A design method for low-vibration tooth-fractionated stator structure based on tooth modulation effect

Abstract

The present invention discloses a method for designing a low-vibration tooth-fractionated stator structure based on a tooth modulation effect. The method comprises: obtaining the spatiotemporal distribution characteristics of the amplitude of the radial electromagnetic force in the air gap under different operating conditions of a fractional slot permanent magnet synchronous motor, and then determining the order of the low-order radial electromagnetic force modulated by the stator teeth that has the greatest impact on the vibration of the motor; designing a tooth-fractionated stator structure, wherein the tooth-fractionated stator structure is a structure in which auxiliary slots are respectively provided at the top and the middle of the stator teeth of the stator, and then establishing a motor simulation model; optimizing the design of the two auxiliary slots of the tooth-fractionated stator structure in the simulation model according to the determined radial electromagnetic force order, and then designing the tooth-fractionated stator structure of the fractional slot permanent magnet synchronous motor. The tooth-fractionated stator structure of the present invention can weaken the tooth modulation effect, reduce the amplitude of the radial electromagnetic force of the main order, optimize the vibration characteristics of the motor during operation, and improve the operation quality of the motor while ensuring that the output torque of the motor remains basically unchanged.

Description

Technical Field

[0001] The invention relates to a stator structure design method and to the field of motor design, in particular to a low-vibration tooth fractional stator structure design method based on tooth modulation effect. Background Art

[0002] Permanent magnet synchronous motors have the advantages of high power density, high efficiency, compact structure, and high power factor. They are widely used in transportation, servo systems, household appliances, and other fields. Compared with integer slot permanent magnet synchronous motors, fractional slot permanent magnet synchronous motors have higher power density, lower cogging torque, good fault tolerance, and shorter winding end length, making the advantages of fractional slot permanent magnet synchronous motors more obvious. However, fractional slot permanent magnet synchronous motors have more harmonic content, which makes the vibration performance of fractional slot permanent magnet synchronous motors poor. With the widespread application of fractional slot permanent magnet synchronous motors, it becomes increasingly important to design low-vibration fractional slot permanent magnet synchronous motors.

[0003] The fundamental component and harmonic component of the air gap magnetic field of the motor interact to generate electromagnetic force, which acts on the stator core, causing it to vibrate, and other structures of the motor to vibrate together, causing electromagnetic noise. Since the electromagnetic force generated by the air gap magnetic field is a rotating force wave, it can be decomposed into radial electromagnetic force and tangential electromagnetic force. The radial electromagnetic force causes radial deformation of the stator and rotor and induces periodic vibration, which is the main source of electromagnetic noise in the motor. The vibration of the motor is inversely proportional to the fourth power of the spatial order of the radial electromagnetic force. Therefore, most current studies believe that low-order radial electromagnetic force in space is the main cause of electromagnetic vibration of the motor, while ignoring the influence of high-order electromagnetic force on motor vibration. However, in the fractional slot permanent magnet synchronous motor, the high-order radial electromagnetic force can be modulated into low-order and high-amplitude radial electromagnetic force by sampling the motor stator teeth, which in turn has a significant impact on the electromagnetic vibration of the motor. How to weaken the tooth modulation effect becomes the key in the design process of low-vibration fractional slot permanent magnet synchronous motor. Summary of the invention

[0004] In order to solve the problems existing in the background technology, the present invention provides a low-vibration tooth fractional stator structure design method based on tooth modulation effect. The method of the present invention can ensure that the torque performance of the fractional slot permanent magnet synchronous motor is basically unchanged. The core of this design method is to approximately split a stator tooth into two teeth, weaken the tooth modulation effect, reduce the low-order radial electromagnetic force with a higher amplitude, and thus reduce the vibration of the fractional slot permanent magnet synchronous motor, and use the Taguchi method to optimize the design of the proposed tooth fractional stator structure to reduce the vibration of the motor while ensuring that the motor output torque is not reduced to a large extent.

[0005] The technical solution adopted by the present invention is:

[0006] The low-vibration tooth fractional stator structure design method based on the tooth modulation effect of the present invention comprises:

[0007] 1) The temporal and spatial distribution characteristics of the amplitude of the radial electromagnetic force in the air gap of the fractional-slot permanent magnet synchronous motor are obtained under different operating conditions, and then the order of the low-order radial electromagnetic force modulated by the stator teeth that has the greatest impact on the vibration of the motor is determined.

[0008] 2) Design a tooth-fractionated stator structure for a fractional-slot permanent magnet synchronous motor. The tooth-fractionated stator structure is a structure in which auxiliary slots are respectively opened at the top and middle of the stator teeth. Then, establish a simulation model of a fractional-slot permanent magnet synchronous motor with a tooth-fractionated stator structure.

[0009] 3) According to the low-order radial electromagnetic force order determined in step 1), the two auxiliary slots of the tooth fractional stator structure in the simulation model are optimized to obtain the optimized simulation model, and then the tooth fractional stator structure of the fractional slot permanent magnet synchronous motor is designed.

[0010] In the step 1), when determining the order of the radial electromagnetic force modulated by the stator teeth that has the greatest impact on the vibration of the motor, first, according to the tooth modulation effect principle, when the spatial order of the n-order high-order radial electromagnetic force is greater than half of the number of stator slots Z of the fractional slot permanent magnet synchronous motor, when the radial electromagnetic force is transmitted from the air gap to the stator tooth surface, the n-order high-order radial electromagnetic force will be modulated by the teeth to produce a low-order radial electromagnetic force of |n-kZ| order, k is a positive integer, and the modulated n-order high-order radial electromagnetic force is determined, thereby determining the n-order high-order radial electromagnetic force that has the greatest impact on the vibration of the fractional slot permanent magnet synchronous motor after being modulated by the stator teeth and has a higher amplitude.

[0011] In the step 2), for each stator tooth of the fractional slot permanent magnet synchronous motor, the stator teeth all adopt a tooth fractional stator structure, a first auxiliary slot is provided in the middle of the tooth top adjacent to the air gap of the stator tooth, and a second auxiliary slot is provided at the junction of the tooth portion and the yoke portion of the stator tooth and in the tooth portion of the stator tooth between the first auxiliary slots. A stator tooth is approximately split into two teeth, the tooth modulation effect is weakened, the low-order high-amplitude radial electromagnetic force is reduced, and the vibration of the fractional slot permanent magnet synchronous motor is reduced.

[0012] The two auxiliary slots are both opened through the axial direction of the stator, and the two auxiliary slots are arranged at intervals.

[0013] The length direction of the slot opening of the second auxiliary slot is parallel to the length direction of the stator teeth.

[0014] In the step 2), a finite element multi-physics field simulation model of a fractional-slot permanent magnet synchronous motor with a tooth-fractionated stator structure is established by a finite element simulation method.

[0015] In the step 3), according to the radial electromagnetic force order determined in step 1), the two auxiliary slots of the tooth-split stator structure in the simulation model are optimized by the Taguchi method as follows:

[0016] Step 3.1) First, determine the optimization goal, optimization variables and constraints for optimizing the design of the tooth fractional stator structure of the fractional slot permanent magnet synchronous motor, and optimize the optimization variables according to the optimization goal and constraints during the optimization process.

[0017] Step 3.2) A factor level table is established according to each optimization variable and its preset value range, and then several values ​​of the optimization variables are selected from the preset value range of each optimization variable in the factor level table, thereby constructing an orthogonal test table.

[0018] Step 3.3) In the finite element multi-physics field simulation model, the fractional slot permanent magnet synchronous motor running under rated conditions is simulated according to the orthogonal test table, and then the electromagnetic torque of the fractional slot permanent magnet synchronous motor is obtained under the values ​​of each group of optimization variables. T and the amplitude of the radial electromagnetic force under the order determined in step 1) Pr ; The values ​​of each group of optimization variables are fixed values ​​selected from the preset value range, so that simulation is performed under the optimization variables determined by the current group.

[0019] Step 3.4) For the electromagnetic torque under each set of optimized variables in step 3.3) T and the amplitude of the radial electromagnetic force under the order determined in step 1) Pr Perform average value analysis to determine the electromagnetic torque under each set of optimized variable values. T and the amplitude of the radial electromagnetic force under the order determined in step 1) Pr The changing trend of the electromagnetic torque is obtained T The largest set of optimized variables is taken as the first combination, and the amplitude of the radial electromagnetic force under the determined order in step 1) is obtained. Pr The smallest set of optimized variable values ​​is taken as the second combination, and then variance analysis is performed to obtain the effect of the optimized variable values ​​on the electromagnetic torque. T and the amplitude of the radial electromagnetic force Pr The relative importance of the influence is finally combined with the first combination and the second combination to select the final value combination of each optimization variable.

[0020] In the step 3.1), the optimization goal is to make the electromagnetic torque of the fractional slot permanent magnet synchronous motor TThe maximum value is obtained and the amplitude of the radial electromagnetic force under the order determined in step 1) is minimized; the optimization variables include the slot depth and slot width of the first auxiliary slot of the tooth fractional stator structure and the shortest distance between the two auxiliary slots; the constraint condition is the electromagnetic torque of the fractional slot permanent magnet synchronous motor T The decrease in is less than a preset threshold.

[0021] The electronic device of the present invention comprises: a memory and a processor coupled to each other, wherein the memory stores program data, and the processor calls the program data to execute the method as described above.

[0022] The computer-readable storage medium of the present invention stores program data thereon, and is characterized in that the program data implements the method described above when executed by a processor.

[0023] The present invention improves the stator structure of the motor and optimizes the tooth-fractionated stator structure by using the Taguchi method, so that the motor can better weaken the tooth modulation effect while maintaining a higher output torque, thereby reducing the amplitude of the radial electromagnetic force of a specific order and thus reducing the vibration of the motor.

[0024] The beneficial effects of the present invention are:

[0025] 1. The tooth-split stator structure adopted in the present invention weakens the tooth modulation effect of the stator teeth on the electromagnetic force, and weakens the amplitude of the radial electromagnetic force that has a key influence on the vibration.

[0026] 2. The present invention uses the Taguchi method to optimize the tooth-fractionated stator structure, so that the motor can achieve the best effect of reducing motor vibration while maintaining a high output torque.

[0027] 3. The present invention is applicable to all fractional-slot permanent magnet synchronous motors, and the method has low requirements on the process and is easy to implement. BRIEF DESCRIPTION OF THE DRAWINGS

[0028] Figure 1 This is a stator structure diagram of the fractional slot permanent magnet synchronous motor of the present invention before improvement;

[0029] Figure 2 It is a schematic diagram of optimized variables of the tooth-fractionated stator structure of the present invention;

[0030] Figure 3 This is a comparison diagram of the average torque of the motor before and after the optimization of the present invention;

[0031] Figure 4 This is a comparison diagram of the 6th order radial electromagnetic force amplitude of the motor before and after optimization of the present invention;

[0032] Figure 5 This is a comparison diagram of the vibration acceleration of the motor before and after the optimization of the present invention. DETAILED DESCRIPTION

[0033] The present invention is further described in detail below with reference to the accompanying drawings and specific embodiments.

[0034] In the specific implementation of the present invention, a 30-pole 36-slot fractional slot permanent magnet synchronous motor is taken as an example for detailed description. The original stator structure of the fractional slot permanent magnet synchronous motor is as follows: Figure 1 As shown, the parameters of the fractional-slot permanent magnet synchronous motor are shown in Table 1.

[0035] Table 1

[0036]

[0037] Then, the low-vibration tooth fractional stator structure design method based on tooth modulation effect of the present invention is carried out. First, the spatiotemporal distribution characteristics of the amplitude of the radial electromagnetic force in the air gap of the fractional slot permanent magnet synchronous motor are obtained under different operating conditions, and then the order of the low-order radial electromagnetic force modulated by the stator teeth that has the greatest impact on the vibration of the motor is determined. First, according to the principle of tooth modulation effect, when the spatial order of the n-order high-order radial electromagnetic force is greater than half of the number of stator slots Z of the fractional slot permanent magnet synchronous motor, when the radial electromagnetic force is transmitted from the air gap to the stator tooth surface, the n-order high-order radial electromagnetic force will be modulated by the teeth into a low-order radial electromagnetic force of |n-kZ| order, k is a positive integer, and the modulated n-order high-order radial electromagnetic force is determined, thereby determining the n-order high-order radial electromagnetic force that has the greatest impact on the vibration of the fractional slot permanent magnet synchronous motor after being modulated by the stator teeth and has a higher amplitude. The radial electromagnetic force amplitude and time-space distribution characteristics of the motor under rated working conditions are obtained through simulation. According to theoretical analysis, due to the modulation effect of the stator teeth, the 30th order radial electromagnetic force in the air gap is modulated into the 6th order radial electromagnetic force, and its time frequency does not change and remains 2. f , f Indicates the fundamental frequency of the motor. Its low-order high-amplitude radial electromagnetic force has a great influence on the vibration of the 30-pole 36-slot fractional slot permanent magnet synchronous motor, so it cannot be ignored.

[0038] Then, based on the tooth modulation effect, the tooth-fractionated stator structure of the fractional slot permanent magnet synchronous motor is designed. The tooth-fractionated stator structure is a structure in which auxiliary slots are respectively opened at the top and middle of the stator teeth. The first auxiliary slot is a slot in the middle of the tooth top adjacent to the air gap, and the second auxiliary slot is a slot along the radial direction but not through the intersection of the tooth yoke. For each stator tooth of the fractional slot permanent magnet synchronous motor, the stator tooth adopts a tooth-fractionated stator structure. The first auxiliary slot is opened in the middle of the tooth top adjacent to the air gap, and the second auxiliary slot is opened at the intersection of the tooth part and the yoke part of the stator tooth and the tooth part of the stator tooth between the first auxiliary slots. A stator tooth is approximately split into two teeth, which weakens the tooth modulation effect, reduces the low-order high-amplitude radial electromagnetic force, and thus reduces the vibration of the fractional slot permanent magnet synchronous motor. Both auxiliary slots are opened along the axial direction of the stator, and the two auxiliary slots are set at intervals. The length direction of the notch of the second auxiliary slot is parallel to the length direction of the stator tooth. Then, a finite element multi-physics field simulation model of the fractional-slot permanent magnet synchronous motor with a tooth-fractionated stator structure is established through the finite element simulation method.

[0039] Then, according to the determined low-order radial electromagnetic force order, the two auxiliary slots of the tooth-split stator structure in the simulation model are optimized by the Taguchi method as follows:

[0040] First, the optimization goal, optimization variables and constraints for optimizing the design of the tooth fractional stator structure of the fractional slot permanent magnet synchronous motor are determined. In the optimization process, the optimization variables are optimized according to the optimization goal and constraints. The optimization goal is to make the electromagnetic torque of the fractional slot permanent magnet synchronous motor T The maximum and the amplitude of the radial electromagnetic force at the 6th order are minimized; the optimization variables include the slot depth and slot width of the first auxiliary slot of the tooth fractional stator structure and the shortest distance between the two auxiliary slots; the constraint condition is the electromagnetic torque of the fractional slot permanent magnet synchronous motor T The reduction is not less than 5%. The optimization variables are selected as follows: Figure 2 As shown, A is the groove width of the first auxiliary groove, B is the groove depth of the first auxiliary groove, and C is the shortest distance between the two auxiliary grooves.

[0041] Then, combined with the structural parameters of the motor, the value ranges of the three optimization variables are determined, and 3 level values ​​are evenly selected within the value range of each optimization variable to establish a factor level table, as shown in Table 2. Then, the values ​​of several optimization variables are selected from the preset value range of each optimization variable in the factor level table, and an orthogonal test table is constructed according to the number of optimization variables and the number of levels of each optimization variable. L 9 (3 3 ), as shown in Table 3.

[0042] Table 2

[0043]

[0044] Table 3

[0045]

[0046] Then, in the finite element multi-physics field simulation model, the fractional slot permanent magnet synchronous motor running under rated conditions is simulated according to the orthogonal test table, and a finite element analysis is performed on each set of experiments when the motor runs at the rated point, so as to obtain the electromagnetic torque of the fractional slot permanent magnet synchronous motor under the values ​​of each set of optimization variables. T and the amplitude of the radial electromagnetic force at the 6th order Pr ; The values ​​of each group of optimization variables are fixed values ​​selected from the preset value range, so that simulation is performed under the optimization variables determined by the current group.

[0047] The electromagnetic torque under each set of optimized variables T and the amplitude of the radial electromagnetic force at the 6th order Pr Perform average value analysis to calculate the average torque of the motor T As shown in Table 4, the amplitude of the 6th order radial electromagnetic force Pr As shown in Table 5, the overall mean analysis results are shown in Table 6.

[0048] Table 4

[0049]

[0050] Table 5

[0051]

[0052] Table 6

[0053]

[0054] Then determine the electromagnetic torque under each set of optimized variable values. T and the amplitude of the radial electromagnetic force at the 6th order Pr The changing trend of the electromagnetic torque is obtained T The largest set of optimized variables is taken as the first combination, and the amplitude of the radial electromagnetic force under the sixth order is obtained. PrThe value of the smallest set of optimization variables is taken as the second combination. In order to analyze the changes of electromagnetic torque and radial electromagnetic force under the four levels of each design variable, and to analyze the relative importance of the three design variables on the electromagnetic torque and radial electromagnetic force, it is necessary to perform mean value analysis and variance analysis on the results of 9 orthogonal experiments. As shown in Table 7. It can be seen from Table 7 that the influence of each optimization variable change on the electromagnetic torque and radial electromagnetic force gradually decreases with the increase of the first optimization variable A; with the increase of the second optimization variable B, the electromagnetic torque gradually decreases, and the amplitude of the radial electromagnetic force first increases and then decreases; with the increase of the third optimization variable C, the electromagnetic torque first increases and then decreases, and the amplitude of the radial electromagnetic force first increases and then decreases.

[0055] Table 7

[0056]

[0057] Based on the average value analysis, the electromagnetic torque and radial electromagnetic force are subjected to variance analysis to obtain the relative importance of each optimization variable on the torque average value and radial electromagnetic force. The higher the variance value, the greater the influence of the optimization variable on the result. The variance calculation results are shown in Table 8. It can be seen from Table 8 that under rated conditions, the influence of each factor on the electromagnetic torque is A>B>C from large to small, and the influence on the radial electromagnetic force amplitude is A>C>B from large to small. The combination of the levels of each factor that maximizes the electromagnetic torque is A(1)B(1)C(2), and the combination of the levels of each factor that minimizes the radial electromagnetic force amplitude is A(3)B(1)C(1).

[0058] Table 8

[0059]

[0060] The values ​​of each optimization variable are determined based on comprehensive considerations. The level value selected for the second optimization variable B is the same as B(1). The level values ​​corresponding to the first optimization variable A and the third optimization variable C are different, mainly considering the impact on the radial electromagnetic force. Therefore, the first optimization variable A and the third optimization variable C select the level values ​​that minimize the radial electromagnetic force amplitude, which are A(3) and C(1) respectively. The level values ​​selected for the final structure are A(3)B(1) C (1), and finally select the final value combination of each optimization variable.

[0061] The two auxiliary slots of the tooth fractional stator structure in the simulation model are optimized to obtain the optimized simulation model, and then the tooth fractional stator structure of the fractional slot permanent magnet synchronous motor is designed.

[0062] Finally, the vibration characteristics and electromagnetic characteristics of the motor with optimized tooth fractional stator structure can be simulated and verified. Finite element analysis is performed on the fractional slot permanent magnet synchronous motor with the new stator structure to calculate the amplitude of its radial electromagnetic force. Pr , electromagnetic torque T and vibration acceleration v The results are shown in Table 9. The comparison of the results before and after optimization is shown in Table 9. Figure 3 , Figure 4 , Figure 5 As shown, it can be seen that while maintaining a relatively high average electromagnetic torque, the amplitude of the 6th-order radial electromagnetic force of the optimized motor is reduced by 26.73%, and the 30th-order and 60th-order are reduced by 3% and 30.7% respectively, and the amplitude of the vibration acceleration is also reduced, effectively reducing the vibration of the motor.

[0063] Table 9

[0064]

[0065] Those skilled in the art will appreciate that the embodiments of the present application may be provided as methods, systems, or computer program products. Therefore, the present application may adopt the form of a complete hardware embodiment, a complete software embodiment, or an embodiment combining software and hardware. Moreover, the present application may adopt the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program codes.

[0066] The above description of the embodiments is to facilitate the understanding and application of the present invention by those skilled in the art. It is obvious that those skilled in the art can easily make various modifications to the above embodiments and apply the general principles described herein to other embodiments without creative work. Therefore, the present invention is not limited to the above embodiments. Improvements and modifications made by those skilled in the art to the present invention based on the disclosure of the present invention should be within the protection scope of the present invention.

Claims

1. A low-vibration tooth-fractionated stator structure design method based on tooth modulation effect, characterized in that: include: 1) The temporal and spatial distribution characteristics of the amplitude of the radial electromagnetic force in the air gap of the fractional-slot permanent magnet synchronous motor are obtained under different operating conditions, and then the order of the low-order radial electromagnetic force modulated by the stator teeth that has the greatest impact on the vibration of the motor is determined; 2) Design a tooth-fractionated stator structure of a fractional-slot permanent magnet synchronous motor. The tooth-fractionated stator structure is a structure in which auxiliary slots are respectively opened at the top and middle of the stator teeth. Then, establish a simulation model of the fractional-slot permanent magnet synchronous motor with a tooth-fractionated stator structure. 3) According to the low-order radial electromagnetic force order determined in step 1), the two auxiliary slots of the tooth fractional stator structure in the simulation model are optimized to obtain an optimized simulation model, and then the tooth fractional stator structure of the fractional slot permanent magnet synchronous motor is designed; In the step 1), when determining the order of the radial electromagnetic force modulated by the stator teeth that has the greatest impact on the vibration of the motor, first, according to the tooth modulation effect principle, when the spatial order of the n-order high-order radial electromagnetic force is greater than half of the number Z of stator slots of the fractional slot permanent magnet synchronous motor, when the radial electromagnetic force is transmitted from the air gap to the stator tooth surface, the n-order high-order radial electromagnetic force will be modulated by the teeth to produce a low-order radial electromagnetic force of |n-kZ| order, k is a positive integer, and the modulated n-order high-order radial electromagnetic force is determined, thereby determining the order of the low-order radial electromagnetic force of the n-order high-order radial electromagnetic force that has the greatest impact on the vibration of the fractional slot permanent magnet synchronous motor after being modulated by the stator teeth.

2. The method for designing a low-vibration tooth-fractionated stator structure based on tooth modulation effect according to claim 1 is characterized in that: In the step 2), for each stator tooth of the fractional-slot permanent magnet synchronous motor, the stator tooth adopts a tooth-fractionated stator structure, a first auxiliary slot is opened in the middle of the tooth top adjacent to the air gap of the stator tooth, and a second auxiliary slot is opened at the junction of the tooth portion and the yoke portion of the stator tooth and in the tooth portion of the stator tooth between the first auxiliary slots.

3. The method for designing a low-vibration tooth-fractionated stator structure based on tooth modulation effect according to claim 2, characterized in that: The two auxiliary slots are both opened through the axial direction of the stator, and the two auxiliary slots are arranged at intervals.

4. The method for designing a low-vibration tooth-fractionated stator structure based on tooth modulation effect according to claim 2, characterized in that: The length direction of the slot opening of the second auxiliary slot is parallel to the length direction of the stator teeth.

5. The method for designing a low-vibration tooth-fractionated stator structure based on tooth modulation effect according to claim 1, characterized in that: In the step 2), a finite element multi-physics field simulation model of a fractional-slot permanent magnet synchronous motor with a tooth-fractionated stator structure is established by a finite element simulation method.

6. The method for designing a low-vibration tooth-fractionated stator structure based on tooth modulation effect according to claim 5, characterized in that: In the step 3), according to the radial electromagnetic force order determined in step 1), the two auxiliary slots of the tooth-split stator structure in the simulation model are optimized by the Taguchi method as follows: Step 3.1) First, determine the optimization target, optimization variables and constraints for optimizing the design of the tooth fractional stator structure of the fractional slot permanent magnet synchronous motor, and optimize the optimization variables according to the optimization target and constraints during the optimization process; Step 3.2) A factor level table is established according to each optimization variable and its preset value range, and then a number of optimization variable values ​​are selected from the preset value range of each optimization variable in the factor level table, thereby constructing an orthogonal test table; Step 3.3) In the finite element multi-physics field simulation model, the fractional slot permanent magnet synchronous motor running under rated conditions is simulated according to the orthogonal test table, and then the electromagnetic torque of the fractional slot permanent magnet synchronous motor is obtained under the values ​​of each group of optimization variables. T and the amplitude of the radial electromagnetic force under the order determined in step 1) Pr ; Step 3.4) For the electromagnetic torque under each set of optimized variables in step 3.3) T and the amplitude of the radial electromagnetic force under the order determined in step 1) Pr Perform average value analysis to determine the electromagnetic torque under each set of optimized variable values. T and the amplitude of the radial electromagnetic force under the order determined in step 1) Pr The changing trend of the electromagnetic torque is obtained T The largest set of optimized variables is taken as the first combination, and the amplitude of the radial electromagnetic force under the determined order in step 1) is obtained. Pr The smallest set of optimized variable values ​​is taken as the second combination, and then variance analysis is performed to obtain the effect of the optimized variable values ​​on the electromagnetic torque. T and the amplitude of the radial electromagnetic force Pr The relative importance of the influence is finally combined with the first combination and the second combination to select the final value combination of each optimization variable.

7. The method for designing a low-vibration tooth-fractionated stator structure based on tooth modulation effect according to claim 6, characterized in that: In the step 3.1), the optimization goal is to make the electromagnetic torque of the fractional slot permanent magnet synchronous motor T The maximum value is obtained and the amplitude of the radial electromagnetic force under the order determined in step 1) is minimized; the optimization variables include the slot depth and slot width of the first auxiliary slot of the tooth fractional stator structure and the shortest distance between the two auxiliary slots; the constraint condition is the electromagnetic torque of the fractional slot permanent magnet synchronous motor T The decrease in is less than a preset threshold.

8. An electronic device, characterized in that: include: A memory and a processor coupled to each other, wherein the memory stores program data, and the processor calls the program data to execute the method according to any one of claims 1 to 7.

9. A computer-readable storage medium having program data stored thereon, characterized in that: When the program data is executed by a processor, the method according to any one of claims 1 to 7 is implemented.

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