US20030112004A1 - Magnetic position sensor having shaped pole pieces for improved output linearity - Google Patents
Magnetic position sensor having shaped pole pieces for improved output linearity Download PDFInfo
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- US20030112004A1 US20030112004A1 US10/079,369 US7936902A US2003112004A1 US 20030112004 A1 US20030112004 A1 US 20030112004A1 US 7936902 A US7936902 A US 7936902A US 2003112004 A1 US2003112004 A1 US 2003112004A1
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- G01D—MEASURING NOT SPECIALLY ADAPTED FOR A SPECIFIC VARIABLE; ARRANGEMENTS FOR MEASURING TWO OR MORE VARIABLES NOT COVERED IN A SINGLE OTHER SUBCLASS; TARIFF METERING APPARATUS; MEASURING OR TESTING NOT OTHERWISE PROVIDED FOR
- G01D5/00—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable
- G01D5/12—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable using electric or magnetic means
- G01D5/14—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable using electric or magnetic means influencing the magnitude of a current or voltage
- G01D5/142—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable using electric or magnetic means influencing the magnitude of a current or voltage using Hall-effect devices
- G01D5/145—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable using electric or magnetic means influencing the magnitude of a current or voltage using Hall-effect devices influenced by the relative movement between the Hall device and magnetic fields
Definitions
- the present invention generally relates to the field of magnetic sensors for sensing the position of a structure over a predetermined range of movement, and more specifically relates to a magnetic position sensor having shaped poles pieces for improved output linearity.
- Magnetic position sensors are devices that generate a change in electronic signal output that is proportional to the sensed movement of a mechanical component, such as, for example, a control shaft or rotor in the case of rotational position sensors or a carrier mechanism or linkage in the case of linear position sensors.
- a mechanical component such as, for example, a control shaft or rotor in the case of rotational position sensors or a carrier mechanism or linkage in the case of linear position sensors.
- the change in electronic signal is achieved without physical contact between the mechanical component and the magnetic sensing element.
- one or more magnets are used to provide a magnetic field having a magnetic field strength or flux density that varies as a function of position.
- the magnitude of the magnetic flux density is measured by an appropriate sensing device, such as, for example, a Hall-effect element or magneto-resistive element.
- the magnitude of the magnetic flux density is translated through the sensing device to a voltage or current output signal that is uniquely representative of a specific position of a mechanical component relative to the magnetic field.
- the magnetic position sensor provides a substantially linear relationship between electronic signal output and the position of the mechanical component. In addition to providing a linear relationship, minimizing hysteresis is also a desirable feature in most magnetic sensor applications. While annealing the magnets can reduce magnetic hysteresis, the annealing process can never eliminate magnetic hysteresis entirely.
- U.S. Pat. No. 5,995,881 to White et al. discloses a magnetic circuit that utilizes tapered magnets to provide a magnet field having varying magnetic field strength.
- these types of magnetic circuits commonly suffer from performance and/or manufacturing limitations. For example, providing a magnet circuit having a linearly varying magnetic field strength is difficult to achieve via magnet shaping due to non-uniformity in material composition and the geometric configuration of the magnet.
- non-standard magnetic materials must be used to manufacture magnets having irregular shapes and configurations.
- complicated magnet shapes often lead to increased manufacturing costs and package size limitations. Additionally, non-standard magnet compositions also increase manufacturing costs.
- Magnetic position sensors may be used in a wide variety of applications.
- magnetic position sensors are used extensively in the automotive industry to monitor the status of various automotive components.
- Position sensors that are used in automotive-related applications typically experience virtually constant movement and/or mechanical vibration while the automobile is in operation.
- such sensors must be constructed of mechanical and electrical components that are assembled in such a manner as to minimize the effects of misalignment and/or mispositioning to allow the sensor to operate in a sufficiently accurate and precise manner over the sensor's projected lifespan.
- automotive position sensors are typically subjected to relatively harsh thermal environments, and therefore must be designed to withstand extreme temperatures and temperature gradients.
- automotive sensors must be able to function properly within a temperature range of ⁇ 40 degrees Celsius to 160 degrees Celsius.
- automotive position sensors must usually satisfy relatively high performance criteria, particularly with regard to sensor accuracy and repeatability.
- the present invention is directed to a magnetic position sensor having improved output linearity. While the actual nature of the invention covered herein can only be determined with reference to the claims appended hereto, certain forms of the invention that are characteristic of the preferred embodiments disclosed herein are described briefly as follows. However, it should be understood that other embodiments are also contemplated as falling within the scope of the present invention.
- a magnetic sensor which includes a magnet extending along an axis, and a pole piece positioned adjacent the magnet and being at least partially formed of a non-magnetic material.
- the magnet and the pole piece cooperate to generate a magnetic field having a magnetic flux density that linearly varies along the axis.
- the magnetic sensor also includes a magnetic flux sensor positioned within the magnetic field.
- the magnetic flux sensor is operable to sense varying magnitudes of magnetic flux density along the axis and to generate an output signal representative of a sensed magnitude of the magnetic flux density.
- the pole piece is formed of a composite material comprising a non-magnetic material and a magnetizable material.
- a magnetic position sensor which includes a first magnet spaced from a second magnet to define an air gap extending along an axis, and first and second pole pieces at least partially disposed within the air gap and positioned adjacent respective ones of the first and second magnets, with the first and second pole pieces being at least partially formed of a non-magnetic material.
- the magnets and the pole pieces cooperate to generate a magnetic field having a magnetic flux density that linearly varies along the axis.
- the magnetic sensor also includes a magnetic flux sensor positioned within the magnetic field. The magnetic flux sensor is operable to sense varying magnitudes of magnetic flux density along the axis and to generate an output signal representative of a sensed magnitude of the magnetic flux density.
- the pole pieces are formed of a composite material comprising a non-magnetic material and a magnetizable material.
- a magnetic position sensor which includes a magnet extending along an axis and a shaped pole piece positioned adjacent the magnet and cooperating with the magnet to generate a magnetic field having a magnetic flux density that linearly varies along the axis.
- the magnetic position sensor also includes a magnetic flux sensor positioned within the magnetic field.
- the magnetic flux sensor is operable to sense varying magnitudes of the magnetic flux density along the axis through a sensing plane oriented substantially perpendicular to the axis and to generate an output signal representative of a sensed magnitude of the magnetic flux density.
- a magnetic position sensor which includes a first magnet spaced from a second magnet to define an air gap extending along an axis, and first and second shaped pole pieces at least partially disposed within the air gap and positioned adjacent respective ones of the first and second magnets.
- the magnets and the shaped pole pieces cooperate to generate a magnetic field having a magnetic flux density that linearly varies along the axis.
- the magnetic sensor also includes a magnetic flux sensor positioned within the magnetic field. The magnetic flux sensor is operable to sense varying magnitudes of the magnetic flux density along the axis through a sensing plane oriented substantially perpendicular to the axis and to generate an output signal representative of a sensed magnitude of the magnetic flux density.
- FIG. 1 is a top plan view of a magnetic position sensor according to one form of the present invention.
- FIG. 2 is a sectional view of the magnetic sensor illustrated in FIG. 1, taken along line 2 - 2 of FIG. 1.
- FIG. 3 is a diagrammatic view of the magnetic field associated with the magnetic position sensor illustrated in FIG. 1.
- FIG. 4 is a graph depicting measured magnetic flux density along a sensing path of the magnetic position sensor illustrated in FIG. 1 as a function of axial travel along the sensing path.
- FIG. 5 is a graph depicting electronic signal output as a function of axial travel along a sensing path of the magnetic position sensor illustrated in FIG. 1.
- the magnetic sensor 10 includes a magnetic circuit that is generally comprised of a pair of opposing magnets 12 , 14 , a first pair of opposing pole pieces 16 , 18 , a second pair of opposing pole pieces 20 , 22 , and a magnetically permeable bracket or enclosure 24 .
- the magnets 12 , 14 , the pole pieces 16 , 18 , 20 , 22 , and the bracket 24 cooperate with one another to generate one or more magnetic fields that have a magnetic flux density which varies in a substantially linear manner along an axis.
- the magnetic sensor 10 also includes a sensing device 26 that is operable to sense varying magnitudes of the magnetic flux density generated by the magnetic circuit and generates an output signal that is representative of the sensed magnetic flux density.
- the magnets 12 , 14 are spaced apart to define an air gap G extending along a longitudinal axis L. It should be understood that the air gap G is not necessarily confined to the space directly between the magnets 12 , 14 , but may also extend beyond the ends of the magnets 12 , 14 . Moreover, although the longitudinal axis L and the air gap G are illustrated as extending along a substantially linear path, it should be understood that axis L and air gap G may alternatively extend along a non-linear path, such as, for example, an arcuate or circular path.
- the magnets 12 , 14 are rare earth magnets and have a substantially rectangular configuration. This particular type of magnet is relatively common, thereby increasing sourcing opportunities and reducing the overall cost of the magnetic sensor 10 .
- the rare earth magnets 12 , 14 are injection molded and are substantially void of any magnetic flux density “hot spots”.
- hot spots any magnetic flux density “hot spots”.
- the magnets 12 , 14 preferably have a rectangular configuration.
- Magnet 12 includes a pair of opposite axial surfaces 12 a, 12 b extending generally along longitudinal axis L and a pair of opposite end surfaces 12 c, 12 d.
- the axial surface 12 a is a south pole surface and the axial surface 12 b is a north pole surface such that the magnet 12 is polarized in a polarization direction D 1 .
- magnet 14 includes a pair of opposite axial surfaces 14 a, 14 b extending generally along longitudinal axis L and a pair of opposite end surfaces 14 c, 14 d, with the axial surface 14 a being a south pole surface and the axial surface 14 b being a north pole surface such that magnet 14 is polarized in a polarization direction D 2 .
- the magnets 12 , 14 are arranged within the magnetic circuit such that the polarization direction D 1 opposes the polarization direction D 2 , with the north pole surface 12 b of magnet 12 facing the north pole surface 14 b of magnet 14 .
- magnets 12 , 14 have been illustrated and described as having a specific shape and polarization configuration, it should also be understood that other shapes and polarization configurations of the magnets 12 , 14 are also contemplated as falling within the scope of the present invention.
- the magnets 12 , 14 may take on an arcuate shape or an irregular shape.
- the magnets 12 , 14 may take on other polarization configurations to provide alternative magnetic circuit set-ups.
- the polarization directions D 1 , D 2 may be reversed such that the south pole surface 12 a of magnet 12 faces the south pole surface 14 a of magnet 14 , or that only one of the polarization directions D 1 , D 2 is reversed to provide a magnetic field that flows across the air gap G.
- the pole pieces 16 , 18 , 20 , 22 are positioned adjacent the magnets 12 , 14 and cooperate with the magnets 12 , 14 to generate one or more magnetic fields having a magnetic flux density that linearly varies along the longitudinal axis L.
- a “pole piece” is broadly defined as any structure that cooperates with a magnet to generate a magnetic field having certain magnetic flux density characteristics.
- the pole pieces 16 , 18 , 20 , 22 are at least partially formed of a non-magnetic material. Additionally, the pole pieces 16 , 18 , 20 , 22 are preferably formed of a material that has a magnetic reluctance less than the magnetic reluctance of cold rolled steel (CRS). In one embodiment of the invention, the pole pieces 16 , 18 , 20 , 22 are at least partially formed of a plastic or polymer material, such as, for example, a nylon material. However, it should be understood that other suitable non-magnetic materials are also contemplated as falling within the scope of the present invention.
- the pole pieces 16 , 18 , 20 , 22 are formed of a composite material comprised of a non-magnetic material and a magnetizable filler material.
- the composite material is Nylon 6/6, manufactured by the RTP Company under Part No. RTP 0299 X 85151 B.
- the pole pieces 16 , 18 , 20 , 22 are formed of other materials, such as, for example, steel.
- the pole pieces 16 , 18 , 20 , 22 have a non-rectangular or irregular shape.
- the pole pieces 16 , 18 , 20 , 22 have a wedge or ramp shape.
- the pole pieces are preferably at least partially formed of a non-magnetic material such as plastic, and in a specific embodiment are formed of Nylon 6/6.
- the composition of such materials allows the pole pieces to be formed by an injection molding process or other similar forming techniques.
- the pole pieces can be easily designed to take on a wide variety of shapes and configurations.
- an injection molding process is typically more economical than a machining or stamping processes, particularly in applications involving relatively complex part shapes and relatively high production volumes.
- the pole pieces 16 , 18 , 20 , 22 have a wedge or ramp shape. It should be understood, however, that other shapes and configurations are also contemplated as falling within the scope of the present invention, including more uniform shapes, such as a rectangular shape.
- Each of the pole pieces 16 , 18 , 20 , 22 are similarly configured, and therefore only pole piece 16 need be described in detail, it being understood that the remaining pole pieces 18 , 20 , 22 have substantially the same configuration as pole piece 16 .
- each of the pole pieces includes a tapered surface 30 oriented at an oblique angle a relative to the longitudinal axis L.
- the angle a falls within a range of about 15 degrees to about 45 degrees, and in a more specific embodiment angle a is approximately 35 degrees.
- other oblique angles a are also contemplated as falling within the scope of the present invention.
- the tapered surface 30 is illustrated as being substantially planar, other non-planar configurations are also contemplated, such as, for example, curvilinear or arcuate configurations.
- Each of the pole pieces also preferably includes a non-tapered surface 32 arranged substantially parallel to the longitudinal axis L and being contiguous with the tapered surface 30 .
- Each of the pole pieces also preferably includes axially extending surfaces 34 , 36 offset from one another to define a shoulder 36 , and a pair of opposite end surfaces 40 , 42 .
- the pole pieces 16 , 20 are positioned adjacent the magnet 12 and the pole pieces 18 , 22 are positioned adjacent the magnet 14 . More specifically, the shoulder 36 of each pole piece 16 , 20 is engaged against a respective corner portion of the magnet 12 , with the axial surface 34 abutting the inwardly facing surface 12 b of magnet 12 and the axial surface 36 overhanging a corresponding end surface 12 c, 12 d of magnet 12 .
- each pole piece 18 , 22 is engaged against a respective corner of the magnet 14 , with the axial surface 34 abutting the inwardly facing surface 14 b of magnet 14 and the axial surface 36 overhanging a corresponding end surface 14 c, 14 d of magnet 14 .
- One function of the shoulder 36 is to ensure proper axial positioning of pole pieces 16 , 18 , 20 , 22 with respect to the magnets 12 , 14 .
- the pole pieces 16 , 18 are disposed within the air gap G in an opposing manner, with the tapered/non-tapered surfaces 30 , 32 of pole piece 16 arranged generally opposite the tapered/non-tapered surfaces 30 , 32 of pole piece 18 .
- the pole pieces 20 , 22 are disposed within the air gap G in an opposing manner, with the tapered/non-tapered surfaces 30 , 32 of pole piece 20 arranged generally opposite the tapered/non-tapered surfaces 30 , 32 of pole piece 22 .
- the magnetic circuit is substantially symmetrical relative to longitudinal axis L and a transverse axis T extending across the air gap G.
- the magnetic field generated by the magnetic circuit is also substantially symmetrical relative to longitudinal axis L and transverse axis T.
- the magnets 12 , 14 and the pole pieces 16 , 18 , 20 , 22 are enclosed by the magnetically permeable bracket 24 .
- the bracket 24 is formed of a metallic material, such as, for example, soft magnetic steel.
- the bracket 24 serves to enhance/intensify the magnetic field levels generated within the air gap G by providing a return path for the magnetic flux generated by the magnets 12 , 14 .
- the bracket 24 serves to shield the magnetic circuit from any magnetic fields existing outside of the sensor 10 to prevent or at least minimize magnetic hysteresis and/or magnetic or electrical interference.
- the magnetically permeable bracket 24 has a rectangular configuration.
- the axial surface 12 a of magnet 12 is preferably adjoined to an inner surface 24 a of bracket 24 and the pole pieces 16 , 20 are preferably adjoined to the axial surface 12 b of magnet 12 .
- the axial surface 14 a of magnet 14 is preferably adjoined to an inner surface 24 b of bracket 24 and the pole pieces 18 , 22 are preferably adjoined to the axial surface 14 b of magnet 14 .
- Such adjoinment substantially prevents relative movement between the components of the magnetic circuit, which in turn eliminates or at least minimizes sensor error and/or magnetic hysteresis.
- adjoinment is broadly defined as a unitary fabrication, a permanent affixation, a detachable coupling, a continuous engagement or a contiguous disposal of a first structure relative to a second structure.
- adjoinment is accomplished through the use of a bonding agent, such as, for example, an adhesive or a plastic bond.
- a bonding agent such as, for example, an adhesive or a plastic bond.
- other methods of adjoinment are also contemplated, such as, for example, welding, fastening or any other method that would occur to one of ordinary skill in the art.
- the magnetically permeable bracket 24 has been illustrated and described as having a rectangular configuration, other configurations are also contemplated as would occur to one of ordinary skill in the art, such as, for example, a circular or ring configuration. Moreover, although the bracket 24 is illustrated as having a closed loop configuration, it should be understood that the bracket 24 may be divided into a pair of opposing C-shaped brackets, with each C-shaped bracket being associated with the magnet field generated by a respective magnet 12 , 14 . It should further be understood that the magnetically permeable bracket 24 could be eliminated from the magnetic circuit entirely.
- the magnetic flux sensor 26 is positioned within the air gap G and is operable to sense varying magnitudes of magnetic flux density associated with the magnetic fields generated by the magnetic circuit.
- the magnetic flux sensor 26 includes a magnetic flux sensing plane S and a pair of opposite sensing surfaces 26 a, 26 b arranged substantially parallel to the sensing plane S.
- a “magnetic flux sensor” is broadly defined as any device that is capable of sensing magnetic flux density and generating at least one output signal that is representative of the sensed magnitude of the magnetic flux density.
- the magnetic flux sensor 26 is a Hall-effect device that is capable of sensing magnetic flux density passing through the sensing plane S.
- the magnetic flux sensor 26 is arranged such that the sensing plane S is oriented substantially perpendicular to the longitudinal axis L, which in the case of magnetic sensor 10 is a linear axis. In such an orientation, the sensing plane S does not face the inwardly facing surfaces 12 b, 14 b of magnets 12 , 14 , but instead faces a direction substantially perpendicular to the inwardly facing magnet surfaces 12 b, 14 b. It should be understood, however, that other orientations of sensing plane S are also contemplated as falling within the scope of the present invention.
- a Hall-effect device is based on the physical principle that a voltage is generated transverse to the current flow direction in an electric conductor if a magnetic field is applied perpendicularly to the conductor.
- a Hall element is a small platelet that is formed of a semi-conductive material.
- the circuitry of the Hall element is integrated on a silicon chip using CMOS technology.
- the Hall element detects the magnitude of magnetic flux density passing through the Hall plate in a direction perpendicular to the surface of the Hall plate, and generates an output signal that is representative of the sensed magnitude of magnetic flux density.
- the output signal is a voltage signal.
- One type of Hall-effect device that is suitable for use with the present invention is a programmable Hall-effect device manufactured by Micronas under Part No. HAL-805.
- Another suitable non-programmable Hall-effect device is manufactured by Ashai Kasei Electronics Co., Ltd. under Part No. HZ-302C (SIP type).
- SIP type Ashai Kasei Electronics Co., Ltd. under Part No. HZ-302C
- other types and configurations of Hall-effect devices are also contemplated as would occur to one of ordinary skill in the art.
- other types of magnetic flux sensors are also contemplated for use in association with the present invention, such as, for example, a magneto-resistive (MR) sensor or any other magnetic field-sensitive sensor device that would occur to one of ordinary skill in the art.
- Use of the MR magnetic flux sensors is particularly advantageous in sensor applications where the operating environment exceeds 160 degrees Celsius.
- the magnets 12 , 14 , the shaped pole pieces 16 , 18 and the magnetically permeable bracket 24 cooperate to generate a magnetic field M 1 .
- the magnets 12 , 14 , the shaped pole pieces 20 , 22 and the magnetically permeable bracket 24 cooperate to generate a magnetic field M 2 .
- the magnetic fields M 1 , M 2 are preferably substantially symmetrical relative to the longitudinal axis L.
- the portion of the magnetic field on one side of the longitudinal axis L is virtually a mirror image of the portion of the magnetic field on the opposite side of the longitudinal axis L.
- the magnetic field M 1 is substantially symmetrical to the magnetic field M 2 relative to the transverse axis T.
- the magnetic field M 1 generated by the magnets 12 , 14 and the pole pieces 16 , 18 has a magnetic flux density that linearly varies along the longitudinal axis L.
- the magnetic field M 2 generated by the magnets 12 , 14 and the pole pieces 20 , 22 has a magnetic flux density that linearly varies along the longitudinal axis L.
- the magnetic flux sensor 26 is disposed inside of the air gap G and is operable to sense the magnetic flux density associated with magnetic fields M 1 , M 2 generally along longitudinal axis L. In one embodiment of the invention, the magnetic fields M 1 , M 2 remain in a stationary position while the magnetic flux sensor 26 is displaced generally along longitudinal axis L.
- the magnetic flux sensor 26 remains in a stationary position while the magnetic fields M 1 , M 2 are displaced generally along the longitudinal axis L. It should also be understood that in other embodiments of the invention, the magnetic flux sensor 26 and the magnetic fields M 1 , M 2 could both be displaced generally along the longitudinal axis L, either at different rates and/or in opposite directions relative to one another. Mechanisms for providing such relative displacement between the magnetic flux sensor 26 and the magnetic fields M 1 , M 2 are well known to those skilled in the art and therefore need not be discussed herein. Such mechanisms include, for example, various types of carriers, rotors, shafts, linkages and brackets.
- the magnetic flux sensor 26 has a sensing plane S that is oriented substantially perpendicular to the longitudinal axis L and functions to sense varying magnitudes of magnetic flux density in directions substantially perpendicular to the sensing plane S (i.e., in directions substantially parallel to longitudinal axis L) during relative displacement between the magnetic flux sensor 26 and the magnetic fields M 1 , M 2 .
- the magnetic flux sensor 26 in turn generates an electronic signal, such as a voltage signal, that is proportional to the magnitude of the sensed magnetic flux density.
- the magnetic field strength or flux density sensed by the magnetic flux sensor 26 is linearly proportional to the relative position of the sensor 26 along the longitudinal axis L.
- the generated voltage signal is substantially linear over a predetermined distance of travel and exhibits minimal magnetic hysteresis.
- FIG. 4 shown therein is a graph depicting varying magnitudes of magnetic flux density sensed by the magnetic flux sensor 26 as a function of the relative linear displacement of sensor 26 along longitudinal axis L. Illustrated in FIGS. 3 and 4 are three operational positions of the sensor 26 along longitudinal axis L; namely positions A, B and C. Positions A and B are separated by an axial travel distance d 1 and positions B and C are separated by an axial travel distance d 2 . As should therefore be apparent, the overall axial travel distance of the magnetic flux sensor 26 is d 1 and d 2 .
- the sensed magnitude of the magnetic flux density passing through the sensing plane S is at or near ⁇ 400 Gauss.
- the magnetic field lines enter the magnetic flux sensor 26 through sensing surface 26 a and exit through sensing surface 26 b.
- the magnetic flux density is indicated as having a negative value.
- the sensed magnetic flux density proportionally decreases in magnitude.
- the sensed magnitude of the magnetic flux density passing through the sensing plane S is at or near 0 Gauss.
- FIG. 5 shown therein is a graph depicting change in the electronic signal output generated by the magnetic flux sensor 26 as a function of relative linear displacement of the sensor 26 along the longitudinal axis L.
- change in the signal output of the sensor 26 linearly varies as sensor 26 is displaced relative to the magnetic fields M 1 , M 2 along longitudinal axis L.
- the linear relationship between the position of sensor 26 along axis L and the representative output signal exhibits less than ⁇ 1% deviation from a best-fit straight line.
- the illustrated embodiment of the magnetic sensor 10 utilizes both of the magnetic fields M 1 , M 2 to generate a signal output that linearly varies with respect to the relative position of the sensor 26 along the longitudinal axis L
- only one of the magnetic fields M 1 , M 2 need be used to generate a linearly varying signal output.
- Such an embodiment would provide a smaller sized sensor package.
- the length of the sensing path would correspondingly be reduced by about one-half.
- only one of the magnets 12 , 14 need be used to generate a linearly varying signal output.
- the magnetic circuit componentry on either side of the longitudinal axis L could be eliminated, which would correspondingly remove one-half of the magnetic field.
- a sensor configuration would likely be more susceptible to output error and/or signal variations caused by lateral or side-to-side movement of the magnetic flux sensor 26 relative to the longitudinal axis L.
- the illustrated embodiment of the magnetic sensor 10 uses a single magnetic flux sensor 26 , it should be understood that a plurality of magnetic flux sensors 26 may be positioned within one or both of the magnetic fields M 1 , M 2 to generate multiple signal outputs for applications requiring redundant signal outputs and/or multiple signal output profiles.
- the magnetic position sensor 10 has been illustrated and described as a linear sensor (e.g., a sensor having a sensing path extending along a substantially linear axis), it should be understood that the magnetic sensor 10 could also be used in other applications, such as, for example, a rotational sensor (e.g., a sensor having a sensing path extending along an arcuate or circular axis).
- a rotational sensor e.g., a sensor having a sensing path extending along an arcuate or circular axis.
- the magnetic sensor 10 is illustrated as being sized to accommodate a specific sensing distance along the longitudinal axis L, it should be understood that the magnetic circuit can easily be scaled up or scaled down to accommodate other sensing distances and/or to satisfy the particular operational requirements of the magnetic sensor.
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Abstract
Description
- The present application claims the benefit of Provisional Application Serial No. 60/340,571 filed on Dec. 14, 2001, the contents of which are hereby incorporated by reference in their entirety.
- The present invention generally relates to the field of magnetic sensors for sensing the position of a structure over a predetermined range of movement, and more specifically relates to a magnetic position sensor having shaped poles pieces for improved output linearity.
- Magnetic position sensors are devices that generate a change in electronic signal output that is proportional to the sensed movement of a mechanical component, such as, for example, a control shaft or rotor in the case of rotational position sensors or a carrier mechanism or linkage in the case of linear position sensors. Preferably, the change in electronic signal is achieved without physical contact between the mechanical component and the magnetic sensing element. In non-contacting magnetic position sensors, one or more magnets are used to provide a magnetic field having a magnetic field strength or flux density that varies as a function of position.
- The magnitude of the magnetic flux density is measured by an appropriate sensing device, such as, for example, a Hall-effect element or magneto-resistive element. The magnitude of the magnetic flux density is translated through the sensing device to a voltage or current output signal that is uniquely representative of a specific position of a mechanical component relative to the magnetic field. Preferably, the magnetic position sensor provides a substantially linear relationship between electronic signal output and the position of the mechanical component. In addition to providing a linear relationship, minimizing hysteresis is also a desirable feature in most magnetic sensor applications. While annealing the magnets can reduce magnetic hysteresis, the annealing process can never eliminate magnetic hysteresis entirely.
- To generate a magnetic field having a substantially linear profile, those skilled in the art sometimes resort to complicated magnet shapes. For example, U.S. Pat. No. 5,995,881 to White et al. discloses a magnetic circuit that utilizes tapered magnets to provide a magnet field having varying magnetic field strength. However, these types of magnetic circuits commonly suffer from performance and/or manufacturing limitations. For example, providing a magnet circuit having a linearly varying magnetic field strength is difficult to achieve via magnet shaping due to non-uniformity in material composition and the geometric configuration of the magnet. Typically, non-standard magnetic materials must be used to manufacture magnets having irregular shapes and configurations. Moreover, complicated magnet shapes often lead to increased manufacturing costs and package size limitations. Additionally, non-standard magnet compositions also increase manufacturing costs.
- Magnetic position sensors may be used in a wide variety of applications. For example, magnetic position sensors are used extensively in the automotive industry to monitor the status of various automotive components. Position sensors that are used in automotive-related applications typically experience virtually constant movement and/or mechanical vibration while the automobile is in operation. To that end, such sensors must be constructed of mechanical and electrical components that are assembled in such a manner as to minimize the effects of misalignment and/or mispositioning to allow the sensor to operate in a sufficiently accurate and precise manner over the sensor's projected lifespan. Moreover, automotive position sensors are typically subjected to relatively harsh thermal environments, and therefore must be designed to withstand extreme temperatures and temperature gradients. Typically, automotive sensors must be able to function properly within a temperature range of −40 degrees Celsius to 160 degrees Celsius. Additionally, automotive position sensors must usually satisfy relatively high performance criteria, particularly with regard to sensor accuracy and repeatability.
- Thus, there is a general need in the industry to provide a magnetic position sensor having improved output linearity. The present invention satisfies this need and provides other benefits and advantages in a novel and unobvious manner.
- The present invention is directed to a magnetic position sensor having improved output linearity. While the actual nature of the invention covered herein can only be determined with reference to the claims appended hereto, certain forms of the invention that are characteristic of the preferred embodiments disclosed herein are described briefly as follows. However, it should be understood that other embodiments are also contemplated as falling within the scope of the present invention.
- In one form of the present invention, a magnetic sensor is provided which includes a magnet extending along an axis, and a pole piece positioned adjacent the magnet and being at least partially formed of a non-magnetic material. The magnet and the pole piece cooperate to generate a magnetic field having a magnetic flux density that linearly varies along the axis. The magnetic sensor also includes a magnetic flux sensor positioned within the magnetic field. The magnetic flux sensor is operable to sense varying magnitudes of magnetic flux density along the axis and to generate an output signal representative of a sensed magnitude of the magnetic flux density. In a further aspect of the invention, the pole piece is formed of a composite material comprising a non-magnetic material and a magnetizable material.
- In another form of the present invention, a magnetic position sensor is provided which includes a first magnet spaced from a second magnet to define an air gap extending along an axis, and first and second pole pieces at least partially disposed within the air gap and positioned adjacent respective ones of the first and second magnets, with the first and second pole pieces being at least partially formed of a non-magnetic material. The magnets and the pole pieces cooperate to generate a magnetic field having a magnetic flux density that linearly varies along the axis. The magnetic sensor also includes a magnetic flux sensor positioned within the magnetic field. The magnetic flux sensor is operable to sense varying magnitudes of magnetic flux density along the axis and to generate an output signal representative of a sensed magnitude of the magnetic flux density. In a further aspect of the invention, the pole pieces are formed of a composite material comprising a non-magnetic material and a magnetizable material.
- In yet another form of the present invention, a magnetic position sensor is provided which includes a magnet extending along an axis and a shaped pole piece positioned adjacent the magnet and cooperating with the magnet to generate a magnetic field having a magnetic flux density that linearly varies along the axis. The magnetic position sensor also includes a magnetic flux sensor positioned within the magnetic field. The magnetic flux sensor is operable to sense varying magnitudes of the magnetic flux density along the axis through a sensing plane oriented substantially perpendicular to the axis and to generate an output signal representative of a sensed magnitude of the magnetic flux density.
- In still another form of the present invention, a magnetic position sensor is provided which includes a first magnet spaced from a second magnet to define an air gap extending along an axis, and first and second shaped pole pieces at least partially disposed within the air gap and positioned adjacent respective ones of the first and second magnets. The magnets and the shaped pole pieces cooperate to generate a magnetic field having a magnetic flux density that linearly varies along the axis. The magnetic sensor also includes a magnetic flux sensor positioned within the magnetic field. The magnetic flux sensor is operable to sense varying magnitudes of the magnetic flux density along the axis through a sensing plane oriented substantially perpendicular to the axis and to generate an output signal representative of a sensed magnitude of the magnetic flux density.
- It is one object of the present invention to provide a magnetic position sensor having improved output linearity.
- Further objects, features, advantages, benefits, and aspects of the present invention will become apparent from the drawings and description contained herein.
- FIG. 1 is a top plan view of a magnetic position sensor according to one form of the present invention.
- FIG. 2 is a sectional view of the magnetic sensor illustrated in FIG. 1, taken along line2-2 of FIG. 1.
- FIG. 3 is a diagrammatic view of the magnetic field associated with the magnetic position sensor illustrated in FIG. 1.
- FIG. 4 is a graph depicting measured magnetic flux density along a sensing path of the magnetic position sensor illustrated in FIG. 1 as a function of axial travel along the sensing path.
- FIG. 5 is a graph depicting electronic signal output as a function of axial travel along a sensing path of the magnetic position sensor illustrated in FIG. 1.
- For the purposes of promoting an understanding of the principles of the present invention, reference will now be made to the preferred embodiments illustrated in the drawings and specific language will be used to describe the same. It will nevertheless be understood that no limitation on the scope of the present invention is intended, with any alterations or modifications in the disclosed embodiments and further applications of the principles of the present invention being contemplated as would normally occur to one skilled in the art to which the present invention relates.
- Referring to FIGS. 1 and 2, shown therein is a magnetic position sensor10 according to one form of the present invention. The magnetic sensor 10 includes a magnetic circuit that is generally comprised of a pair of
opposing magnets opposing pole pieces opposing pole pieces enclosure 24. Themagnets pole pieces bracket 24 cooperate with one another to generate one or more magnetic fields that have a magnetic flux density which varies in a substantially linear manner along an axis. The magnetic sensor 10 also includes asensing device 26 that is operable to sense varying magnitudes of the magnetic flux density generated by the magnetic circuit and generates an output signal that is representative of the sensed magnetic flux density. - The
magnets magnets magnets - In a preferred embodiment of the present invention, the
magnets rare earth magnets - As discussed above, the
magnets Magnet 12 includes a pair of oppositeaxial surfaces 12 a, 12 b extending generally along longitudinal axis L and a pair of opposite end surfaces 12 c, 12 d. In one embodiment, theaxial surface 12 a is a south pole surface and the axial surface 12 b is a north pole surface such that themagnet 12 is polarized in a polarization direction D1. Similarly,magnet 14 includes a pair of oppositeaxial surfaces 14 a, 14 b extending generally along longitudinal axis L and a pair of opposite end surfaces 14 c, 14 d, with theaxial surface 14 a being a south pole surface and the axial surface 14 b being a north pole surface such thatmagnet 14 is polarized in a polarization direction D2. In one embodiment of the invention, themagnets magnet 12 facing the north pole surface 14 b ofmagnet 14. - Although the
magnets magnets magnets magnets south pole surface 12 a ofmagnet 12 faces thesouth pole surface 14 a ofmagnet 14, or that only one of the polarization directions D1, D2 is reversed to provide a magnetic field that flows across the air gap G. - The
pole pieces magnets magnets - In a preferred embodiment of present invention, the
pole pieces pole pieces pole pieces pole pieces pole pieces - In a preferred embodiment of the present invention, the
pole pieces pole pieces - As illustrated in FIG. 1, the
pole pieces pole pieces pole piece 16 need be described in detail, it being understood that the remainingpole pieces pole piece 16. - In a preferred embodiment of the present invention, each of the pole pieces includes a tapered
surface 30 oriented at an oblique angle a relative to the longitudinal axis L. In a specific embodiment, the angle a falls within a range of about 15 degrees to about 45 degrees, and in a more specific embodiment angle a is approximately 35 degrees. However, it should be understood that other oblique angles a are also contemplated as falling within the scope of the present invention. It should also be understood that although the taperedsurface 30 is illustrated as being substantially planar, other non-planar configurations are also contemplated, such as, for example, curvilinear or arcuate configurations. Each of the pole pieces also preferably includes anon-tapered surface 32 arranged substantially parallel to the longitudinal axis L and being contiguous with the taperedsurface 30. Each of the pole pieces also preferably includes axially extendingsurfaces shoulder 36, and a pair of opposite end surfaces 40, 42. - In the illustrated embodiment of the magnetic sensor10, the
pole pieces magnet 12 and thepole pieces magnet 14. More specifically, theshoulder 36 of eachpole piece magnet 12, with theaxial surface 34 abutting the inwardly facing surface 12 b ofmagnet 12 and theaxial surface 36 overhanging acorresponding end surface 12 c, 12 d ofmagnet 12. Similarly, theshoulder 36 of eachpole piece magnet 14, with theaxial surface 34 abutting the inwardly facing surface 14 b ofmagnet 14 and theaxial surface 36 overhanging acorresponding end surface 14 c, 14 d ofmagnet 14. One function of theshoulder 36 is to ensure proper axial positioning ofpole pieces magnets - As illustrated in FIG. 1, the
pole pieces non-tapered surfaces pole piece 16 arranged generally opposite the tapered/non-tapered surfaces pole piece 18. Similarly, thepole pieces non-tapered surfaces pole piece 20 arranged generally opposite the tapered/non-tapered surfaces pole piece 22. Accordingly, the magnetic circuit is substantially symmetrical relative to longitudinal axis L and a transverse axis T extending across the air gap G. As illustrated in FIG. 4, the magnetic field generated by the magnetic circuit is also substantially symmetrical relative to longitudinal axis L and transverse axis T. - In a preferred embodiment of the present invention, the
magnets pole pieces permeable bracket 24. Preferably, thebracket 24 is formed of a metallic material, such as, for example, soft magnetic steel. However, it should be understood that other suitable magnetically conductive materials are also contemplated. In one embodiment of the invention, thebracket 24 serves to enhance/intensify the magnetic field levels generated within the air gap G by providing a return path for the magnetic flux generated by themagnets bracket 24 serves to shield the magnetic circuit from any magnetic fields existing outside of the sensor 10 to prevent or at least minimize magnetic hysteresis and/or magnetic or electrical interference. - In the illustrated embodiment of the invention, the magnetically
permeable bracket 24 has a rectangular configuration. Theaxial surface 12 a ofmagnet 12 is preferably adjoined to an inner surface 24 a ofbracket 24 and thepole pieces magnet 12. Likewise, theaxial surface 14 a ofmagnet 14 is preferably adjoined to an inner surface 24 b ofbracket 24 and thepole pieces magnet 14. Such adjoinment substantially prevents relative movement between the components of the magnetic circuit, which in turn eliminates or at least minimizes sensor error and/or magnetic hysteresis. For purposes of the present invention, the term “adjoined” is broadly defined as a unitary fabrication, a permanent affixation, a detachable coupling, a continuous engagement or a contiguous disposal of a first structure relative to a second structure. In one embodiment, adjoinment is accomplished through the use of a bonding agent, such as, for example, an adhesive or a plastic bond. However, other methods of adjoinment are also contemplated, such as, for example, welding, fastening or any other method that would occur to one of ordinary skill in the art. - Although the magnetically
permeable bracket 24 has been illustrated and described as having a rectangular configuration, other configurations are also contemplated as would occur to one of ordinary skill in the art, such as, for example, a circular or ring configuration. Moreover, although thebracket 24 is illustrated as having a closed loop configuration, it should be understood that thebracket 24 may be divided into a pair of opposing C-shaped brackets, with each C-shaped bracket being associated with the magnet field generated by arespective magnet permeable bracket 24 could be eliminated from the magnetic circuit entirely. - The
magnetic flux sensor 26 is positioned within the air gap G and is operable to sense varying magnitudes of magnetic flux density associated with the magnetic fields generated by the magnetic circuit. Themagnetic flux sensor 26 includes a magnetic flux sensing plane S and a pair of opposite sensing surfaces 26 a, 26 b arranged substantially parallel to the sensing plane S. For purposes of the present invention, a “magnetic flux sensor” is broadly defined as any device that is capable of sensing magnetic flux density and generating at least one output signal that is representative of the sensed magnitude of the magnetic flux density. - In one embodiment of the present invention, the
magnetic flux sensor 26 is a Hall-effect device that is capable of sensing magnetic flux density passing through the sensing plane S. In a preferred embodiment of the invention, themagnetic flux sensor 26 is arranged such that the sensing plane S is oriented substantially perpendicular to the longitudinal axis L, which in the case of magnetic sensor 10 is a linear axis. In such an orientation, the sensing plane S does not face the inwardly facing surfaces 12 b, 14 b ofmagnets - The functionality of a Hall-effect device is based on the physical principle that a voltage is generated transverse to the current flow direction in an electric conductor if a magnetic field is applied perpendicularly to the conductor. Typically, a Hall element is a small platelet that is formed of a semi-conductive material. Preferably, the circuitry of the Hall element is integrated on a silicon chip using CMOS technology. In operation, the Hall element detects the magnitude of magnetic flux density passing through the Hall plate in a direction perpendicular to the surface of the Hall plate, and generates an output signal that is representative of the sensed magnitude of magnetic flux density. Preferably, the output signal is a voltage signal. Further details regarding the characteristics and operation of magnetic flux sensors, and particularly a Hall-effect type magnetic flux sensor, are disclosed in U.S. Pat. No. 6,137,288 to Luetzow, the contents of which are incorporated herein in their entirety.
- One type of Hall-effect device that is suitable for use with the present invention is a programmable Hall-effect device manufactured by Micronas under Part No. HAL-805. Another suitable non-programmable Hall-effect device is manufactured by Ashai Kasei Electronics Co., Ltd. under Part No. HZ-302C (SIP type). It should be understood, however, that other types and configurations of Hall-effect devices are also contemplated as would occur to one of ordinary skill in the art. It should also be understood that other types of magnetic flux sensors are also contemplated for use in association with the present invention, such as, for example, a magneto-resistive (MR) sensor or any other magnetic field-sensitive sensor device that would occur to one of ordinary skill in the art. Use of the MR magnetic flux sensors is particularly advantageous in sensor applications where the operating environment exceeds 160 degrees Celsius.
- Referring to FIG. 3, the
magnets pole pieces permeable bracket 24 cooperate to generate a magnetic field M1. Likewise, themagnets pole pieces permeable bracket 24 cooperate to generate a magnetic field M2. As discussed above, the magnetic fields M1, M2 are preferably substantially symmetrical relative to the longitudinal axis L. In other words, the portion of the magnetic field on one side of the longitudinal axis L is virtually a mirror image of the portion of the magnetic field on the opposite side of the longitudinal axis L. Similarly, in a preferred embodiment of the invention, the magnetic field M1 is substantially symmetrical to the magnetic field M2 relative to the transverse axis T. - Notably, the magnetic field M1 generated by the
magnets pole pieces magnets pole pieces magnetic flux sensor 26 is disposed inside of the air gap G and is operable to sense the magnetic flux density associated with magnetic fields M1, M2 generally along longitudinal axis L. In one embodiment of the invention, the magnetic fields M1, M2 remain in a stationary position while themagnetic flux sensor 26 is displaced generally along longitudinal axis L. In another embodiment of the invention, themagnetic flux sensor 26 remains in a stationary position while the magnetic fields M1, M2 are displaced generally along the longitudinal axis L. It should also be understood that in other embodiments of the invention, themagnetic flux sensor 26 and the magnetic fields M1, M2 could both be displaced generally along the longitudinal axis L, either at different rates and/or in opposite directions relative to one another. Mechanisms for providing such relative displacement between themagnetic flux sensor 26 and the magnetic fields M1, M2 are well known to those skilled in the art and therefore need not be discussed herein. Such mechanisms include, for example, various types of carriers, rotors, shafts, linkages and brackets. - As discussed above, the
magnetic flux sensor 26 has a sensing plane S that is oriented substantially perpendicular to the longitudinal axis L and functions to sense varying magnitudes of magnetic flux density in directions substantially perpendicular to the sensing plane S (i.e., in directions substantially parallel to longitudinal axis L) during relative displacement between themagnetic flux sensor 26 and the magnetic fields M1, M2. Themagnetic flux sensor 26 in turn generates an electronic signal, such as a voltage signal, that is proportional to the magnitude of the sensed magnetic flux density. As will be discussed below, the magnetic field strength or flux density sensed by themagnetic flux sensor 26 is linearly proportional to the relative position of thesensor 26 along the longitudinal axis L. As will also be discussed below, the generated voltage signal is substantially linear over a predetermined distance of travel and exhibits minimal magnetic hysteresis. - Referring to FIG. 4, shown therein is a graph depicting varying magnitudes of magnetic flux density sensed by the
magnetic flux sensor 26 as a function of the relative linear displacement ofsensor 26 along longitudinal axis L. Illustrated in FIGS. 3 and 4 are three operational positions of thesensor 26 along longitudinal axis L; namely positions A, B and C. Positions A and B are separated by an axial travel distance d1 and positions B and C are separated by an axial travel distance d2. As should therefore be apparent, the overall axial travel distance of themagnetic flux sensor 26 is d1 and d2. - When located at position A, the sensed magnitude of the magnetic flux density passing through the sensing plane S is at or near −400 Gauss. As illustrated in FIG. 3, when the
sensor 26 is located at a position along distance d1, the magnetic field lines enter themagnetic flux sensor 26 throughsensing surface 26 a and exit through sensing surface 26 b. Notably, as the magnetic field lines pass through sensing plane S in this particular direction, the magnetic flux density is indicated as having a negative value. As themagnetic flux sensor 26 is displaced relative to the magnetic field M2 toward position B, the sensed magnetic flux density proportionally decreases in magnitude. When located at position B, the sensed magnitude of the magnetic flux density passing through the sensing plane S is at or near 0 Gauss. In other words, virtually no magnetic field lines pass through the sensing plane S in directions normal to the sensing plane S when thesensor 26 is located at position B. However, as themagnetic flux sensor 26 is displaced relative to the magnetic field M1 toward position C, the sensed magnetic flux density proportionally increases in magnitude. As illustrated in FIG. 3, when thesensor 26 is located at a position along distance d2, the magnetic field lines enter themagnetic flux sensor 26 through sensing surface 26 b and exit throughsensing surface 26 a. Notably, as the magnetic field lines pass through sensing plane S in this particular direction, the magnetic flux density is indicated as having a positive value. When located at position C, the sensed magnitude of the magnetic flux density passing through sensing plane S is at or near +400 Gauss. Although specific magnitudes of magnetic flux density have been disclosed herein, it should be understood that such magnitudes are for illustrative purposes only, and that other magnitudes of magnetic flux density are also contemplated as falling within the scope of the present invention. - Referring to FIG. 5, shown therein is a graph depicting change in the electronic signal output generated by the
magnetic flux sensor 26 as a function of relative linear displacement of thesensor 26 along the longitudinal axis L. As shown in FIG. 5, change in the signal output of thesensor 26 linearly varies assensor 26 is displaced relative to the magnetic fields M1, M2 along longitudinal axis L. As also illustrated in FIG. 5, the linear relationship between the position ofsensor 26 along axis L and the representative output signal exhibits less than ±1% deviation from a best-fit straight line. Although specific levels of voltage signal output have been disclosed herein, is should be understood that such levels are for illustrative purposes only, and that other levels and ranges of voltage signal output are also contemplated as falling within the scope of the present invention. It should be understood that other types of signal output are also contemplated, such as, for example, current signal output. - Although the illustrated embodiment of the magnetic sensor10 utilizes both of the magnetic fields M1, M2 to generate a signal output that linearly varies with respect to the relative position of the
sensor 26 along the longitudinal axis L, it should be understood that in other embodiments of the invention, only one of the magnetic fields M1, M2 need be used to generate a linearly varying signal output. Such an embodiment would provide a smaller sized sensor package. However, as should be appreciated, the length of the sensing path would correspondingly be reduced by about one-half. It should further be understood that in another embodiment of the invention, only one of themagnets magnetic flux sensor 26 relative to the longitudinal axis L. - Additionally, although the illustrated embodiment of the magnetic sensor10 uses a single
magnetic flux sensor 26, it should be understood that a plurality ofmagnetic flux sensors 26 may be positioned within one or both of the magnetic fields M1, M2 to generate multiple signal outputs for applications requiring redundant signal outputs and/or multiple signal output profiles. - Moreover, although the magnetic position sensor10 has been illustrated and described as a linear sensor (e.g., a sensor having a sensing path extending along a substantially linear axis), it should be understood that the magnetic sensor 10 could also be used in other applications, such as, for example, a rotational sensor (e.g., a sensor having a sensing path extending along an arcuate or circular axis). Additionally, although the magnetic sensor 10 is illustrated as being sized to accommodate a specific sensing distance along the longitudinal axis L, it should be understood that the magnetic circuit can easily be scaled up or scaled down to accommodate other sensing distances and/or to satisfy the particular operational requirements of the magnetic sensor.
- While the invention has been illustrated and described in detail in the drawings and foregoing description, the same is to be considered as illustrative and not restrictive in character, it being understood that only the preferred embodiments have been shown and described and that all changes and modifications that come within the spirit of the invention are desired to be protected.
Claims (40)
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US10/079,369 US6586929B1 (en) | 2001-12-14 | 2002-02-19 | Magnetic position sensor having shaped pole pieces for improved output linearity |
US10/325,531 US6798195B2 (en) | 2001-12-14 | 2002-12-19 | Magnetic position sensor having shaped pole pieces at least partially formed of a non-magnetic material for producing a magnetic field having varying magnetic flux density along an axis |
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US34057101P | 2001-12-14 | 2001-12-14 | |
US10/079,369 US6586929B1 (en) | 2001-12-14 | 2002-02-19 | Magnetic position sensor having shaped pole pieces for improved output linearity |
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