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WO2013166810A1 - Magnetic resonance imaging superconducting magnet system and method and device for acquiring structural parameter thereof - Google Patents

Magnetic resonance imaging superconducting magnet system and method and device for acquiring structural parameter thereof Download PDF

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Publication number
WO2013166810A1
WO2013166810A1 PCT/CN2012/083287 CN2012083287W WO2013166810A1 WO 2013166810 A1 WO2013166810 A1 WO 2013166810A1 CN 2012083287 W CN2012083287 W CN 2012083287W WO 2013166810 A1 WO2013166810 A1 WO 2013166810A1
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Prior art keywords
magnetic field
current
coil
coil system
value
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PCT/CN2012/083287
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French (fr)
Chinese (zh)
Inventor
倪志鹏
王秋良
严陆光
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中国科学院电工研究所
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Publication of WO2013166810A1 publication Critical patent/WO2013166810A1/en

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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00Arrangements or instruments for measuring magnetic variables
    • G01R33/20Arrangements or instruments for measuring magnetic variables involving magnetic resonance
    • G01R33/28Details of apparatus provided for in groups G01R33/44 - G01R33/64
    • G01R33/38Systems for generation, homogenisation or stabilisation of the main or gradient magnetic field
    • G01R33/381Systems for generation, homogenisation or stabilisation of the main or gradient magnetic field using electromagnets
    • G01R33/3815Systems for generation, homogenisation or stabilisation of the main or gradient magnetic field using electromagnets with superconducting coils, e.g. power supply therefor

Definitions

  • the magnetic resonance imaging technology of the present invention especially relates to a magnetic resonance imaging superconducting magnet system and a method and a device for acquiring the structural parameters thereof.
  • Magnetic Resonance Imaging is a high-tech image based on the magnetic properties of biological magnetic nuclei, such as hydrogen atoms, in magnetic fields. It has no electromagnetic radiation, high image contrast, and can be imaged in any direction. The advantages make it the first in medical imaging equipment.
  • the core components of the RI system mainly include magnet systems (also known as: superconducting magnet systems), spectrometer systems, computer systems, and image display systems.
  • the magnet system also known as the MRI superconducting magnet system
  • the function of the magnet system is to produce a high field strength, high uniformity, and high stability spatial magnetic field distribution in a generally spherical imaging region, so that the hydrogen atoms inside the human body are magnetized in the magnetic field, and the RF is generated by the RF line.
  • the signal causes the hydrogen atom to resonate and attract the RF excitation, so that the energy absorbed by the hydrogen atom is released to be captured by the signal receiving device. Capture, finally through the image processing after the image processing, the resulting image resolution is proportional to the magnetic field strength.
  • Hpp peak-to-peak homogeneity
  • the ratio, ie: Hpp (B max - B min ) / mean (B) xl0 6 , in parts per million, ppm, where B max represents the highest value of the magnetic field strength within the DSV, 8 criz ⁇ indicates the lowest value of the magnetic field strength in the DSV, mean(B) represents the average value of the magnetic field strength in the DSV, and the smaller the value of the peak-to-peak uniformity of the magnetic field, the better the peak-to-peak uniformity of the magnetic field.
  • the DSV requires a high uniformity magnetic field distribution with a peak-to-peak uniformity of the magnetic field better than lOppni in an imaging spherical region with a diameter of 40 to 50 cm.
  • the magnet system In the early MRI system, the magnet system was more than two meters long, and the patient performed magnetic resonance detection. Out of tension and worry, this phenomenon is called claustrophoscopic clinically. In order to reduce the phenomenon of claustrophobia, MRI superconducting magnet system design has been moving toward how to reduce the length of the magnet system without reducing the size and magnetic of the imaging area. In the direction of uniformity, for example, in a 1.5T MRI system in 1989, the magnet system was up to 2.4m in length and weighed 13t. In 2009, the same 1.5T MRI system, the length of the magnet system was reduced to 1.37m, and the weight was 3.2t. However, if the magnet system is too short, it will bring other problems, such as difficulty in achieving uniformity, large electromagnetic stress, and difficult construction due to compact structure. Therefore, the MRI superconducting magnet system is designed. The process of balancing multiple parameters.
  • the design parameters of the MRI superconducting magnet system mainly include: 1 the spatial size of the line pattern to be arranged; 2 the size, shape, central magnetic field strength and peak-to-peak uniformity of the magnetic field; 3 screens Masking technique and 5 Gaussian stray field range; the highest value of magnetic field strength and current safety margin in 4-line graph. These parameters become the main indicators determining the performance of MRI superconducting magnets. among them:
  • Space size to be laid out Generally, it is a hollow core solenoid space with a rectangular cross section.
  • the size of the hollow core solenoid space is mainly determined by the inner diameter miograph, outer diameter and length of the hollow core solenoid.
  • the inner diameter of the space determines the minimum inner diameter of the magnet system, determines the room temperature aperture of the final magnet system and the comfort level during the patient's diagnosis;
  • the outer diameter of the space determines the outer diameter of the magnet system, outside the magnet system.
  • the size of the path determines the overall system cost and floor space; and the length of the space determines the final length of the magnet system, which is the decisive factor in reducing the phenomenon of claustrophobia.
  • Imaging area size, shape, central magnetic field strength and peak-to-peak value of the magnetic field is generally a spherical body with a diameter of 40cm ⁇ 50cm, which can meet the needs of whole body imaging; the central magnetic field strength determines the resolution of imaging, 1.5T and 3T is the mainstream product in the current market.
  • the peak-to-peak uniformity of the magnetic field is generally better than lOppm to meet the imaging needs.
  • Shielding technology is generally divided into passive shielding and active shielding technology.
  • Magnetic shielding is used to shield the influence of the magnetic field generated by MRI on the surrounding environment.
  • the magnetic field coupling of ferromagnetic substances around the magnetization affects the MRI magnetic field uniformity.
  • Passive shielding technology is to form a magnetic field loop around the MR1 through a ferromagnetic material, and to control the magnetic field outside the ferromagnetic material within a certain range. This technology makes the MRI large-area, inconvenient to install and susceptible to environmental factors such as temperature.
  • the structure of the magnet is relatively simple and the cost of the magnet is greatly reduced.
  • Many early products shield the magnetic field in this way.
  • one or more pairs of reverse current coils can be added to the outer layer of the magnet system by active shielding technology to shield the stray field.
  • This design makes the magnet system footprint greatly reduced.
  • the turns structure is more complicated than the passive shield magnet system.
  • Stray fields generally require a magnetic field strength of less than 5 Gauss in an ellipsoid.
  • the highest value of the magnetic field strength and the current safety margin in the 4-wire When the coil is energized, a magnetic field distribution is generated in the space, and the energized coil generates an electromagnetic force in the magnetic field. The larger the magnetic field is the electromagnetic force received by the coil. The greater the force, the greater the electromagnetic force will weaken the superconducting wire Performance, even destroying superconducting magnets. Therefore, in order to avoid excessive electromagnetic force on the coil, the maximum value of the magnetic field strength in the coil is usually limited to less than 8T.
  • the working point of the coil including the running current (lop) of the coil and the highest value of the magnetic field strength (B max ) in the coil, combined with the critical characteristics of the selected superconducting wire, calculates the critical point corresponding to the working point (Ic, Bc), calculate the current safety margin of the magnet system by the ratio of the operating current (lop) at the operating point to the operating current (Ic) at the critical point.
  • the current safety margin should be set to less than 80%.
  • the difficulty in designing an MRI superconducting magnet system is to design a magnetic field distribution that produces a high magnetic field and high uniformity in a small space.
  • the design parameters of the MRI superconducting magnet system are contradictory to each other. The shorter the length of the magnet, the more difficult it is to achieve the image area and the more complex the magnet structure. Therefore, for the magnet system designer to balance the advantages and disadvantages, select the appropriate design parameters, and design the MRI superconducting magnet system to meet the requirements.
  • the design of the magnet system is essentially a solution to the electromagnetic field problem.
  • the solution of the electromagnetic field problem can be divided into two categories, one is the positive problem of the electromagnetic field, that is: the electromagnetic field distribution of the space is calculated according to the current source distribution in the space; the other is the inverse problem of the electromagnetic field, ie: according to the space
  • the required electromagnetic field distribution is used to solve the current source position of the space.
  • magnet system designers used the method of solving the positive problem of electromagnetic field, and through the distribution characteristics of the magnetic field generated by the solenoid coil, patching multiple turns in space to improve the uniformity of the magnetic field generated by the magnet system, the workload is large. It is difficult to meet the requirements.
  • designers continue to solve the electromagnetic field inverse problem through a variety of numerical optimization algorithms, such as Monte Carlo, simulated annealing algorithm, genetic algorithm, etc.
  • the numerical optimization algorithm can be divided into global Optimization algorithm and local optimization algorithm.
  • the global optimization algorithm can solve the global optimal solution in the whole space, but due to the slow calculation speed, it is difficult for the magnet designer to modify the program effectively and effectively, so that the magnet design efficiency is low.
  • the local optimization algorithm can optimize the parameters of the coil according to the initial values of the parameters. However, the selection of the initial values determines whether the global optimal solution can be solved. For many years, magnet system designers have been trying to solve a reasonable initial value and combine a local optimization algorithm to design a more reasonable magnet system, so that the entire design process of the magnet system has higher computational efficiency and can achieve a global optimal solution.
  • Dr. Huawei Zhao proposed a multilayer current density design method for designing a compact MI magnet system. He proposed dividing the space in the line to be divided into multiple layers. Structure, each source layer is divided into several source points, each source point represents an ideal current ring, and the current distribution curve at all source point positions satisfying the requirements of the magnet system is solved by the regularization numerical method, and the current distribution is obtained. The peak position of the curve is used as the initial position of the spiral pipeline, and combined with the nonlinear optimization algorithm, the magnet system that meets the system design requirements is finally solved.
  • the design method can obtain the initial value of the position of the coil by a layered method, and then design a magnetic system that meets the requirements by a local optimization algorithm.
  • the design of the multilayer current density has at least the following problems:
  • the stratified position selection has blindness, making it difficult to ensure that the line graph structure is a global optimal solution; a magnet system design scheme needs to run for 4 to 10 hours, and the design efficiency is relatively high. low.
  • Dr. Quang M. Tien proposed a global optimal design method based on the minimum energy storage of magnet systems.
  • each grid represents a spiral line ⁇
  • the current distribution map in all the grids is calculated under the condition that the magnet system requirements are met and the magnet system has the minimum energy storage; also in the current distribution At the peak position, the initial position of the solenoid coil is reasonably arranged, and the sequence quadratic programming algorithm is combined to solve the magnet system that meets the requirements.
  • the design method is that the global optimum initial value is obtained in the entire layout space, and the coil structure is more reasonable.
  • the global optimal design method based on the minimum energy storage of the magnet system has at least the following problems:
  • the grid current is a continuously changing curved surface, and it is difficult to define each spiral pipeline. In the initial position, it is difficult to achieve an optimal design. Summary of the invention
  • One of the technical problems to be solved by the embodiments of the present invention is to provide a magnetic resonance imaging superconducting magnet system and a method and device for acquiring the structural parameters thereof, so as to improve the acquisition efficiency of the structural parameters of the MRI superconducting magnet system, and
  • the coil structure in the MRI superconducting magnet system manufactured by the structural parameters is small, so that the MRI superconducting magnet system manufactured based on the structural parameters has higher performance.
  • a method for acquiring structural parameters of a magnetic resonance imaging superconducting magnet system includes:
  • each grid obtained by the division is regarded as a current ring, and the current value of each current ring includes a positive value, a negative value or zero; And uniformly dividing the surface of the spherical imaging region of the superconducting magnet system and the surface of the ellipsoid of the 5 Gaussian stray field into a plurality of target points according to a preset standard;
  • the magnetic field + value uniformity at each target point on the surface of the spherical imaging region is not greater than the first predetermined magnetic field peak-to-peak uniformity, and the limiting condition of the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field is a constrained component, calculating a current distribution at each of the meshes that minimizes the volume of the coil system under a given operating current density condition by a linear programming algorithm, and obtaining a current distribution map;
  • the first predetermined magnetic field value uniformity is greater than or Equal to the second preset magnetic field value uniformity in the design requirements of the superconducting magnet system;
  • the number and spatial position of the non-zero current values in the current distribution diagram are respectively taken as the number and initial position of the spiral pipeline diagram in the coil system;
  • the limiting condition and the current safety margin limit of the operation of the coil system are the second constraint condition.
  • the nonlinear optimization algorithm is used to calculate the size and position parameters of each solenoid coil when the volume of the coil system is the smallest, and the final structural parameters of the coil system are obtained.
  • the size and positional parameters of each solenoid coil include an inner radius, an outer radius, and an axial position of each end of each spiral line.
  • the spatial extent of the coil system to be arranged is specifically a solenoid-shaped region having a rectangular cross-section, the extent of the region being determined by parameters of a rectangular cross-section, the parameters of the rectangular cross-section including the inner diameter of the rectangular cross-section , outer diameter and length;
  • Continuous meshing of the spatial extent of the coil system to be arranged includes: successively meshing the radial cross sections in the radial and axial directions, respectively.
  • the continuous meshing of the rectangular cross section in the radial direction and the axial direction respectively comprises: performing a two-dimensional continuous mesh division on the rectangular cross section in the radial direction and the axial direction, respectively
  • the radial and axial directions are divided into several equal parts to form a two-dimensional continuous space grid.
  • the current profile gives the magnitude and direction of the current at each grid, and non-zero current values at the grid are brought together to form a clear boundary non-zero current cluster.
  • a forward current spiral pipeline map is placed at each positive position of the non-zero current cluster, and a reverse current spiral pipeline map is respectively placed at each negative position of the non-zero current cluster.
  • the limiting conditions of the magnetic field strength values at the respective target points on the surface of the ellipsoid of the 5 Gaussian stray field include: 5
  • the magnetic field strength value at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss.
  • the second constraint comprises:
  • the peak-to-peak uniformity of the magnetic field of the axial magnetic field at each target point on the surface of the spherical imaging region is not greater than the peak-to-peak uniformity of the second predetermined magnetic field;
  • the superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength
  • the current safety margin of the coil system operation is not greater than a preset current safety margin calculated from a highest magnetic field strength value in the coil system and a critical characteristic of the superconducting wire selected by the coil system;
  • the spacing between adjacent solenoid coils in the turns system is greater than the preset spacing
  • each of the solenoid lines ⁇ causes the line drawing system to be within the spatial extent of the line system to be placed.
  • the superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the 5 Gaussian stray field is not greater than the preset magnetic field strength including:
  • the superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss.
  • the method further includes:
  • the current safety margin of the coil system operation is obtained by the maximum magnetic field strength value in the preset coil system and the critical characteristics of the superconducting wire selected by the coil system.
  • a receiving unit configured to receive spatial range information of the coil system to be arranged, a first predetermined magnetic field peak-to-peak uniformity, a limit condition of a magnetic field strength value at each target point on an ellipsoid surface of a 5 Gaussian stray field, and a running current density condition , the second preset magnetic field peak-to-peak uniformity limit condition in the design requirements of the superconducting magnet system, and the target points on the surface of the ellipsoid of the 5 Gaussian stray field
  • each divided grid is regarded as a current ring, and the current value of each current ring includes a positive value, a negative value or zero;
  • a first calculating unit configured to: the magnetic field peak-to-peak uniformity at each target point on the surface of the spherical imaging region is not greater than the first predetermined magnetic field peak-to-peak uniformity, and the magnetic field at each target point on the surface of the ellipsoid of the 5 Gaussian stray field
  • the limiting condition of the intensity value is a first constraint component, and a current distribution map is obtained by a linear programming algorithm for calculating a current distribution at each grid at a given operating current density condition to minimize the volume of the coil system;
  • a second calculating unit configured to respectively use the number and spatial position of the non-zero current values in the current distribution map as the number and initial position of the solenoid line ⁇ in the coil system; and the second predetermined magnetic field peak-to-peak uniformity Restricted condition, magnetic field strength value limit at each target point on the surface of the ellipsoid of the 5 Gaussian stray field, maximum magnetic field strength value limit condition in the coil system, current safety margin limit of the operation of the coil system is the second constraint
  • the size and position parameters of each solenoid coil are calculated by a nonlinear optimization algorithm to obtain the final structural parameters of the coil system; wherein the size and position parameters of each spiral line include each spiral The inner radius, outer radius, and axial position of the two ends of the line.
  • the spatial extent of the coil system to be arranged is specifically a solenoid-shaped region having a rectangular cross section, the range of the region being determined by parameters of a rectangular cross section, and the parameters of the rectangular cross section include a rectangular cross section.
  • the rectangular cross section is divided into two dimensions in the radial direction and the axial direction, respectively, and the rectangular cross section is along the radial direction.
  • the axial directions are divided into several equal parts to form a two-dimensional continuous space grid.
  • the current distribution diagram gives the magnitude and direction of the current at each grid, and the non-zero current values at the grid are gathered together to form a clear-cut non-zero current cluster;
  • Each positive position of the non-zero current cluster is used to arrange a forward current solenoid line ⁇ , and each negative value position is used to arrange a reverse current solenoid line ⁇ , respectively.
  • the second constraint comprises:
  • the peak-to-peak uniformity of the magnetic field of the axial magnetic field at each target point on the surface of the spherical imaging region is not greater than the uniformity of the second predetermined magnetic field value
  • the superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength
  • the current safety margin of the coil system operation is not greater than a preset current safety margin calculated from the highest magnetic field strength value in the line surrounding system and the critical characteristic of the superconducting wire selected by the coil system. ;
  • the spacing between adjacent spiral conduits in the coil system is greater than a predetermined spacing
  • each solenoid line ⁇ causes the coil system to be within the spatial extent of the coil system to be placed.
  • the limitation of the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field comprises: 5 The magnetic field strength value at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss;
  • the superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength including: 5
  • the axial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field The superimposed magnetic field strength with the radial magnetic field is not more than 5 Gauss.
  • the second calculating unit is further configured to obtain a current safety margin of the coil system operation according to a highest magnetic field strength value in the preset coil system and a critical characteristic of the superconducting wire selected by the coil system.
  • a magnetic resonance imaging superconducting magnet system provided by an embodiment of the present invention is obtained by acquiring a structural parameter of the magnetic resonance system.
  • the method and device for acquiring structural parameters of the MRI superconducting magnet system wherein the peak-to-peak uniformity of the magnetic field at each target point on the surface of the DSV is not greater than the first predetermined magnetic field peak-to-peak uniformity, and the ellipsoid of the 5 Gaussian stray field
  • the constraint condition of the magnetic field strength value at each target point on the surface is the first constraint condition, and the condition of the given operating current density is calculated by the linear programming algorithm.
  • the current distribution at each grid that minimizes the volume of the coil system is obtained, and the current distribution map is obtained, and then the number and spatial position of the non-zero current values in the current distribution map are respectively taken as the number of spiral pipeline turns in the coil system.
  • the initial position is the second constraint condition in the design requirements of the superconducting magnet system.
  • the nonlinear structure optimization parameter is used to calculate the size and position parameters of each spiral pipeline diagram when the volume of the coil system is the smallest, and the final structural parameters of the coil system are obtained.
  • the hybrid design method combining the linear programming algorithm and the nonlinear optimization algorithm is adopted in the embodiment of the present invention, the number and initial position of the spiral pipeline ⁇ in the coil system are obtained by the linear programming algorithm with higher efficiency, and the nonlinear optimization algorithm is combined.
  • the MRI superconducting magnet system with the structural parameters obtained in the above embodiment has a smaller wire loop structure, requires the least amount of superconducting wire, has the advantages of simple and compact wire loop structure, low cost, and is easy to construct and install, thereby making it based on
  • the MRI superconducting magnet system manufactured by the structural parameters has high performance, and overcomes the problem that the existing MRI superconducting magnet system is inefficient in electromagnetic design and difficult to realize optimal design.
  • the current safety margin limit provides a robust guarantee for the stable operation of the entire MRI superconducting magnet system.
  • FIG. 1 is a schematic flow chart of a method for obtaining structural parameters of an MRI superconducting magnet system according to an embodiment of the present invention
  • FIG. 2 is a schematic flow chart of a method for acquiring structural parameters of an MRI superconducting magnet system according to another embodiment of the present invention
  • FIG. 3 is a structural parameter of an MRI superconducting magnet system according to an application embodiment of the present invention. Schematic flow chart of the acquisition method
  • FIG. 4 is a schematic diagram of a spatial extent, a DSV region, and a 5 Gaussian stray field region in which the turns are arranged in the application embodiment shown in FIG. 3;
  • FIG. 5 is a current distribution diagram obtained by a linear programming algorithm in the application embodiment shown in FIG. 3;
  • FIG. 6 is a magnetic field «value uniformity distribution diagram of an axial magnetic field at a target point on the surface of the DSV obtained in the application example shown in FIG. 3;
  • FIG. 7 is a magnetic field intensity distribution map at each target point on the surface of an ellipsoid of a 5 Gaussian stray field obtained in the application example shown in FIG. 3;
  • FIG. 8 is a schematic diagram of initial position and size parameters of a non-zero current cluster discrete into a spiral line ⁇ in the application embodiment shown in FIG. 3;
  • FIG. 9 is a schematic diagram of final structural parameters of a line ⁇ system optimized by a nonlinear optimization algorithm in the application embodiment shown in FIG. 3;
  • FIG. 10 is a magnetic field uniformity distribution diagram of a DSV surface optimized by a nonlinear optimization algorithm in the application embodiment shown in FIG. 3;
  • FIG. 11 is a magnetic field intensity distribution diagram at each target point on the surface of an ellipsoid of a 5 Gaussian stray field obtained by a nonlinear optimization algorithm in the application embodiment shown in FIG. 3;
  • Figure 12 is a current safety margin diagram of the MRI superconducting magnet system in the application embodiment shown in Figure 3;
  • Figure 13 is a diagram showing the distribution of magnetic field strength generated by the coil system in space in the application embodiment shown in Figure 3;
  • Figure 14 is a magnetic field intensity distribution diagram of a solenoid enthalpy in one end of the inner layer in the coil system of the application embodiment shown in Figure 3;
  • Figure 15 is a schematic block diagram of an apparatus for acquiring structural parameters of an MRI superconducting magnet system according to an embodiment of the present invention. detailed description
  • FIG. 1 is a schematic flow chart showing a method of obtaining structural parameters of an MRI superconducting magnet system according to an embodiment of the present invention. As shown in FIG. 1, the method for obtaining the structural parameters of the MRI superconducting magnet system of this embodiment includes:
  • each divided grid is regarded as a current ring, and the current value of each current ring may be positive, negative or zero;
  • the preset standard evenly divides the DSV surface of the superconducting magnet system and the ellipsoidal surface of the 5 Gaussian stray field into several target points.
  • the space range in which the coil system is to be arranged is preset according to the production requirements of the MRI superconducting magnet system.
  • the first constraint condition is obtained by calculating a current distribution at each grid at a given operating current density to minimize the volume of the coil system by a linear programming algorithm.
  • the first predetermined magnetic field peak-to-peak degree is greater than or equal to the design of the superconducting magnet system Finding the second preset magnetic field value uniformity.
  • the limitation of the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field may include: 5
  • the magnetic field intensity value at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss.
  • the nonlinear structure optimization parameter is used to calculate the size and position parameters of each spiral line ⁇ when the volume of the coil system is the smallest, and the final structural parameters of the coil system are obtained.
  • each spiral line includes the inner radius, the outer radius of each solenoid coil, and the axial position of the two ends.
  • a hybrid design method combining a linear programming algorithm and a nonlinear optimization algorithm is adopted, and the number and initial position of the spiral pipelines in the coil system are obtained by a linear programming algorithm with high efficiency, and then combined with a nonlinear optimization algorithm.
  • the acquisition of the entire structural parameter takes only about 20 minutes; and the coil structure of the MRI superconducting magnet system using the structural parameters obtained by the above embodiment of the present invention is small, and the required amount of superconducting wire is minimum.
  • the utility model has the advantages of simple compactness and low cost, and is easy to construct and install, so that the MRI superconducting magnet system manufactured based on the structural parameter has high performance and overcomes the existing MRI superconducting magnet system in electromagnetic field. Designed to be less efficient and difficult to achieve optimal design issues.
  • the current safety margin limits provide a robust guarantee for the stable operation of the entire MRI superconducting magnet system.
  • the second constraint may specifically include:
  • the peak-to-peak uniformity of the magnetic field of the axial magnetic field at each target point on the surface of the spherical imaging region is not greater than the peak-to-peak uniformity of the second predetermined magnetic field; 5
  • the superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength, for example, the axial direction at each target point on the surface of the ellipsoid of the 5 Gaussian stray field
  • the superimposed magnetic field strength of the magnetic field and the radial magnetic field is not more than 5 Gauss;
  • the current safety margin of the coil system operation is not greater than the preset current safety margin, and the preset current safety margin is the highest magnetic field strength value and coil in the coil system
  • the critical characteristics of the superconducting wire selected by the system are calculated;
  • the spacing between adjacent solenoid coils in the turns system is greater than the preset spacing
  • each solenoid line ⁇ place the coil system within the space within which the coil system is to be placed.
  • the spatial extent of the wire loop system to be disposed in the embodiment of the present invention may specifically be a solenoid-shaped region having a rectangular cross section, the range of the region being determined by parameters of the rectangular cross section, wherein the parameters of the rectangular cross section include The inner diameter, outer diameter, and length of the rectangular section.
  • the continuous meshing of the spatial extent of the system to be arranged may be : Continuous meshing of the rectangular section in the radial direction and the axial direction respectively.
  • continuous meshing of the rectangular section in the radial direction and the axial direction respectively includes: two-dimensional continuous radial and axial directions respectively for the rectangular section Meshing divides the rectangular section into several equal parts along the radial and axial directions to form a two-dimensional continuous space grid.
  • the current distribution diagram gives the magnitude and direction of the current at each grid, and the current values at the grid are not zero. Together form a clear, non-zero current cluster.
  • a forward current spiral line ⁇ is respectively arranged at each positive value position of the non-zero current cluster, and a reverse current spiral line ⁇ is respectively arranged on the Each negative position of a non-zero current cluster.
  • the preset current safety margin can be calculated according to the highest magnetic field strength value in the preset coil system and the critical characteristic of the superconducting wire selected by the coil system.
  • the spatial range of the coil system to be arranged is preset according to the manufacturing requirements of the MRI superconducting magnet system, and the spatial range is specifically a rectangular cross section.
  • 2 is a schematic flow chart of a method for acquiring structural parameters of an MRI superconducting magnet system according to another embodiment of the present invention. As shown in FIG. 2, the method for acquiring structural parameters of the MRI superconducting magnet system of the embodiment includes:
  • 201 Perform a two-dimensional continuous mesh division on the rectangular section of the coil system to be arranged in the radial direction and the axial direction respectively, and divide the rectangular section into a plurality of equal parts along the radial direction and the axial direction to form a two-dimensional continuous space grid.
  • Each grid is regarded as a current ring, and the current value of each current ring can be positive, negative or zero; and the DSV surface of the superconducting magnet system and the ellipsoid of the 5 Gaussian stray field according to preset criteria The surface is evenly divided into several target points.
  • the current value of the current ring at each mesh obtained by dividing the rectangular section is used as a variable to be optimized, so that the peak-to-peak uniformity of the magnetic field at each target point on the DSV surface is not greater than the first predetermined magnetic field peak-to-peak uniformity, 5
  • the height of the magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss is the first constraint.
  • the linear programming algorithm is used to calculate the meshes that minimize the volume of the coil system under the given operating current density.
  • a current distribution diagram is obtained.
  • the current distribution diagram shows the magnitude and direction of the current at each grid.
  • the current value at most of the grid is zero, and only a few current values are not zero, not Zero current values are grouped together to form a clear, non-zero current cluster.
  • the first predetermined magnetic field peak-to-peak uniformity is greater than or equal to the second predetermined magnetic field value uniformity in the superconducting magnet system design requirements.
  • a forward current spiral line ⁇ is respectively arranged at each positive value position of the non-zero current cluster, and a reverse current solenoid coil is respectively arranged in the non-zero current coil.
  • Each negative position of the zero current cluster the arrangement of the spiral line ⁇ conforms to the requirement that the actual magnet system consists of a plurality of separate spiral line diagrams of the same current magnitude; and, by the position and total current of the non-zero current cluster
  • the size can be used to construct the initial position and size parameters of each spiral line.
  • Initial position and size parameters of the solenoid line As the initial value of the spiral pipeline ⁇ structural parameters in the subsequent nonlinear optimization algorithm, it compensates for the blindness of the local optimization algorithm in the initial value selection of the solenoid coil structure parameters.
  • the superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss;
  • the current safety margin of the coil system operation is not greater than the preset current safety margin to ensure the safety of the MRI superconducting magnet system
  • the spacing between adjacent solenoid coils in the coil system is greater than the preset spacing, and the axial dimension of each solenoid coil may be constrained so that the spacing of adjacent spiral pipelines is greater than a preset spacing, thereby avoiding Each of the solenoid coils overlap each other to facilitate the construction of the solenoid line ;;
  • each solenoid line ⁇ place the coil system within the space within which the coil system is to be placed.
  • N is the number of solenoids included in the coil system, ie: the number of solenoid coils required for the MRI superconducting magnet system
  • r inner is the ith spiral line of the N solenoid coils
  • z lert is the axial position of one end of the i-th solenoid coil
  • z right is the axial position of the other end of the i-th solenoid line.
  • the embodiment shown in FIG. 2 of the present invention greatly improves the acquisition efficiency of the structural parameters of the MRI superconducting magnet system.
  • the acquisition of the entire structural parameter takes only about 20 minutes, wherein operation 201 - 202 takes about 5 minutes, and operation 203 - 203 takes about 15 minutes.
  • the MRI superconducting magnet system using the structural parameters obtained by the embodiment shown in Fig. 2 above requires the least amount of superconducting wire, which reduces the i-price of the entire MRI superconducting magnet system; meanwhile, the wire loop system has a simple structure and is easy to construct. And installation, the limitation of current safety margin provides an effective guarantee for the stable operation of the entire MRI superconducting magnet system.
  • FIG. 3 it is a schematic flow chart of a method for acquiring structural parameters of an MRI superconducting magnet system according to an application embodiment of the present invention.
  • the MRI superconducting magnet system is required to generate a magnetic field distribution with a central magnetic field strength of 1.5T in a DSV having a diameter of 50 cm, and the peak-to-peak uniformity of the magnetic field needs to be better than 10 ppm; 5 Gaussian stray field is constrained to an ellipsoid In the region, the long semi-axis length of the ellipsoid is 5m, and the short semi-axis is 4m; the inner radius of the coil system is not less than 0,40m, the outer radius is not more than 0.80m, and the length is shorter than 1.15m, namely: the coil system The minimum inner radius is 0.40m, the maximum outer radius of the coil system is 0.80m, and the maximum length of the coil system is 1.15m; the highest magnetic field strength in the coil system is less than
  • the spatial extent of the coil system to be arranged is set according to the production requirements of the MRI superconducting magnet system.
  • the two-dimensional continuous mesh division of the rectangular cross-section of the coil system to be arranged is respectively performed in the axial direction and the radial direction, and the rectangular cross-section is respectively divided into 80 and 40 in the axial direction and the radial direction.
  • Each grid is regarded as an ideal current ring, and the current value of each current ring can be positive, negative or zero. .
  • FIG. 4 it is a schematic diagram of a spatial range, a DSV surface area, and a 5 Gaussian stray field area in which the turns are to be arranged in the application embodiment of the present invention.
  • Fig. 4 it is a schematic diagram of a spatial range, a DSV surface area, and a 5 Gaussian stray field area in which the turns are to be arranged in the application embodiment of the present invention.
  • the upper part is a schematic diagram of a two-dimensional continuous space grid; the lower part is a schematic diagram of a coil system of a spiral line arranged in a subsequent operation, and the outermost rectangle represents a section of the coil system, each of which is small
  • the rectangle represents the cross section of a spiral line.
  • the outer ellipse represents the cross section of the ellipsoidal surface of the 5 Gaussian stray field, and the inner circle represents the section of the DSV surface.
  • Gap represents the spacing between adjacent solenoid coils, specifically the inter-turn spacing.
  • the current value of the current ring at each grid obtained by dividing the rectangular section is used as a variable to be optimized, and the current distribution of each grid at the smallest volume of the line graph system is calculated by a linear programming algorithm to obtain a current distribution map. .
  • the matrix of the contribution matrix A zs and the radial magnetic field contribution matrix A rs , the magnetic field contribution matrix A zd , the magnetic field contribution matrix A zs and the magnetic field contribution matrix ⁇ are both 51x3200; the variable to be optimized is the current value I at all the grids, .
  • the ideal current loop can be represented by a spiral line ⁇ with a certain cross section, establishing a mathematical model of the linear programming algorithm, since the mesh with the smallest volume of the coil system is obtained.
  • Current distribution at all grids The total volume of ⁇ is used as the objective function, and the minimum value of the objective function takes the smallest volume of the line ⁇ system.
  • the minimum value of the peak-to-peak uniformity of the axial magnetic field at each target point on the DSV surface is set to each target point on the surface of the ellipsoid of 20 ppm, 5 Gaussian stray field.
  • the maximum values of the axial magnetic field and the radial magnetic field strength are set to 5 Gauss; assuming that the cross-sectional area of the superconducting wire used in the spiral line is 4.5312 m 2 , the critical current of the superconducting wire at 9 T background magnetic field strength is 950 A, Set the operating current density of the solenoid line ⁇ to 148 ⁇ / ⁇
  • the radial position of the i-th grid is ri
  • the cross-sectional area of the spiral line ⁇ represented by the ⁇ grid is Ai
  • the volume ⁇ at the i-th grid is 2 ⁇ > ⁇ , assuming the same operating current density, the total volume of the coil system is:
  • the first constraint includes: A... xl ⁇ 5 Gauss
  • max(A zd xI) represents the maximum value of the magnetic field strength of the target point on the DSV surface
  • min(A zd xI) represents the minimum value of the magnetic field strength of the target point on the DSV surface.
  • B. The value of the center magnetic field strength is 1.5T; J is the operating current density of the spiral line ;; A mesh is the area occupied by each grid.
  • a positive value indicates that a spiral line ⁇ with a forward current is required at the corresponding grid
  • a negative value indicates that a solenoid coil with a reverse current is required at the corresponding grid, and zero corresponds to There is no need to arrange a spiral line around the grid. From the position of the non-zero current cluster of the current profile, it can be clearly seen that the spatial position of the six pairs of solenoids and the arrangement of the solenoid coils needs to be arranged.
  • FIG. 6 the magnetic field peak-to-peak uniformity distribution map of the axial magnetic field at each target point on the surface of the DSV obtained corresponding to the current profile shown in Fig. 5 is shown. It can be seen from Fig. 6 that the magnetic field peak-to-peak uniformity of the axial magnetic field at each target point on the surface of the DSV satisfies 20 ppm.
  • the intensity values are not greater than 5 Gauss.
  • the initial position and size parameters of each spiral line ⁇ can be obtained and used as the initial values of the spiral line group structure parameters in the subsequent nonlinear optimization algorithm. As shown in FIG. 8, the initial position and size parameters of the non-zero current clusters in the current distribution diagram obtained by the linear programming algorithm in this application embodiment are separated into spiral pipelines.
  • the solenoid line obtained in operation 303 is performed by a nonlinear optimization algorithm
  • the initial values of the structural parameters of the circle are optimized, and the size and position parameters of each spiral line ⁇ are calculated when the volume of the coil system is the smallest, and the final structural parameters of the coil system are obtained.
  • the variables to be optimized in the nonlinear optimization algorithm are the structural parameters of each spiral line, including the following dimensions and spatial position parameters of each solenoid coil: r inner (i), r outer (i), z left ( i), z right (i), where 1,2 ..,6, r inner (i) is the inner radius of the ith spiral line ,, r.
  • Uter (i) is the outer radius of the ith spiral line
  • z, eft (i) is the end axial position of the ith spiral line
  • z right (i) is the ith solenoid
  • the other end of the coil is axially positioned.
  • the minimum value of the objective function takes the minimum volume of the system.
  • the magnetic field strength of the axial magnetic field and the radial magnetic field of the target point on the surface of the ellipsoid of the 5 Gaussian stray field is set to be no more than 5 Gauss;
  • the highest magnetic field strength in the coil system is less than 8T, and the current safety is less than 80% according to the highest magnetic field strength in the coil system and the performance of the selected superconducting wire; the same layer of spiral pipelines are convenient for construction and It is avoided that the solenoid coils overlap each other, exemplarily preset that the inter-turn spacing of the spiral line turns is greater than 1 cm, and the radial different interlayer spacing is greater than 1 cm.
  • the objective function is: ⁇ 2 x [_ r ou, er ( 2 - r imer ⁇ if" x [z right (i) - ⁇ 1 (0)
  • the second constraint includes:
  • 8 3 ⁇ 4 ( ⁇ is the magnetic field strength of the axial magnetic field generated by the solenoid coil at each target point on the DSV surface, 8 ⁇ is the ellipse of the spiral line ⁇ in the 5 Gaussian stray field
  • B rstray is the magnetic field strength of the radial magnetic field generated at each target point on the surface of the 5 Gaussian stray field ellipsoid
  • max(B zdsv ) Indicates the maximum value of the magnetic field strength at all target points
  • max(B zdsv ) represents the minimum of the magnetic field strength at all target points
  • mean(B zdsv ) represents the average of the magnetic field strength at all target points
  • lop is the superconducting magnet
  • the operating current of the system at the operating point, Ic(B max ) is the corresponding critical current value Ic in the superconducting wire calculated from the operating current lop
  • FIG. 9 it is a schematic diagram of the final structural parameters of the coil system obtained by the nonlinear optimization algorithm in the application embodiment shown in FIG.
  • the black area indicates the solenoid coil in which the energization direction is forward
  • the white area indicates the negative solenoid line ⁇ in the energization direction.
  • the line drawing system has two layers of six pairs of spiral lines, wherein the inner layer has five pairs of spiral lines and the outer layer has a pair of shielded spiral lines.
  • Fig. 10 is a view showing the distribution of the peak-to-peak uniformity of the magnetic field of the axial magnetic field at each target point on the DSV surface optimized by the nonlinear optimization algorithm in the application embodiment.
  • 11 is a magnetic field intensity distribution diagram at each target point on the surface of an ellipsoid of a 5 Gaussian stray field obtained by a nonlinear optimization algorithm in the application embodiment shown in FIG. 3.
  • FIG. 12 is a current safety margin diagram of the MRI superconducting magnet system in the application embodiment shown in FIG. 3, wherein the thick curve (Ic, Be) represents the critical current characteristic Ic-Bc curve of the selected superconducting wire, and the thin line (B) Max lop) represents the relationship between the operating current lop of the coil system at the operating point and the highest magnetic field strength value B max in the coil system. The intersection of the two curves is the critical point corresponding to the operating point of the coil system.
  • Current safety margin for this application example when Ic 953.3A Degree is 70.35%,
  • FIG. 13 is a magnetic field intensity distribution diagram of a coil system generated in a space in the application embodiment shown in FIG. 3, wherein the magnetic field distribution in the coil system has symmetry
  • FIG. 14 is an inner layer in the coil system of the application embodiment shown in FIG.
  • Table 1 shows the structural parameters of each solenoid coil in the MRI superconducting magnet system corresponding to the application embodiment shown in Fig. 3.
  • Table 2 shows the structural parameters of the MRI superconducting magnet system finally obtained in the application example:
  • all or part of the operations of implementing the above method embodiments may be performed by hardware associated with the program instructions, the foregoing program including machine readable instructions for implementing the method according to the present invention, which may be stored in a
  • Machine readable instructions Thus, the invention also covers a storage medium storing a program for performing the method according to the invention. Previous storage media include: ROM, RAM, disk or optical disk, and other media that can store program code.
  • the method for acquiring the structural parameters of the MRI superconducting magnet system of the present invention is implemented by software, hardware, firmware or any combination of software, hardware, and firmware, the method can be specifically implemented by:
  • the production requirements parameters of the MRI superconducting magnet system for example, including but not Limited to central magnetic field strength, DSV size, magnetic field value uniformity requirement, 5 Gaussian stray field requirements, spatial extent of the coil system, operating current density of a given coil system, current safety margin;
  • the loop iterative calculation is performed by the linear programming algorithm and the nonlinear optimization algorithm, and the structural parameters of the coil system satisfying the production requirements of the MRI superconducting magnet system are obtained.
  • the process is divided into linear programming. Process and nonlinear optimization process two steps.
  • the operation of 101 - 102 or 201 ⁇ 202 is performed, and the variable to be optimized in the linear programming algorithm is the current value at each mesh in the spatial range of the system to be arranged, and the objective function is the snail at all the grids.
  • the total volume of the line pipeline is cyclically iteratively calculated by a linear programming algorithm.
  • the linear programming algorithm automatically adjusts all variables to be optimized (ie, the current values at each grid) and Perform the next iteration calculation until the magnetic field at all target points satisfies the first constraint and the total volume of the spiral line ⁇ represented by all the grids is the smallest, stop the iterative calculation, and obtain the optimal solution of the variable to be optimized.
  • the optimal solution of the optimization variables forms a current distribution map at each grid.
  • the iterative calculation of the preset number of times can be performed based on the convergence characteristic of the total volume of the solenoid coil. For example, iterative calculation is performed 150 times, and the first constraint is satisfied and all the networks are selected.
  • the current value of the smallest volume of the solenoid coil represented by the grid forms a current profile.
  • the non-zero current cluster is converted into a spiral pipeline ⁇ , and the total current and spatial position of each non-zero current cluster are respectively corresponding.
  • the initial total current and initial position of the solenoid coil, performing 103 or 203 ⁇ 204 operation, the variables to be optimized in the nonlinear optimization algorithm are the inner and outer radii of each solenoid coil and the axial directions of the two ends Position, the objective function is the total volume of the spiral line ⁇ at all grids.
  • the loop iterative calculation is performed by the nonlinear optimization algorithm. If the second constraint is not satisfied, the nonlinear optimization algorithm automatically adjusts the size and position parameters of each spiral pipeline within the spatial range of the system to be arranged for the next iterative calculation. , until the conditions in the second constraint are satisfied and the total volume of all the solenoid coils is the smallest, outputting the inside and outside of each solenoid coil The radius and the axial position of the two ends provide the final structural parameters of the coil system.
  • the iterative calculation of the preset number of times can be performed based on the convergence characteristic of the total volume of the spiral pipeline circle, for example, iterative calculation
  • an MRI superconducting magnet system can be constructed to meet the production requirements.
  • Figure 15 is a schematic block diagram of an apparatus for acquiring structural parameters of an MRI superconducting magnet system according to an embodiment of the present invention.
  • the obtaining device of this embodiment can be used to implement the flow of the embodiment of the method for acquiring structural parameters of each of the above MRI superconducting magnet systems of the present invention. As shown in FIG. 15, it includes a receiving unit 301, a dividing unit 302, a first calculating unit 303, and a second calculating unit 304.
  • the receiving unit 301 is configured to receive spatial range information of the coil system to be arranged, a first predetermined magnetic field peak-to-peak uniformity, a limitation condition of a magnetic field strength value at each target point on an ellipsoid surface of a 5 Gaussian stray field, and an operating current density
  • the first predetermined magnetic field peak-to-peak value uniformity is greater than or equal to the second preset magnetic field value uniformity.
  • the dividing unit 302 is configured to perform continuous meshing on the spatial extent of the coil system to be arranged, and each divided grid is regarded as a current ring, and the current value of each current ring includes a positive value, a negative value or zero; And according to the preset standard, the DSV surface of the superconducting magnet system and the ellipsoid surface of the 5 Gaussian stray field are evenly divided into thousands of target points.
  • the first calculating unit 303 is configured to: the magnetic field peak-to-peak uniformity at each target point on the surface of the DSV is not greater than the first predetermined magnetic field peak-to-peak uniformity, and the magnetic field strength at each target point on the surface of the ellipsoid of the 5 Gaussian stray field
  • the value constraint is the first constraint.
  • the current distribution map is obtained by linear programming algorithm to calculate the current distribution at each grid which minimizes the volume of the coil system under a given operating current density.
  • a second calculating unit 304 configured to respectively use the number of current values that are not zero in the current distribution map Head and space position, as the number and initial position of the solenoid coil in the coil system; limit of the magnetic field strength at each target point on the surface of the ellipsoid with 5 Gaussian stray field with the second preset magnetic field peak-to-peak uniformity limit condition
  • the condition of the highest magnetic field strength in the line graph system limits the current safety margin limit of the coil system operation as the second constraint condition.
  • the size of each solenoid coil is calculated by the nonlinear optimization algorithm when the volume of the coil system is the smallest.
  • the positional parameter, the final structural parameters of the coil system are obtained.
  • the size and position parameters of each solenoid coil include an inner radius, an outer radius, and an axial position of the two end portions of each solenoid coil.
  • the spatial extent of the coil system to be arranged is specifically a solenoid-shaped region having a rectangular cross section, the range of which is rectangular
  • the parameters of the rectangular section determine the inner diameter, outer diameter and length of the rectangular section.
  • the two-dimensional continuous meshing may be performed on the rectangular cross-section in the radial direction and the axial direction, respectively, and the rectangular cross-section is along the radial direction.
  • the axial directions are divided into several equal parts to form a two-dimensional continuous space grid.
  • the current distribution diagram gives the magnitude and direction of the current at each grid, and the non-zero current values at the grid are gathered together.
  • each positive position of the non-zero current cluster is used to arrange a forward current solenoid line ⁇
  • each negative value position is used to arrange a reverse current solenoid line ⁇ , respectively.
  • the second constraint includes:
  • the peak-to-peak uniformity of the magnetic field of the axial magnetic field at each target point on the surface of the DSV is not greater than the uniformity of the second predetermined magnetic field value
  • the superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength
  • the current safety margin of the coil system operation is not greater than the preset current safety margin, and the preset current safety margin is calculated from the highest magnetic field strength value in the coil system and the critical characteristic of the superconducting wire selected by the coil system;
  • the spacing between adjacent spiral lines in the turns system is greater than the preset spacing;
  • the size and positional parameters of each solenoid line ⁇ place the coil system within the spatial extent of the system in which the coil is to be placed.
  • the limiting value of the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field may be: 5
  • the magnetic field strength value at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss;
  • the superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength, which may be: 5
  • the axial direction at each target point on the surface of the ellipsoid of the Gaussian stray field The superposed magnetic field strength of the magnetic field and the radial magnetic field is not more than 5 Gauss.
  • the second calculating unit 304 can also be used to calculate the current safety margin of the coil system operation according to the highest magnetic field strength value in the preset coil system and the critical characteristic of the superconducting wire selected by the coil system. degree.
  • the embodiment of the present invention further provides an MRI superconducting magnet system, and the structural parameters of the MRI superconducting magnet system can be obtained by the method for acquiring structural parameters of any of the MRI superconducting magnet systems of the present invention.

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Abstract

A magnetic resonance imaging superconducting magnet system and a method and device for acquiring structural parameters thereof. The method includes: performing continuous grid division on a spatial range where a coil system is to be disposed, regarding each grid obtained by the division as a current circle, and uniformly dividing a DSV surface of a superconducting magnet system and an ellipsoidal surface of a 5 Gauss stray field into a plurality of target points; by means of a linear programming algorithm, calculating the current distribution at the site of each grid, which makes the volume of the coil system minimum, so as to obtain a current distribution pattern; and taking the number and spatial positions of non-zero current values in the current distribution pattern as the number and initial positions of solenoid coils in the coil system respectively, and by means of a nonlinear optimization algorithm, calculating the size and position parameter of each solenoid coil when the coil system volume is minimum, so as to acquire the final structural parameters of the coil system. The method and device can improve the acquisition efficiency of the structural parameters of an MRI superconducting magnet system, and make a coil structure in the MRI superconducting magnet system relatively small.

Description

磁共振成像超导磁体系统及其结构参数的获取方法与装置 技术领域  Magnetic resonance imaging superconducting magnet system and method and device for acquiring structural parameters thereof
本发明磁共振成像技术, 尤其涉及一种磁共振成像超导磁体系统及 其结构参数的获取方法与装置。 背景技术  The magnetic resonance imaging technology of the present invention especially relates to a magnetic resonance imaging superconducting magnet system and a method and a device for acquiring the structural parameters thereof. Background technique
磁共振成像 ( Magnetic Resonance Imaging, MRI )是才艮据生物体磁 性核, 例如氢原子, 在磁场中的表现特性成像的高新技术, 其具有无电 磁辐射、 图像对比度高以及可以任意方向断层成像等优点, 使得其跻身 于医学影像设备之首。  Magnetic Resonance Imaging (MRI) is a high-tech image based on the magnetic properties of biological magnetic nuclei, such as hydrogen atoms, in magnetic fields. It has no electromagnetic radiation, high image contrast, and can be imaged in any direction. The advantages make it the first in medical imaging equipment.
1946 年斯坦福大学的弗莱利克斯.布洛赫 (Flelix Bloch )和哈佛大 学的爱德华.珀塞尔 (Edward Purcell )各自独立发现了核磁共振现象。 在恒定磁场中的具有自旋的原子核受射频幅射照射, 当射频频率等于原 子核在恒定磁场中的进动频率时产生的共振吸收现象。 美国人雷蒙.达 曼迪安(Raymond Damadian ) 于 1972年 3月 17 日提出了专利申请, 并在 1974年 2月 5 日获得了美国第 3789832号专利, 将核磁共振用于 医学临床检测, 发明了磁共振成像技术。 它利用核磁共振激发所选择的 人体组织原子核处于高能状态, 当高频电磁场去除后, 其返回平衡状态 时就会产生射频脉冲信号, 用探测器检测这些信号, 并将其输入计算 机, 经过处理转换, 在屏幕上显示重建图像。 他的巨大贡献为今天磁共 振成像的迅速发展奠定了 ^出。 In 1946, Flelix Bloch of Stanford University and Edward Purcell of Harvard University independently discovered nuclear magnetic resonance. A spin-having nucleus in a constant magnetic field is irradiated with radio frequency radiation, and a resonance absorption phenomenon occurs when the radio frequency is equal to the precession frequency of the atomic nucleus in a constant magnetic field. American Raymond Damadian filed a patent application on March 17, 1972, and obtained US Patent No. 3,788,732 on February 5, 1974, using NMR for medical clinical testing. A magnetic resonance imaging technique was invented. It uses nuclear magnetic resonance to excite the selected human tissue nucleus in a high-energy state. When the high-frequency electromagnetic field is removed, it will generate a radio frequency pulse signal when it returns to the equilibrium state. These signals are detected by the detector and input into the computer for processing. , the reconstructed image is displayed on the screen. His great contribution has laid the foundation for the rapid development of magnetic resonance imaging today.
RI 系统的核心部件主要包括磁体系统 (也称为: 超导磁体系 统)、 谱仪系统、 计算机系统以及图像显示系统。 其中的磁体系统(也 称为: MRI超导磁体系统)是 MRI 系统最重要、 造价最高的部件。 磁 体系统的作用是在一个通常是球形的成像区域产生一个高场强、 高均匀 度以及高稳定性的空间磁场分布, 使得处于磁场中人体内部的氢原子被 磁化, 再通过射频线圏产生射频信号, 使得氢原子发生共振吸引, 再停 止射频激发, 使得氢原子所被吸收的能量释放出来以被信号接收器件捕 捉, 最后通过图像处理后显示的成像过程, 所成图像分辨率和磁场强度 成正比关系。 The core components of the RI system mainly include magnet systems (also known as: superconducting magnet systems), spectrometer systems, computer systems, and image display systems. The magnet system (also known as the MRI superconducting magnet system) is the most important and costly component of an MRI system. The function of the magnet system is to produce a high field strength, high uniformity, and high stability spatial magnetic field distribution in a generally spherical imaging region, so that the hydrogen atoms inside the human body are magnetized in the magnetic field, and the RF is generated by the RF line. The signal causes the hydrogen atom to resonate and attract the RF excitation, so that the energy absorbed by the hydrogen atom is released to be captured by the signal receiving device. Capture, finally through the image processing after the image processing, the resulting image resolution is proportional to the magnetic field strength.
MRI技术经过 30多年发展, MRI超导磁体系统的设计技术有了较 大的发展, 由早期的被动屏蔽、 磁场低、 均匀度差和磁体系统长度过长 特征, 发展到现今的主动屏蔽、 磁场高、 均匀度高且磁体系统长度较短 特征, 这得益于超导技术和低温技术的迅猛发展。 MRI 超导磁体系统 设计的发展趋势朝着短腔、 高磁场、 自屏蔽的方向发展。  After more than 30 years of development of MRI technology, the design technology of MRI superconducting magnet system has been greatly developed. From the early passive shielding, low magnetic field, poor uniformity and long length of magnet system, it has developed into today's active shielding and magnetic field. High, uniformity and short magnet system length, thanks to the rapid development of superconducting technology and low temperature technology. The development trend of MRI superconducting magnet system development is toward short cavity, high magnetic field and self-shielding.
MRI磁体设计人员一直追求通过长度较短的磁体系统在一个较大 的球形成像区域(Diameter of Spherical Volume, DSV )产生高场强和 高均匀度的磁场分布。 磁场峰 Φ值均匀度 ( eak-to-peak homogeneity, Hpp ) 一般表征为高均匀度磁体系统的性能, 定义为磁场强度的最高值 和最低值之间的差值与 DSV 内磁场强度的平均值的比值, 即: Hpp=(Bmax-Bmin)/mean(B)xl06 , 单位为百万分之 ( parts per million, ppm ), 其中, Bmax表示 DSV 内磁场强度的最高值, 8„^表示 DSV 内 磁场强度的最低值, mean(B)表示 DSV内磁场强度的平均值, 磁场峰峰 值均匀度的取值越小, 磁场峰峰值均匀度越好。 对于 MRI 系统来说, 一般 DSV要求在直径为 40~50cm的成像球形区域产生磁场峰峰值均匀 度优于 lOppni的高均匀度磁场分布。 早期的 MRI系统, 其磁体系统达 两米多长, 病人在做磁共振检测普遍表现出紧张和担心, 临床上把这种 现象称之为幽闭症。 为了降低幽闭症这种现象, MRI 超导磁体系统设 计一直朝着如何使得磁体系统长度降低且不降低成像区域大小和磁场均 匀度的方向发展, 例如, 1989年一台 1.5T MRI系统, 磁体系统长度高 达 2.4m, 重量为 13t; 而 2009年, 同样是 1.5T MRI系统, 磁体系统长 度锐减至 1.37m, 重量为 3.2t。 然而磁体系统过短, 会带来其他一些问 题, 如均匀度难实现、 电磁应力较大以及由线圏结构紧凑所带来的建造 困难等问题, 因此 MRI超导磁体系统设计是对多个参数均衡考虑的过 程。 MRI magnet designers have sought to generate high field strength and high uniformity magnetic field distribution over a large Diameter of Spherical Volume (DSV) through a shorter length magnet system. The peak-to-peak homogeneity (Hpp) is generally characterized by the performance of a high-uniformity magnet system, defined as the difference between the highest and lowest values of the magnetic field strength and the average of the magnetic field strength within the DSV. The ratio, ie: Hpp = (B max - B min ) / mean (B) xl0 6 , in parts per million, ppm, where B max represents the highest value of the magnetic field strength within the DSV, 8 „^ indicates the lowest value of the magnetic field strength in the DSV, mean(B) represents the average value of the magnetic field strength in the DSV, and the smaller the value of the peak-to-peak uniformity of the magnetic field, the better the peak-to-peak uniformity of the magnetic field. For the MRI system, The DSV requires a high uniformity magnetic field distribution with a peak-to-peak uniformity of the magnetic field better than lOppni in an imaging spherical region with a diameter of 40 to 50 cm. In the early MRI system, the magnet system was more than two meters long, and the patient performed magnetic resonance detection. Out of tension and worry, this phenomenon is called claustrophoscopic clinically. In order to reduce the phenomenon of claustrophobia, MRI superconducting magnet system design has been moving toward how to reduce the length of the magnet system without reducing the size and magnetic of the imaging area. In the direction of uniformity, for example, in a 1.5T MRI system in 1989, the magnet system was up to 2.4m in length and weighed 13t. In 2009, the same 1.5T MRI system, the length of the magnet system was reduced to 1.37m, and the weight was 3.2t. However, if the magnet system is too short, it will bring other problems, such as difficulty in achieving uniformity, large electromagnetic stress, and difficult construction due to compact structure. Therefore, the MRI superconducting magnet system is designed. The process of balancing multiple parameters.
MRI 超导磁体系统的设计参数主要包括: ①欲布置线图的空间尺 寸; ②成像区域大小、 形状、 中心磁场强度和磁场峰峰值均匀度; ③屏 蔽技术和 5高斯杂散场范围; ④线图中磁场强度的最高值和电流安全裕 度。 这些参数成为决定 MRI超导磁体性能优劣的主要指标。 其中:The design parameters of the MRI superconducting magnet system mainly include: 1 the spatial size of the line pattern to be arranged; 2 the size, shape, central magnetic field strength and peak-to-peak uniformity of the magnetic field; 3 screens Masking technique and 5 Gaussian stray field range; the highest value of magnetic field strength and current safety margin in 4-line graph. These parameters become the main indicators determining the performance of MRI superconducting magnets. among them:
① 欲布置线圏的空间尺寸: 一般为具有矩形截面的空芯螺线管形 空间, 该空芯螺线管形空间的尺寸主要由空芯螺线管的内径 mi„、 外径 以及长度 限制。 其中, 空间的内径决定了磁体系统的最小内径, 决定了最终磁体系统的室温孔径大小和和病人诊断过程中的舒适程度; 空间的外径相应地决定了磁体系统的外径, 磁体系统外径的大小决定了 整个系统造价和占地空间; 而空间的长度则决定了磁体系统的最终长 度, 是降低幽闭症现象的决定因素。 1 Space size to be laid out: Generally, it is a hollow core solenoid space with a rectangular cross section. The size of the hollow core solenoid space is mainly determined by the inner diameter mi „, outer diameter and length of the hollow core solenoid. The inner diameter of the space determines the minimum inner diameter of the magnet system, determines the room temperature aperture of the final magnet system and the comfort level during the patient's diagnosis; the outer diameter of the space determines the outer diameter of the magnet system, outside the magnet system. The size of the path determines the overall system cost and floor space; and the length of the space determines the final length of the magnet system, which is the decisive factor in reducing the phenomenon of claustrophobia.
② 成像区域大小、 形状、 中心磁场强度和磁场峰峰值均勾度: 成 像区域一般为直径 40cm~50cm 的球形体, 可满足全身成像的需求; 中 心磁场强度决定了成像的分辨率, 1.5T和 3T为目前市场的主流产品, 磁场峰峰值均匀度一般要求优于 lOppm即可满足成像需求。  2 Imaging area size, shape, central magnetic field strength and peak-to-peak value of the magnetic field: The imaging area is generally a spherical body with a diameter of 40cm~50cm, which can meet the needs of whole body imaging; the central magnetic field strength determines the resolution of imaging, 1.5T and 3T is the mainstream product in the current market. The peak-to-peak uniformity of the magnetic field is generally better than lOppm to meet the imaging needs.
③ 屏蔽技术和 5 高斯杂散场范围: 屏蔽技术一般分为被动屏蔽和 主动屏蔽技术, 磁场屏蔽是为了屏蔽 MRI 产生的磁场对周围环境的影 响, 如磁化周围铁磁物质产生磁场耦合影响 MRI磁场均匀度、 对周围 电子产品的影响以及人体的心脏起搏器的干扰。 被动屏蔽技术即在 MR1 周围通过铁磁物质构成磁场回路, 将铁磁物质外的磁场控制在一 定的范围内, 这种技术使得 MRI 占地面积大、 安装不便且易受到温度 等环境因素影响的缺点, 但磁体结构较为筒单且磁体造价大幅降低, 早 期产品很多采取这种方式屏蔽磁场。 随着磁体设计技术的不断发展, 可 通过主动屏蔽技术在磁体系统的外层添加一对或者多对反向电流线圈以 达到屏蔽杂散场的作用, 这种设计使得磁体系统占地面积大幅降低, 但 线圏结构较被动屏蔽磁体系统复杂。 目前, 市场上的商业产品大部分均 采取主动屏蔽技术。 杂散场一般要求在一个椭球体外磁场强度小于 5高 斯 ( Gauss )。  3 Shielding technology and 5 Gaussian stray field range: Shielding technology is generally divided into passive shielding and active shielding technology. Magnetic shielding is used to shield the influence of the magnetic field generated by MRI on the surrounding environment. For example, the magnetic field coupling of ferromagnetic substances around the magnetization affects the MRI magnetic field uniformity. Degree, influence on surrounding electronic products and interference from the human heart pacemaker. Passive shielding technology is to form a magnetic field loop around the MR1 through a ferromagnetic material, and to control the magnetic field outside the ferromagnetic material within a certain range. This technology makes the MRI large-area, inconvenient to install and susceptible to environmental factors such as temperature. Disadvantages, but the structure of the magnet is relatively simple and the cost of the magnet is greatly reduced. Many early products shield the magnetic field in this way. With the continuous development of magnet design technology, one or more pairs of reverse current coils can be added to the outer layer of the magnet system by active shielding technology to shield the stray field. This design makes the magnet system footprint greatly reduced. However, the turns structure is more complicated than the passive shield magnet system. At present, most of the commercial products on the market adopt active shielding technology. Stray fields generally require a magnetic field strength of less than 5 Gauss in an ellipsoid.
④ 线圏中磁场强度的最高值和电流安全裕度: 线圈在通电状态 下, 在空间会产生磁场分布, 而通电线圈在磁场中则会产生电磁力的作 用, 磁场越大线圏受到的电磁力越大, 电磁力过大则会削弱超导线圏的 性能, 甚至破坏超导磁体。 因此, 为避免线圈所受电磁力过大, 通常限 制线圈中磁场强度的最高值小于 8T。 线圏的工作点, 包括线圏的运行 电流(lop )和线圏中磁场强度的最高值 (Bmax ), 结合所选用超导线的 临界特性, 计算出该工作点对应的临界点 (Ic,Bc ), 通过工作点的运行 电流(lop ) 与临界点的运行电流(Ic ) 的比值计算出磁体系统的电流 安全裕度, 通常情况下, 电流安全裕度需设置为小于 80%。 The highest value of the magnetic field strength and the current safety margin in the 4-wire :: When the coil is energized, a magnetic field distribution is generated in the space, and the energized coil generates an electromagnetic force in the magnetic field. The larger the magnetic field is the electromagnetic force received by the coil. The greater the force, the greater the electromagnetic force will weaken the superconducting wire Performance, even destroying superconducting magnets. Therefore, in order to avoid excessive electromagnetic force on the coil, the maximum value of the magnetic field strength in the coil is usually limited to less than 8T. The working point of the coil, including the running current (lop) of the coil and the highest value of the magnetic field strength (B max ) in the coil, combined with the critical characteristics of the selected superconducting wire, calculates the critical point corresponding to the working point (Ic, Bc), calculate the current safety margin of the magnet system by the ratio of the operating current (lop) at the operating point to the operating current (Ic) at the critical point. Normally, the current safety margin should be set to less than 80%.
MRI超导磁体系统设计的难点是在一个狭小空间设计出能够产生 高磁场和高均匀度的磁场分布。 而 MRI超导磁体系统的设计参数是彼 此矛盾的, 磁体长度越短, 成像区域均勾度越难实现且磁体结构越复 杂。 因此, 对于磁体系统设计人员需要均衡利弊, 选择适合的设计参 数, 设计出满足要求的 MRI超导磁体系统。 磁体系统的设计本质上是 电磁场问题的求解过程。 电磁场问题的求解可以分为两类, 一类为电磁 场的正问题, 即: 根据空间中的电流源分布计算出空间的电磁场分布情 况; 另一类为电磁场的逆问题, 即: 根据空间的所需的电磁场分布情 况, 求解出空间的电流源位置。  The difficulty in designing an MRI superconducting magnet system is to design a magnetic field distribution that produces a high magnetic field and high uniformity in a small space. The design parameters of the MRI superconducting magnet system are contradictory to each other. The shorter the length of the magnet, the more difficult it is to achieve the image area and the more complex the magnet structure. Therefore, for the magnet system designer to balance the advantages and disadvantages, select the appropriate design parameters, and design the MRI superconducting magnet system to meet the requirements. The design of the magnet system is essentially a solution to the electromagnetic field problem. The solution of the electromagnetic field problem can be divided into two categories, one is the positive problem of the electromagnetic field, that is: the electromagnetic field distribution of the space is calculated according to the current source distribution in the space; the other is the inverse problem of the electromagnetic field, ie: according to the space The required electromagnetic field distribution is used to solve the current source position of the space.
早期, 磁体系统设计人员利用电磁场正问题的求解方法, 通过螺线 管线圈所产生的磁场分布特征, 在空间中拼凑多个线圏来提高磁体系统 所产生的磁场均匀度, 其工作量大 U艮难满足要求。 随着计算机技术的 计算能力迅速提高, 设计人员不断通过多种数值优化算法, 例如, 蒙特 卡罗、 模拟退火算法、 遗传算法等, 用以求解电磁场逆问题, 其中的数 值优化算法可分为全局优化算法和局部优化算法。 全局优化算法可以在 整个空间求解全局最优解, 但由于计算速度较慢, 磁体设计人员难以及 时有效地修改程序, 使得磁体设计效率较低。 局部优化算法可以根据参 数的初始值优化计算出线圈各参数, 然而初始值的选取对能否求解出全 局最优解起到决定作用。 多年来, 磁体系统设计人员一直尝试如何求解 出合理的初始值并结合局部优化算法来设计更加合理的磁体系统, 使磁 体系统的整个设计过程具有较高的计算效率且可实现全局最优解。  In the early days, magnet system designers used the method of solving the positive problem of electromagnetic field, and through the distribution characteristics of the magnetic field generated by the solenoid coil, patching multiple turns in space to improve the uniformity of the magnetic field generated by the magnet system, the workload is large. It is difficult to meet the requirements. With the rapid improvement of the computing power of computer technology, designers continue to solve the electromagnetic field inverse problem through a variety of numerical optimization algorithms, such as Monte Carlo, simulated annealing algorithm, genetic algorithm, etc. The numerical optimization algorithm can be divided into global Optimization algorithm and local optimization algorithm. The global optimization algorithm can solve the global optimal solution in the whole space, but due to the slow calculation speed, it is difficult for the magnet designer to modify the program effectively and effectively, so that the magnet design efficiency is low. The local optimization algorithm can optimize the parameters of the coil according to the initial values of the parameters. However, the selection of the initial values determines whether the global optimal solution can be solved. For many years, magnet system designers have been trying to solve a reasonable initial value and combine a local optimization algorithm to design a more reasonable magnet system, so that the entire design process of the magnet system has higher computational efficiency and can achieve a global optimal solution.
2001年, Huawei Zhao博士提出一种多层电流密度的设计方法, 用 以设计紧凑型 M I磁体系统。 他提出在欲布置线圏的空间划分成多层 结构, 在每层上划分出若干个源点, 每个源点代表一个理想电流圓环, 通过正则化数值方法求解出满足磁体系统要求的所有源点位置处的电流 分布曲线, 并将电流分布曲线的峰值位置作为螺管线圏的初始位置, 再 结合非线性优化算法, 最终求解出满足系统设计要求的磁体系统。 该设 计方法可以通过分层的方法得到线圏位置的初始值, 再通过局部优化算 法设计出满足要求的磁体系统。 然而, 该多层电流密度的设计至少存在 以下问题: 分层位置选择存在盲目性, 使得线图结构难以确保为全局最 优解; 一个磁体系统的设计方案需运行 4〜10小时, 设计效率较低。 In 2001, Dr. Huawei Zhao proposed a multilayer current density design method for designing a compact MI magnet system. He proposed dividing the space in the line to be divided into multiple layers. Structure, each source layer is divided into several source points, each source point represents an ideal current ring, and the current distribution curve at all source point positions satisfying the requirements of the magnet system is solved by the regularization numerical method, and the current distribution is obtained. The peak position of the curve is used as the initial position of the spiral pipeline, and combined with the nonlinear optimization algorithm, the magnet system that meets the system design requirements is finally solved. The design method can obtain the initial value of the position of the coil by a layered method, and then design a magnetic system that meets the requirements by a local optimization algorithm. However, the design of the multilayer current density has at least the following problems: The stratified position selection has blindness, making it difficult to ensure that the line graph structure is a global optimal solution; a magnet system design scheme needs to run for 4 to 10 hours, and the design efficiency is relatively high. low.
2009年, Quang M. Tien 博士提出一种基于磁体系统储能最小的 全局最优设计方法。 首先, 在欲布置空间进行网格划分, 每个网格代表 一螺线管线圏, 计算在满足磁体系统要求且磁体系统储能最小情况下, 所有网格中的电流分布图; 同样在电流分布的峰值位置处, 合理布置螺 线管线圈初始位置, 结合序列二次规划算法求解出满足要求的磁体系 统。 该设计方法为在整个欲布置线圏空间得到了全局最优的初始值, 线 圈结构更加合理。 然而, 该基于磁体系统储能最小的全局最优设计方法 至少存在以下问题: 在通过储能最小方法计算出的电流分布图中网格电 流为连续变化曲面, 难以界定每个螺线管线圏的初始位置, 难以实现最 优化设计。 发明内容  In 2009, Dr. Quang M. Tien proposed a global optimal design method based on the minimum energy storage of magnet systems. First, in the space where the space is to be arranged, each grid represents a spiral line 圏, and the current distribution map in all the grids is calculated under the condition that the magnet system requirements are met and the magnet system has the minimum energy storage; also in the current distribution At the peak position, the initial position of the solenoid coil is reasonably arranged, and the sequence quadratic programming algorithm is combined to solve the magnet system that meets the requirements. The design method is that the global optimum initial value is obtained in the entire layout space, and the coil structure is more reasonable. However, the global optimal design method based on the minimum energy storage of the magnet system has at least the following problems: In the current distribution map calculated by the minimum energy storage method, the grid current is a continuously changing curved surface, and it is difficult to define each spiral pipeline. In the initial position, it is difficult to achieve an optimal design. Summary of the invention
本发明实施例所要解决的其中一个技术问题是, 提供一种磁共振成 像超导磁体系统及其结构参数的获取方法与装置, 以提高 MRI 超导磁 体系统结构参数的获取效率, 并且使得基于该结构参数制造出的 MRI 超导磁体系统中的线圈结构较小, 从而使得基于该结构参数制造出的 MRI超导磁体系统具有较高的性能。  One of the technical problems to be solved by the embodiments of the present invention is to provide a magnetic resonance imaging superconducting magnet system and a method and device for acquiring the structural parameters thereof, so as to improve the acquisition efficiency of the structural parameters of the MRI superconducting magnet system, and The coil structure in the MRI superconducting magnet system manufactured by the structural parameters is small, so that the MRI superconducting magnet system manufactured based on the structural parameters has higher performance.
为解决上述技术问题, 本发明实施例提供的一种磁共振成像超导磁 体系统结构参数的获取方法, 包括:  In order to solve the above technical problem, a method for acquiring structural parameters of a magnetic resonance imaging superconducting magnet system according to an embodiment of the present invention includes:
对欲布置线图系统的空间范围进行连续网格划分, 划分得到的每个 网格视为一个电流圓环, 各电流圆环的电流值包括正值、 负值或者零; 以及按照预设标准将超导磁体系统的球形成像区域表面和 5高斯杂散场 的椭球体表面均匀划分为若干个目标点; Continuously meshing the spatial extent of the system to be arranged, each grid obtained by the division is regarded as a current ring, and the current value of each current ring includes a positive value, a negative value or zero; And uniformly dividing the surface of the spherical imaging region of the superconducting magnet system and the surface of the ellipsoid of the 5 Gaussian stray field into a plurality of target points according to a preset standard;
以球形成像区域表面上各目标点处的磁场 +值均匀度不大于第一 预设磁场峰峰值均匀度、 5 高斯杂散场的椭球体表面上各目标点处的磁 场强度值的限制条件为第一约束奈件, 通过线性规划算法计算在给定运 行电流密度条件下使得线圏系统体积最小的各网格处的电流分布, 得到 电流分布图; 所述第一预设磁场 值均匀度大于或等于超导磁体系统 设计要求中的第二预设磁场 值均匀度;  The magnetic field + value uniformity at each target point on the surface of the spherical imaging region is not greater than the first predetermined magnetic field peak-to-peak uniformity, and the limiting condition of the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field is a constrained component, calculating a current distribution at each of the meshes that minimizes the volume of the coil system under a given operating current density condition by a linear programming algorithm, and obtaining a current distribution map; the first predetermined magnetic field value uniformity is greater than or Equal to the second preset magnetic field value uniformity in the design requirements of the superconducting magnet system;
分别以电流分布图中不为零的电流值的数目和空间位置, 作为线圈 系统中螺线管线图的数量和初始位置;  The number and spatial position of the non-zero current values in the current distribution diagram are respectively taken as the number and initial position of the spiral pipeline diagram in the coil system;
以超导磁体系统设计要求中的第二预设磁场峰峰值均匀度限制条 件、 5 高斯杂散场的椭球体表面上各目标点处的磁场强度值限制奈件、 线圈系统中的最高磁场强度值限制条件、 线圏系统运行的电流安全裕度 限制奈件为第二约束条件, 通过非线性优化算法计算线圈系统体积最小 时各螺线管线圈的尺寸和位置参数, 获得线圈系统的最终结构参数; 其 中, 各螺线管线圈的尺寸和位置参数包括各螺线管线圏的内半径、 外半 径、 与两个端部的轴向位置。  The second preset magnetic field peak-to-peak uniformity limit condition in the design requirements of the superconducting magnet system, and the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field limit the maximum magnetic field strength value in the coil system The limiting condition and the current safety margin limit of the operation of the coil system are the second constraint condition. The nonlinear optimization algorithm is used to calculate the size and position parameters of each solenoid coil when the volume of the coil system is the smallest, and the final structural parameters of the coil system are obtained. Wherein, the size and positional parameters of each solenoid coil include an inner radius, an outer radius, and an axial position of each end of each spiral line.
根据一个实施例, 所述欲布置线圈系统的空间范围具体为一个具有 矩形截面的螺线管形状的区域, 该区域的范围由矩形截面的参数决定, 所述矩形截面的参数包括矩形截面的内径、 外径以及长度;  According to an embodiment, the spatial extent of the coil system to be arranged is specifically a solenoid-shaped region having a rectangular cross-section, the extent of the region being determined by parameters of a rectangular cross-section, the parameters of the rectangular cross-section including the inner diameter of the rectangular cross-section , outer diameter and length;
对欲布置线圈系统的空间范围进行连续网格划分包括: 对所述矩形 截面分别在径向和轴向进行连续网格划分。  Continuous meshing of the spatial extent of the coil system to be arranged includes: successively meshing the radial cross sections in the radial and axial directions, respectively.
根据一个实施例, 对所述矩形截面分别在径向和轴向进行连续网格 划分包括: 对所述矩形截面分别在径向和轴向进行二维连续网格划分, 将所述矩形截面沿着径向和轴向方向分别划分为若干等份, 形成二维连 续空间网格。  According to an embodiment, the continuous meshing of the rectangular cross section in the radial direction and the axial direction respectively comprises: performing a two-dimensional continuous mesh division on the rectangular cross section in the radial direction and the axial direction, respectively The radial and axial directions are divided into several equal parts to form a two-dimensional continuous space grid.
根据一个实施例, 所述电流分布图给出了各网格处的电流大小和方 向, 网格处不为零的电流值聚集在一起形成边界清晰的非零电流簇。  According to one embodiment, the current profile gives the magnitude and direction of the current at each grid, and non-zero current values at the grid are brought together to form a clear boundary non-zero current cluster.
根据一个实施例, 根据非零电流簇在空间范围内的分布情况, 分别 将一个正向电流螺线管线图布置于非零电流簇的每个正值位置, 分别将 一个反向电流螺线管线图布置于非零电流簇的每个负值位置。 According to an embodiment, according to the distribution of non-zero current clusters in the spatial range, respectively A forward current spiral pipeline map is placed at each positive position of the non-zero current cluster, and a reverse current spiral pipeline map is respectively placed at each negative position of the non-zero current cluster.
根据一个实施例, 5 高斯杂散场的椭球体表面上各目标点处的磁场 强度值的限制条件包括: 5 高斯杂散场的椭球体表面上各目标点处的磁 场强度值不大于 5高斯。  According to one embodiment, the limiting conditions of the magnetic field strength values at the respective target points on the surface of the ellipsoid of the 5 Gaussian stray field include: 5 The magnetic field strength value at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss.
根据一个实施例, 第二约束条件包括:  According to an embodiment, the second constraint comprises:
球形成像区域表面上各目标点处的轴向磁场的磁场峰峰值均匀度不 大于第二预设磁场峰峰值均匀度;  The peak-to-peak uniformity of the magnetic field of the axial magnetic field at each target point on the surface of the spherical imaging region is not greater than the peak-to-peak uniformity of the second predetermined magnetic field;
5 高斯杂散场的椭球体表面上各目标点处的轴向磁场和径向磁场的 叠加磁场强度不大于预设磁场强度;  5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength;
线圏系统运行的电流安全裕度不大于预设电流安全裕度, 所述预设 电流安全裕度由线圈系统中的最高磁场强度值与线圏系统所选用的超导 线的临界特性计算得到;  The current safety margin of the coil system operation is not greater than a preset current safety margin calculated from a highest magnetic field strength value in the coil system and a critical characteristic of the superconducting wire selected by the coil system;
线圏系统中相邻螺线管线圈之间的间距大于预设间距;  The spacing between adjacent solenoid coils in the turns system is greater than the preset spacing;
各螺线管线圏的尺寸和位置参数使线图系统位于所述欲布置线圏系 统的空间范围内。  The size and positional parameters of each of the solenoid lines 使 cause the line drawing system to be within the spatial extent of the line system to be placed.
才 据一个实施例, 5 高斯杂散场的椭球体表面上各目标点处的轴向 磁场和径向磁场的叠加磁场强度不大于预设磁场强度包括:  According to one embodiment, the superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the 5 Gaussian stray field is not greater than the preset magnetic field strength including:
5 高斯杂散场的椭球体表面上各目标点处的轴向磁场和径向磁场的 叠加磁场强度不大于 5高斯。  5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss.
才艮据一个实施例, 还包括:  According to an embodiment, the method further includes:
根椐预先设定的线圈系统中的最高磁场强度值与线圏系统所选用的 超导线的临界特性, 获取线圏系统运行的电流安全裕度。  The current safety margin of the coil system operation is obtained by the maximum magnetic field strength value in the preset coil system and the critical characteristics of the superconducting wire selected by the coil system.
本发明实施例提供的一种磁共振成像超导磁体系统结构参数的获取 装置, 包括:  An apparatus for acquiring structural parameters of a magnetic resonance imaging superconducting magnet system according to an embodiment of the present invention includes:
接收单元, 用于接收欲布置线圈系统的空间范围信息、 第一预设磁 场峰峰值均匀度、 5 高斯杂散场的椭球体表面上各目标点处的磁场强度 值的限制条件、 运行电流密度条件、 超导磁体系统设计要求中的第二预 设磁场峰峰值均匀度限制条件、 5 高斯杂散场的椭球体表面上各目标点 处的磁场强度值限制条件、 线圏系统中的最高磁场强度值限制奈件、 线 圏系统运行的电流安全裕度限制条件; 所述第一预设磁场峰峰值均匀度 大于或等于所述第二预设磁场峰峰值均匀度; a receiving unit, configured to receive spatial range information of the coil system to be arranged, a first predetermined magnetic field peak-to-peak uniformity, a limit condition of a magnetic field strength value at each target point on an ellipsoid surface of a 5 Gaussian stray field, and a running current density condition , the second preset magnetic field peak-to-peak uniformity limit condition in the design requirements of the superconducting magnet system, and the target points on the surface of the ellipsoid of the 5 Gaussian stray field The magnetic field strength value limitation condition at the position, the highest magnetic field strength value limit in the coil system, and the current safety margin limit condition of the operation of the coil system; the first predetermined magnetic field peak-to-peak uniformity is greater than or equal to the first Two preset magnetic field peak-to-peak uniformity;
划分单元, 用于对欲布置线图系统的空间范围进行连续网格划分, 划分得到的每个网格视为一个电流圆环, 各电流圆环的电流值包括正 值、 负值或者零; 以及按照预设标准将超导磁体系统的球形成像区域表 面和 5高斯杂散场的椭球体表面均匀划分为若干个目标点;  a dividing unit, configured to perform continuous meshing on a spatial range of the line graph system to be arranged, each divided grid is regarded as a current ring, and the current value of each current ring includes a positive value, a negative value or zero; And uniformly dividing the surface of the spherical imaging region of the superconducting magnet system and the surface of the ellipsoid of the 5 Gaussian stray field into a plurality of target points according to a preset standard;
第一计算单元, 用于以球形成像区域表面上各目标点处的磁场峰峰 值均匀度不大于第一预设磁场峰峰值均匀度、 5 高斯杂散场的椭球体表 面上各目标点处的磁场强度值的限制条件为第一约束奈件, 通过线性规 划算法计算在给定运行电流密度条件下使得线圏系统体积最小的各网格 处的电流分布, 得到电流分布图;  a first calculating unit, configured to: the magnetic field peak-to-peak uniformity at each target point on the surface of the spherical imaging region is not greater than the first predetermined magnetic field peak-to-peak uniformity, and the magnetic field at each target point on the surface of the ellipsoid of the 5 Gaussian stray field The limiting condition of the intensity value is a first constraint component, and a current distribution map is obtained by a linear programming algorithm for calculating a current distribution at each grid at a given operating current density condition to minimize the volume of the coil system;
第二计算单元, 用于分别以电流分布图中不为零的电流值的数目和 空间位置, 作为线圏系统中螺线管线圏的数量和初始位置; 以第二预设 磁场峰峰值均匀度限制条件、 5 高斯杂散场的椭球体表面上各目标点处 的磁场强度值限制条件、 线圈系统中的最高磁场强度值限制条件、 线圏 系统运行的电流安全裕度限制奈件为第二约束奈件, 通过非线性优化算 法计算线圈系统体积最小时各螺线管线圈的尺寸和位置参数, 获得线图 系统的最终结构参数; 其中, 各螺线管线圏的尺寸和位置参数包括各螺 线管线圏的内半径、 外半径、 与两个端部的轴向位置。  a second calculating unit, configured to respectively use the number and spatial position of the non-zero current values in the current distribution map as the number and initial position of the solenoid line 圏 in the coil system; and the second predetermined magnetic field peak-to-peak uniformity Restricted condition, magnetic field strength value limit at each target point on the surface of the ellipsoid of the 5 Gaussian stray field, maximum magnetic field strength value limit condition in the coil system, current safety margin limit of the operation of the coil system is the second constraint In the piece, the size and position parameters of each solenoid coil are calculated by a nonlinear optimization algorithm to obtain the final structural parameters of the coil system; wherein the size and position parameters of each spiral line include each spiral The inner radius, outer radius, and axial position of the two ends of the line.
才艮据一个实施例, 所述欲布置线圈系统的空间范围具体为一个具有 矩形截面的螺线管形状的区域, 该区域的范围由矩形截面的参数决定, 所述矩形截面的参数包括矩形截面的内径、 外径以及长度;  According to an embodiment, the spatial extent of the coil system to be arranged is specifically a solenoid-shaped region having a rectangular cross section, the range of the region being determined by parameters of a rectangular cross section, and the parameters of the rectangular cross section include a rectangular cross section. Inner diameter, outer diameter and length;
所述划分单元对欲布置线圈系统的空间范围进行连续网格划分时, 具体对所述矩形截面分别在径向和轴向进行二维连续网格划分, 将所述 矩形截面沿着径向和轴向方向分别划分为若干等份, 形成二维连续空间 网格。  When the dividing unit performs continuous meshing on the spatial extent of the coil system to be arranged, specifically, the rectangular cross section is divided into two dimensions in the radial direction and the axial direction, respectively, and the rectangular cross section is along the radial direction. The axial directions are divided into several equal parts to form a two-dimensional continuous space grid.
才艮据一个实施例, 所述电流分布图给出了各网格处的电流大小和方 向, 网格处不为零的电流值聚集在一起形成边界清晰的非零电流簇; 非零电流簇的每个正值位置分别用于布置一个正向电流螺线管线 圏, 每个负值位置分别用于布置一个反向电流螺线管线圏。 According to an embodiment, the current distribution diagram gives the magnitude and direction of the current at each grid, and the non-zero current values at the grid are gathered together to form a clear-cut non-zero current cluster; Each positive position of the non-zero current cluster is used to arrange a forward current solenoid line 分别, and each negative value position is used to arrange a reverse current solenoid line 分别, respectively.
根椐一个实施例, 第二约束条件包括:  According to an embodiment, the second constraint comprises:
球形成像区域表面上各目标点处的轴向磁场的磁场峰峰值均匀度不 大于第二预设磁场 值均匀度;  The peak-to-peak uniformity of the magnetic field of the axial magnetic field at each target point on the surface of the spherical imaging region is not greater than the uniformity of the second predetermined magnetic field value;
5 高斯杂散场的椭球体表面上各目标点处的轴向磁场和径向磁场的 叠加磁场强度不大于预设磁场强度;  5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength;
线圏系统运行的电流安全裕度不大于预设电流安全裕度, 所述预设 电流安全裕度由线围系统中的最高磁场强度值与线圏系统所选用的超导 线的临界特性计算得到;  The current safety margin of the coil system operation is not greater than a preset current safety margin calculated from the highest magnetic field strength value in the line surrounding system and the critical characteristic of the superconducting wire selected by the coil system. ;
线圈系统中相邻螺线管线圏之间的间距大于预设间距;  The spacing between adjacent spiral conduits in the coil system is greater than a predetermined spacing;
各螺线管线圏的尺寸和位置参数使线圈系统位于所述欲布置线圈系 统的空间范围内。  The size and positional parameters of each solenoid line 使 cause the coil system to be within the spatial extent of the coil system to be placed.
根据一个实施例, 5 高斯杂散场的椭球体表面上各目标点处的磁场 强度值的限制奈件包括: 5 高斯杂散场的椭球体表面上各目标点处的磁 场强度值不大于 5高斯;  According to an embodiment, the limitation of the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field comprises: 5 The magnetic field strength value at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss;
5 高斯杂散场的椭球体表面上各目标点处的轴向磁场和径向磁场的 叠加磁场强度不大于预设磁场强度包括: 5 高斯杂散场的椭球体表面上 各目标点处的轴向磁场和径向磁场的叠加磁场强度不大于 5高斯。  5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength including: 5 The axial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field The superimposed magnetic field strength with the radial magnetic field is not more than 5 Gauss.
根据一个实施例, 第二计算单元还用于根据预先设定的线團系统中 的最高磁场强度值与线圈系统所选用的超导线的临界特性, 获取线團系 统运行的电流安全裕度。  According to an embodiment, the second calculating unit is further configured to obtain a current safety margin of the coil system operation according to a highest magnetic field strength value in the preset coil system and a critical characteristic of the superconducting wire selected by the coil system.
本发明实施例提供的一种磁共振成像超导磁体系统, 所述磁共振成 系统结构参数的获取方法获取。  A magnetic resonance imaging superconducting magnet system provided by an embodiment of the present invention is obtained by acquiring a structural parameter of the magnetic resonance system.
本发明实施例 MRI超导磁体系统结构参数的获取方法与装置, 以 DSV表面上各目标点处的磁场峰峰值均匀度不大于第一预设磁场峰峰值 均匀度、 5 高斯杂散场的椭球体表面上各目标点处的磁场强度值的限制 条件为第一约束奈件, 通过线性规划算法计算在给定运行电流密度条件 下使得线圈系统体积最小的各网格处的电流分布, 得到电流分布图, 然 后分别以电流分布图中不为零的电流值的数目和空间位置, 作为线圈系 统中螺线管线圏的数量和初始位置, 以超导磁体系统设计要求中为第二 约束条件, 通过非线性优化算法计算线圏系统体积最小时各螺线管线图 的尺寸和位置参数, 获得线圈系统的最终结构参数。 The method and device for acquiring structural parameters of the MRI superconducting magnet system according to the embodiment of the present invention, wherein the peak-to-peak uniformity of the magnetic field at each target point on the surface of the DSV is not greater than the first predetermined magnetic field peak-to-peak uniformity, and the ellipsoid of the 5 Gaussian stray field The constraint condition of the magnetic field strength value at each target point on the surface is the first constraint condition, and the condition of the given operating current density is calculated by the linear programming algorithm. The current distribution at each grid that minimizes the volume of the coil system is obtained, and the current distribution map is obtained, and then the number and spatial position of the non-zero current values in the current distribution map are respectively taken as the number of spiral pipeline turns in the coil system. The initial position is the second constraint condition in the design requirements of the superconducting magnet system. The nonlinear structure optimization parameter is used to calculate the size and position parameters of each spiral pipeline diagram when the volume of the coil system is the smallest, and the final structural parameters of the coil system are obtained.
由于本发明实施例中采用线性规划算法和非线性优化算法相结合的 混合设计方法, 通过效率较高的线性规划算法获取线圈系统中螺线管线 圏的数量和初始位置, 再结合非线性优化算法获取线圏系统的最终结构 参数, 例如线圏系统中包括的线圈数量、 每个螺线管线圏的位置和尺寸 参数, 从而提高了 MRI超导磁体系统结构参数的获取效率; 并且, 采 用本发明上述实施例获取到的结构参数的 MRI超导磁体系统中的线圏 结构较小, 所需的超导线用量最少, 具有线圏结构简单紧凑、 造价低等 优点, 易于建造和安装, 从而使得基于该结构参数制造出的 MRI超导 磁体系统具有较高的性能, 克服了现有 MRI超导磁体系统在电磁设计 上效率较低且难以实现最优化设计的问题。 另外, 电流安全裕度限制奈 件为整个 MRI超导磁体系统的稳定运行提供了有力保障。  Because the hybrid design method combining the linear programming algorithm and the nonlinear optimization algorithm is adopted in the embodiment of the present invention, the number and initial position of the spiral pipeline 线圈 in the coil system are obtained by the linear programming algorithm with higher efficiency, and the nonlinear optimization algorithm is combined. Obtaining the final structural parameters of the coil system, such as the number of coils included in the coil system, the position and size parameters of each spiral line, thereby improving the acquisition efficiency of the structural parameters of the MRI superconducting magnet system; The MRI superconducting magnet system with the structural parameters obtained in the above embodiment has a smaller wire loop structure, requires the least amount of superconducting wire, has the advantages of simple and compact wire loop structure, low cost, and is easy to construct and install, thereby making it based on The MRI superconducting magnet system manufactured by the structural parameters has high performance, and overcomes the problem that the existing MRI superconducting magnet system is inefficient in electromagnetic design and difficult to realize optimal design. In addition, the current safety margin limit provides a robust guarantee for the stable operation of the entire MRI superconducting magnet system.
通过以下参照附图对本发明的示例性实施例的详细描述, 本发明的 其它特征及其优点将会变得清楚。 附图说明  Further features of the present invention and its advantages will become apparent from the Detailed Description of the Drawing. DRAWINGS
构成说明书的一部分的附图描述了本发明的实施例, 并且连同描述 一起用于解释本发明的原理。  The drawings which form a part of the specification are intended to illustrate the embodiments of the invention
参照附图, 根据下面的详细描述, 可以更加清楚地理解本发明, 其 中:  The invention can be more clearly understood from the following detailed description, in which:
图 1 为根据本发明一个实施例的 MRI超导磁体系统结构参数的获 取方法的示意性流程图;  1 is a schematic flow chart of a method for obtaining structural parameters of an MRI superconducting magnet system according to an embodiment of the present invention;
图 2为根据本发明另一个实施例的 MRI超导磁体系统结构参数的 获取方法的示意性流程图;  2 is a schematic flow chart of a method for acquiring structural parameters of an MRI superconducting magnet system according to another embodiment of the present invention;
图 3为根据本发明一个应用实施例 MRI超导磁体系统结构参数的 获取方法的示意性流程图; 3 is a structural parameter of an MRI superconducting magnet system according to an application embodiment of the present invention. Schematic flow chart of the acquisition method;
图 4为图 3所示应用实施例中欲布置线圏的空间范围、 DSV区域和 5高斯杂散场区域的示意图;  4 is a schematic diagram of a spatial extent, a DSV region, and a 5 Gaussian stray field region in which the turns are arranged in the application embodiment shown in FIG. 3;
图 5 为图 3 所示应用实施例中通过线性规划算法得到的电流分布 图;  FIG. 5 is a current distribution diagram obtained by a linear programming algorithm in the application embodiment shown in FIG. 3;
图 6为图 3所示应用实施例中得到的 DSV表面上目标点处的轴向 磁场的磁场 « 值均匀度分布图;  6 is a magnetic field «value uniformity distribution diagram of an axial magnetic field at a target point on the surface of the DSV obtained in the application example shown in FIG. 3;
图 7为图 3所示应用实施例中得到的 5高斯杂散场的椭球体表面上 各目标点处的磁场强度分布图;  7 is a magnetic field intensity distribution map at each target point on the surface of an ellipsoid of a 5 Gaussian stray field obtained in the application example shown in FIG. 3;
图 8为图 3所示应用实施例中非零电流簇离散成螺线管线圏的初始 位置和尺寸参数示意图;  8 is a schematic diagram of initial position and size parameters of a non-zero current cluster discrete into a spiral line 圏 in the application embodiment shown in FIG. 3;
图 9为图 3所示应用实施例中通过非线性优化算法优化得到的线圏 系统的最终结构参数示意图;  9 is a schematic diagram of final structural parameters of a line 圏 system optimized by a nonlinear optimization algorithm in the application embodiment shown in FIG. 3;
图 10 为图 3 所示应用实施例中通过非线性优化算法优化得到的 DSV表面的磁场均匀度分布图;  10 is a magnetic field uniformity distribution diagram of a DSV surface optimized by a nonlinear optimization algorithm in the application embodiment shown in FIG. 3;
图 11为图 3所示应用实施例中通过非线性优化算法得到的 5 高斯 杂散场的椭球体表面上各目标点处的磁场强度分布图;  11 is a magnetic field intensity distribution diagram at each target point on the surface of an ellipsoid of a 5 Gaussian stray field obtained by a nonlinear optimization algorithm in the application embodiment shown in FIG. 3;
图 12为图 3所示应用实施例中 MRI超导磁体系统的电流安全裕度 图;  Figure 12 is a current safety margin diagram of the MRI superconducting magnet system in the application embodiment shown in Figure 3;
图 13为图 3 所示应用实施例中线圏系统在空间中产生的磁场强度 分布图;  Figure 13 is a diagram showing the distribution of magnetic field strength generated by the coil system in space in the application embodiment shown in Figure 3;
图 14为图 3 所示应用实施例中线圈系统中位于内层一个端部的螺 线管线圏中的磁场强度分布图;  Figure 14 is a magnetic field intensity distribution diagram of a solenoid enthalpy in one end of the inner layer in the coil system of the application embodiment shown in Figure 3;
图 15为根据本发明一个实施例 MRI超导磁体系统结构参数的获取 装置的示意性框图。 具体实施方式  Figure 15 is a schematic block diagram of an apparatus for acquiring structural parameters of an MRI superconducting magnet system according to an embodiment of the present invention. detailed description
现在将参照附图来详细描述本发明的各种示例性实施例。 应注意 到: 除非另外具体说明, 否则在这些实施例中阐述的部件和步骤的相对 u 布置、 数字表达式和数值不限制本发明的范围。 Various exemplary embodiments of the present invention will now be described in detail with reference to the drawings. It should be noted that the relative components and steps set forth in these embodiments are unless otherwise specifically stated. The arrangement, numerical expressions and numerical values do not limit the scope of the invention.
同时, 应当明白, 为了便于描述, 附图中所示出的各个部分的尺寸 并不是按照实际的比例关系绘制的。  In the meantime, it should be understood that the dimensions of the various parts shown in the drawings are not drawn in the actual scale relationship for the convenience of the description.
以下对至少一个示例性实施例的描述实际上仅仅是说明性的, 决不 作为对本发明及其应用或使用的任何限制。  The following description of the at least one exemplary embodiment is merely illustrative and is in no way
对于相关领域普通技术人员已知的技术、 方法和设备可能不作详细 讨论, 但在适当情况下, 所述技术、 方法和设备应当被视为说明书的一 部分。  Techniques, methods and apparatus known to those of ordinary skill in the relevant art may not be discussed in detail, but where appropriate, the techniques, methods and apparatus should be considered as part of the specification.
在这里示出和讨论的所有示例中, 任何具体值应被解释为仅仅是示 例性的, 而不是作为限制。 因此, 示例性实施例的其它示例可以具有不 同的值。  In all of the examples shown and discussed herein, any specific values are to be construed as illustrative only and not as a limitation. Thus, other examples of the exemplary embodiments may have different values.
应注意到: 相似的标号和字母在下面的附图中表示类似项, 因此, 一旦某一项在一个附图中被定义, 则在随后的附图中不需要对其进行进 一步讨论。  It should be noted that similar reference numerals and letters indicate similar items in the following figures, and therefore, once an item is defined in a drawing, it is not necessary to further discuss it in the subsequent drawings.
图 1 为根据本发明一个实施例的 MRI超导磁体系统结构参数的获 取方法的示意性流程图。 如图 1 所示, 该实施例 MRI超导磁体系统结 构参数的获取方法包括:  BRIEF DESCRIPTION OF THE DRAWINGS Fig. 1 is a schematic flow chart showing a method of obtaining structural parameters of an MRI superconducting magnet system according to an embodiment of the present invention. As shown in FIG. 1, the method for obtaining the structural parameters of the MRI superconducting magnet system of this embodiment includes:
101, 对欲布置线圏系统的空间范围进行连续网格划分, 划分得到 的每个网格视为一个电流圓环, 各电流圆环的电流值可以为正值、 负值 或者零; 以及按照预设标准将超导磁体系统的 DSV表面和 5 高斯杂散 场的椭球体表面均匀划分为若干个目标点。  101. Perform continuous meshing on the spatial extent of the system to be arranged, and each divided grid is regarded as a current ring, and the current value of each current ring may be positive, negative or zero; The preset standard evenly divides the DSV surface of the superconducting magnet system and the ellipsoidal surface of the 5 Gaussian stray field into several target points.
其中, 欲布置线圏系统的空间范围根据 MRI超导磁体系统的制作 需求预先设定。  Among them, the space range in which the coil system is to be arranged is preset according to the production requirements of the MRI superconducting magnet system.
102, 以 DSV表面上各目标点处的磁场峰峰值均匀度不大于第一预 设磁场峰峰值均匀度、 5 高斯杂散场的椭球体表面上各目标点处的磁场 强度值的限制奈件为第一约束条件, 通过线性规划算法计算在给定运行 电流密度奈件下使得线圈系统体积最小的各网格处的电流分布, 得到电 流分布图。  102, wherein the uniformity of the magnetic field intensity at each target point on the surface of the DSV is not greater than the first predetermined magnetic field peak-to-peak uniformity, and the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field is The first constraint condition is obtained by calculating a current distribution at each grid at a given operating current density to minimize the volume of the coil system by a linear programming algorithm.
其中, 第一预设磁场峰峰值均勾度大于或等于超导磁体系统设计要 求中的第二预设磁场 值均匀度。 Wherein, the first predetermined magnetic field peak-to-peak degree is greater than or equal to the design of the superconducting magnet system Finding the second preset magnetic field value uniformity.
示例性地, 5 高斯杂散场的椭球体表面上各目标点处的磁场强度值 的限制条件可以包括: 5 高斯杂散场的椭球体表面上各目标点处的磁场 强度值不大于 5高斯。  Illustratively, the limitation of the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field may include: 5 The magnetic field intensity value at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss.
103, 分别以电流分布图中不为零的电流值的数目和空间位置, 作 为线圏系统中螺线管线圏的数量和初始位置, 以超导磁体系统设计要求 中的第二预设磁场峰峰值均匀度限制条件、 5 高斯杂散场的椭球体表面 上各目标点处的磁场强度值限制条件、 线圏系统中的最高磁场强度值限 制奈件、 线圏系统运行的电流安全裕度限制条件为第二约束奈件, 通过 非线性优化算法计算线圏系统体积最小时各螺线管线圏的尺寸和位置参 数, 获得线圏系统的最终结构参数。  103, respectively, the number and spatial position of the non-zero current values in the current distribution diagram, as the number and initial position of the solenoid line 圏 in the coil system, and the second preset magnetic field peak in the design requirements of the superconducting magnet system Peak uniformity limit condition, magnetic field strength value limit at each target point on the surface of the ellipsoid of the 5 Gaussian stray field, maximum magnetic field strength value limit in the coil system, current safety margin limit for the operation of the coil system For the second constraint element, the nonlinear structure optimization parameter is used to calculate the size and position parameters of each spiral line 圏 when the volume of the coil system is the smallest, and the final structural parameters of the coil system are obtained.
其中, 各螺线管线圏的尺寸和位置参数包括各螺线管线圈的内半 径、 外半径、 与两个端部的轴向位置。  Wherein, the size and position parameters of each spiral line include the inner radius, the outer radius of each solenoid coil, and the axial position of the two ends.
本发明实施例中采用线性规划算法和非线性优化算法相结合的混合 设计方法, 通过效率较高的线性规划算法获取线圏系统中螺线管线圏的 数量和初始位置, 再结合非线性优化算法获取线圏系统的最终结构参 数, 例如线圏系统中包括的线圏数量、 每个螺线管线圏的位置和尺寸参 数, 从而提高了 MRI 超导磁体系统结构参数的获取效率, 基于本发明 实施例的一个应用中, 整个结构参数的获取仅需 20 分钟左右; 并且, 采用本发明上述实施例获取到的结构参数的 MRI 超导磁体系统中的线 圈结构较小, 所需的超导线用量最少, 具有线圏结构筒单紧凑、 造价低 等优点, 易于建造和安装, 从而使得基于该结构参数制造出的 MRI 超 导磁体系统具有较高的性能, 克服了现有 MRI 超导磁体系统在电磁设 计上效率较低且难以实现最优化设计的问题。 另外, 电流安全裕度限制 条件为整个 MRI超导磁体系统的稳定运行提供了有力保障。  In the embodiment of the present invention, a hybrid design method combining a linear programming algorithm and a nonlinear optimization algorithm is adopted, and the number and initial position of the spiral pipelines in the coil system are obtained by a linear programming algorithm with high efficiency, and then combined with a nonlinear optimization algorithm. Obtaining the final structural parameters of the coil system, such as the number of turns included in the coil system, the position and size parameters of each spiral line, thereby improving the acquisition efficiency of the structural parameters of the MRI superconducting magnet system, based on the implementation of the present invention In one application of the example, the acquisition of the entire structural parameter takes only about 20 minutes; and the coil structure of the MRI superconducting magnet system using the structural parameters obtained by the above embodiment of the present invention is small, and the required amount of superconducting wire is minimum. The utility model has the advantages of simple compactness and low cost, and is easy to construct and install, so that the MRI superconducting magnet system manufactured based on the structural parameter has high performance and overcomes the existing MRI superconducting magnet system in electromagnetic field. Designed to be less efficient and difficult to achieve optimal design issues. In addition, the current safety margin limits provide a robust guarantee for the stable operation of the entire MRI superconducting magnet system.
根据本发明 MRI超导磁体系统结构参数的获取方法实施例的一个 具体示例而非限制, 第二约束条件具体可以包括:  According to a specific example of the method for obtaining the structural parameters of the MRI superconducting magnet system according to the present invention, the second constraint may specifically include:
球形成像区域表面上各目标点处的轴向磁场的磁场峰峰值均匀度不 大于第二预设磁场峰峰值均匀度; 5 高斯杂散场的椭球体表面上各目标点处的轴向磁场和径向磁场的 叠加磁场强度不大于预设磁场强度, 例如, 5 高斯杂散场的椭球体表面 上各目标点处的轴向磁场和径向磁场的叠加磁场强度不大于 5高斯; 线圈系统运行的电流安全裕度不大于预设电流安全裕度, 该预设电 流安全裕度由线圏系统中的最高磁场强度值与线圈系统所选用的超导线 的临界特性计算得到; The peak-to-peak uniformity of the magnetic field of the axial magnetic field at each target point on the surface of the spherical imaging region is not greater than the peak-to-peak uniformity of the second predetermined magnetic field; 5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength, for example, the axial direction at each target point on the surface of the ellipsoid of the 5 Gaussian stray field The superimposed magnetic field strength of the magnetic field and the radial magnetic field is not more than 5 Gauss; the current safety margin of the coil system operation is not greater than the preset current safety margin, and the preset current safety margin is the highest magnetic field strength value and coil in the coil system The critical characteristics of the superconducting wire selected by the system are calculated;
线圏系统中相邻螺线管线圈之间的间距大于预设间距;  The spacing between adjacent solenoid coils in the turns system is greater than the preset spacing;
各螺线管线圏的尺寸和位置参数使线圏系统位于欲布置线圈系统的 空间范围内。  The size and positional parameters of each solenoid line 使 place the coil system within the space within which the coil system is to be placed.
示例性地, 本发明实施例中欲布置线圏系统的空间范围具体可以是 一个具有矩形截面的螺线管形状的区域, 该区域的范围由矩形截面的参 数决定, 其中, 矩形截面的参数包括矩形截面的内径、 外径以及长度。 相应地, 根据本发明 MRI超导磁体系统结构参数的获取方法实施例的 一个具体示例而非限制, 图 1所示实施例中, 对欲布置线圏系统的空间 范围进行连续网格划分可以是: 对矩形截面分别在径向和轴向进行连续 网格划分, 例如, 对矩形截面分别在径向和轴向进行连续网格划分包 括: 对矩形截面分别在径向和轴向进行二维连续网格划分, 将矩形截面 沿着径向和轴向方向分别划分为若干等份, 形成二维连续空间网格。 这 样, 通过本发明该实施例的 MRI超导磁体系统结构参数的获取方法, 可在该具有矩形截面的螺线管形状的区域内得到 MRI 超导磁体系统中 的线圏结构较小、 性能较高的线圏系统的空间位置, 其中的线图系统包 括内层线圏和外层屏蔽线圏。  Illustratively, the spatial extent of the wire loop system to be disposed in the embodiment of the present invention may specifically be a solenoid-shaped region having a rectangular cross section, the range of the region being determined by parameters of the rectangular cross section, wherein the parameters of the rectangular cross section include The inner diameter, outer diameter, and length of the rectangular section. Correspondingly, according to a specific example of the method for acquiring the structural parameters of the MRI superconducting magnet system according to the present invention, and not limiting, in the embodiment shown in FIG. 1, the continuous meshing of the spatial extent of the system to be arranged may be : Continuous meshing of the rectangular section in the radial direction and the axial direction respectively. For example, continuous meshing of the rectangular section in the radial direction and the axial direction respectively includes: two-dimensional continuous radial and axial directions respectively for the rectangular section Meshing divides the rectangular section into several equal parts along the radial and axial directions to form a two-dimensional continuous space grid. Thus, by the method for obtaining the structural parameters of the MRI superconducting magnet system of the embodiment of the present invention, the coil structure in the MRI superconducting magnet system can be obtained in the region of the solenoid shape having a rectangular cross section, and the performance is relatively small. The spatial position of the high enthalpy system, wherein the line drawing system includes an inner layer 圏 and an outer shield 圏.
根据本发明 MRI超导磁体系统结构参数的获取方法实施例的一个 具体示例而非限制, 电流分布图给出了各网格处的电流大小和方向, 网 格处不为零的电流值聚集在一起形成边界清晰的非零电流簇。  According to a specific example of the embodiment of the method for acquiring structural parameters of the MRI superconducting magnet system according to the present invention, the current distribution diagram gives the magnitude and direction of the current at each grid, and the current values at the grid are not zero. Together form a clear, non-zero current cluster.
具体可以根据非零电流簇在空间范围内的分布情况, 分别将一个正 向电流螺线管线圏布置于非零电流簇的每个正值位置, 分别将一个反向 电流螺线管线圏布置于非零电流簇的每个负值位置。  Specifically, according to the distribution of the non-zero current clusters in the spatial range, a forward current spiral line 圏 is respectively arranged at each positive value position of the non-zero current cluster, and a reverse current spiral line 圏 is respectively arranged on the Each negative position of a non-zero current cluster.
在本发明 MRI超导磁体系统结构参数的获取方法的另一个实施例 中, 可以根据预先设定的线圈系统中的最高磁场强度值与线圏系统所选 用的超导线的临界特性, 计算预设电流安全裕度。 Another embodiment of a method for acquiring structural parameters of an MRI superconducting magnet system of the present invention The preset current safety margin can be calculated according to the highest magnetic field strength value in the preset coil system and the critical characteristic of the superconducting wire selected by the coil system.
在本发明 MRI 超导磁体系统结构参数的获取方法另一个实施例 中, 根据 MRI超导磁体系统的制作需求预先设定欲布置线圏系统的空 间范围, 该空间范围具体是一个具有矩形截面的螺线管形状的区域, 该 区域的范围由矩形截面的参数决定, 其中, 矩形截面的参数包括矩形截 面的内径、 外径以及长度。 图 2 为根据本发明另一个实施例的 MRI超 导磁体系统结构参数的获取方法的示意性流程图。 如图 2所示, 该实施 例 MRI超导磁体系统结构参数的获取方法包括:  In another embodiment of the method for acquiring structural parameters of the MRI superconducting magnet system of the present invention, the spatial range of the coil system to be arranged is preset according to the manufacturing requirements of the MRI superconducting magnet system, and the spatial range is specifically a rectangular cross section. The area of the solenoid shape, the range of which is determined by the parameters of the rectangular section, wherein the parameters of the rectangular section include the inner diameter, the outer diameter and the length of the rectangular section. 2 is a schematic flow chart of a method for acquiring structural parameters of an MRI superconducting magnet system according to another embodiment of the present invention. As shown in FIG. 2, the method for acquiring structural parameters of the MRI superconducting magnet system of the embodiment includes:
201 , 对欲布置线圈系统的矩形截面分别在径向和轴向进行二维连 续网格划分, 将矩形截面沿着径向和轴向方向分别划分为若干等份, 形 成二维连续空间网格, 每个网格视为一个电流圆环, 各电流圆环的电流 值可以为正值、 负值或者零; 以及按照预设标准将超导磁体系统的 DSV 表面和 5高斯杂散场的椭球体表面均匀划分为若干个目标点。  201. Perform a two-dimensional continuous mesh division on the rectangular section of the coil system to be arranged in the radial direction and the axial direction respectively, and divide the rectangular section into a plurality of equal parts along the radial direction and the axial direction to form a two-dimensional continuous space grid. Each grid is regarded as a current ring, and the current value of each current ring can be positive, negative or zero; and the DSV surface of the superconducting magnet system and the ellipsoid of the 5 Gaussian stray field according to preset criteria The surface is evenly divided into several target points.
202, 以矩形截面划分得到的各网格处的电流圆环的电流值作为待 优化变量, 以 DSV表面上各目标点处的磁场峰峰值均匀度不大于第一 预设磁场峰峰值均匀度、 5 高斯杂散场的椭球体表面上各目标点处的磁 场强度值不大于 5 高斯为第一约束条件, 通过线性规划算法计算在给定 运行电流密度条件下使得线圏系统体积最小的各网格处的电流分布, 得 到电流分布图, 该电流分布图给出了各网格处的电流大小和方向, 其 中, 大部分网格处的电流值为零, 只有少数电流值不为零, 不为零的电 流值聚集在一起形成边界清晰的非零电流簇。 第一预设磁场峰峰值均匀 度大于或等于超导磁体系统设计要求中的第二预设磁场 值均匀度。  202. The current value of the current ring at each mesh obtained by dividing the rectangular section is used as a variable to be optimized, so that the peak-to-peak uniformity of the magnetic field at each target point on the DSV surface is not greater than the first predetermined magnetic field peak-to-peak uniformity, 5 The height of the magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss is the first constraint. The linear programming algorithm is used to calculate the meshes that minimize the volume of the coil system under the given operating current density. At the current distribution, a current distribution diagram is obtained. The current distribution diagram shows the magnitude and direction of the current at each grid. The current value at most of the grid is zero, and only a few current values are not zero, not Zero current values are grouped together to form a clear, non-zero current cluster. The first predetermined magnetic field peak-to-peak uniformity is greater than or equal to the second predetermined magnetic field value uniformity in the superconducting magnet system design requirements.
可以根据非零电流簇在空间范围内的分布情况, 分别将一个正向电 流螺线管线圏布置于非零电流簇的每个正值位置, 分别将一个反向电流 螺线管线圈布置于非零电流簇的每个负值位置, 该螺线管线圏的布置方 式符合实际磁体系统由多个电流大小相同的分离螺线管线图组成的要 求; 并且, 通过非零电流簇的位置和总电流大小可以构造出每个螺线管 线圏的初始位置和尺寸参数。 可以将螺线管线圏的初始位置和尺寸参数 作为后续非线性优化算法中螺线管线圏结构参数的的初始值, 从而弥补 了现有技术中局部优化算法在螺线管线圈结构参数的初始值选取上的盲 目性。 According to the distribution of non-zero current clusters in the spatial range, a forward current spiral line 圏 is respectively arranged at each positive value position of the non-zero current cluster, and a reverse current solenoid coil is respectively arranged in the non-zero current coil. Each negative position of the zero current cluster, the arrangement of the spiral line 符合 conforms to the requirement that the actual magnet system consists of a plurality of separate spiral line diagrams of the same current magnitude; and, by the position and total current of the non-zero current cluster The size can be used to construct the initial position and size parameters of each spiral line. Initial position and size parameters of the solenoid line As the initial value of the spiral pipeline 圏 structural parameters in the subsequent nonlinear optimization algorithm, it compensates for the blindness of the local optimization algorithm in the initial value selection of the solenoid coil structure parameters.
203, 根据预先设定的线圈系统中的最高磁场强度值与线圏系统所 选用的超导线的临界特性, 获取线圏系统运行的电流安全裕度。  203. Obtain a current safety margin of the operation of the coil system according to the highest magnetic field strength value in the preset coil system and the critical characteristic of the superconducting wire selected by the coil system.
204, 分别以电流分布图中不为零的电流值的数目和空间位置, 作 为线圏系统中螺线管线圈的数量和初始位置, 以超导磁体系统设计要求 中的以下条件作为第二约束条件, 通过非线性优化算法计算线圏系统体 积 最 小 时 各 螺 线 管 线 图 的 尺 寸 和 位 置 参 数 ( rinner(i),r。uter(i),Z|ef,(i),Zright(i),i=l,2,...,N ) , 包括各螺线管线圏的内半 径、 外半径、 与两个端部的轴向位置, 获得线图系统的最终结构参数: 球形成像区域表面上各目标点处的轴向磁场的磁场峰峰值均匀度不 大于第二预设磁场 值均匀度; 204, the number and the spatial position of the non-zero current values in the current distribution diagram respectively, as the number and initial position of the solenoid coils in the coil system, and the following conditions in the design requirements of the superconducting magnet system as the second constraint Condition, through the nonlinear optimization algorithm to calculate the size and position parameters of each spiral pipeline diagram when the volume of the coil system is the smallest ( r inner (i), r. uter (i), Z|ef , (i), Zright (i) , i=l, 2,...,N) , including the inner radius, the outer radius of each spiral line, and the axial position of the two ends, to obtain the final structural parameters of the line graph system: spherical imaging area surface The peak-to-peak uniformity of the magnetic field of the axial magnetic field at each of the target points is not greater than the uniformity of the second predetermined magnetic field value;
5 高斯杂散场的椭球体表面上各目标点处的轴向磁场和径向磁场的 叠加磁场强度不大于 5高斯;  5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss;
线圈系统运行的电流安全裕度不大于预设电流安全裕度, 以保证 MRI超导磁体系统运行的安全性;  The current safety margin of the coil system operation is not greater than the preset current safety margin to ensure the safety of the MRI superconducting magnet system;
线圏系统中相邻螺线管线圈之间的间距大于预设间距, 具体可以对 各螺线管线圈的轴向尺寸进行约束, 使得相邻螺线管线圏的间距大于预 设间距, 从而避免各螺线管线圈之间相互重叠, 便于螺线管线圏的建 造;  The spacing between adjacent solenoid coils in the coil system is greater than the preset spacing, and the axial dimension of each solenoid coil may be constrained so that the spacing of adjacent spiral pipelines is greater than a preset spacing, thereby avoiding Each of the solenoid coils overlap each other to facilitate the construction of the solenoid line ;;
各螺线管线圏的尺寸和位置参数使线圏系统位于欲布置线圈系统的 空间范围内。  The size and positional parameters of each solenoid line 使 place the coil system within the space within which the coil system is to be placed.
其中, N 为线圏系统中包括的螺线管线圏数量, 即: MRI 超导磁 体系统所需的螺线管线圈的数司, rinner为 N个螺线管线圈中第 i个螺线 管线圏的内半径, r。 为第 i个螺线管线圏的外半径, zlert为第 i个螺线 管线圈的一个端部的轴向位置; zright为第 i 个螺线管线圏另一个端部的 轴向位置。 Where N is the number of solenoids included in the coil system, ie: the number of solenoid coils required for the MRI superconducting magnet system, r inner is the ith spiral line of the N solenoid coils The inner radius of 圏, r. For the outer radius of the i-th spiral line, z lert is the axial position of one end of the i-th solenoid coil; z right is the axial position of the other end of the i-th solenoid line.
通过上迷操作 204, 可以得到最优的线图系统结构, 此时线圏系统 体积最小。 Through the above operation 204, the optimal line graph system structure can be obtained, and the coil system is now The smallest volume.
本发明上述图 2所示实施例大大提高了 MRI超导磁体系统结构参 数的获取效率, 基于图 2所示实施例的一个应用中, 整个结构参数的获 取仅需 20分钟左右, 其中操作 201 - 202约需 5分钟左右, 操作 203 - 203 约需 15分钟左右。 采用上述图 2 所示实施例获取到的结构参数的 MRI超导磁体系统所需的超导线用量最少, 降低了整个 MRI超导磁体 系统的 i 价; 同时, 线圏系统的结构简单, 易于建造和安装, 对电流安 全裕度的限制为整个 MRI超导磁体系统的稳定运行提供了有效保障。  The embodiment shown in FIG. 2 of the present invention greatly improves the acquisition efficiency of the structural parameters of the MRI superconducting magnet system. According to an application of the embodiment shown in FIG. 2, the acquisition of the entire structural parameter takes only about 20 minutes, wherein operation 201 - 202 takes about 5 minutes, and operation 203 - 203 takes about 15 minutes. The MRI superconducting magnet system using the structural parameters obtained by the embodiment shown in Fig. 2 above requires the least amount of superconducting wire, which reduces the i-price of the entire MRI superconducting magnet system; meanwhile, the wire loop system has a simple structure and is easy to construct. And installation, the limitation of current safety margin provides an effective guarantee for the stable operation of the entire MRI superconducting magnet system.
以下以一个短腔、 自屏蔽 MRI超导磁体系统结构参数的获取方法 的具体应用为例, 对本发明 MRI超导磁体系统结构参数的获取方法实 施例进行进一步详细的示例性说明。  The specific application of the method for obtaining the structural parameters of the short cavity and self-shielding MRI superconducting magnet system is taken as an example to further illustrate the embodiment of the method for obtaining the structural parameters of the MRI superconducting magnet system of the present invention.
如图 3所示, 为根据本发明一个应用实施例 MRI超导磁体系统结 构参数的获取方法的示意性流程图。 该应用实施例中, 要求 MRI 超导 磁体系统需在直径为 50cm的 DSV产生中心磁场强度为 1.5T的磁场分 布, 其磁场峰峰值均匀度需优于 lOppm; 5 高斯杂散场约束在一个椭球 体区域内, 该椭球体的长半轴长度为 5m, 短半轴为 4m; 线圏系统的内 半径不小于 0,40m, 外半径不大于 0.80m, 长度短于 1.15m, 即: 线圈 系统的最小内半径为 0.40m, 线圏系统的最大外半径为 0.80m, 线圈系 统的最大长度为 1.15m; 线圏系统中的最高磁场强度小于 8T, 电流安全 裕度需低于 80%。  As shown in FIG. 3, it is a schematic flow chart of a method for acquiring structural parameters of an MRI superconducting magnet system according to an application embodiment of the present invention. In this application example, the MRI superconducting magnet system is required to generate a magnetic field distribution with a central magnetic field strength of 1.5T in a DSV having a diameter of 50 cm, and the peak-to-peak uniformity of the magnetic field needs to be better than 10 ppm; 5 Gaussian stray field is constrained to an ellipsoid In the region, the long semi-axis length of the ellipsoid is 5m, and the short semi-axis is 4m; the inner radius of the coil system is not less than 0,40m, the outer radius is not more than 0.80m, and the length is shorter than 1.15m, namely: the coil system The minimum inner radius is 0.40m, the maximum outer radius of the coil system is 0.80m, and the maximum length of the coil system is 1.15m; the highest magnetic field strength in the coil system is less than 8T, and the current safety margin needs to be less than 80%.
首先, 在操作 301 中, 根据 MRI超导磁体系统的制作需求设定欲 布置线圈系统的空间范围。  First, in operation 301, the spatial extent of the coil system to be arranged is set according to the production requirements of the MRI superconducting magnet system.
具体地, 由线圏系统的最小内半径、 最大外半径以及最大长度, 确 定欲布 置 线 圈 系 统 的 空 间 范 围 为 : 0.40m<=r<=0.80m, - 1.15/2=0.575m<=z<=1.15/2=0.575m , 即: -0.575m<=z<=0.575m, 其中, r 为欲布置线圈系统的空间范围的径向位置范围, z 为欲布置线圏系统 的空间范围的轴向位置范围, 该空间范围为一具有矩形截面的螺线管形 区域。  Specifically, from the minimum inner radius, the maximum outer radius, and the maximum length of the coil system, the spatial range in which the coil system is to be arranged is determined to be: 0.40 m <= r < = 0.80 m, - 1.15 / 2 = 0.575 m <= z < =1.15/2=0.575m, ie: -0.575m<=z<=0.575m, where r is the radial position range of the spatial extent in which the coil system is to be arranged, and z is the axis of the spatial extent in which the coil system is to be arranged To the position range, the space range is a solenoid-shaped area having a rectangular cross section.
在操作 302 中, 对欲布置线圈系统的矩形截面的螺线管形区域, 分 别在轴向和径向进行二维连续网格划分, 以及按照预设标准将超导磁体 系统的 DSV表面和 5 高斯杂散场的椭球体表面均匀划分为若干个目标 点。 该 302 中包括的几个操作不存在执行顺序的限制, 几个操作可以同 时执行, 也可以先执行其中的任意一个或者几个操作。 In operation 302, for the solenoid-shaped region of the rectangular section where the coil system is to be arranged, Do not perform two-dimensional continuous meshing in the axial and radial directions, and uniformly divide the DSV surface of the superconducting magnet system and the ellipsoidal surface of the 5 Gaussian stray field into several target points according to preset criteria. There are no restrictions on the execution order of several operations included in the 302. Several operations can be performed simultaneously, or any one or several of them can be executed first.
对该欲布置线圈系统的矩形截面的螺线管形区域, 分别在轴向和径 向进行二维连续网格划分, 将矩形截面沿着轴向和径向分别均勾划分为 80和 40等份, 共得到 80*40=3200个网格, 形成二维连续空间网格, 每个网格视为一个理想的电流圓环, 各电流圆环的电流值可为正值、 负 值或者零。  The two-dimensional continuous mesh division of the rectangular cross-section of the coil system to be arranged is respectively performed in the axial direction and the radial direction, and the rectangular cross-section is respectively divided into 80 and 40 in the axial direction and the radial direction. A total of 80*40=3200 grids are formed to form a two-dimensional continuous space grid. Each grid is regarded as an ideal current ring, and the current value of each current ring can be positive, negative or zero. .
由于超导磁体系统为轴对称结构, 本应用实施例中, 仅将 DSV 表 面和 5 高斯杂散场的椭球体表面的 1/4边界线均匀划分为 50等份, 得 到 51 个目标点。 如图 4所示, 为本发明该应用实施例中欲布置线圏的 空间范围、 DSV表面区域和 5高斯杂散场区域的示意图。 图 4中, 上半 部分为二维连续空间网格示意图; 下半部分为后续操作中布置的螺线管 线圏的线圏系统示意图, 最外侧的长方形表示线圈系统的截面, 其中的 每一个小长方形表示一个螺线管线圏的截面。 外侧的椭圆表示 5高斯杂 散场的椭球体表面的截面, 内侧的圆表示 DSV表面的截面。 gap 表示 相邻螺线管线圈之间的间距, 具体为匝间间距。  Since the superconducting magnet system is an axisymmetric structure, in the present application embodiment, only the 1/4 boundary line of the surface of the ellipsoid of the DSV surface and the 5 Gaussian stray field is evenly divided into 50 equal parts, and 51 target points are obtained. As shown in FIG. 4, it is a schematic diagram of a spatial range, a DSV surface area, and a 5 Gaussian stray field area in which the turns are to be arranged in the application embodiment of the present invention. In Fig. 4, the upper part is a schematic diagram of a two-dimensional continuous space grid; the lower part is a schematic diagram of a coil system of a spiral line arranged in a subsequent operation, and the outermost rectangle represents a section of the coil system, each of which is small The rectangle represents the cross section of a spiral line. The outer ellipse represents the cross section of the ellipsoidal surface of the 5 Gaussian stray field, and the inner circle represents the section of the DSV surface. Gap represents the spacing between adjacent solenoid coils, specifically the inter-turn spacing.
在操作 303 中, 以矩形截面划分得到的各网格处的电流圆环的电流 值作为待优化变量, 通过线性规划算法计算线图系统体积最小的各网格 处的电流分布, 得到电流分布图。  In operation 303, the current value of the current ring at each grid obtained by dividing the rectangular section is used as a variable to be optimized, and the current distribution of each grid at the smallest volume of the line graph system is calculated by a linear programming algorithm to obtain a current distribution map. .
计算出每个理想的电流圆环在 DSV 表面上各目标点处加载单位电 流时所产生的磁场贡献矩阵 Azd, 同时计算出 5 高斯杂散场的椭球体表 面上各目标点处的轴向磁场贡献矩阵 Azs和径向磁场贡献矩阵 Ars, 磁场 贡献矩阵 Azd、 磁场贡献矩阵 Azs和磁场贡献矩阵 ^的矩阵大小均为 51x3200; 待优化变量为所有网格处的电流值 I,
Figure imgf000020_0001
.
Calculate the magnetic field contribution matrix A zd generated by loading each unit current at each target point on the DSV surface with each ideal current ring, and calculate the axial magnetic field at each target point on the surface of the ellipsoid of the 5 Gaussian stray field. The matrix of the contribution matrix A zs and the radial magnetic field contribution matrix A rs , the magnetic field contribution matrix A zd , the magnetic field contribution matrix A zs and the magnetic field contribution matrix ^ are both 51x3200; the variable to be optimized is the current value I at all the grids,
Figure imgf000020_0001
.
假设所有网格处的电流密度相同, 则理想的电流圆环可通过具有一 定横截面的螺线管线圏来表示, 建立线性规划算法的数学模型, 由于要 获得线圏系统体积最小的各网格处的电流分布, 以所有网格处螺线管线 圏的总体积作为目标函数, 目标函数的取最小值时线圏系统的体积最 小。 基于本应用实施例的 MRI超导磁体系统设计要求, 将 DSV表面上 各目标点处的轴向磁场的峰峰值均匀度的最小值设置为 20ppm、 5 高斯 杂散场的椭球体表面上各目标点的轴向磁场和径向磁场磁场强度的最大 值均设置为 5高斯; 假设螺线管线圏所用超导线截面积为 4.5312mm 2, 该超导线在 9T背景磁场强度下的临界电流为 950A, 设定螺线管线圏的 运行电流密度为 148ΜΑ/η Assuming that the current densities are the same at all grids, the ideal current loop can be represented by a spiral line 具有 with a certain cross section, establishing a mathematical model of the linear programming algorithm, since the mesh with the smallest volume of the coil system is obtained. Current distribution at all grids The total volume of 圏 is used as the objective function, and the minimum value of the objective function takes the smallest volume of the line 圏 system. Based on the design requirements of the MRI superconducting magnet system according to the embodiment of the present application, the minimum value of the peak-to-peak uniformity of the axial magnetic field at each target point on the DSV surface is set to each target point on the surface of the ellipsoid of 20 ppm, 5 Gaussian stray field. The maximum values of the axial magnetic field and the radial magnetic field strength are set to 5 Gauss; assuming that the cross-sectional area of the superconducting wire used in the spiral line is 4.5312 m 2 , the critical current of the superconducting wire at 9 T background magnetic field strength is 950 A, Set the operating current density of the solenoid line 为 to 148ΜΑ/η
欲布置螺线管线圏在空间中第 i个网格处, 该第 i个网格处的径向 位置为 ri, 该第 ί个网格处代表的螺线管线圏的横截面积为 Ai, 则第 i 个网格处的体积 ^为 2π ><Α·, 假定运行电流密度相同, 线圏系统的总 体积为: To arrange the spiral line 圏 at the i-th grid in the space, the radial position of the i-th grid is ri , and the cross-sectional area of the spiral line 代表 represented by the ί grid is Ai, Then the volume ^ at the i-th grid is 2π ><Α·, assuming the same operating current density, the total volume of the coil system is:
. 40x80  . 40x80
J 因此, 建立线性规划算法的数学模型如下所示: 目标函数为: Therefore, the mathematical model for building a linear programming algorithm is as follows: The objective function is:
Figure imgf000021_0001
max« x/)— min( x/) / B0 < 20 ppm
Figure imgf000021_0001
Max« x/)— min( x/) / B 0 < 20 ppm
Ars x I≤ 5Gauss A rs x I≤ 5Gauss
第一约束条件包括: A... xl≤ 5 Gauss  The first constraint includes: A... xl ≤ 5 Gauss
1.48 x10s ί_Α 上述第一约束条件中, max(AzdxI)表示 DSV表面上目标点的磁场 强度的最大值, min(AzdxI)表示 DSV 表面上目标点的磁场强度的最小 值, B。为中心磁场强度值, 大小为 1.5T; J为螺线管线圏的运行电流密 度; Amesh 为每个网格所占的面积。 上述第一约束条件中 , [max( — rfx/)- min(4rf x )]/ )≤20/y7w表示 DSV 表面上各目标点处的磁 场峰峰值均匀度不大于 20ppm, „x/≤5Gm^与 4></≤5(¾^5分别 表示 5 高斯杂散场的椭球体表面上各目标点处径向磁场与轴向磁场的磁 场强度不大于 5Gauss, |/|≤1.48χ 108 χ Λ^,表示每个网格处的电流大小不 大于 1.48 x l 08 x Amesh e 1.48 x10 s ί_ Α In the above first constraint, max(A zd xI) represents the maximum value of the magnetic field strength of the target point on the DSV surface, and min(A zd xI) represents the minimum value of the magnetic field strength of the target point on the DSV surface. B. The value of the center magnetic field strength is 1.5T; J is the operating current density of the spiral line ;; A mesh is the area occupied by each grid. In the above first constraint, [max( — rf x/)- min(4 rf x )]/ ) ≤ 20/y7w represents that the peak-to-peak uniformity of the magnetic field at each target point on the DSV surface is not more than 20 ppm, „x/ ≤5Gm^ and 4></≤5(3⁄4^5 respectively represent the magnetic field of the radial magnetic field and the axial magnetic field at each target point on the surface of the ellipsoid of the 5 Gaussian stray field The field strength is not more than 5Gauss, |/|≤1.48χ 10 8 χ Λ^, indicating that the current at each grid is no more than 1.48 xl 0 8 x A mesh e
40x80  40x80
通过线性规划优化算法计算 = 2% ^ |/,|取值最小时各网格处的 电流分布, 形成的电流分布图, 并且可以蔌得此时 DSV表面和 5 高斯 杂散场的椭球体表面上各目标点处的磁场分布图。 如图 5所示, 为通过 线性规划算法得到的电流分布图, 该电流分布图中含有多个正、 负值交 替的非零电流簇。 图 5 中, 正值表示相应的网格处需布置通以正向电流 的螺线管线圏, 负值表示相应的网格处需布置通以反向电流的螺线管线 圈, 零则相应的网格处不需布置螺线管线围。 通过电流分布图的非零电 流簇的位置, 可以很清晰地看出需要布置六对螺线圈及布置各螺线管线 圈的空间位置。 Calculate the current distribution at each grid by the linear programming optimization algorithm = 2 % ^ |/,| at the minimum value, and form the current distribution map, and obtain the ellipsoid surface on the DSV surface and the 5 Gaussian stray field at this time. The magnetic field distribution at each target point. As shown in FIG. 5, it is a current distribution diagram obtained by a linear programming algorithm, and the current distribution diagram includes a plurality of non-zero current clusters with alternating positive and negative values. In Figure 5, a positive value indicates that a spiral line 通 with a forward current is required at the corresponding grid, and a negative value indicates that a solenoid coil with a reverse current is required at the corresponding grid, and zero corresponds to There is no need to arrange a spiral line around the grid. From the position of the non-zero current cluster of the current profile, it can be clearly seen that the spatial position of the six pairs of solenoids and the arrangement of the solenoid coils needs to be arranged.
如图 6所示, 为对应于图 5所示电流分布图获得的 DSV表面上各 目标点处的轴向磁场的磁场峰峰值均匀度分布图。 由图 6 可以看到, DSV表面上各目标点处的轴向磁场的磁场峰峰值均匀度满足 20ppm。  As shown in Fig. 6, the magnetic field peak-to-peak uniformity distribution map of the axial magnetic field at each target point on the surface of the DSV obtained corresponding to the current profile shown in Fig. 5 is shown. It can be seen from Fig. 6 that the magnetic field peak-to-peak uniformity of the axial magnetic field at each target point on the surface of the DSV satisfies 20 ppm.
如图 7所示, 为对应于图 5所示电流分布图获得的 5高斯杂散场的 椭球体表面上各目标点处的磁场强度分布图, 其中径向磁场与轴向磁场 的叠力 p磁场强度值均不大于 5Gauss。  As shown in FIG. 7, the magnetic field intensity distribution map at each target point on the surface of the ellipsoid corresponding to the 5 Gaussian stray field obtained in the current distribution diagram shown in FIG. 5, wherein the radial magnetic field and the axial magnetic field are combined with the p magnetic field The intensity values are not greater than 5 Gauss.
参见图 3, 根据线性规划算法得到的电流分布图, 六个非零电流簇 边界清晰可辨且其每个网格点处的电流值相同, 符合实际螺线管线圈中 加栽电流相同的情况。 将非零电流簇离散成具有矩形截面的通电螺线管 线圏, 计算出每个非零电流簇的总电流作为每个螺线管线圏的初始总电 流, 根据螺线管线圏的运行电流密度计算出每个螺管线圈的初始面积, 根据设定的每个螺线管线图的初始厚度与宽度之比, 例如可以示例性地 设定每个螺线管线圈的初始厚度与宽度之比为 0.8, 可得到每个螺线管 线圏的初始位置和尺寸参数并将其作为后续非线性优化算法中螺线管线 團结构参数的初始值。 如图 8所示, 为该应用实施例中基于线性规划算 法得到的电流分布图中非零电流簇离散成螺线管线圏的初始位置和尺寸 参数示意图。  Referring to Figure 3, according to the current distribution diagram obtained by the linear programming algorithm, the boundaries of the six non-zero current clusters are clearly identifiable and the current values at each grid point are the same, which is consistent with the same current in the actual solenoid coil. . Distributing the non-zero current cluster into an energized spiral line 具有 having a rectangular cross section, and calculating the total current of each non-zero current cluster as the initial total current of each spiral line ,, according to the operating current density of the spiral line 圏The initial area of each solenoid coil is set. According to the ratio of the initial thickness to the width of each spiral line diagram set, for example, the ratio of the initial thickness to the width of each solenoid coil can be exemplarily set to 0.8. The initial position and size parameters of each spiral line 可 can be obtained and used as the initial values of the spiral line group structure parameters in the subsequent nonlinear optimization algorithm. As shown in FIG. 8, the initial position and size parameters of the non-zero current clusters in the current distribution diagram obtained by the linear programming algorithm in this application embodiment are separated into spiral pipelines.
在操作 304中, 通过非线性优化算法对操 303中获得的螺线管线 圈的结构参数的初始值进行优化, 计算线圏系统体积最小时各螺线管线 圏的尺寸和位置参数, 获得线圏系统的最终结构参数。 In operation 304, the solenoid line obtained in operation 303 is performed by a nonlinear optimization algorithm The initial values of the structural parameters of the circle are optimized, and the size and position parameters of each spiral line 圏 are calculated when the volume of the coil system is the smallest, and the final structural parameters of the coil system are obtained.
非线性优化算法中的待优化变量为每个螺线管线圏的结构参数, 包 括每个螺线管线圈的如下尺寸和空间位置参数: rinner(i), router(i), zleft(i), zright(i),其中, 1,2 ..,6, rinner(i) 为第 i个螺线管线圏的内半径, r。uter(i) 为第 i 个螺线管线圏的外半径, z,eft(i) 为第 i 个螺线管线圏的一个端部 轴向位置, zright(i)为第 i个螺线管线圈的另一个端部轴向位置。 The variables to be optimized in the nonlinear optimization algorithm are the structural parameters of each spiral line, including the following dimensions and spatial position parameters of each solenoid coil: r inner (i), r outer (i), z left ( i), z right (i), where 1,2 ..,6, r inner (i) is the inner radius of the ith spiral line ,, r. Uter (i) is the outer radius of the ith spiral line ,, z, eft (i) is the end axial position of the ith spiral line ,, z right (i) is the ith solenoid The other end of the coil is axially positioned.
以六对螺线管线圏的总体积作为目标函数, 目标函数的取最小值时 线圏系统的体积最小。 将 DSV表面上目标点处的轴向磁场的磁场峰峰 值均匀度设置为 10ppm、 5高斯杂散场的椭球体表面上目标点的轴向磁 场和径向磁场的磁场强度设置为不大于 5 Gauss; 使线圈系统中的最高 磁场强度小于 8T, 同时根据线圏系统中的最高磁场强度和所选用超导 线的性能, 使电流安全袼度低于 80%; 同一层螺线管线圏间为了便于建 造和避免螺线管线圈之间相互重叠, 示例性地预设螺线管线圏的匝间间 距大于 lcm, 径向不同层间间距大于 lcm。  Taking the total volume of the six pairs of spiral pipelines as the objective function, the minimum value of the objective function takes the minimum volume of the system. Setting the magnetic field peak-to-peak uniformity of the axial magnetic field at the target point on the DSV surface to 10 ppm, the magnetic field strength of the axial magnetic field and the radial magnetic field of the target point on the surface of the ellipsoid of the 5 Gaussian stray field is set to be no more than 5 Gauss; The highest magnetic field strength in the coil system is less than 8T, and the current safety is less than 80% according to the highest magnetic field strength in the coil system and the performance of the selected superconducting wire; the same layer of spiral pipelines are convenient for construction and It is avoided that the solenoid coils overlap each other, exemplarily preset that the inter-turn spacing of the spiral line turns is greater than 1 cm, and the radial different interlayer spacing is greater than 1 cm.
非线性优化算法的数学模型如下:  The mathematical model of the nonlinear optimization algorithm is as follows:
6  6
目标函数为: ∑ 2 x [_rou,er ( 2 - rimer {if」 x [zright (i) - ζ1 (0」The objective function is: ∑ 2 x [_ r ou, er ( 2 - r imer {if" x [z right (i) - ζ 1 (0)
=1  =1
第二约束条件包括:
Figure imgf000023_0001
The second constraint includes:
Figure imgf000023_0001
上述第二约束条件中, 8¾(^为螺线管线圈在 DSV表面各目标点处 产生的轴向磁场的磁场强度, 8^^为螺线管线圏在 5 高斯杂散场的椭 球体表面上各目标点处产生的轴向磁场的磁场强度, Brstray为螺线管线 圏在 5 高斯杂散场椭球体表面上各目标点处产生的径向磁场的磁场强 度, max(Bzdsv) 表示所有目标点处磁场强度中的最大值、 max(Bzdsv) 表 示所有目标点处磁场强度中的最小值, mean(Bzdsv)表示所有目标点处磁 场强度的平均值; lop 为超导磁体系统在工作点的的运行电流, Ic(Bmax) 为根据超导磁体系统在工作点的运行电流 lop和线圈系统中的磁场强度 的最高值计算出的超导线中对应的临界电流值 Ic。 其中,
Figure imgf000024_0001
min^jj/^^CS^^lO/^w表示 DSV 表面上各目标点处轴 向磁场的磁场峰峰值均匀度不大于 lOppm, Br 2 s,ray ≤ 50画表示
In the above second constraint, 8 3⁄4 ( ^ is the magnetic field strength of the axial magnetic field generated by the solenoid coil at each target point on the DSV surface, 8^^ is the ellipse of the spiral line 圏 in the 5 Gaussian stray field The magnetic field strength of the axial magnetic field generated at each target point on the surface of the sphere, B rstray is the magnetic field strength of the radial magnetic field generated at each target point on the surface of the 5 Gaussian stray field ellipsoid, max(B zdsv ) Indicates the maximum value of the magnetic field strength at all target points, max(B zdsv ) represents the minimum of the magnetic field strength at all target points, mean(B zdsv ) represents the average of the magnetic field strength at all target points; lop is the superconducting magnet The operating current of the system at the operating point, Ic(B max ), is the corresponding critical current value Ic in the superconducting wire calculated from the operating current lop of the superconducting magnet system at the operating point and the highest value of the magnetic field strength in the coil system. among them,
Figure imgf000024_0001
Min^jj/^^CS^^lO/^w indicates that the peak-to-peak uniformity of the magnetic field at each target point on the DSV surface is not more than 10 ppm, B r 2 s , ray ≤ 50
5 高斯杂散场椭球体表面上各目标点的轴向磁场和径向磁场的叠加磁场 强度不大于 5gauss
Figure imgf000024_0002
O.SO表示电流安全裕度不大于 0.8 ¾('+l)-¾,( >=lcm, = 1,2... 4与 ^ (6) >=1^ = 1 2,,..,4,5 分别表示螺线管线圈间的匝间间距与层间间距不小于 1cm >=
Figure imgf000024_0003
0.575 与 z/e<(6):>=0 ¼/w(6)<=0.575表示螺线管线團需位于欲布置线圏系统的空 间范围内。
5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field of each target point on the surface of the Gaussian stray field ellipsoid is not more than 5 g auss
Figure imgf000024_0002
O.SO indicates that the current safety margin is not more than 0.8 3⁄4('+l)-3⁄4, ( >=lcm, = 1,2... 4 and ^ (6) >=1^ = 1 2,,.., 4,5 respectively indicate that the inter-turn spacing and inter-layer spacing between the solenoid coils are not less than 1 cm >=
Figure imgf000024_0003
0.575 and z /e< (6):>=0 1⁄4/w (6)<=0.575 indicates that the spiral line group needs to be within the space of the system to be laid.
如图 9所示, 为图 3所示应用实施例中通过非线性优化算法优化得 到的线圏系统的最终结构参数示意图。 其中, 黑色区域表示通电方向为 正向的螺线管线圈, 白色区域表示通电方向为的负向螺线管线圏。 其线 图系统具有两层共六对螺线管线圏, 其中内层有五对螺线管线圏, 外层 有一对屏蔽螺线管线圏。 图 10 为该应用实施例中通过非线性优化算法 优化得到的 DSV表面上各目标点处的轴向磁场的磁场峰峰值均匀度分 布图。 图 11为图 3所示应用实施例中通过非线性优化算法得到的 5 高 斯杂散场的椭球体表面上各目标点处的磁场强度分布图。  As shown in FIG. 9, it is a schematic diagram of the final structural parameters of the coil system obtained by the nonlinear optimization algorithm in the application embodiment shown in FIG. Among them, the black area indicates the solenoid coil in which the energization direction is forward, and the white area indicates the negative solenoid line 通电 in the energization direction. The line drawing system has two layers of six pairs of spiral lines, wherein the inner layer has five pairs of spiral lines and the outer layer has a pair of shielded spiral lines. Fig. 10 is a view showing the distribution of the peak-to-peak uniformity of the magnetic field of the axial magnetic field at each target point on the DSV surface optimized by the nonlinear optimization algorithm in the application embodiment. 11 is a magnetic field intensity distribution diagram at each target point on the surface of an ellipsoid of a 5 Gaussian stray field obtained by a nonlinear optimization algorithm in the application embodiment shown in FIG. 3.
图 12为图 3所示应用实施例中 MRI超导磁体系统的电流安全裕度 图, 其中, 粗曲线 (Ic, Be)表示所选超导线的临界电流特性 Ic-Bc 曲 线, 细直线 (Bmax lop)表示线圏系统在工作点的运行电流 lop和线圏 系统中最高磁场强度值 Bmax之间的关系曲线, 两条曲线的交点为线圏系 统的工作点对应的临界点。 Ic=953.3A 时, 该应用实施例的电流安全裕 度为 70.35%, 12 is a current safety margin diagram of the MRI superconducting magnet system in the application embodiment shown in FIG. 3, wherein the thick curve (Ic, Be) represents the critical current characteristic Ic-Bc curve of the selected superconducting wire, and the thin line (B) Max lop) represents the relationship between the operating current lop of the coil system at the operating point and the highest magnetic field strength value B max in the coil system. The intersection of the two curves is the critical point corresponding to the operating point of the coil system. Current safety margin for this application example when Ic=953.3A Degree is 70.35%,
图 13为图 3所示应用实施例中线圈系统在空间中产生的磁场强度 分布图, 线圏系统中磁场分布具有对称性, 图 14 为图 3 所示应用实施 例中线圏系统中位于内层最靠近端部的螺线管线圈内的空间磁场强度分 布图。 由图 13与图 14可以看出, 线圈系统中的最高磁场 (即: 磁场强 度最高的磁场) 位于内层端部的螺线管线圏中, 其最大磁场强度为 4.9127T。 表 1为图 3所示应用实施例对应的 MRI超导磁体系统中各螺 线管线圈的结构参数, 表 2 为该应用实施例最终得到的 MRI超导磁体 系统的结构参数:  13 is a magnetic field intensity distribution diagram of a coil system generated in a space in the application embodiment shown in FIG. 3, wherein the magnetic field distribution in the coil system has symmetry, and FIG. 14 is an inner layer in the coil system of the application embodiment shown in FIG. The distribution of the spatial magnetic field strength in the solenoid coil closest to the end. It can be seen from Fig. 13 and Fig. 14 that the highest magnetic field in the coil system (i.e., the magnetic field with the highest magnetic field strength) is located in the spiral line 端 at the end of the inner layer, and the maximum magnetic field strength is 4.9127T. Table 1 shows the structural parameters of each solenoid coil in the MRI superconducting magnet system corresponding to the application embodiment shown in Fig. 3. Table 2 shows the structural parameters of the MRI superconducting magnet system finally obtained in the application example:
表 1 螺线管线圏的结构参数  Table 1 Structural parameters of the spiral line
Figure imgf000025_0001
Figure imgf000025_0001
MRI超导磁体系统的结构参数
Figure imgf000025_0002
磁体外直径 1.60m
Structural parameters of MRI superconducting magnet system
Figure imgf000025_0002
The outer diameter of the magnet is 1.60m
磁体长度 1.15m  Magnet length 1.15m
成像球域直径 /均匀度 500mm/10ppm  Imaging sphere diameter / uniformity 500mm/10ppm
杂散场强度 /椭球范围 5Gauss/4mx5m  Stray field strength / ellipsoid range 5Gauss/4mx5m
运行电流 670.62A  Operating current 670.62A
运行电流密度 148MA/m2 Operating current density 148MA/m 2
线圈中最高磁场 4.9I27T  The highest magnetic field in the coil 4.9I27T
电流安全欲度 70.35%  Current safety desire 70.35%
超导线用量 1.2871t  Super wire usage 1.2871t
OST:  OST:
超导线规格  Super wire specification
2.56mm*1.77mm 950A@7T 本领域普通技术人员可以理解: 可能以许多方式来实现本发明各 实施例的方法。 例如, 可通过软件、 硬件、 固件或者软件、 硬件、 固 件的任何组合来实现本发明实施例的方法。 所述方法中操作的上述顺 序仅是为了进行说明, 本发明的实施例方法的操作顺序不限于以上具 体描述的顺序, 除非以其它方式特别说明。 此外, 在一些实施例中, 实现上述方法实施例的全部或部分操作可以通过程序指令相关的硬件来 完成, 前述的程序包括用于实现根据本发明的方法的机器可读指令, 可 以存储于一计算机可读取存储介质中, 该程序在执行时, 执行包括上述 方法实施例的步骤; 还可将本发明实施为记录在记录介质中的程序, 这 些程序包括用于实现根据本发明的方法的机器可读指令。 因而, 本发明 还覆盖存储用于执行根据本发明的方法的程序的存储介质。 而前迷的存 储介质包括: ROM、 RAM, 磁碟或者光盘等各种可以存储程序代码的 介质。  2.56 mm * 1.77 mm 950A @ 7T It will be understood by one of ordinary skill in the art that the methods of the various embodiments of the present invention may be implemented in a number of ways. For example, the method of an embodiment of the present invention can be implemented by software, hardware, firmware, or any combination of software, hardware, and firmware. The above-described order of operation in the method is for illustrative purposes only, and the order of operation of the method of the embodiments of the present invention is not limited to the order specifically described above unless otherwise specifically stated. In addition, in some embodiments, all or part of the operations of implementing the above method embodiments may be performed by hardware associated with the program instructions, the foregoing program including machine readable instructions for implementing the method according to the present invention, which may be stored in a The computer readable storage medium, the program, when executed, performs the steps comprising the above-described method embodiments; the invention may also be embodied as a program recorded in a recording medium, the program comprising means for implementing the method according to the invention. Machine readable instructions. Thus, the invention also covers a storage medium storing a program for performing the method according to the invention. Previous storage media include: ROM, RAM, disk or optical disk, and other media that can store program code.
例如, 通过软件、 硬件、 固件或者软件、 硬件、 固件的任何组合 来实现本发明 MRI超导磁体系统结构参数的获取方法时, 具体可以通 过以下方式实现:  For example, when the method for acquiring the structural parameters of the MRI superconducting magnet system of the present invention is implemented by software, hardware, firmware or any combination of software, hardware, and firmware, the method can be specifically implemented by:
首先, 输入 MRI 超导磁体系统的制作需求参数, 例如, 包括但不 限于中心磁场强度、 DSV大小、 磁场 值均匀度要求、 5 高斯杂散场 要求、 线圈系统的空间范围、 给定线圈系统的运行电流密度、 电流安全 裕度; First, enter the production requirements parameters of the MRI superconducting magnet system, for example, including but not Limited to central magnetic field strength, DSV size, magnetic field value uniformity requirement, 5 Gaussian stray field requirements, spatial extent of the coil system, operating current density of a given coil system, current safety margin;
其次, 根据 MRI超导磁体系统的制作需求参数通过线性规划算法 与非线性优化算法进行循环迭代计算, 获得满足 MRI超导磁体系统的 制作需求的线圏系统的结构参数, 该过程分为线性规划过程和非线性优 化过程两个步骤。  Secondly, according to the production demand parameters of the MRI superconducting magnet system, the loop iterative calculation is performed by the linear programming algorithm and the nonlinear optimization algorithm, and the structural parameters of the coil system satisfying the production requirements of the MRI superconducting magnet system are obtained. The process is divided into linear programming. Process and nonlinear optimization process two steps.
第一步骤中, 执行 101 - 102或者 201 ~ 202的操作, 线性规划算法 中的待优化变量为欲布置线圏系统的空间范围内各网格处的电流值, 目 标函数为所有网格处螺线管线圏的总体积, 通过线性规划算法进行循环 迭代计算, 若目标点处的磁场不满足第一约束条件, 线性规划算法自动 调整所有待优化变量 (即: 各网格处的电流值) 并进行下一次迭代计 算, 直到所有目标点处的磁场满足第一约束条件且所有网格处所代表的 螺线管线圏的总体积最小时, 停止迭代计算, 得到待优化变量的最优 解, 该待优化变量的最优解形成各网格处的电流分布图。  In the first step, the operation of 101 - 102 or 201 ~ 202 is performed, and the variable to be optimized in the linear programming algorithm is the current value at each mesh in the spatial range of the system to be arranged, and the objective function is the snail at all the grids. The total volume of the line pipeline , is cyclically iteratively calculated by a linear programming algorithm. If the magnetic field at the target point does not satisfy the first constraint condition, the linear programming algorithm automatically adjusts all variables to be optimized (ie, the current values at each grid) and Perform the next iteration calculation until the magnetic field at all target points satisfies the first constraint and the total volume of the spiral line 代表 represented by all the grids is the smallest, stop the iterative calculation, and obtain the optimal solution of the variable to be optimized. The optimal solution of the optimization variables forms a current distribution map at each grid.
采用线性规划算法进行循环迭代计算时, 具体可以基于螺线管线圈 的总体积的收敛特性, 进行预设次数的迭代计算, 例如, 迭代计算 150 次, 从中选择满足第一约束奈件且所有网格处所代表的螺线管线圈的总 体积最小的电流值形成电流分布图。  When the linear iterative algorithm is used for loop iterative calculation, the iterative calculation of the preset number of times can be performed based on the convergence characteristic of the total volume of the solenoid coil. For example, iterative calculation is performed 150 times, and the first constraint is satisfied and all the networks are selected. The current value of the smallest volume of the solenoid coil represented by the grid forms a current profile.
第二步骤中, 根据第一步得到的各网格处的电流分布图, 将非零电 流簇处转换为螺线管线圏, 分别将每个非零电流簇的总电流和空间位置 作为相对应的螺线圈线圈的初始总电流和初始位置, 执行 103 或者 203 ~ 204的操作, 非线性优化算法中的待优化变量为每个螺线管线圈的 内、 外半径和两个端部的轴向位置, 目标函数为所有网格处螺线管线圏 的总体积。  In the second step, according to the current distribution map at each grid obtained in the first step, the non-zero current cluster is converted into a spiral pipeline 圏, and the total current and spatial position of each non-zero current cluster are respectively corresponding. The initial total current and initial position of the solenoid coil, performing 103 or 203 ~ 204 operation, the variables to be optimized in the nonlinear optimization algorithm are the inner and outer radii of each solenoid coil and the axial directions of the two ends Position, the objective function is the total volume of the spiral line 所有 at all grids.
通过非线性优化算法进行循环迭代计算, 若第二约束条件不满足, 则非线性优化算法在欲布置线圏系统的空间范围内自动调整各螺线管线 圏的尺寸和位置参数进行下一步迭代计算, 直到第二约束条件中的各条 件均满足且所有螺线管线圈的总体积最小, 输出各螺线管线圈的内、 外 半径和两个端部的轴向位置, 从而获得线圈系统的最终结构参数。 The loop iterative calculation is performed by the nonlinear optimization algorithm. If the second constraint is not satisfied, the nonlinear optimization algorithm automatically adjusts the size and position parameters of each spiral pipeline within the spatial range of the system to be arranged for the next iterative calculation. , until the conditions in the second constraint are satisfied and the total volume of all the solenoid coils is the smallest, outputting the inside and outside of each solenoid coil The radius and the axial position of the two ends provide the final structural parameters of the coil system.
采用非线性优化算法进行循环迭代计算时, 具体可以基于螺线管线 圈的总体积的收敛特性, 进行预设次数的迭代计算, 例如, 迭代计算 When the loop optimization calculation is performed by the nonlinear optimization algorithm, the iterative calculation of the preset number of times can be performed based on the convergence characteristic of the total volume of the spiral pipeline circle, for example, iterative calculation
300 次, 从中选择满足第二约束条件且所有网格处所代表的螺线管线圏 的总体积最小的各螺线管线图的内、 外半径和两个端部的轴向位置。 300 times, from which the inner and outer radii of the respective spiral line diagrams and the axial positions of the two end portions satisfying the second constraint and having the smallest total volume of the solenoid line 代表 represented by all the grids are selected.
根据线圏系统的最终结构参数, 可建造出满足制作需求的 MRI 超 导磁体系统。  Based on the final structural parameters of the coil system, an MRI superconducting magnet system can be constructed to meet the production requirements.
图 15为根据本发明一个实施例 MRI超导磁体系统结构参数的获取 装置的示意性框图。 该实施例的获取装置可用于实现本发明上述各 MRI超导磁体系统结构参数的获取方法实施例的流程。 如图 15所示, 其包括接收单元 301、 划分单元 302、 第一计算单元 303 与第二计算单 元 304。  Figure 15 is a schematic block diagram of an apparatus for acquiring structural parameters of an MRI superconducting magnet system according to an embodiment of the present invention. The obtaining device of this embodiment can be used to implement the flow of the embodiment of the method for acquiring structural parameters of each of the above MRI superconducting magnet systems of the present invention. As shown in FIG. 15, it includes a receiving unit 301, a dividing unit 302, a first calculating unit 303, and a second calculating unit 304.
接收单元 301, 用于接收欲布置线圈系统的空间范围信息、 第一预 设磁场峰峰值均匀度、 5 高斯杂散场的椭球体表面上各目标点处的磁场 强度值的限制条件、 运行电流密度奈件、 超导磁体系统设计要求中的第 二预设磁场峰峰值均匀度限制条件、 5 高斯杂散场的椭球体表面上各目 标点处的磁场强度值限制条件、 线圏系统中的最高磁场强度值限制条 件、 线圏系统运行的电流安全裕度限制条件。 其中, 第一预设磁场峰峰 值均匀度大于或等于第二预设磁场 值均匀度。  The receiving unit 301 is configured to receive spatial range information of the coil system to be arranged, a first predetermined magnetic field peak-to-peak uniformity, a limitation condition of a magnetic field strength value at each target point on an ellipsoid surface of a 5 Gaussian stray field, and an operating current density The second preset magnetic field peak-to-peak uniformity limit condition in the design requirements of the nano-superconducting magnet system, the magnetic field strength value limit condition at each target point on the surface of the ellipsoid of the 5 Gaussian stray field, and the highest magnetic field in the coil system Strength value limits, current safety margin limits for line system operation. The first predetermined magnetic field peak-to-peak value uniformity is greater than or equal to the second preset magnetic field value uniformity.
划分单元 302, 用于对欲布置线圈系统的空间范围进行连续网格划 分, 划分得到的每个网格视为一个电流圓环, 各电流圆环的电流值包括 正值、 负值或者零; 以及按照预设标准将超导磁体系统的 DSV表面和 5 高斯杂散场的椭球体表面均匀划分为若千个目标点。  The dividing unit 302 is configured to perform continuous meshing on the spatial extent of the coil system to be arranged, and each divided grid is regarded as a current ring, and the current value of each current ring includes a positive value, a negative value or zero; And according to the preset standard, the DSV surface of the superconducting magnet system and the ellipsoid surface of the 5 Gaussian stray field are evenly divided into thousands of target points.
第一计算单元 303, 用于以 DSV表面上各目标点处的磁场峰峰值均 匀度不大于第一预设磁场峰峰值均匀度、 5 高斯杂散场的椭球体表面上 各目标点处的磁场强度值的限制奈件为第一约束条件, 通过线性规划算 法计算在给定运行电流密度条件下使得线圏系统体积最小的各网格处的 电流分布, 得到电流分布图。  The first calculating unit 303 is configured to: the magnetic field peak-to-peak uniformity at each target point on the surface of the DSV is not greater than the first predetermined magnetic field peak-to-peak uniformity, and the magnetic field strength at each target point on the surface of the ellipsoid of the 5 Gaussian stray field The value constraint is the first constraint. The current distribution map is obtained by linear programming algorithm to calculate the current distribution at each grid which minimizes the volume of the coil system under a given operating current density.
第二计算单元 304, 用于分别以电流分布图中不为零的电流值的数 目和空间位置, 作为线圈系统中螺线管线圈的数量和初始位置; 以第二 预设磁场峰峰值均匀度限制条件、 5 高斯杂散场的椭球体表面上各目标 点处的磁场强度值限制条件、 线图系统中的最高磁场强度值限制奈件、 线圈系统运行的电流安全裕度限制条件为第二约束条件, 通过非线性优 化算法计算线圈系统体积最小时各螺线管线圈的尺寸和位置参数, 获得 线圏系统的最终结构参数。 其中, 各螺线管线圈的尺寸和位置参数包括 各螺线管线圈的内半径、 外半径、 与两个端部的轴向位置。 a second calculating unit 304, configured to respectively use the number of current values that are not zero in the current distribution map Head and space position, as the number and initial position of the solenoid coil in the coil system; limit of the magnetic field strength at each target point on the surface of the ellipsoid with 5 Gaussian stray field with the second preset magnetic field peak-to-peak uniformity limit condition The condition of the highest magnetic field strength in the line graph system limits the current safety margin limit of the coil system operation as the second constraint condition. The size of each solenoid coil is calculated by the nonlinear optimization algorithm when the volume of the coil system is the smallest. The positional parameter, the final structural parameters of the coil system are obtained. Wherein, the size and position parameters of each solenoid coil include an inner radius, an outer radius, and an axial position of the two end portions of each solenoid coil.
根据本发明 MRI超导磁体系统结构参数的获取装置的一个具体示 例而非限制, 欲布置线圏系统的空间范围具体为一个具有矩形截面的螺 线管形状的区域, 该区域的范围由矩形截面的参数决定, 矩形截面的参 数包括矩形截面的内径、 外径以及长度。 相应地, 划分单元 302对欲布 置线图系统的空间范围进行连续网格划分时, 具体可以对矩形截面分别 在径向和轴向进行二维连续网格划分, 将矩形截面沿着径向和轴向方向 分别划分为若干等份, 形成二维连续空间网格。  According to a specific example of the apparatus for obtaining structural parameters of the MRI superconducting magnet system according to the present invention, and not by limitation, the spatial extent of the coil system to be arranged is specifically a solenoid-shaped region having a rectangular cross section, the range of which is rectangular The parameters of the rectangular section determine the inner diameter, outer diameter and length of the rectangular section. Correspondingly, when the dividing unit 302 performs continuous meshing on the spatial extent of the line graph system to be arranged, the two-dimensional continuous meshing may be performed on the rectangular cross-section in the radial direction and the axial direction, respectively, and the rectangular cross-section is along the radial direction. The axial directions are divided into several equal parts to form a two-dimensional continuous space grid.
根据本发明 MRI超导磁体系统结构参数的获取装置的另一个具体 示例而非限制, 电流分布图给出了各网格处的电流大小和方向, 网格处 不为零的电流值聚集在一起形成边界清晰的非零电流簇。 其中, 非零电 流簇的每个正值位置分别用于布置一个正向电流螺线管线圏, 每个负值 位置分别用于布置一个反向电流螺线管线圏。  Another specific example of the apparatus for obtaining structural parameters of the MRI superconducting magnet system according to the present invention, without limitation, the current distribution diagram gives the magnitude and direction of the current at each grid, and the non-zero current values at the grid are gathered together. Form a clear, non-zero current cluster. Wherein, each positive position of the non-zero current cluster is used to arrange a forward current solenoid line 圏, and each negative value position is used to arrange a reverse current solenoid line 分别, respectively.
根据本发明 MRI超导磁体系统结构参数的获取装置的另一个具体 示例而非限制, 第二约束奈件包括:  According to another specific example of the apparatus for acquiring structural parameters of the MRI superconducting magnet system according to the present invention, the second constraint includes:
DSV表面上各目标点处的轴向磁场的磁场峰峰值均匀度不大于第二 预设磁场 值均匀度;  The peak-to-peak uniformity of the magnetic field of the axial magnetic field at each target point on the surface of the DSV is not greater than the uniformity of the second predetermined magnetic field value;
5 高斯杂散场的椭球体表面上各目标点处的轴向磁场和径向磁场的 叠加磁场强度不大于预设磁场强度;  5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength;
线圈系统运行的电流安全裕度不大于预设电流安全裕度, 该预设电 流安全裕度由线圈系统中的最高磁场强度值与线圏系统所选用的超导线 的临界特性计算得到;  The current safety margin of the coil system operation is not greater than the preset current safety margin, and the preset current safety margin is calculated from the highest magnetic field strength value in the coil system and the critical characteristic of the superconducting wire selected by the coil system;
线圏系统中相邻螺线管线圏之间的间距大于预设间距; 各螺线管线圏的尺寸和位置参数使线圈系统位于欲布置线圏系统的 空间范围内。 The spacing between adjacent spiral lines in the turns system is greater than the preset spacing; The size and positional parameters of each solenoid line 使 place the coil system within the spatial extent of the system in which the coil is to be placed.
示例性地, 5 高斯杂散场的椭球体表面上各目标点处的磁场强度值 的限制奈件可以是: 5 高斯杂散场的椭球体表面上各目标点处的磁场强 度值不大于 5高斯;  Illustratively, the limiting value of the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field may be: 5 The magnetic field strength value at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss;
5 高斯杂散场的椭球体表面上各目标点处的轴向磁场和径向磁场的 叠加磁场强度不大于预设磁场强度可以是: 5 高斯杂散场的椭球体表面 上各目标点处的轴向磁场和径向磁场的叠加磁场强度不大于 5高斯。  5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength, which may be: 5 The axial direction at each target point on the surface of the ellipsoid of the Gaussian stray field The superposed magnetic field strength of the magnetic field and the radial magnetic field is not more than 5 Gauss.
示例性地, 第二计算单元 304还可以用于才艮据预先设定的线圈系统 中的最高磁场强度值与线囤系统所选用的超导线的临界特性, 计算线圏 系统运行的电流安全裕度。  Exemplarily, the second calculating unit 304 can also be used to calculate the current safety margin of the coil system operation according to the highest magnetic field strength value in the preset coil system and the critical characteristic of the superconducting wire selected by the coil system. degree.
本发明实施例还提供了一种 MRI超导磁体系统, 该 MRI超导磁体 系统的结构参数具体可以通过本发明上述任一 MRI超导磁体系统结构 参数的获取方法获取。  The embodiment of the present invention further provides an MRI superconducting magnet system, and the structural parameters of the MRI superconducting magnet system can be obtained by the method for acquiring structural parameters of any of the MRI superconducting magnet systems of the present invention.
本说明书中各个实施例均采用递进的方式描述, 每个实施例重点说 明的都是与其它实施例的不同之处, 各个实施例之间相同或相似的部分 相互参见即可。 对于 MRI超导磁体系统结构参数的获取装置、 MRI超 导磁体系统实施例而言, 由于其与方法实施例基本对应, 所以描述的比 较简单, 相关之处参见方法实施例的部分说明即可。  The various embodiments in the specification are described in a progressive manner, and each embodiment is focused on differences from the other embodiments, and the same or similar parts between the various embodiments may be referred to each other. For the MRI superconducting magnet system structural parameter acquisition device and the MRI superconducting magnet system embodiment, since it basically corresponds to the method embodiment, the description is relatively simple, and the relevant parts can be referred to the description of the method embodiment.
本发明的描述是为了示例和描述起见而给出的, 而并不是无遗漏的 或者将本发明限于所公开的形式。 很多修改和变化对于本领域的普通技 术人员而言是显然的。 选择和描述实施例是为了更好说明本发明的原理 和实际应用, 并且使本领域的普通技术人员能够理解本发明从而设计适 于特定用途的带有各种修改的各种实施例。  The description of the present invention has been presented for purposes of illustration and description. Many modifications and variations will be apparent to those of ordinary skill in the art. The embodiment was chosen and described in order to best explain the principles of the invention and the embodiments of the invention.

Claims

权 利 要 求 Rights request
1、 一种磁共振成像超导磁体系统结构参数的获取方法, 其特征在 于, 包括: A method for acquiring structural parameters of a magnetic resonance imaging superconducting magnet system, characterized in that:
对欲布置线圏系统的空间范围进行连续网格划分, 划分得到的每个 网格视为一个电流圆环, 各电流圓环的电流值包括正值、 负值或者零; 以及按照预设标准将超导磁体系统的球形成像区域表面和 5高斯杂散场 的椭球体表面均匀划分为若干个目标点;  Continuously meshing the spatial extent of the system to be arranged, each grid obtained by the division is regarded as a current ring, and the current value of each current ring includes positive value, negative value or zero; and according to preset standards The surface of the spherical imaging region of the superconducting magnet system and the surface of the ellipsoid of the 5 Gaussian stray field are evenly divided into a plurality of target points;
以球形成像区域表面上各目标点处的磁场 值均匀度不大于第一 预设磁场峰峰值均勾度、 5 高斯杂散场的椭球体表面上各目标点处的磁 场强度值的限制条件为第一约束条件, 通过线性规划算法计算在给定运 行电流密度条件下使得线圏系统体积最小的各网格处的电流分布, 得到 电流分布图; 所述第一预设磁场 值均匀度大于或等于超导磁体系统 设计要求中的第二预设磁场 值均匀度;  The limitation of the magnetic field value at each target point on the surface of the spherical imaging region is not greater than the first predetermined magnetic field peak-to-peak uniformity, and the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field is a constraint condition, wherein a current distribution map is obtained by calculating a current distribution at each grid that minimizes the volume of the coil system under a given operating current density condition; and the first predetermined magnetic field value uniformity is greater than or equal to The second predetermined magnetic field value uniformity in the design requirements of the superconducting magnet system;
分别以电流分布图中不为零的电流值的数目和空间位置, 作为线圏 系统中螺线管线圈的数量和初始位置;  The number and spatial position of the non-zero current values in the current distribution diagram are respectively taken as the number and initial position of the solenoid coils in the coil system;
以超导磁体系统设计要求中的第二预设磁场峰峰值均勾度限制奈 件、 5 高斯杂散场的椭球体表面上各目标点处的磁场强度值限制奈件、 线圈系统中的最高磁场强度值限制条件、 线圏系统运行的电流安全裕度 限制条件为第二约束条件, 通过非线性优化算法计算线圏系统体积最小 时各螺线管线圏的尺寸和位置参数, 获得线圏系统的最终结构参数; 其 中, 各螺线管线圈的尺寸和位置参数包括各螺线管线圈的内半径、 外半 径、 与两个端部的轴向位置。  In the superconducting magnet system design requirements, the second preset magnetic field peak-to-peak uniformity limit is limited to the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field, and the highest magnetic field in the coil system The limit value of the strength value and the current safety margin limit of the operation of the coil system are the second constraint conditions. The size and position parameters of each spiral line 时 are calculated by the nonlinear optimization algorithm when the volume of the coil system is minimum, and the loop system is obtained. The final structural parameters; wherein the size and positional parameters of each solenoid coil include the inner radius, the outer radius of each solenoid coil, and the axial position of the two ends.
2、 根据权利要求 1 所述的方法, 其特征在于, 所述欲布置线圏系 统的空间范围具体为一个具有矩形截面的螺线管形状的区域, 该区域的 范围由矩形截面的参数决定, 所述矩形截面的参数包括矩形截面的内 径、 外径以及长度;  2. The method according to claim 1, wherein the spatial extent of the coil system to be arranged is specifically a solenoid-shaped region having a rectangular cross section, and the extent of the region is determined by parameters of the rectangular cross section. The parameters of the rectangular cross section include an inner diameter, an outer diameter, and a length of a rectangular cross section;
对欲布置线圏系统的空间范围进行连续网格划分包括: 对所述矩形 截面分别在径向和轴向进行连续网格划分。 Continuous meshing of the spatial extent of the system in which the coil is to be arranged includes: performing continuous meshing of the rectangular sections in the radial and axial directions, respectively.
3、 根椐权利要求 2 所述的方法, 其特征在于, 对所述矩形截面分 别在径向和轴向进行连续网格划分包括: 对所述矩形截面分别在径向和 轴向进行二维连续网格划分, 将所述矩形截面沿着径向和轴向方向分别 划分为若干等份, 形成二维连续空间网格。 3. The method of claim 2, wherein continuously dividing the rectangular cross section in the radial direction and the axial direction comprises: performing two-dimensionally on the rectangular cross section in the radial direction and the axial direction, respectively With continuous meshing, the rectangular cross section is divided into several equal parts along the radial and axial directions to form a two-dimensional continuous space mesh.
4、 根据权利要求 1 所述的方法, 其特征在于, 所述电流分布图给 出了各网格处的电流大小和方向, 网格处不为零的电流值聚集在一起形 成边界清晰的非零电流簇。  4. The method according to claim 1, wherein the current distribution map gives the magnitude and direction of the current at each grid, and the non-zero current values at the grid are gathered together to form a clear boundary. Zero current cluster.
5、 根据权利要求 4 所述的方法, 其特征在于, 根据非零电流簇在 空间范围内的分布情况, 分别将一个正向电流螺线管线圏布置于非零电 流簇的每个正值位置, 分别将一个反向电流螺线管线圈布置于非零电流 簇的每个负值位置。  5. The method according to claim 4, wherein a forward current spiral line 圏 is arranged at each positive position of the non-zero current cluster according to a distribution of the non-zero current clusters in a spatial range. , respectively, a reverse current solenoid coil is placed at each negative position of the non-zero current cluster.
6、 根据权利要求 1至 4任意一项所迷的方法, 其特征在于, 5高斯 杂散场的椭球体表面上各目标点处的磁场强度值的限制条件包括: 5 高 斯杂散场的椭球体表面上各目标点处的磁场强度值不大于 5高斯。  6. A method according to any one of claims 1 to 4, characterized in that the limiting conditions of the magnetic field strength values at the respective target points on the surface of the ellipsoid of the 5 Gaussian stray field include: 5 ellipsoidal surface of the Gaussian stray field The value of the magnetic field strength at each of the upper target points is not more than 5 Gauss.
7、 根据权利要求 1 至 4任意一项所述的方法, 其特征在于, 第二 约束条件包括:  The method according to any one of claims 1 to 4, wherein the second constraint comprises:
球形成像区域表面上各目标点处的轴向磁场的磁场峰峰值均匀度不 大于第二预设磁场 值均匀度;  The peak-to-peak uniformity of the magnetic field of the axial magnetic field at each target point on the surface of the spherical imaging region is not greater than the uniformity of the second predetermined magnetic field value;
5 高斯杂散场的椭球体表面上各目标点处的轴向磁场和径向磁场的 叠加磁场强度不大于预设磁场强度;  5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength;
线圏系统运行的电流安全裕度不大于预设电流安全裕度, 所述预设 电流安全裕度由线圏系统中的最高磁场强度值与线圏系统所选用的超导 线的临界特性计算得到;  The current safety margin of the coil system operation is not greater than a preset current safety margin calculated from the highest magnetic field strength value in the coil system and the critical characteristic of the superconducting wire selected by the coil system. ;
线圏系统中相邻螺线管线圏之间的间距大于预设间距;  The spacing between adjacent spiral lines in the turns system is greater than the preset spacing;
各螺线管线圏的尺寸和位置参数使线圈系统位于所述欲布置线圏系 统的空间范围内。  The size and positional parameters of each of the solenoid lines 使 cause the coil system to be within the spatial extent of the line system to be placed.
8、 4艮据权利要求 7所述的方法, 其特征在于, 5高斯杂散场的椭球 体表面上各目标点处的轴向磁场和径向磁场的叠加磁场强度不大于预设 磁场强度包括: 5 高斯杂散场的椭球体表面上各目标点处的轴向磁场和径向磁场的 叠加磁场强度不大于 5高斯。 8. The method according to claim 7, wherein the superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the 5 Gaussian stray field is not greater than the preset magnetic field strength, including: 5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not more than 5 Gauss.
9、 根据权利要求 7所述的方法, 其特征在于, 还包括:  9. The method according to claim 7, further comprising:
根据预先设定的线圏系统中的最高磁场强度值与线圏系统所选用的 超导线的临界特性, 获取线圏系统运行的电流安全裕度。  The current safety margin of the coil system operation is obtained based on the highest magnetic field strength value in the preset coil system and the critical characteristics of the superconducting wire selected by the coil system.
10、 一种磁共振成像超导磁体系统结构参数的获取装置, 其特征在 于, 包括:  10. A device for acquiring structural parameters of a magnetic resonance imaging superconducting magnet system, characterized in that:
接收单元, 用于接收欲布置线圈系统的空间范围信息、 第一预设磁 场峰峰值均匀度、 5 高斯杂散场的椭球体表面上各目标点处的磁场强度 值的限制条件、 运行电流密度奈件、 超导磁体系统设计要求中的第二预 设磁场峰峰值均匀度限制条件、 5 高斯杂散场的椭球体表面上各目标点 处的磁场强度值限制奈件、 线圈系统中的最高磁场强度值限制条件、 线 圏系统运行的电流安全裕度限制条件; 所述第一预设磁场峰峰值均匀度 大于或等于所述第二预设磁场1^值均匀度; a receiving unit, configured to receive spatial range information of the coil system to be arranged, a first predetermined magnetic field peak-to-peak uniformity, a limit condition of a magnetic field strength value at each target point on an ellipsoid surface of a 5 Gaussian stray field, and an operating current density The second preset magnetic field peak-to-peak uniformity limit condition in the design requirements of the superconducting magnet system, the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field, and the highest magnetic field strength in the coil system a value limit condition, a current safety margin limit condition of the coil system operation; the first preset magnetic field peak-to-peak uniformity is greater than or equal to the second preset magnetic field 1 ^ value uniformity;
划分单元, 用于对欲布置线圈系统的空间范围进行连续网格划分, 划分得到的每个网格视为一个电流圓环, 各电流圓环的电流值包括正 值、 负值或者零; 以及按照预设标准将超导磁体系统的球形成像区域表 面和 5高斯杂散场的椭球体表面均匀划分为若干个目标点;  a dividing unit, configured to perform continuous meshing on a spatial range of the coil system to be arranged, each divided grid is regarded as a current ring, and the current value of each current ring includes a positive value, a negative value or zero; According to a preset standard, the surface of the spherical imaging region of the superconducting magnet system and the surface of the ellipsoid of the 5 Gaussian stray field are evenly divided into a plurality of target points;
第一计算单元, 用于以球形成像区域表面上各目标点处的磁场峰峰 值均匀度不大于第一预设磁场峰峰值均匀度、 5 高斯杂散场的椭球体表 面上各目标点处的磁场强度值的限制条件为第一约束条件, 通过线性规 划算法计算在给定运行电流密度条件下使得线圏系统体积最小的各网格 处的电流分布, 得到电流分布图;  a first calculating unit, configured to: the magnetic field peak-to-peak uniformity at each target point on the surface of the spherical imaging region is not greater than the first predetermined magnetic field peak-to-peak uniformity, and the magnetic field at each target point on the surface of the ellipsoid of the 5 Gaussian stray field The constraint condition of the intensity value is a first constraint condition, and a current distribution map is obtained by a linear programming algorithm for calculating a current distribution at each grid which minimizes the volume of the coil system under a given operating current density condition;
第二计算单元, 用于分别以电流分布图中不为零的电流值的数目和 空间位置, 作为线圏系统中螺线管线圏的数量和初始位置; 以第二预设 磁场峰峰值均匀度限制奈件、 5 高斯杂散场的椭球体表面上各目标点处 的磁场强度值限制奈件、 线圏系统中的最高磁场强度值限制奈件、 线圈 系统运行的电流安全裕度限制条件为第二约束条件, 通过非线性优化算 法计算线圏系统体积最小时各螺线管线圏的尺寸和位置参数, 获得线圈 系统的最终结构参数; 其中, 各螺线管线圏的尺寸和位置参数包括各螺 线管线图的内半径、 外半径、 与两个端部的轴向位置。 a second calculating unit, configured to respectively use the number and spatial position of the non-zero current values in the current distribution map as the number and initial position of the solenoid line 圏 in the coil system; and the second predetermined magnetic field peak-to-peak uniformity Limiting the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 gaussian stray field, limiting the maximum magnetic field strength value in the line and the 圏 system, and limiting the current safety margin of the coil system operation. The second constraint condition is obtained by calculating the size and position parameters of each spiral line 时 when the volume of the coil system is minimum by a nonlinear optimization algorithm. The final structural parameters of the system; wherein the size and positional parameters of each spiral line include the inner radius, the outer radius, and the axial positions of the two end portions of each spiral line diagram.
11、 根据权利要求 10 所述的装置, 其特征在于, 所述欲布置线圈 系统的空间范围具体为一个具有矩形截面的螺线管形状的区域, 该区域 的范围由矩形截面的参数决定, 所述矩形截面的参数包括矩形截面的内 径、 外径以及长度;  The device according to claim 10, wherein the spatial extent of the coil system to be arranged is specifically a solenoid-shaped region having a rectangular cross section, and the range of the region is determined by parameters of the rectangular cross section. The parameters of the rectangular section include the inner diameter, the outer diameter and the length of the rectangular section;
所迷划分单元对欲布置线圏系统的空间范围进行连续网格划分时, 具体对所述矩形截面分别在径向和轴向进行二维连续网格划分, 将所述 矩形截面沿着径向和轴向方向分別划分为若干等份, 形成二维连续空间 网格。  When the dividing unit performs continuous meshing on the spatial extent of the wire loop system to be arranged, the rectangular cross section is respectively subjected to two-dimensional continuous mesh division in the radial direction and the axial direction, and the rectangular cross section is along the radial direction. And the axial direction is divided into several equal parts to form a two-dimensional continuous space grid.
12、 根据权利要求 10 所述的装置, 其特征在于, 所述电流分布图 给出了各网格处的电流大小和方向, 网格处不为零的电流值聚集在一起 形成边界清晰的非零电流簇;  12. The device according to claim 10, wherein the current distribution map gives the magnitude and direction of the current at each grid, and the non-zero current values at the grid are gathered together to form a clear boundary. Zero current cluster
非零电流簇的每个正值位置分别用于布置一个正向电流螺线管线 圏, 每个负值位置分别用于布置一个反向电流螺线管线圈。  Each positive position of the non-zero current cluster is used to arrange a forward current solenoid line 分别, and each negative position is used to arrange a reverse current solenoid coil, respectively.
13、 根据权利要求 10至 12任意一项所述的装置, 其特征在于, 第 二约束条件包括:  13. Apparatus according to any one of claims 10 to 12 wherein the second constraint comprises:
球形成像区域表面上各目标点处的轴向磁场的磁场峰峰值均匀度不 大于第二预设磁场 值均匀度;  The peak-to-peak uniformity of the magnetic field of the axial magnetic field at each target point on the surface of the spherical imaging region is not greater than the uniformity of the second predetermined magnetic field value;
5 高斯杂散场的椭球体表面上各目标点处的轴向磁场和径向磁场的 叠加磁场强度不大于预设磁场强度;  5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength;
线圈系统运行的电流安全裕度不大于预设电流安全裕度, 所述预设 电流安全裕度由线圏系统中的最高磁场强度值与线圈系统所选用的超导 线的临界特性计算得到;  The current safety margin of the coil system operation is not greater than a preset current safety margin calculated from the highest magnetic field strength value in the coil system and the critical characteristic of the superconducting wire selected by the coil system;
线圈系统中相邻螺线管线圏之间的间距大于预设间距;  The spacing between adjacent spiral conduits in the coil system is greater than a predetermined spacing;
各螺线管线圈的尺寸和位置参数使线圏系统位于所述欲布置线圈系 统的空间范围内。  The size and positional parameters of each solenoid coil are such that the coil system is within the spatial extent of the coil system to be placed.
14、 根据权利要求 13所述的装置, 其特征在于, 5高斯杂散场的椭 球体表面上各目标点处的磁场强度值的限制条件包括: 5 高斯杂散场的 椭球体表面上各目标点处的磁场强度值不大于 5高斯; 14. The apparatus according to claim 13, wherein the limiting condition of the magnetic field strength value at each target point on the surface of the ellipsoid of the 5 Gaussian stray field comprises: 5 Gaussian stray field The value of the magnetic field strength at each target point on the surface of the ellipsoid is not more than 5 Gauss;
5 高斯杂散场的椭球体表面上各目标点处的轴向磁场和径向磁场的 叠加磁场强度不大于预设磁场强度包括: 5 高斯杂散场的椭球体表面上 各目标点处的轴向磁场和径向磁场的叠加磁场强度不大于 5高斯。  5 The superimposed magnetic field strength of the axial magnetic field and the radial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field is not greater than the preset magnetic field strength including: 5 The axial magnetic field at each target point on the surface of the ellipsoid of the Gaussian stray field The superimposed magnetic field strength with the radial magnetic field is not more than 5 Gauss.
15、 根据权利要求 13 所述的装置, 其特征在于, 笫二计算单元还 用于根据预先设定的线圈系统中的最高磁场强度值与线圏系统所选用的 超导线的临界特性, 获取线圈系统运行的电流安全裕度。  15. The apparatus according to claim 13, wherein the second calculating unit is further configured to obtain the coil according to a maximum magnetic field strength value in a preset coil system and a critical characteristic of the superconducting wire selected by the coil system. The current safety margin of the system operation.
16、 一种磁共振成像超导磁体系统, 其特征在于, 所述磁共振成像 超导磁体系统的结构参数通过权利要求 1至 9任意一项所述磁共振成像 超导磁体系统结构参数的获取方法获取。  16. A magnetic resonance imaging superconducting magnet system, characterized in that the structural parameters of the magnetic resonance imaging superconducting magnet system are obtained by the structural parameters of the magnetic resonance imaging superconducting magnet system according to any one of claims 1 to 9. Method to get.
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