WO2018188393A1 - Procédé et système linéarisés de détermination pour un flux de puissance d'un réseau électrique souple à courant continu, et support de stockage informatique - Google Patents
Procédé et système linéarisés de détermination pour un flux de puissance d'un réseau électrique souple à courant continu, et support de stockage informatique Download PDFInfo
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- WO2018188393A1 WO2018188393A1 PCT/CN2018/071935 CN2018071935W WO2018188393A1 WO 2018188393 A1 WO2018188393 A1 WO 2018188393A1 CN 2018071935 W CN2018071935 W CN 2018071935W WO 2018188393 A1 WO2018188393 A1 WO 2018188393A1
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- power
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- 238000000034 method Methods 0.000 title claims abstract description 26
- 238000003860 storage Methods 0.000 title claims abstract description 9
- 238000009826 distribution Methods 0.000 claims abstract description 62
- 238000004364 calculation method Methods 0.000 claims description 52
- 238000002347 injection Methods 0.000 claims description 44
- 239000007924 injection Substances 0.000 claims description 44
- 230000035945 sensitivity Effects 0.000 claims description 30
- 239000011159 matrix material Substances 0.000 claims description 10
- 238000000354 decomposition reaction Methods 0.000 claims description 3
- 238000010586 diagram Methods 0.000 description 8
- 238000004590 computer program Methods 0.000 description 7
- 238000004458 analytical method Methods 0.000 description 6
- 238000005516 engineering process Methods 0.000 description 6
- 239000000243 solution Substances 0.000 description 6
- 230000006870 function Effects 0.000 description 5
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- 230000005540 biological transmission Effects 0.000 description 1
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for AC mains or AC distribution networks
- H02J3/04—Circuit arrangements for AC mains or AC distribution networks for connecting networks of the same frequency but supplied from different sources
- H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
Definitions
- the present invention relates to a power flow calculation method for a flexible DC power grid in the power industry, and particularly relates to a method and system for determining a linear current of a flexible DC power grid, and a computer storage medium.
- the processing method is based on the characteristics of high-voltage power flow calculation. Linearize the AC power flow calculations to construct a linear optimization model that considers power flow constraints.
- the power flow linearization method in the AC grid is not suitable for the flexible grid because the power flow calculation differs greatly from the AC grid.
- the embodiment of the present application provides a flexible DC power flow linearization determining method and system, and a computer storage medium.
- the technical solution of the embodiment of the present application is a flexible power grid linear power flow calculation method considering a flexible DC power grid control mode, based on injection power description and node voltage control.
- the power flow of the flexible DC grid is decomposed into: the power flow distribution of the constant voltage control node and the power flow distribution of the fixed power control node;
- the power flow distribution of the fixed voltage control node and the power flow distribution of the fixed power control node are calculated to calculate the final flexible DC power grid linearization power flow result.
- the method before decomposing the power flow of the flexible DC power grid in a controlled manner, the method further includes:
- the fixed power control node number is before the constant voltage control node number
- a branch data set is formed, which is expressed as [branch number, head end node, end node, branch resistance];
- a node admittance matrix is formed according to the node number and the branch data set.
- the calculating a power flow distribution of the constant voltage control node includes:
- the voltage of the constant voltage control node is set to a known control value, and the nonlinear equations are solved to obtain the power flow distribution P l,V of all the branch fixed voltage control nodes.
- the calculating a power flow distribution of the power control node includes:
- the flexible DC grid branch power is expressed as a linear combination of injection power based on sensitivity.
- the power flow sensitivity of all the fixed power control nodes to any one of the flexible DC power grids is calculated according to the following formula:
- the flexible DC grid branch power P l,P is expressed as a linear combination of injection power, calculated according to the following formula:
- P l,km is the injection power of the branch where the nodes k and m are located
- P i is the injection power of the node i
- ⁇ i,l is the sensitivity of the node i to the branch l
- i ⁇ A represents all the constant power control Node
- V i is the voltage of node i
- V k is the voltage of node k
- V m is the voltage of node m
- G ij is the conductance value between node i and node j, corresponding to the value of the admittance matrix of the node
- Negative, j ⁇ I denotes the node directly adjacent to node i
- G ii is the self-admittance of node i
- P l, P is the power flow distribution of the fixed power control node
- i, j, k, m are constant power Control node.
- the linearized power flow result of the flexible DC grid is calculated according to the following formula:
- P l, V represents the power flow distribution of the fixed voltage control node
- P l, P is the branch power of the flexible DC grid
- P l is the linearized power flow result of the flexible DC grid.
- the decomposition module is configured to decompose the power flow of the flexible DC grid into: a power flow distribution of the constant voltage control node and a power flow distribution of the constant power control node;
- a first calculation module configured to calculate a power flow distribution of the constant voltage control node
- a second calculation module configured to calculate a power flow distribution of the fixed power control node
- the third calculation module is configured to superimpose the power flow distribution of the constant voltage control node and the power flow distribution of the constant power control node to calculate the final flexible DC power grid linearization power flow result.
- the first computing module includes:
- the tidal current distribution calculation module of the branch is configured to set all the voltages of the constant voltage control nodes to known control values, solve the nonlinear equations, and calculate the tidal current distributions P l, V of all the branches.
- the system further includes: a flexible DC grid description module configured to node the number of the flexible DC grid before the power flow of the flexible DC grid is decomposed according to the control mode, and the fixed power control node number is at the constant voltage control node.
- the branch number of the flexible DC grid is formed into a branch data set, expressed as [tributary number, head end node, end node, branch resistance]; according to the node number and the branch data set, the node admittance is formed. matrix.
- the second computing module includes:
- the sensitivity calculation module is configured to calculate a sensitivity of the power of the fixed power control node to the power of any one of the flexible DC power grids;
- a linear combination calculation module configured to represent a flexible DC grid branch power as a linear combination of injection power based on sensitivity.
- the traditional power flow calculation based on injection power is a nonlinear model. When it is necessary to adjust the injection power to adjust the power flow of the soft grid branch, it cannot be linearly expressed, and the analysis is difficult.
- the method for calculating the linearization of the power flow of the flexible grid in the embodiment of the present application is one of the key technologies for constructing the safety constraint economic dispatch model of the flexible DC grid.
- the embodiment of the present application is a flexible power grid linear power flow calculation method based on injection power description and node voltage control, which is generally considered in the flexible DC power grid control mode.
- FIG. 1 is a flow chart of a method for determining a power flow linearization of a flexible DC power grid according to an embodiment of the present application
- FIG. 2 is a schematic diagram of a 5-node flexible grid in the embodiment of the present application.
- FIG. 3 is a structural block diagram of a power flow linearization determining system for a flexible DC power grid according to an embodiment of the present application.
- the embodiment of the present application provides a linear power flow calculation method for a flexible power grid based on injection power description and node voltage control considering a flexible DC power grid control mode.
- the flowchart is as shown in FIG. 1 and includes the following steps:
- the embodiment of the present application takes the 5-node flexible grid structure diagram shown in FIG. 2 as an example for subsequent description.
- the flexible grid of any number of nodes and any connection mode can be similarly obtained.
- the topology description of the flexible grid is no different from the conventional AC grid topology description. To ensure the integrity of the content description, it is still briefly described here.
- the node number is assigned to the flexible grid, and the fixed power control node number is ahead of the fixed voltage control node number.
- the nodes 1, 2, and 3 are fixed power control
- the nodes 4 and 5 are fixed voltage control. .
- branch data set which is expressed as [branch number, head end node, end node, branch resistance].
- branch number head end node, end node, branch resistance
- branch resistance For the branch 1 in Fig. 2, it is expressed as: [1, 1, 2, 2.35].
- the change of the injection power of the fixed power control node can represent the change of the power flow of the flexible grid branch. But the node with constant voltage control will not work.
- the embodiment of the present application proposes to divide the branch power flow into two components: the power flow distribution caused by the constant voltage control node and the power flow distribution caused by the fixed power control node.
- the power flow calculation of the flexible power grid needs to be related and deduced, and the derivation process is as follows.
- the power of the branch 1 between node i and node j in the flexible grid can be expressed as:
- P l, ij is the power flow of the branch l
- V i is the voltage of the node i
- G ij is the conductance value between the node i and the node j, which is the value corresponding to the negative in the node admittance array.
- the injected power of node i in a flexible grid can be expressed as the sum of the powers of all the branches connected to node i:
- G ii is the self-admittance of node i, which is the value corresponding to the node admittance array.
- the first term in the equation is only related to the voltage of node i itself, and the second term is related to the voltage of the adjacent node.
- Equation (6) describes the partial derivative of any branch power versus node voltage, ie the sensitivity of the node voltage to the branch current. If the value on the right side of equation (6) can be found, it means that the power change of the branch can be described by the voltage change of the node. Dividing equation (6) by equation (5) can obtain the partial derivative of any branch power to node i injection power, that is, the sensitivity of node injection power to branch power.
- equations (6) and (7) it is closely related to the control mode of the node.
- any node type (6) and formula (7) only need to solve one.
- the equation (6) is obtained; when the node is fixed power control, it is required to take the formula (7). ).
- equation (6) contains both the voltage itself and the derivative of the voltage, it can be seen that the sensitivity of the node voltage to the branch current can be linearly expressed only in a very small voltage variation interval. Therefore, we do not calculate the value of equation (6) here. We believe that the node voltages of all constant voltage control are known values, and the influence of the voltage variation of the constant voltage control node on the branch current is not analyzed.
- the equation (8) is solved.
- the partial derivatives of the nodes k, m and the nodes adjacent to i to V i are all variables to be determined.
- equation (9) can be reduced to:
- Equation (10) is actually a system of equations, except for node i itself and other nodes. Are unknown. For an n-node system, there are n-1 unknowns. There are a node (without i-node) for false power control, and (n-1-a) for fixed voltage control. According to equation (10), a equation can be obtained, and since the remaining (n-1-a) nodes are controlled by constant voltage, the voltage is not affected by other nodes, and is directly available. According to the comprehensive analysis, n-1 unknowns correspond to n-1 equations, and all can be obtained. Value.
- step S3 first, all injection powers of the fixed power control node are set to 0;
- the voltage of the constant voltage control node is set to a known control value, and the nonlinear equations are solved by the traditional numerical solution method to obtain the tidal current of all branches.
- This branch flow is expressed as P l,V , which represents the distribution of the current flow caused by the constant voltage control node.
- P i is the injection power of node i
- ⁇ i,l is the sensitivity of node i to branch l.
- i ⁇ A represents all fixed power control nodes. This means that if a P i is given arbitrarily, the corresponding branch power flow P l can be directly obtained linearly.
- step S3 Combining step S3 and step S4, the linear expression of the branch current at this time can be obtained as follows:
- nodes 1, 2, and 3 are fixed power control nodes
- nodes 4 and 5 are fixed voltage control nodes
- node 4 has a control voltage of 319.5 kV
- node 5 has a control voltage of 320 kV.
- equations of nodes 1, 2, and 3 are as follows:
- the sensitivity of the constant power node injection power to all branch powers can be obtained by taking the obtained partial derivative into equation (8). Similarly, the sensitivity of other nodes to all branches can be obtained. The results are shown in Table 1.
- step S4 and step S5 the branch power flow distribution after the constant power control arbitrary injection power is obtained can be calculated.
- node 1 injects power by 260 MW
- node 2 injects power by 340 MW
- node 3 injects power of -450.
- the flows of the branches calculated according to the embodiment of the present application are shown in the following table.
- Table 3 The voltage distribution of the branch after constant voltage control node and constant power control arbitrary injection power
- Branch road 1 Branch road 2
- Branch 3 Branch 4
- Branch road 5 Branch road 6
- This application -39.55 188.398 261.561 38.775 111.088 -74.301 Iterative method -39.3475 189.134 262.605 38.0196 110.215 -74.3012 deviation 0.0051201 -0.003907 -0.003991 0.0194816 0.0078586 -2.69E-06
- the embodiment of the present application further provides a flexible DC power flow linearization calculation system considering a DC control mode, and a structural block diagram thereof is shown in FIG. 3, including:
- the decomposition module 301 is configured to decompose the power flow of the flexible DC grid into a power flow distribution of the constant voltage control node and a power flow distribution of the constant power control node according to the control manner;
- the first calculating module 302 is configured to calculate a power flow distribution of the constant voltage control node
- the second calculating module 303 is configured to calculate a power flow distribution of the fixed power control node
- the third calculating module 304 is configured to calculate the final flexible DC grid linearized power flow result by superimposing the power flow distribution of the constant voltage control node and the power flow distribution of the constant power control node.
- the system further includes: a flexible DC grid description module configured to parameterize the node number of the flexible DC grid before the power flow of the flexible DC grid is decomposed according to the control mode, and the constant power control node number is before the constant voltage control node number;
- the branch number of the network forms a branch data set, which is expressed as [branch number, head end node, end node, branch resistance]; and a node admittance matrix is formed according to the node number and the branch data set.
- the first computing module includes:
- the tidal current distribution calculation module of the branch is configured to set all the voltages of the constant voltage control node to known control values, solve the nonlinear equations, and calculate the tidal current distribution of all the branches.
- the second calculation module includes:
- the sensitivity calculation module is configured to calculate a sensitivity of the power of the fixed power control node to the power of any one of the flexible DC power grids;
- a linear combination calculation module configured to represent a flexible DC grid branch power as a linear combination of injection power based on sensitivity.
- each module in the flexible DC power flow linearization computing system can be implemented by a central processing unit (CPU) located in a flexible DC power flow linearization computing system.
- CPU central processing unit
- a processor MPU, Micro Processor Unit
- DSP digital signal processor
- FPGA Field Programmable Gate Array
- the technical solution of the embodiment of the present application solves the traditional power flow calculation of the flexible power grid based on the injection power is a nonlinear model.
- the power of the soft power grid branch needs to be adjusted by adjusting the injection power, it cannot be linearly expressed. Analysis is difficult. Scheduling plan for the flexible grid
- the linearization of the straight flow is not realized, and the problem of optimal scheduling can not be achieved by the existing linear modeling method.
- embodiments of the present application can be provided as a method, system, or computer program product.
- the application can take the form of an entirely hardware embodiment, an entirely software embodiment, or a combination of software and hardware.
- the application can take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) including computer usable program code.
- the computer program instructions can also be stored in a computer readable memory that can direct a computer or other programmable data processing device to operate in a particular manner, such that the instructions stored in the computer readable memory produce an article of manufacture comprising the instruction device.
- the apparatus implements the functions specified in one or more blocks of a flow or a flow and/or block diagram of the flowchart.
- These computer program instructions can also be loaded onto a computer or other programmable data processing device such that a series of operational steps are performed on a computer or other programmable device to produce computer-implemented processing for execution on a computer or other programmable device.
- the instructions provide steps for implementing the functions specified in one or more of the flow or in a block or blocks of a flow diagram.
- an embodiment of the present invention further provides a computer storage medium, wherein a computer program configured to perform a flexible DC power flow linearization calculation method according to an embodiment of the present invention is stored.
- the technical solution of the embodiment of the present application solves the traditional power flow calculation of the flexible power grid based on the injection power is a nonlinear model.
- the power of the soft power grid branch needs to be adjusted by adjusting the injection power, it cannot be linearly expressed. Analysis is difficult. Scheduling plan for the flexible grid
- the linearization of the straight flow is not realized, and the problem of optimal scheduling can not be achieved by the existing linear modeling method.
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Abstract
Procédé et système linéarisés de détermination pour un flux de puissance d'un réseau électrique souple à courant continu, et support de stockage informatique. Le procédé comporte les étapes consistant: selon un mode de commande, à décomposer un flux de puissance d'un réseau électrique souple à courant continu en une distribution de flux de puissance d'un nœud de commande à tension constante et une distribution de flux de puissance d'un nœud de commande à puissance constante; calculer la distribution de flux de puissance du nœud de commande à tension constante; calculer la distribution de flux de puissance du nœud de commande à puissance constante; et superposer la distribution de flux de puissance du nœud de commande à tension constante et la distribution de flux de puissance du nœud de commande à puissance constante pour calculer un résultat final linéarisé de flux de puissance du réseau électrique souple à courant continu.
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CN106953328B (zh) * | 2017-04-13 | 2021-03-16 | 中国电力科学研究院有限公司 | 一种柔性直流电网潮流线性化确定方法及系统 |
CN108448585B (zh) * | 2018-03-29 | 2019-09-27 | 清华大学 | 一种基于数据驱动的电网潮流方程线性化求解方法 |
CN111541246B (zh) * | 2020-04-30 | 2022-06-14 | 东北电力大学 | 一种电力系统交直流潮流的全纯嵌入计算方法 |
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