CN-122021013-A - Modeling method for double-three-phase permanent magnet synchronous motor simulating turn-to-turn short circuit fault
Abstract
The invention particularly relates to a modeling method for a double three-phase permanent magnet synchronous motor for simulating turn-to-turn short circuit faults, and belongs to the technical field of motor modeling. The method comprises the steps of firstly splitting six-phase windings of a double three-phase permanent magnet synchronous motor, splitting each phase winding with the number of turns N into a healthy part with the number of turns N 1 and a simulative fault part with the number of turns N 2 , respectively establishing a VBR model in the form of an impedance series controllable voltage source for each split winding, and directly carrying out short circuit on the fault part of the corresponding winding when the coil is subjected to turn-to-turn short circuit fault. The double three-phase permanent magnet synchronous motor model established by the method can simulate turn-to-turn short circuit faults of any phase winding with different turns, and provides an effective modeling method for deep exploration of simulation research of fault diagnosis and fault-tolerant control strategies of the double three-phase permanent magnet synchronous motor.
Inventors
- JIAO NINGFEI
- WANG ZHIHONG
- YAO PU
- ZHANG HUANXU
- SONG SHOUJUN
- LIANG PEIXIN
- LIU WEIGUO
Assignees
- 西北工业大学
Dates
- Publication Date
- 20260512
- Application Date
- 20260128
Claims (6)
- 1. A method for modeling a double three-phase permanent magnet synchronous motor simulating an inter-turn short circuit fault, the method comprising: Step 1, motor phase winding split, namely splitting each phase winding into a healthy part with the number of turns of N 1 and a simulatable fault part with the number of turns of N 2 , wherein N=N 1 +N 2 , defining inter-turn short circuit coefficient The number of turns N 1 =for the healthy part of the winding, the ratio of turns to total turns for the turn-to-turn short circuit Turns N 2 =of the short-circuited portion ; Step 2, according to the split winding structure, establishing a voltage equation and a flux linkage equation of each phase winding considering the turn-to-turn short circuit fault condition, and transforming the voltage equation and the flux linkage equation under the static coordinate system into a d-q rotating coordinate system through a transformation matrix from a natural static coordinate system to the d-q rotating coordinate system; Step 3, expressing the inductance of the dq axis as the sum of the inductance value when the magnetic circuit is not saturated and the variable quantity of main magnetization current along with the AC-DC axis, defining a common part with the decomposable d-q axis inductance, and expressing the flux linkage amplitude of the permanent magnet as the variable quantity along with the AC-DC axis current; And 4, building a simulation model according to the VBR model, setting inter-turn short circuit faults, building a model in the simulation platform according to a VBR model mathematical formula under a natural coordinate system, connecting the model with an external power circuit through a ABCXYZ interface, and directly short-circuiting fault parts of corresponding windings when the inter-turn short circuit faults occur in the simulation windings, so that fault simulation can be realized.
- 2. The method according to claim 1, wherein the voltage equation in step 2 is specifically: In the formula, Is the winding voltage with a number of turns N, Is of the turn number of Is used for the voltage control of the windings, Is the part of the analog phase winding with turn-to-turn short circuit fault, the number of turns is Is provided.
- 3. The method according to claim 2, wherein the flux linkage equation in step 2 is specifically: In the formula, Is a matrix of currents in the healthy part of the phase winding, ; Is a current matrix of winding analog turn-to-turn short fault portions, ; The magnitude of the flux linkage of the permanent magnet is, Is a flux linkage coefficient matrix; 、 A resistive and inductive matrix of the healthy part of the phase winding, 、 A resistance and inductance matrix of the phase winding fault portion; And The mutual inductance matrix between the healthy part and the fault part of the winding is the same as the mutual inductance matrix; Is a differential operator.
- 4. A method according to claim 3, wherein the transformation matrix of the natural stationary coordinate system to the d-q rotating coordinate system in step 2 is the product of a vector space decoupling transformation matrix and a park coordinate transformation matrix.
- 5. The method according to claim 4, wherein the transforming the voltage equation and the flux linkage equation in the stationary coordinate system in step 2 to the d-q rotating coordinate system is specifically: Wherein, the In order to achieve a winding resistance of the magnitude, 、 And 、 Is that Voltage components transformed to the d-q axis and the z 1 -z 2 axis; 、 And 、 Is that Voltage components transformed to the d-q axis and the z 1 -z 2 axis; Is the electrical angular velocity; 、 And 、 Is of the turn number of The winding flux linkage of (a) is transformed to components of d-q axis and z 1 -z 2 axis; 、 And 、 Is of the turn number of The winding flux linkage of (a) is transformed to components of the d-q axis and the z 1 -z 2 axis.
- 6. The method according to claim 5, wherein the VBR model expression in the natural coordinate system in step 3 is specifically: Wherein, the 、 、 、 、 、 For the number of turns of Counter potential portions in the VBR model established by the windings of (a); 、 、 、 、 、 For the number of turns of Counter potential portions in the VBR model established by the windings of (a); for ABCXYZ current flowing over healthy portions of each phase winding, The current flowing on the turn-to-turn short fault section was modeled for ABCXYZ each phase winding.
Description
Modeling method for double-three-phase permanent magnet synchronous motor simulating turn-to-turn short circuit fault Technical Field The invention relates to the technical field of motor modeling, in particular to a modeling method of a double three-phase permanent magnet synchronous motor for simulating turn-to-turn short circuit faults. Background With the development of aviation industry, aircraft show the development trend of multiple electrification and full electrification, and traditional secondary energy driving systems such as hydraulic pressure, air pressure and the like are gradually replaced by electric driving systems. In the use scenes such as an aircraft power system, an environment control system, a flight control system and the like with higher requirements on reliability, the double three-phase permanent magnet synchronous motor continues to work in a mode of switching to a fault-tolerant control strategy when faults occur by virtue of the advantage of multi-phase redundancy, so that the double three-phase permanent magnet synchronous motor has good fault-tolerant performance and has important potential in the field of aviation. Double three-phase permanent magnet synchronous motor windings still have the risk of faults, and among all fault types, winding turn-to-turn short circuit faults are a common type of faults. When the winding has turn-to-turn short circuit fault, the short circuit loop can generate larger short circuit current, so that torque pulsation is caused, and even the permanent magnet is irreversibly demagnetized. Therefore, the method has important significance in fault diagnosis and fault-tolerant control for winding turn-to-turn short circuit faults. The establishment of a double three-phase permanent magnet synchronous motor model capable of simulating the occurrence of turn-to-turn short circuit faults of any phase winding is an important precondition for developing the research of turn-to-turn short circuit fault diagnosis and fault-tolerant control methods of the motor windings. At present, regarding a modeling method of a permanent magnet synchronous motor, turn-to-turn short circuit faults of a stationary phase winding can be realized only, and the model is difficult to be directly connected with an external power circuit to form a system model, so that the modeling method has certain limitation in simulation research. It should be noted that the information disclosed in the above background section is only for enhancing understanding of the background of the invention and thus may include information that does not form the prior art that is already known to those of ordinary skill in the art. Disclosure of Invention The invention provides a modeling method of a double three-phase permanent magnet synchronous motor for simulating an inter-turn short circuit fault, which aims to establish a double three-phase permanent magnet synchronous motor accurate model capable of simulating the inter-turn short circuit fault of any phase winding, can set different turn numbers of the inter-turn short circuit according to requirements, and can be directly connected with an external power circuit. Other features and advantages of the invention will be apparent from the following detailed description, or may be learned by the practice of the invention. According to a first aspect of the present invention, there is provided a modeling method of a double three-phase permanent magnet synchronous motor simulating an inter-turn short circuit fault, the method comprising: Step 1, motor phase winding split, namely splitting each phase winding into a healthy part with the number of turns of N 1 and a simulatable fault part with the number of turns of N 2, wherein N=N 1+N2, defining inter-turn short circuit coefficient The number of turns N 1 =for the healthy part of the winding, the ratio of turns to total turns for the turn-to-turn short circuitTurns N 2 =of the short-circuited portion; Step 2, according to the split winding structure, establishing a voltage equation and a flux linkage equation of each phase winding considering the turn-to-turn short circuit fault condition, and transforming the voltage equation and the flux linkage equation under the static coordinate system into a d-q rotating coordinate system through a transformation matrix from a natural static coordinate system to the d-q rotating coordinate system; Step 3, expressing the inductance of the dq axis as the sum of the inductance value when the magnetic circuit is not saturated and the variable quantity of main magnetization current along with the AC-DC axis, defining a common part with the decomposable d-q axis inductance, and expressing the flux linkage amplitude of the permanent magnet as the variable quantity along with the AC-DC axis current; And 4, building a simulation model according to the VBR model, setting inter-turn short circuit faults, building a model in the simulation platform according to a VBR model