CN111797495B - Single-winding magnetic suspension switch reluctance motor simulink modeling method - Google Patents
Single-winding magnetic suspension switch reluctance motor simulink modeling method Download PDFInfo
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- CN111797495B CN111797495B CN202010423413.6A CN202010423413A CN111797495B CN 111797495 B CN111797495 B CN 111797495B CN 202010423413 A CN202010423413 A CN 202010423413A CN 111797495 B CN111797495 B CN 111797495B
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- 238000004804 winding Methods 0.000 title claims abstract description 109
- 239000000725 suspension Substances 0.000 title claims abstract description 27
- 238000000034 method Methods 0.000 title claims abstract description 23
- 238000005339 levitation Methods 0.000 claims abstract description 35
- 238000004088 simulation Methods 0.000 claims abstract description 21
- 230000004907 flux Effects 0.000 claims abstract description 8
- 238000006073 displacement reaction Methods 0.000 claims abstract description 7
- 238000004364 calculation method Methods 0.000 claims description 7
- 238000009795 derivation Methods 0.000 abstract description 2
- 238000013178 mathematical model Methods 0.000 abstract 1
- 238000005299 abrasion Methods 0.000 description 1
- 238000004458 analytical method Methods 0.000 description 1
- 230000004323 axial length Effects 0.000 description 1
- 230000015572 biosynthetic process Effects 0.000 description 1
- 238000004422 calculation algorithm Methods 0.000 description 1
- 238000006243 chemical reaction Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 230000005284 excitation Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000003786 synthesis reaction Methods 0.000 description 1
Classifications
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
Abstract
The invention relates to a single-winding magnetic suspension switch reluctance motor simulink modeling method, which is used for establishing a model to solve winding current by analyzing the relation among bus voltage, winding current, winding inductance, winding resistance and flux linkage of each winding. Introducing simulation data of a single-winding magnetic suspension switch reluctance motor in ANSOFT, and establishing a relation model of winding current A1, a rotor position angle and winding inductance through a two-dimensional interpolation module in a simulink; and respectively establishing a relation model of winding current, in-phase coaxial tooth pole winding current, rotor position angle, levitation force and torque through a three-dimensional interpolation module. Finally, parameters such as winding current, levitation force, torque, motor rotating speed, rotor radial displacement and the like of the single-winding magnetic levitation switch reluctance motor can be solved through the model. The single-winding magnetic suspension switch reluctance motor simulink modeling method disclosed by the invention has the advantages of avoiding the derivation of a mathematical model of a complex single-winding magnetic suspension switch reluctance motor, along with high modeling precision and wide simulation parameter range.
Description
Technical Field
The invention relates to a single-winding magnetic suspension switch reluctance motor simulink modeling method.
Background
The magnetic suspension switch reluctance motor combines the magnetic bearing and the switch reluctance motor technology, can realize two-degree-of-freedom suspension of the motor and electromagnetic torque generation, 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 abrasion 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 switch reluctance motor has only one set of windings on each stator tooth, torque and suspension force are controlled simultaneously, 12 sets of windings are controlled independently, 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 under the same excitation current.
At present, the mathematical modeling method of the single-winding magnetic suspension switch reluctance motor mainly comprises a Maxwell stress method and a virtual displacement method, which have the problems of difficult derivation, strong winding current range limitation, inaccurate model and the like, and bring difficulties to the control research and simulation of the motor.
Disclosure of Invention
The invention aims to provide a single-winding magnetic suspension switch reluctance motor simulink modeling method which can effectively solve the problems of complex deducing 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 switch reluctance motor simulink modeling method comprises the following steps:
A. acquiring the bus voltage, winding current, winding resistance and flux linkage relation of each winding of the single-winding magnetic suspension switch reluctance motor, and establishing a winding current solving model;
B. importing ANSOFT winding inductance simulation values at different winding currents and rotor position angles, importing a two-dimensional data table into a two-dimensional interpolation table of a simulink platform, and establishing an inductance model with winding currents as input and winding inductance as output at the rotor position angles;
C. the winding current value can be obtained through the winding current solving model in the step A and the inductance model in the step B;
D. introducing ANSOFT levitation force simulation values of different winding currents and rotor position angles, introducing a three-dimensional data table into a three-dimensional interpolation table of a simulink platform, and establishing a levitation force model with two tooth pole winding currents and two rotor position angles as levitation forces;
E. importing ANSOFT torque simulation values at different winding currents and rotor position angles, importing a three-dimensional data table into a three-dimensional interpolation table of a simulink platform, and establishing a torque model with two tooth pole winding currents and rotor position angles as torques;
F. a single-phase motor model is built based on a simulink platform, a single-phase winding current solving model, an inductance model, a levitation force model and a torque model are input to solve to obtain single-phase torque, levitation force and current, and the obtained current value can provide signal support for control research of the motor;
G. and (3) establishing an integral motor model based on the simulink platform, and respectively inputting the levitation force and the torque of each of the three phases into a displacement calculation module and an angle calculation module to output the motor rotation speed, the rotation angle and the radial displacement.
Preferably, the voltage relationship of a single tooth is:
ψ=L(i,θ)×i
wherein U is bus voltage, R is winding resistance, and ψ is flux linkage.
Compared with the prior art, the invention has the advantages that: the simulation method is suitable for the nonlinear and linear interval simulation of the single-winding magnetic levitation switch reluctance motor, solves the problem that the control simulation research of the single-winding magnetic levitation switch reluctance motor is limited to the linear interval, widens the operation interval of the motor, greatly improves the accuracy of a model, enables the simulation model to be more practical, can simulate some extreme conditions under the operation of the single-winding magnetic levitation switch reluctance motor, and can effectively enhance the operation accuracy and the system robustness by applying the simulation model to an actual single-winding magnetic levitation switch reluctance motor control system.
Compared with the traditional modeling method of the single-winding magnetic suspension switch reluctance motor, the model considers the magnetic saturation characteristic, and utilizes the two-dimensional interpolation table module of the simulink platform, so that complex inductance analysis and calculation are avoided, and accurate modeling of inductance is realized.
Compared with the traditional modeling method, the levitation 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 must be larger than the levitation force current component, and can simulate the motor levitation force under any value of winding current.
Compared with the traditional modeling method, the levitation 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 must be larger than the levitation force current component, and can simulate the motor torque under any value of winding current.
Drawings
FIG. 1 is a block diagram of a single winding magnetic levitation switched reluctance motor;
FIG. 2 is a modeling flow chart of a single-winding magnetic levitation switch reluctance motor simulink modeling method provided by the invention;
FIG. 3 is an A-phase model of the single-winding magnetic levitation switch reluctance motor simulink modeling method provided by the invention;
fig. 4 is an overall model of the single-winding magnetic levitation 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 by referring to the drawings are illustrative and intended to explain the present invention and should not be construed as limiting the invention.
As shown in fig. 1, the stator consists of A, B, C phases, each stator tooth is overlapped with an independently controlled winding, and four teeth separated by 90 degrees form one phase, and the stator teeth share three phases. The phase A winding consists of four windings A1, A2, A3 and A4, the phase B and the phase C are respectively arranged at the anticlockwise 30 DEG and 60 DEG of the phase A winding, the phase A2, the phase A4, the phase A1 and the phase A3 are coaxial in-phase windings, and the rotor position angle is defined as the included angle between the rotor tooth pole and the stator tooth pole.
A single winding magnetic suspension switch reluctance motor simulink modeling method comprises the following steps:
A. performing single-winding magnetic suspension switch reluctance motor simulink modeling according to a flow chart shown in fig. 2, analyzing the relation among the busbar voltage, the winding current, the winding inductance, the winding resistance and the flux linkage of each winding of the single-winding magnetic suspension switch reluctance motor, and obtaining the following relation:
ψ=L(i,θ)×i
wherein U is bus voltage, R is winding resistance, and ψ is flux linkage. And establishing a winding current solving model based on the simulink platform aiming at the relational expression.
B. And (3) importing ANSOFT winding inductance simulation values at different winding currents and rotor position angles, importing a two-dimensional data table into a two-dimensional interpolation table of a simulink platform, and establishing an inductance model with winding currents as input and winding inductance as output at the rotor position angles.
C. The winding current value can be obtained through a winding current solving model and an inductance model.
D. ANSOFT levitation force simulation values of different winding currents and rotor position angles are imported, a three-dimensional data table is imported into a three-dimensional interpolation table of a simulink platform, and a levitation force model with two tooth pole winding currents and two rotor position angles being input and output as levitation force is built.
E. And (3) importing ANSOFT torque simulation values at different winding currents and rotor position angles, importing a three-dimensional data table into a three-dimensional interpolation table of a simulink platform, and establishing a torque model with two tooth pole winding currents and rotor position angles as torques.
According to the principle of mechanical vector synthesis, the suspension force of the alpha and beta axes is obtained by conversion:
and summing the torque values of all the tooth poles to obtain the motor torque.
The radial position of the rotor can be obtained through the equation of motion as follows:
from the torque mechanical equation, the rotor speed can be obtained:
wherein the method comprises the steps ofAs a friction coefficient, ω represents the motor angular velocity.
F. According to the above flow chart, modeling is performed based on simlink platform, fig. 3 is a motor model of motor phase a, input rotor angle, A1 winding, A2 winding, A3 winding, A4 winding busbar voltage, input winding current solving model, inductance model, levitation force model, torque model can be solved to obtain phase a torque, levitation force, current.
G. Fig. 4 is a whole model, a B, C phase motor is built by referring to an A phase motor model, the levitation force and the torque are respectively input into a displacement calculation module and an angle calculation module to output the motor rotation speed, the rotation angle and the radial displacement.
The modeling method is suitable for the nonlinear and linear interval simulation of the single-winding magnetic suspension switch reluctance motor, solves the problem that the control simulation research of the single-winding magnetic suspension switch reluctance motor is limited to the linear interval, greatly improves the accuracy of a model, enables the simulation model to be more practical, and can simulate some extreme conditions under the operation of the single-winding magnetic suspension switch reluctance motor.
The above embodiments are merely illustrative embodiments of the present invention, but the technical features of the present invention are not limited thereto, and any changes or modifications made by those skilled in the art within the scope of the present invention are included in the scope of the present invention.
Claims (2)
1. A single winding magnetic suspension switch reluctance motor simulink modeling method is characterized in that: the method comprises the following steps:
A. acquiring the bus voltage, winding current, winding resistance and flux linkage relation of each winding of the single-winding magnetic suspension switch reluctance motor, and establishing a winding current solving model;
B. importing ANSOFT winding inductance simulation values at different winding currents and rotor position angles, importing a two-dimensional data table into a two-dimensional interpolation table of a simulink platform, and establishing an inductance model with winding currents as input and winding inductance as output at the rotor position angles;
C. the winding current value can be obtained through the winding current solving model in the step A and the inductance model in the step B;
D. introducing ANSOFT levitation force simulation values of different winding currents and rotor position angles, introducing a three-dimensional data table into a three-dimensional interpolation table of a simulink platform, and establishing a levitation force model with two tooth pole winding currents and two rotor position angles as levitation forces;
E. importing ANSOFT torque simulation values at different winding currents and rotor position angles, importing a three-dimensional data table into a three-dimensional interpolation table of a simulink platform, and establishing a torque model with two tooth pole winding currents and rotor position angles as torques;
F. a single-phase motor model is built based on a simulink platform, and single-phase torque, levitation force and current can be obtained by inputting a single-phase winding current solving model, an inductance model, a levitation force model and a torque model;
G. and (3) establishing an integral motor model based on the simulink platform, and respectively inputting the levitation force and the torque of each of the three phases into a displacement calculation module and an angle calculation module to output the motor rotation speed, the rotation angle and the radial displacement.
2. A single winding magnetic levitation switched reluctance motor simulink modeling method as defined in claim 1, wherein: in the step A, the relations of bus voltage, winding current, winding resistance and flux linkage of each winding of the single-winding magnetic suspension switch reluctance are as follows:
ψ=L(i,θ)×i
wherein U is bus voltage, R is winding resistance, and ψ is flux linkage.
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Citations (3)
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 |
CN106059425A (en) * | 2016-02-16 | 2016-10-26 | 国家电网公司 | Control method for dual-winding magnetic suspension switched reluctance generator |
Family Cites Families (1)
Publication number | Priority date | Publication date | Assignee | Title |
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CN102916632B (en) * | 2012-10-22 | 2015-04-29 | 中国矿业大学 | Linear modeling method of switch reluctance motor memristor |
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Patent Citations (3)
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 |
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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