CN115238235A - Method and device for determining leakage inductance of linear motor, medium and railway vehicle - Google Patents
Method and device for determining leakage inductance of linear motor, medium and railway vehicle Download PDFInfo
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Abstract
The invention discloses a method and a device for determining leakage inductance of a linear motor, a medium and a rail vehicle, and is suitable for the field of motor analysis design. Establishing a three-dimensional rectangular coordinate system according to the structures of a primary winding and a secondary winding of the linear motor; the method comprises the steps of adding air gap current and mirror current into a current coil of the linear motor, processing the current coil through equivalent current large-section small sections of an iron core to determine large-section components and small-section components of the current coil at three axes respectively, using different small-section components of the three axes to determine the distance between different small sections of each coil, determining magnetic potential vectors on three axes according to the distance and the different large-section components of the three axes, further obtaining magnetic flux of the current coil corresponding to other coils, calculating end leakage inductance of the current coil by utilizing a magnetic potential vector method and a superposition theorem, and determining the end leakage inductance of each phase according to a position matrix of the linear motor. The whole process is based on the structure of the linear motor, and the calculation accuracy of end leakage inductance is improved.
Description
Technical Field
The invention relates to the field of motor analysis design, in particular to a method and a device for determining leakage inductance of a linear motor, a medium and a rail vehicle.
Background
At present, a leakage inductance determination method for a motor stator winding end is relatively complete, but the leakage inductance determination method is only limited to end leakage inductance of a common rotating motor, and mainly comprises the following steps: electromagnetic field calculation methods, finite element methods, and discrete integration methods.
Due to the particularity of the arrangement mode of the primary windings of the normally-conducting high-speed magnetic suspension linear motor, the primary windings are of an asymmetric structure, the rotating motor is of an axial symmetric structure, and the arrangement modes of the windings of the two motors are different, so that the method for determining the end leakage inductance of the common rotating motor cannot be applied to the normally-conducting high-speed magnetic suspension linear motor. Therefore, the end leakage inductance determining method for exploring the normally-conducting high-speed magnetic suspension linear motor is relatively poor, and the existing motor leakage inductance determining method is difficult to meet the actual leakage inductance requirement of the linear motor.
Therefore, a method for determining a linear motor is needed to be solved by those skilled in the art.
Disclosure of Invention
The invention aims to provide a method, a device, a medium and a rail vehicle for determining leakage inductance of a linear motor, wherein the whole process is based on the structure of the linear motor, and the calculation precision of the leakage inductance of the end part is improved.
In order to solve the above technical problem, the present invention provides a leakage inductance determination method for a linear motor, including:
establishing a three-dimensional rectangular coordinate system according to the structures of a primary winding and a secondary winding of the linear motor;
adding air gap current and mirror current into a current coil of the linear motor, carrying out segmented processing and segmental processing on equivalent current of the current coil passing through an iron core, and respectively determining a large segment component of a vector corresponding to the current large segment relative to three axes and a small segment component of the vector corresponding to the current small segment relative to the three axes according to a current large segment of the current coil and a midpoint coordinate corresponding to the current small segment;
determining the distance between each small section of the current coil and each small section of the Nth coil of other coils according to the relation between the midpoint coordinate of each small section and each small section component; determining the superposed magnetic potential vector of each small segment of the current coil at the three axes corresponding to each small segment of the Nth coil according to the distance and the superposition processing of each large segment component;
determining the magnetic flux of the current coil and the Nth coil according to each superposed magnetic potential vector, and determining the inductance value of the current coil, the self-inductance value of the current coil and the mutual inductance values between other coils according to the relationship between the magnetic flux and the current of the single-turn coil of the current coil so as to construct a mutual inductance matrix;
and determining the end leakage inductance of each phase according to the mutual inductance matrix, the position matrix of each coil and the relation matrix.
Preferably, the three-dimensional rectangular coordinate system is established according to the structure of the primary winding and the secondary winding of the linear motor, and comprises:
setting the axial symmetry line of the initial coil into which the current phase current flows as a Y axis and leading the direction to be from bottom to top;
the plane of the X axis which is vertically crossed with the Y axis is coplanar with the planes of the primary winding and the secondary winding of the linear motor, and the direction of the plane is from left to right;
taking 1/2 line corresponding to the air gap between the primary winding and the secondary winding as a plane where the Z axis is located;
a three-dimensional rectangular coordinate system is established by setting a Y axis, an X axis and a Z axis, and the positive current direction of the linear motor is the right-hand rule direction.
Preferably, the step of adding air gap current and mirror current to the current coil and the step of processing the equivalent current of the current coil passing through the iron core in a large segment includes:
according to the actual structure of the end part of the current coil, taking the upper layer straight line part and the upper layer side bevel edge part through which the current of the current coil passes as a first four major segments;
taking the lower layer straight line part through which the current passes and the lower layer side bevel edge part as a second four large sections of the part through which the mirror image current passes;
taking air gaps at two ends through which current passes as air gap current, and taking a part through which the air gap current passes as a first two large sections;
taking the part of the current coil passing through the equivalent current of the iron core as a second two major segments;
and integrating the first four large sections, the second four large sections, the first two large sections and the second two large sections as the result of the large-section processing of the current coil.
Preferably, the construction process of the position matrix comprises the following steps:
and arranging the coils according to the positions of the coils in the coil slots corresponding to the iron core to obtain a position matrix.
Preferably, the construction process of the incidence matrix comprises the following steps:
acquiring each phase winding and each coil of the linear motor;
when the current direction of the phase winding is the same as that of the phase current, setting the association element corresponding to the coil corresponding to the phase winding in the slot as 1;
when the current direction of the phase winding is opposite to that of the phase current, setting the relevant element corresponding to the slot where the coil corresponding to the phase winding is located as-1;
when the current direction of the phase winding is irrelevant to the current direction of the phase current, setting the relevant element corresponding to the slot where the coil corresponding to the phase winding is positioned as 0;
and constructing a correlation matrix according to the correlation elements of the phase windings.
Preferably, the number of the small sections corresponding to the upper layer straight line part and the lower layer straight line part, the upper layer side bevel edge part and the lower layer side bevel edge part, the air gap current passing part and the equivalent current passing part is the same.
Preferably, the method further comprises the following steps:
acquiring corresponding included angle parameters between the currents of all phases;
and determining the final end leakage inductance of each phase according to the corresponding relation between the parameters of each included angle and the end leakage inductance of each phase.
In order to solve the above technical problem, the present invention further provides a leakage inductance determining apparatus for a linear motor, including:
the building module is used for building a three-dimensional rectangular coordinate system according to the structures of a primary winding and a secondary winding of the linear motor;
the first determining module is used for adding air gap current and mirror current into a current coil of the linear motor and carrying out segmentation processing and segmentation processing on equivalent current of the current coil passing through an iron core, and respectively determining a large segment component of a vector corresponding to the current large segment relative to three axes and a small segment component of the vector corresponding to the current small segment relative to the three axes according to a midpoint coordinate of the current large segment of the current coil and the current small segment;
the second determining module is used for determining the distance between each small section of the current coil and each small section of the Nth coil of other coils according to the relation between the midpoint coordinate of each small section and each small section component; determining the superposed magnetic potential vector of each small segment of the current coil at the three axes corresponding to each small segment of the Nth coil according to the distance and the superposition processing of each large segment component;
the third determining module is used for determining the magnetic fluxes of the current coil and the Nth coil according to the superposed magnetic potential vectors, and determining the inductance value of the current coil, the self-inductance value of the current coil and the mutual inductance values between other coils according to the relation between the magnetic fluxes and the single-turn coil current of the current coil so as to construct a mutual inductance matrix;
and the fourth determining module is used for determining the end leakage inductance of each phase according to the mutual inductance matrix, the position matrix of each coil and the relation matrix.
In order to solve the above technical problem, the present invention further provides a leakage inductance determining apparatus for a linear motor, including:
a memory for storing a computer program;
and the processor is used for realizing the steps of the leakage inductance determination method of the linear motor when executing the computer program.
In order to solve the above technical problem, the present invention further provides a computer-readable storage medium, on which a computer program is stored, and the computer program, when executed by a processor, implements the steps of the leakage inductance determination method for a linear motor as described above.
In order to solve the technical problem, the invention further provides a rail vehicle, which comprises the leakage inductance determining device of the linear motor.
The invention provides a method for determining leakage inductance of a linear motor, which comprises the following steps: establishing a three-dimensional rectangular coordinate system according to the structures of a primary winding and a secondary winding of the linear motor; adding air gap current and mirror current into a current coil of the linear motor, and carrying out segmentation processing and subsection processing on equivalent current of the current coil passing through an iron core, and respectively determining a large-segment component of a vector corresponding to the current large segment relative to the three axes and a subsection component of the vector corresponding to the current subsection relative to the three axes according to a current large segment of the current coil and a midpoint coordinate corresponding to the current subsection; determining the distance between each small section of the current coil and each small section of the Nth coil of other coils according to the relation between the midpoint coordinate of each small section and each small section component; determining the superposed magnetic potential vector of each small segment of the current coil at the three axes corresponding to each small segment of the Nth coil according to the distance and the superposition processing of each large segment component; determining the magnetic fluxes of the current coil and the Nth coil according to the superposed magnetic potential vectors, and determining the inductance value of the current coil, the self-inductance value of the current coil and the mutual inductance values between other coils according to the relationship between the magnetic fluxes and the single-turn coil current of the current coil to construct a mutual inductance matrix; and determining the end leakage inductance of each phase according to the mutual inductance matrix, the position matrix of each coil and the relation matrix. The method comprises the steps of determining large-segment components and small-segment components of a current coil at three axes respectively through large-segment small-segment processing, using different small-segment components of the three axes for determining distances between different small segments of each coil, determining magnetic potential vectors on three axes according to the distances and the different large-segment components of the three axes, and further obtaining magnetic fluxes of the current coil corresponding to other coils. The whole process is based on the structure of the linear motor, and the calculation accuracy of end leakage inductance is improved.
In addition, the invention also provides a device for determining the leakage inductance of the linear motor, a medium and a railway vehicle, which have the same beneficial effects as the method for determining the leakage inductance of the linear motor.
Drawings
In order to illustrate the embodiments of the present invention more clearly, the drawings that are needed in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings can be obtained by those skilled in the art without inventive effort.
Fig. 1 is a flowchart of a method for determining leakage inductance of a linear motor according to an embodiment of the present invention;
fig. 2 is a schematic diagram of a primary winding arrangement according to an embodiment of the present invention;
fig. 3 is a schematic diagram of a coordinate system established by a single coil according to an embodiment of the present invention;
fig. 4 is a structural diagram of a leakage inductance determining apparatus of a linear motor according to an embodiment of the present invention;
fig. 5 is a structural diagram of another leakage inductance determination apparatus for a linear motor according to an embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments obtained by a person of ordinary skill in the art based on the embodiments of the present invention without any creative work belong to the protection scope of the present invention.
The core of the invention is to provide a method, a device, a medium and a rail vehicle for determining the leakage inductance of the linear motor, wherein the whole process is based on the structure of the linear motor, and the calculation precision of the leakage inductance of the end part is improved.
In order that those skilled in the art will better understand the disclosure, the invention will be described in further detail with reference to the accompanying drawings and specific embodiments.
It should be noted that the linear motor is called a linear motor, converts an electrical signal into a linear motion, and is a difference from a rotating electrical machine, and compared with the rotating electrical machine, the linear motor has the advantages of simple structure, high positioning accuracy, high response speed, high sensitivity, safe and reliable operation, long service life, and high operation speed. The linear motor mainly comprises a stator, a rotor and a support wheel which moves linearly. For example, the good electromagnetic field coupling between the stator and the rotor within the stroke range is ensured, and the lengths of the iron cores of the stator and the rotor are unequal. The linear motor can perform ultra-precise linear motion, so the application field is wide, such as magnetic suspension train, robot technology, mechanical arm, precision microlithography industry, printed Circuit Board (PCB) industry, laser precision cutting industry, semiconductor industry, computer Numerical Control (CNC) processing machine industry, flat Panel Display (FPD) detection industry, battery energy industry, intelligent factory key technology and integral scheme, and the like.
Fig. 1 is a flowchart of a method for determining leakage inductance of a linear motor according to an embodiment of the present invention, as shown in fig. 1, the method includes:
s11: establishing a three-dimensional rectangular coordinate system according to the structures of a primary winding and a secondary winding of the linear motor;
s12: adding air gap current and mirror current into a current coil of the linear motor, and carrying out segmentation processing and subsection processing on equivalent current of the current coil passing through an iron core, and respectively determining a large-segment component of a vector corresponding to the current large segment relative to the three axes and a subsection component of the vector corresponding to the current subsection relative to the three axes according to a current large segment of the current coil and a midpoint coordinate corresponding to the current subsection;
s13: determining the distance between each small section of the current coil and each small section of the Nth coil of other coils according to the relation between the midpoint coordinate of each small section and each small section component; determining the superposed magnetic potential vector of each small segment of the current coil at the three axes corresponding to each small segment of the Nth coil according to the distance and the superposition processing of each large segment component;
s14: determining the magnetic flux of the current coil and the Nth coil according to each superposed magnetic potential vector, and determining the inductance value of the current coil, the self-inductance value of the current coil and the mutual inductance values between other coils according to the relationship between the magnetic flux and the current of the single-turn coil of the current coil so as to construct a mutual inductance matrix;
s15: and determining the end leakage inductance of each phase according to the mutual inductance matrix, the position matrix of each coil and the relation matrix.
In particular, a linear motor can be considered as an evolution of the structure of a rotating electrical machine, which can be considered as a flat type linear motor formed by cutting the rotating electrical machine in a radial direction and then spreading the machine in a straight line along the circumference. The side evolved from the stator of the rotating electrical machine is called the primary side and the side evolved from the rotor of the rotating electrical machine is called the secondary side. In order to facilitate formation and analysis of end leakage inductance, a three-dimensional rectangular coordinate system is established according to the structures of a primary winding and a secondary winding of a linear motor, as an embodiment, axial symmetry of a current flowing into a starting coil is set as a Y axis, a plane where the primary winding and the secondary winding of the linear motor are located and a Z axis are located are in the same plane, 1/2 of an air gap between the primary winding and the secondary winding is a plane where the Z axis is located, the direction of the current follows a right-hand rule principle, an axial symmetry line of the starting coil into which the current flows is set as the Y axis and has a direction from bottom to top, the plane where the X axis is located and the plane where the primary winding and the secondary winding of the linear motor are located are coplanar, the direction is from left to right, an intersection point of the X axis and the Y axis is a starting point, and the positive direction accords with the right-hand rule. Fig. 2 is a schematic diagram of a primary winding arrangement according to an embodiment of the present invention, as shown in fig. 2, a three-phase current is shared, a rectangular coordinate system is determined by a current direction, and 1, 2, and 3 represent three-phase coils of the primary winding, respectively.
The method is characterized in that the coordinate setting is carried out on key points of a coil according to the existing motor parameters, a single coil is taken as an example, air gap current, mirror image current and equivalent current of the coil passing through an iron core are correspondingly accessed, when an alternating current power supply is connected to a primary winding, a traveling wave magnetic field is generated in an air gap, an electromotive force is induced and current is generated under the cutting of the traveling wave magnetic field by a secondary winding, and the electromagnetic thrust is generated by the interaction of the current and the magnetic field in the air gap.
And adding air gap current and mirror current into a current coil of the linear motor and carrying out segmented processing and segmented processing on equivalent current of the current coil passing through the iron core. According to the actual structure of the coil end, the straight line parts of the upper and lower layers through which current passes, the inclined edge parts of the upper and lower layers, the part through which air gap current flows and the part through which equivalent current of the coil passes through the iron core are defined as large sections, and the large sections are divided into a plurality of small sections. The large-segment processing and the small-segment processing in this embodiment are sequentially performed, and on the basis of the large-segment processing, the small segments are continuously divided into the large segments, and taking the large segments as an example, in order to simply set the segmentation processing corresponding to different key points, as a preferred embodiment, according to the actual structure of the end of the current coil, the upper-layer straight line part through which the current of the current coil passes and the upper-layer edge bevel edge part are taken as the first four large segments; taking the lower layer straight line part through which the current passes and the lower layer side bevel edge part as a second four large sections of the part through which the mirror image current passes; taking air gaps at two ends through which current passes as air gap current, and taking a part through which the air gap current passes as a first two large sections; taking the part of the current coil passing through the equivalent current of the iron core as a second two major segments; and integrating the first four large sections, the second four large sections, the first two large sections and the second two large sections as the result of the large-section processing of the current coil. It can be seen that the coil is divided into 12 large segments depending on the current coil configuration.
Fig. 3 is a schematic diagram of a coordinate system established by a single coil according to an embodiment of the present invention, and as shown in fig. 3, the first four major segments are AB, BC, CD, and DE, where the upper layer straight line portions are AB and DE, and the upper layer oblique side portions are BC and CD. The second four major segments are A 'B', B 'C', C 'D' and D 'E', the lower linear portions are A 'B' and D 'E', and the lower inclined edge portions are B 'C' and C 'D'. Regarding the air gaps with air gap currents between a and a ', E and E', the equivalent current of the coil passing through the core cannot be shown because fig. 2 is the XY-axis plane.
The current values are sequentially given after the current coil is processed in a large section, and then the small section processing is continued on the basis of the large section, it is to be noted that the small section processing is similar to the large section processing, the small sections need to be divided in the current large section, the number of the small sections is not specifically limited, and the small sections can be determined according to actual conditions or empirical values, and are not specifically described here.
After the large segments and the small segments are processed, a midpoint coordinate is sequentially taken for each large segment, a midpoint coordinate is taken for each small segment, components delta lx, delta ly and delta lz of each segment vector on the winding coil edge on X, Y and Z axes are respectively calculated on the basis of the midpoint coordinate taken for each large segment, namely large segment components, and components delta lx ', delta ly ' and delta lz ' of each segment vector on the winding coil table on the X, Y and Z axes are respectively calculated on the basis of the midpoint coordinate taken for each small segment, namely small segment components. It should be noted that the large and small segment processing and the large and small segment components may also be performed first by performing the large segment processing, then calculating the large segment component, and then performing the small segment processing, and then calculating the small segment component. The present invention is not particularly limited.
The distance R between each small segment of the current coil and each small segment of the nth coil of other coils is determined according to the relationship between the midpoint coordinate of each small segment and each small segment component. For example, the m-th and m-th sections of coil No. 1 are calculated according to the coordinates of the middle point of each section k Distance from the midpoint of the nth segment in the signal loop.
And determining the superposed magnetic potential vector of each small section of the current coil at the three axes corresponding to each small section of the Nth coil according to the superposition processing of the distance and each large section component, wherein the superposed magnetic potential vector at the three axes of the embodiment is obtained by superposing the vector components on the corresponding axes (X, Y and Z axes) according to different current values and the corresponding large section components at different axes so as to unify the vector magnetic potential. The formula is as follows:
wherein dl represents the major components of X-axis, Y-axis and Z-axis in three formulas, I x 、I y And I z The current values given after the step-up treatment are respectively, and μ is the magnetic permeability of the medium.
After the superposed magnetic potential vectors of all the axes are obtained, the magnetic flux of the turn-linkage of the current coil and the end part of the Nth coil is determined according to the formula of Toasks, wherein the formula is as follows:
wherein A is the current value of the current coil, and A of the three axes of the above formula x 、A y And A z And (6) unifying.
According to the formula of the inductance of a single-turn coil:
where i represents the current value flowing through each turn of the coil in the present coil.
The inductance value of the current coil, the self-inductance value of the current coil and the mutual inductance value between other coils can be further obtained. For example, a primary winding has 18 coils with 36 slots and is wound in a single layer pitch, see fig. 2. Mutual inductances between the coil No. 1 and the self inductance thereof and the other 17 coils are respectively obtained, and a mutual inductance matrix of 1 x 18 is formed together.
And determining end leakage inductance between phases according to the relation between the mutual inductance matrix and the position matrix of each coil.
The formula is as follows:
wherein, the value ranges of i and j are both 1-3, wherein L (i, j) represents the end mutual inductance between i phase and j phase in the high-speed magnetic suspension linear motor, p represents the pole pair number of the motor, M represents the phase number of the motor, k represents the specific coil number, M represents the coil number 1 Representing the mutual inductance matrix, and H is the correlation matrix.
The position matrix is combined with the above example to be a 6X6 matrix, and the positions of different windings are represented by 1-36, and the nesting in the mutual inductance matrix can play a role in accurately calling the mutual inductance value between the two corresponding windings. The incidence matrix is the relation between the phase winding and each slot coil, the elements in H are composed of 0, 1 and-1, the invention takes the coils on two sides where the current flows in and out as a unit, if the current flow direction is clockwise, the incidence matrix corresponding to the slot where the left coil is located is 1, if the current flow direction is anticlockwise, the incidence matrix is-1, if a certain phase current does not flow in the coil, the corresponding element is 0.
The invention provides a method for determining leakage inductance of a linear motor, which comprises the following steps: establishing a three-dimensional rectangular coordinate system according to the structures of a primary winding and a secondary winding of the linear motor; adding air gap current and mirror current into a current coil of the linear motor, and carrying out segmentation processing and subsection processing on equivalent current of the current coil passing through an iron core, and respectively determining a large-segment component of a vector corresponding to the current large segment relative to the three axes and a subsection component of the vector corresponding to the current subsection relative to the three axes according to a current large segment of the current coil and a midpoint coordinate corresponding to the current subsection; determining the distance between each small section of the current coil and each small section of the Nth coil of other coils according to the relation between the midpoint coordinate of each small section and each small section component; determining the superposed magnetic potential vector of each small segment of the current coil at the three axes corresponding to each small segment of the Nth coil according to the distance and the superposition processing of each large segment component; determining the magnetic fluxes of the current coil and the Nth coil according to the superposed magnetic potential vectors, and determining the inductance value of the current coil, the self-inductance value of the current coil and the mutual inductance values between other coils according to the relationship between the magnetic fluxes and the single-turn coil current of the current coil to construct a mutual inductance matrix; and determining the end leakage inductance of each phase according to the mutual inductance matrix, the position matrix of each coil and the relation matrix. The method comprises the steps of determining large-segment components and small-segment components of a current coil at three axes respectively through large-segment small-segment processing, using different small-segment components of the three axes for determining distances between different small segments of each coil, determining magnetic potential vectors on three axes according to the distances and the different large-segment components of the three axes, and further obtaining magnetic fluxes of the current coil corresponding to other coils. The whole process is based on the structure of the linear motor, and the calculation accuracy of end leakage inductance is improved.
On the basis of the above embodiment, the construction process of the position matrix in step S15 includes the following steps:
and arranging the coils at the positions of the coil slots corresponding to the iron core to obtain a position matrix.
Because the structure of the linear motor is different from that of the rotating motor, and the linear motor is an asymmetric structure, the positions of the coils of the linear motor at the coil slots corresponding to the iron core need to be combined to be arranged to construct a position matrix, and in combination with the above example, 18 coils and 36 slots in total, 36 slots are numbered sequentially from 1 to 36 to construct a 6X6 matrix.
According to the mutual inductance matrix, the coils are arranged according to the positions of the coil slots corresponding to the iron core to obtain the position matrix, and the mutual inductance values between the two corresponding windings can be accurately called by nesting the coils in the mutual inductance matrix through setting the positions of the different windings.
On the basis of the above embodiment, the construction process of the incidence matrix in step S15 includes the following steps:
acquiring each phase winding and each coil of the linear motor;
when the current direction of the phase winding is the same as that of the phase current, setting the association element corresponding to the coil corresponding to the phase winding in the slot as 1;
when the current direction of the phase winding is opposite to that of the phase current, setting the relevant element corresponding to the slot where the coil corresponding to the phase winding is located as-1;
when the current direction of the phase winding is irrelevant to the current direction of the phase current, setting the relevant element corresponding to the slot where the coil corresponding to the phase winding is positioned as 0;
and constructing a correlation matrix according to the correlation elements of the phase windings.
Specifically, a coil and phase winding association matrix is written by taking a coil as a basic unit, and when the current direction of a phase winding is the same as that of phase current, the association element corresponding to the slot where the coil corresponding to the phase winding is located is set to be 1; when the current direction of the phase winding is opposite to that of the phase current, setting the relevant element corresponding to the slot where the coil corresponding to the phase winding is located as-1; when the current direction of the phase winding is irrelevant to the current direction of the phase current, the associated element corresponding to the slot where the coil corresponding to the phase winding is located is set to 0.
According to the construction incidence matrix provided by the invention, the end leakage inductance among phases is obtained, and the respective end leakage inductance is further considered through the incidence matrix.
On the basis of the above embodiment, the number of the segmentation processing is determined according to actual conditions or empirical values, wherein the number of the small segments corresponding to the upper layer straight line part and the lower layer straight line part, the upper layer side oblique edge part and the lower layer side oblique edge part, the part through which the air gap current passes, and the part through which the equivalent current passes is the same.
Specifically, the subsequent calculation processing is facilitated, and the flow is simplified, so that the numbers of small segments corresponding to the same straight line portions are respectively the same.
The number of the small sections corresponding to the upper layer linear part and the lower layer linear part, the upper layer edge bevel edge part and the lower layer edge bevel edge part, the air gap current passing part and the equivalent current passing part provided by the embodiment of the invention is the same, so that the subsequent calculation processing is convenient, and the flow is simplified.
On the basis of the above embodiment, included angles exist between different phase currents, so that when other phase coils affect a certain phase coil, the determination needs to be performed in combination with an angle relationship, and the method further includes:
acquiring corresponding included angle parameters between the currents of all phases;
and determining the final end leakage inductance of each phase according to the corresponding relation between the parameters of each included angle and the end leakage inductance of each phase.
It can be understood that the parameters of the included angle between the currents of each phase are comprehensively considered to determine the final leakage inductance of the end part of each phase, so that the calculation of the leakage inductance of the end part caused by the influence generated between the coils of each phase is avoided being inaccurate.
The method includes the steps that corresponding included angle parameters between currents of all phases are obtained; and determining the final end leakage inductance of each phase according to the corresponding relation between the parameters of each included angle and the end leakage inductance of each phase. The calculation precision of end leakage inductance is improved, and the reliability of the linear motor is ensured.
On the basis that the embodiments corresponding to the method for determining the leakage inductance of the linear motor are described in detail, the invention further discloses a device for determining the leakage inductance of the linear motor corresponding to the methods, and fig. 4 is a structural diagram of the device for determining the leakage inductance of the linear motor provided by the embodiment of the invention. As shown in fig. 4, the leakage inductance determination apparatus of a linear motor includes:
the building module 11 is used for building a three-dimensional rectangular coordinate system according to the structures of the primary winding and the secondary winding of the linear motor;
the first determining module 12 is configured to add an air gap current and a mirror current to a current coil of the linear motor, perform segmentation processing and segmentation processing on an equivalent current of the current coil passing through the iron core, and determine a large segment component of a vector corresponding to the current large segment with respect to three axes and a small segment component of the vector corresponding to the current small segment with respect to three axes according to a midpoint coordinate of the current large segment of the current coil and the current small segment;
a second determining module 13, configured to determine, according to the relationship between the midpoint coordinate of each small segment and each small segment component, a distance between each small segment of the current coil and each small segment of the nth coil of another coil; and determining the superposed magnetic potential vector of each small section of the current coil at the corresponding three axes of each small section of the Nth coil according to the superposition processing of the distance and each large section component;
a third determining module 14, configured to determine magnetic fluxes of the current coil and the nth coil according to the respective superposed magnetic potential vectors, and determine an inductance value of the current coil, a self-inductance value of the current coil, and mutual inductance values between other coils according to a relationship between the magnetic fluxes and a single-turn coil current of the current coil to construct a mutual inductance matrix;
and a fourth determining module 15, configured to determine end leakage inductance of each phase according to a relationship between the mutual inductance matrix, the position matrix of each coil, and the association matrix.
Since the embodiment of the apparatus portion corresponds to the above-mentioned embodiment, please refer to the above-mentioned embodiment of the method portion for describing the embodiment of the apparatus portion, and details are not repeated herein.
For the introduction of the leakage inductance determining apparatus of the linear motor provided by the present invention, please refer to the above method embodiment, which is not repeated herein, and has the same beneficial effects as the leakage inductance determining method of the linear motor.
Fig. 5 is a structural diagram of another leakage inductance determining apparatus for a linear motor according to an embodiment of the present invention, as shown in fig. 5, the apparatus includes:
a memory 21 for storing a computer program;
a processor 22 for implementing the steps of the method for determining leakage inductance of a linear motor when executing the computer program.
The leakage inductance determination device for the linear motor provided in this embodiment may include, but is not limited to, a tablet computer, a notebook computer, or a desktop computer.
The processor 22 may include one or more processing cores, such as a 4-core processor, an 8-core processor, and so on. The Processor 22 may be implemented in hardware using at least one of a Digital Signal Processor (DSP), a Field-Programmable Gate Array (FPGA), and a Programmable Logic Array (PLA). The processor 22 may also include a main processor and a coprocessor, where the main processor is a processor for Processing data in a wake state, and is also called a Central Processing Unit (CPU); a coprocessor is a low power processor for processing data in a standby state. In some embodiments, the processor 22 may be integrated with a Graphics Processing Unit (GPU) that is responsible for rendering and drawing the content that the display screen needs to display. In some embodiments, processor 22 may also include an Artificial Intelligence (AI) processor for processing computational operations related to machine learning.
In some embodiments, the leakage inductance determination device of the linear motor may further include a display screen 23, an input/output interface 24, a communication interface 25, a power supply 26, and a communication bus 27.
Those skilled in the art will appreciate that the configuration shown in fig. 5 does not constitute a limitation of the leakage inductance determination means of the linear motor and may include more or fewer components than those shown.
The processor 22 calls the instructions stored in the memory 21 to implement the method for determining the leakage inductance of the linear motor provided in any of the above embodiments.
For the introduction of the leakage inductance determining apparatus of the linear motor provided by the present invention, please refer to the above method embodiment, which is not repeated herein, and has the same beneficial effects as the leakage inductance determining method of the linear motor.
Further, the present invention also provides a computer readable storage medium, on which a computer program is stored, and the computer program, when being executed by the processor 22, implements the steps of the leakage inductance determination method for a linear motor as described above.
It is to be understood that if the method in the above embodiments is implemented in the form of software functional units and sold or used as a stand-alone product, it can be stored in a computer readable storage medium. Based on such understanding, the technical solution of the present invention, which is substantially or partially contributed by the prior art, or all or part of the technical solution may be embodied in a software product, which is stored in a storage medium and performs all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk, an optical disk, or other various media capable of storing program codes.
For the introduction of the computer-readable storage medium provided by the present invention, please refer to the above method embodiment, which is not repeated herein, and has the same beneficial effects as the above method for determining leakage inductance of a linear motor.
Finally, the present application further provides an embodiment corresponding to a rail vehicle, including the leakage inductance determining apparatus for a linear motor described above, which may refer to a specific embodiment of the leakage inductance determining method for a linear motor, and is not described herein again.
The rail vehicle provided by the embodiment comprises the leakage inductance determining device of the linear motor, and the effect is the same as that of the leakage inductance determining device of the linear motor.
The method for determining leakage inductance of a linear motor, the device for determining leakage inductance of a linear motor, the medium, and the rail vehicle according to the present invention have been described in detail. The embodiments are described in a progressive mode in the specification, the emphasis of each embodiment is on the difference from the other embodiments, and the same and similar parts among the embodiments can be referred to each other. The device disclosed by the embodiment corresponds to the method disclosed by the embodiment, so that the description is simple, and the relevant points can be referred to the method part for description. It should be noted that, for those skilled in the art, it is possible to make various improvements and modifications to the present invention without departing from the principle of the present invention, and those improvements and modifications also fall within the scope of the claims of the present invention.
It is further noted that, in the present specification, relational terms such as first and second, and the like are used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrases "comprising one of 8230; \8230;" 8230; "does not exclude the presence of additional like elements in a process, method, article, or apparatus that comprises the element.
Claims (11)
1. A method for determining leakage inductance of a linear motor, comprising:
establishing a three-dimensional rectangular coordinate system according to the structures of the primary winding and the secondary winding of the linear motor;
adding air gap current and mirror current into a current coil of the linear motor, and carrying out segmentation processing and segmentation processing on equivalent current of the current coil passing through an iron core, and respectively determining a large segment component of a vector corresponding to the current large segment relative to three axes and a small segment component of the vector corresponding to the current small segment relative to the three axes according to a middle point coordinate corresponding to the current large segment and the current small segment of the current coil;
determining a distance between each of the minor segments of the current coil and each of the minor segments of the Nth coil of the other coil based on a relationship of a midpoint coordinate of each of the minor segments and each of the minor segment components; and determining a superposed magnetic potential vector of each small segment of the current coil at the three axes corresponding to each small segment of the Nth coil according to the distance and each large segment component superposition processing;
determining the magnetic flux of the current coil and the Nth coil according to each superposed magnetic potential vector, and determining the inductance value of the current coil, the self-inductance value of the current coil and the mutual inductance values between the other coils according to the relation between the magnetic flux and the single-turn coil current of the current coil to construct a mutual inductance matrix;
and determining the end leakage inductance of each phase according to the mutual inductance matrix, the position matrix of each coil and the relationship of the association matrix.
2. The method for determining leakage inductance of a linear motor according to claim 1, wherein the establishing a three-dimensional rectangular coordinate system according to the structure of the primary winding and the secondary winding of the linear motor comprises:
setting the axial symmetry line of the initial coil into which the current phase current flows as a Y axis and leading the direction to be from bottom to top;
a plane of an X axis which is vertically crossed with the Y axis is coplanar with planes of the primary winding and the secondary winding of the linear motor, and the direction of the plane is from left to right;
taking 1/2 line corresponding to an air gap between the primary winding and the secondary winding as a plane where a Z axis is located;
through setting for the Y axle, the X axle with the Z axle is in order to establish three-dimensional rectangular coordinate system just linear electric motor's electric current positive direction is right hand rule direction.
3. The method for determining leakage inductance of a linear motor according to claim 2, wherein the step of adding air gap current and mirror current to the current coil and performing segmentation processing on equivalent current of the current coil passing through an iron core comprises the following steps:
according to the actual structure of the end part of the current coil, taking the upper layer straight line part and the upper layer side bevel edge part through which the current of the current coil passes as a first four major segments;
taking the lower layer straight line part through which the current passes and the lower layer side bevel edge part as a second four-section of the part through which the mirror image current passes;
taking an air gap at two ends through which the current passes as the air gap current, and taking a part through which the air gap current passes as a first two large sections;
taking the part of the current coil passing through the equivalent current of the iron core as a second two major segments;
and integrating the first four large sections, the second four large sections, the first two large sections and the second two large sections as the result of the large-section processing of the current coil.
4. The method for determining leakage inductance of a linear motor according to claim 3, wherein the construction process of the position matrix comprises the following steps:
and arranging the coils according to the positions of the coils in the coil slots corresponding to the iron core to obtain the position matrix.
5. The method for determining leakage inductance of a linear motor according to claim 1, wherein the construction process of the correlation matrix comprises the steps of:
acquiring each phase winding and each coil of the linear motor;
when the current direction of the phase winding is the same as that of the phase current, setting the association element corresponding to the slot where the coil corresponding to the phase winding is located as 1;
when the current direction of the phase winding is opposite to that of the phase current, setting the association element corresponding to the slot where the coil corresponding to the phase winding is located as-1;
when the current direction of the phase winding is irrelevant to the current direction of the phase current, setting the relevant element corresponding to the slot where the coil corresponding to the phase winding is located to be 0;
and constructing the incidence matrix according to the incidence elements of the phase windings.
6. The method of claim 3, wherein the number of segments corresponding to the upper linear portion and the lower linear portion, the upper oblique portion and the lower oblique portion, the portion through which the air gap current passes, and the portion through which the equivalent current passes is the same.
7. The method for determining leakage inductance of a linear motor according to claim 2 or 5, further comprising:
acquiring corresponding included angle parameters between the phase currents;
and determining the final end leakage inductance of each phase according to the corresponding relation between the included angle parameters and the end leakage inductances of each phase.
8. A leakage inductance determination device for a linear motor, comprising:
the establishing module is used for establishing a three-dimensional rectangular coordinate system according to the structures of the primary winding and the secondary winding of the linear motor;
a first determining module, configured to add an air gap current and a mirror current to a current coil of the linear motor, perform segmentation processing and segmentation processing on an equivalent current of the current coil passing through an iron core, and determine, according to a current segment of the current coil and a midpoint coordinate corresponding to the current segment, a large segment component of a vector corresponding to the current segment with respect to three axes and a small segment component of the vector corresponding to the current segment with respect to the three axes, respectively;
a second determining module, configured to determine a distance between each of the small segments of the current coil and each of the small segments of an nth coil of other coils according to a relationship between a midpoint coordinate of each of the small segments and each of the small segment components; and determining a superposed magnetic potential vector of each small segment of the current coil at the three axes corresponding to each small segment of the Nth coil according to the distance and each large segment component superposition processing;
a third determining module, configured to determine, according to each of the superimposed magnetic potential vectors, magnetic fluxes of the current coil and the nth coil, and determine, according to a relationship between the magnetic fluxes and a single-turn coil current of the current coil, an inductance value of the current coil, a self-inductance value of the current coil, and mutual inductance values between the other coils to construct a mutual inductance matrix;
and the fourth determining module is used for determining the end leakage inductance of each phase according to the mutual inductance matrix, the position matrix of each coil and the relation matrix.
9. A leakage inductance determination device for a linear motor, comprising:
a memory for storing a computer program;
a processor for implementing the steps of the method of determining leakage inductance of a linear electric motor according to any one of claims 1 to 7 when executing said computer program.
10. A computer-readable storage medium, characterized in that a computer program is stored thereon, which computer program, when being executed by a processor, carries out the steps of the method of determining a leakage inductance of a linear motor according to any one of claims 1 to 7.
11. A rail vehicle, characterized by comprising the leakage inductance determination device of a linear motor according to claim 9.
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| CN202210928505.9A CN115238235A (en) | 2022-08-03 | 2022-08-03 | Method and device for determining leakage inductance of linear motor, medium and railway vehicle |
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| CN202210928505.9A CN115238235A (en) | 2022-08-03 | 2022-08-03 | Method and device for determining leakage inductance of linear motor, medium and railway vehicle |
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