CN111797495A - Simulink modeling method for single-winding magnetic suspension switched reluctance motor - Google Patents

Simulink modeling method for single-winding magnetic suspension switched reluctance motor Download PDF

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CN111797495A
CN111797495A CN202010423413.6A CN202010423413A CN111797495A CN 111797495 A CN111797495 A CN 111797495A CN 202010423413 A CN202010423413 A CN 202010423413A CN 111797495 A CN111797495 A CN 111797495A
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winding
model
switched reluctance
reluctance motor
torque
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CN111797495B (en
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林文威
刘檑
张�浩
孙刘贝
钱新
王昇浩
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State Grid Zhejiang Ruian Power Supply Co ltd
Wenzhou Power Supply Co of State Grid Zhejiang Electric Power Co Ltd
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State Grid Zhejiang Ruian Power Supply Co ltd
Wenzhou Power Supply Co of State Grid Zhejiang Electric Power Co Ltd
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06F17/10Complex mathematical operations
    • G06F17/11Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems

Abstract

The invention relates to a single-winding magnetic suspension switched reluctance motor simulink modeling method, which solves winding current by establishing a model through analyzing the relation among bus voltage of each winding, winding current, winding inductance, winding resistance and flux linkage. Introducing simulation data of a single-winding magnetic suspension switched reluctance motor in ANSOFT (ANSOFT), and establishing a relation model of winding current A1, a rotor position angle and winding inductance through a two-dimensional interpolation module in simulink; and respectively establishing a relation model of winding current, in-phase coaxial tooth pole winding current, rotor position angle, suspension force and torque through a three-dimensional interpolation module. Finally, parameters such as winding current, suspension force, torque, motor rotating speed, rotor radial displacement and the like of the single-winding magnetic suspension switched reluctance motor can be solved through the model. The single-winding magnetic suspension switched reluctance motor simulink modeling method disclosed by the invention avoids the derivation of a complex single-winding magnetic suspension switched reluctance motor mathematical model, and has the advantages of high modeling precision and wide simulation parameter range.

Description

Simulink modeling method for single-winding magnetic suspension switched reluctance motor
Technical Field
The invention relates to a single-winding magnetic suspension switched reluctance motor simulink modeling method.
Background
The magnetic suspension switched reluctance motor combines the magnetic bearing and switched reluctance motor technology, can simultaneously realize two-degree-of-freedom suspension and electromagnetic torque generation of the motor, shortens the axial length of the motor and effectively improves the critical rotating speed of the motor on the basis of keeping the characteristics of no friction and no mechanical wear of the magnetic bearing. The speed regulation device has the advantages of excellent speed regulation performance, strong fault tolerance performance, simple structure, low cost and the like. The single-winding magnetic suspension switched reluctance motor only has one set of winding on each stator tooth pole, controls the torque and the suspension force simultaneously, and has the 12 sets of windings controlled independently, so that under the same excitation current, the suspension force and the torque value are larger, the slot filling rate and the power density are high, and the control is more flexible.
At present, mathematical modeling methods of a single-winding magnetic suspension switched reluctance motor mainly include a Maxwell stress method and a virtual displacement method, and the Maxwell stress method and the virtual displacement method have the problems of difficult derivation, strong limitation on winding current range, inaccurate model and the like, and bring difficulty to control research and simulation of the motor.
Disclosure of Invention
The invention aims to provide a single-winding magnetic suspension switched reluctance motor simulink modeling method which can effectively solve the problems of complex derivation process, difficult modeling, low accuracy, strong limitation of winding current range and weak algorithm adaptability of the current motor simulation model.
In order to solve the technical problems, the invention is realized by the following technical scheme: a single-winding magnetic suspension switched reluctance motor simulink modeling method comprises the following steps:
A. acquiring the relation among the bus voltage, the winding current, the winding resistance and the flux linkage of each winding of the single-winding magnetic suspension switched reluctance motor, and establishing a winding current solving model;
B. introducing ANSOFT winding inductance simulation values at different winding currents and rotor position angles, introducing the two-dimensional data table into a two-dimensional interpolation table of a simulink platform, and establishing an inductance model with the input of the winding currents and the output of the rotor position angles as the winding inductances;
C. obtaining the value of the winding current through the winding current solving model in the step A and the inductance model in the step B;
D. importing ANSOFT (analog-to-digital converter) suspension force simulation values at different winding currents and different rotor position angles, importing a three-dimensional data table into a three-dimensional interpolation table of a simulink platform, and establishing a suspension force model with the input of the two tooth pole winding currents and the output of the rotor position angles as suspension force;
E. introducing ANSOFT torque simulation values at different winding currents and rotor position angles, introducing the three-dimensional data table into a three-dimensional interpolation table of a simulink platform, and establishing a torque model with the input of two tooth pole winding currents and the output of the rotor position angle as torque;
F. a single-phase motor model is established based on a simulink platform, a single-phase winding current solving model, an inductance model, a suspension force model and a torque model are input, single-phase torque, suspension force and current can be solved, and the obtained current value can provide signal support for control research of a motor;
G. an integral motor model is established based on a simulink platform, and the suspension force and the torque of each phase in the three phases are respectively input into a displacement calculation module and an angle calculation module to output the rotating speed, the rotating angle and the radial displacement of the motor.
Preferably, the voltage relationship of the single tooth pole is as follows:
Figure BDA0002497795050000021
ψ=L(i,θ)×i
wherein U is the bus voltage, R is the winding resistance, and psi is the flux linkage.
Compared with the prior art, the invention has the advantages that: the simulation model is suitable for simulation of the nonlinear and linear intervals of the single-winding magnetic suspension switched reluctance motor, the problem that the control simulation research of the single-winding magnetic suspension switched reluctance motor is only limited to the linear interval is solved, the motor operation interval is widened, the accuracy of the model is greatly improved, the simulation model is more suitable for real objects, some extreme conditions under the operation of the single-winding magnetic suspension switched reluctance motor can be simulated, and the operation accuracy and the system robustness can be effectively enhanced by applying the simulation model to an actual single-winding magnetic suspension switched reluctance motor control system.
Compared with the traditional modeling method of the single-winding magnetic suspension switched reluctance motor, the modeling method considers the magnetic saturation characteristic, and the two-dimensional interpolation table module of the simulink platform is utilized, so that the complicated inductance analysis and calculation are avoided, and the accurate modeling of the inductance is realized.
Compared with the traditional modeling method, the suspension force model considers the magnetic saturation characteristic of the magnetic group motor, breaks through the limitation that the torque current component of a single tooth pole is necessarily larger than the current component of the suspension force, and can simulate the suspension force of the motor under any value of the winding current.
And step E, compared with the traditional modeling method, the magnetic saturation characteristic of the magnetic group motor is considered in the suspension force model, the limitation that the torque current component of a single tooth pole must be larger than the current component of the suspension force is broken through, and the motor torque under any value of the winding current can be simulated.
Drawings
FIG. 1 is a structural diagram of a single-winding magnetic suspension switched reluctance motor;
FIG. 2 is a modeling flow chart of a single-winding magnetic suspension switched reluctance motor simulink modeling method provided by the invention;
FIG. 3 is an A-phase model of the single-winding magnetic suspension switched reluctance motor simulink modeling method provided by the invention;
fig. 4 is an overall model of the single-winding magnetic suspension switched reluctance motor simulink modeling method provided by the invention.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings. The embodiments described below with reference to the drawings are illustrative and intended to be illustrative of the invention and are not to be construed as limiting the invention.
As shown in figure 1, the stator consists of A, B, C phases, each stator tooth pole is wound with independently controlled windings, and four tooth poles which are separated by 90 degrees form one phase and have three phases. The A-phase winding consists of four windings A1, A2, A3 and A4, the B-phase winding and the C-phase winding are respectively placed at the positions of the A-phase winding, which are 30 degrees and 60 degrees anticlockwise, the A2 and A4, and the A1 and A3 are coaxial in-phase windings, and the rotor position angle is defined as the included angle between the rotor teeth and the stator teeth.
A single-winding magnetic suspension switched reluctance motor simulink modeling method comprises the following steps:
A. performing single-winding magnetic suspension switched reluctance motor simulink modeling according to a flow chart shown in fig. 2, and analyzing the relationship among the bus voltage, the winding current, the winding inductance, the winding resistance and the flux linkage of each winding of the single-winding magnetic suspension switched reluctance motor to obtain the following relationship:
Figure BDA0002497795050000041
ψ=L(i,θ)×i
wherein U is the bus voltage, R is the winding resistance, and psi is the flux linkage. And aiming at the relational expression, establishing a winding current solving model based on a simulink platform.
B. And importing ANSOFT winding inductance simulation values at different winding currents and rotor position angles, importing the two-dimensional data table into a two-dimensional interpolation table of a simulink platform, and establishing an inductance model with the input of the winding current and the output of the rotor position angle as the winding inductance.
C. And the winding current value can be obtained through a winding current solving model and an inductance model.
D. And importing ANSOFT (analog-to-digital converter) suspension force simulation values at different winding currents and different rotor position angles, importing the three-dimensional data table into a three-dimensional interpolation table of a simulink platform, and establishing a suspension force model with the input of the two tooth pole winding currents and the output of the rotor position angles as suspension force.
E. Introducing ANSOFT torque simulation values at different winding currents and rotor position angles, introducing the three-dimensional data table into a three-dimensional interpolation table of a simulink platform, and establishing a torque model with the input of two tooth pole winding currents and the output of the rotor position angle as torque.
According to the principle of mechanics vector synthesis, the suspension force of the alpha axis and the beta axis is obtained through conversion:
Figure BDA0002497795050000051
and summing the torque values of the teeth to obtain the motor torque.
The radial position of the rotor can be obtained by the equation of motion as follows:
Figure BDA0002497795050000052
according to the torque mechanical equation, the rotor speed can be obtained:
Figure BDA0002497795050000053
wherein
Figure BDA0002497795050000054
To be a friction coefficient, ω represents the motor angular velocity.
F. According to the flow chart, modeling is carried out based on a simlink platform, fig. 3 is a motor model of a motor phase A, a rotor angle, a winding A1, a winding A2, a winding A3 and a winding A4 are input, and a winding current solving model, an inductance model, a suspension force model and a torque model are input, so that torque, suspension force and current of the phase A can be solved.
G. Fig. 4 is an integral model, an B, C-phase motor is established by referring to the motor model of the a-phase, and the suspension force and the torque are respectively input into the displacement calculation module and the angle calculation module to output the rotation speed, the rotation angle and the radial displacement of the motor.
The modeling method is suitable for the nonlinear and linear interval simulation of the single-winding magnetic suspension switched reluctance motor, the problem that the control simulation research of the single-winding magnetic suspension switched reluctance motor is only limited to the linear interval is solved, the accuracy of the model is greatly improved, the simulation model is more suitable for real objects, and some extreme conditions of the single-winding magnetic suspension switched reluctance motor under operation can be simulated.
The above description is only an embodiment of the present invention, but the technical features of the present invention are not limited thereto, and any changes or modifications within the technical field of the present invention by those skilled in the art are covered by the claims of the present invention.

Claims (2)

1. A single-winding magnetic suspension switched reluctance motor simulink modeling method is characterized by comprising the following steps: the method comprises the following steps:
A. acquiring the relation among the bus voltage, the winding current, the winding resistance and the flux linkage of each winding of the single-winding magnetic suspension switched reluctance motor, and establishing a winding current solving model;
B. introducing ANSOFT winding inductance simulation values at different winding currents and rotor position angles, introducing the two-dimensional data table into a two-dimensional interpolation table of a simulink platform, and establishing an inductance model with the input of the winding currents and the output of the rotor position angles as the winding inductances;
C. obtaining the value of the winding current through the winding current solving model in the step A and the inductance model in the step B;
D. importing ANSOFT (analog-to-digital converter) suspension force simulation values at different winding currents and different rotor position angles, importing a three-dimensional data table into a three-dimensional interpolation table of a simulink platform, and establishing a suspension force model with the input of the two tooth pole winding currents and the output of the rotor position angles as suspension force;
E. introducing ANSOFT torque simulation values at different winding currents and rotor position angles, introducing the three-dimensional data table into a three-dimensional interpolation table of a simulink platform, and establishing a torque model with the input of two tooth pole winding currents and the output of the rotor position angle as torque;
F. a single-phase motor model is established based on a simulink platform, and a single-phase winding current solving model, an inductance model, a suspension force model and a torque model are input to solve to obtain single-phase torque, suspension force and current;
G. an integral motor model is established based on a simulink platform, and the suspension force and the torque of each phase in the three phases are respectively input into a displacement calculation module and an angle calculation module to output the rotating speed, the rotating angle and the radial displacement of the motor.
2. The single-winding magnetic levitation switched reluctance motor simulink modeling method as claimed in claim 1, wherein: in the step A, the bus voltage, the winding current, the winding resistance and the flux linkage relation of each winding of the single-winding magnetic suspension switch reluctance are as follows:
Figure FDA0002497795040000021
ψ=L(i,θ)×i
wherein U is the bus voltage, R is the winding resistance, and psi is the flux linkage.
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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5525886A (en) * 1994-06-23 1996-06-11 General Electric Company Low speed position estimator for switched reluctance machine using flux/current model
CN104283393A (en) * 2014-09-25 2015-01-14 南京工程学院 Method for optimizing structure parameter of single-winding magnetic suspension switch reluctance machine
US20150220484A1 (en) * 2012-10-22 2015-08-06 China University Of Mining And Technology Memristor linear modeling method for switched reluctance motor
CN106059425A (en) * 2016-02-16 2016-10-26 国家电网公司 Control method for dual-winding magnetic suspension switched reluctance generator

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5525886A (en) * 1994-06-23 1996-06-11 General Electric Company Low speed position estimator for switched reluctance machine using flux/current model
US20150220484A1 (en) * 2012-10-22 2015-08-06 China University Of Mining And Technology Memristor linear modeling method for switched reluctance motor
CN104283393A (en) * 2014-09-25 2015-01-14 南京工程学院 Method for optimizing structure parameter of single-winding magnetic suspension switch reluctance machine
CN106059425A (en) * 2016-02-16 2016-10-26 国家电网公司 Control method for dual-winding magnetic suspension switched reluctance generator

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