A method, device and equipment for reducing vibration noise of a permanent magnet synchronous motor

Abstract

The application relates to the technical field of permanent magnet synchronous motors, in particular to a method, device and equipment for reducing vibration noise of a permanent magnet synchronous motor, which comprises the following steps: establishing an electromagnetic field model to extract radial electromagnetic force data, performing frequency spectrum and modal analysis to identify main noise sources, combining acoustic simulation to generate a sound power level waterfall diagram to clearly define an optimization target; through the collaborative optimization of multiple parameters such as the design of a rotor hole shape, the adjustment of stator slot width and air gap length, and the iterative optimization of key variables by using an intelligent algorithm, an optimal scheme is finally obtained. The method can significantly reduce the 0-order 4-fold frequency noise and 24-order 8-fold frequency noise in space, suppress torque fluctuation, guarantee output performance, be suitable for large-scale production, and effectively improve the NVH quality of the motor.

Description

Technical Field

[0001] This invention relates to the field of electrode noise reduction technology, specifically to a method, apparatus, and equipment for reducing vibration noise of a permanent magnet synchronous motor. Background Technology

[0002] Permanent magnet synchronous motors (PMSMs) have been widely used in high-end electric vehicles and precision industrial drives due to their high efficiency, high power density, and excellent dynamic performance. In recent years, with the continuous development of motor technology, flat-wire motors, with their rectangular cross-section flat copper wire windings, have shown significant advantages over traditional round-wire motors, including higher slot fill factor, better heat dissipation, and a more compact structural design, making them a research hotspot in the motor field. However, flat-wire motors have also revealed some problems that urgently need to be solved in practical applications. Due to the high stiffness of the flat-wire windings, the coupling vibration between them and the stator core is more significant. Combined with the inherent electromagnetic excitation of PMSMs (such as magnetic pull harmonics), the vibration and noise (NVH) problems generated during motor operation are particularly prominent. This vibration and noise not only affects the smoothness of motor operation and ride comfort but may also interfere with the normal operation of precision equipment, thus becoming a key factor restricting the further promotion of flat-wire motors in high-end applications. Therefore, how to effectively reduce the vibration and noise of PMSMs has become an important technical challenge that urgently needs to be solved in the current motor technology field. Summary of the Invention

[0003] The purpose of this invention is to address the vibration and noise problems of permanent magnet synchronous motors in the prior art, and to propose a method for reducing the vibration and noise of permanent magnet synchronous motors, comprising the following steps:

[0004] S1. Based on the detailed dimensions of the permanent magnet synchronous motor, an electromagnetic model is established using finite element simulation software. The electromagnetic model is then used for simulation. The radial electromagnetic force density in the air gap length is examined based on the simulation results. A two-dimensional Fourier transform is performed in time and space to determine the main harmonics that generate the torque.

[0005] S2. Perform modal simulation analysis on the permanent magnet synchronous motor, calculate the motor's natural frequency and mode shape, and determine whether resonance occurs by checking whether the natural frequency is close to the frequency of the radial electromagnetic force.

[0006] S3, without resonance, load the radial electromagnetic force data of the permanent magnet synchronous motor at multiple speeds onto the stator teeth, import the remote load into the acoustic simulation software, generate a sound power level waterfall diagram through acoustic simulation, compare the main harmonics that generate torque in S1 with the harmonics that affect noise, and determine the main harmonics that generate noise.

[0007] S4. Auxiliary slots are opened on different axes of the motor rotor, and the radius of the auxiliary slots, the position of the auxiliary slots, the width of the stator slot opening, and the length of the air gap are used as optimization variables.

[0008] S5 utilizes a multi-objective genetic algorithm for optimization, with the optimization objectives being the minimization of the main harmonics that generate noise, the suppression of torque pulsation, and the maximum torque. Ultimately, it obtains the optimal parameters for the auxiliary slot radius, auxiliary slot position, stator slot opening width, and air gap length. By comparing the noise optimization before and after, it is determined whether the vibration noise has been suppressed.

[0009] Preferably, in S1, the permanent magnet synchronous motor is a 48-slot / 16-pole permanent magnet synchronous motor.

[0010] Preferably, the main harmonics that generate noise in S3 are the 0th harmonic of space, the 8th harmonic of space, and the 10th harmonic of space.

[0011] Preferably, in S5, auxiliary slots are cut on the d-axis and q-axis of the motor stator, where the d-axis is the axis formed by connecting the center of the stator slot and the center of the model, and the q-axis is the axis formed by connecting the midpoint between the centers of two adjacent stator slots and the center of the model. The torque expression set is as follows:

[0012]

[0013] (1)

[0014] In the formula, For extreme logarithms, It is a permanent magnet flux linkage. It is a direct-axis inductor. It is a quadrature axis inductor. For direct-axis current, For quadrature axis current, For average output torque, and These are the maximum and minimum torque values. It is torque pulsation;

[0015] The formula for permanent magnet flux linkage is (2):

[0016] (2)

[0017] In the formula, The number of turns in the winding. Remanence of permanent magnets. This represents the effective cross-sectional area of ​​the air gap.

[0018] Preferably, the optimization variables in S5 are the distance H_q from the center of the q-axis auxiliary hole to the center of the entire model, the distance H_d from the center of the d-axis auxiliary hole to the center of the entire model, the radius R_q of the q-axis auxiliary hole, the radius R_d of the d-axis auxiliary hole, the stator slot opening Bs0, and the air gap length.

[0019] Preferably, obtaining the optimal auxiliary slot parameters in S5 includes the following steps:

[0020] (1) Initialize the auxiliary hole parameters and randomly generate multiple parameter points;

[0021] (2) Perform sensitivity analysis to screen out parameter points that are highly sensitive to the radial electromagnetic force, torque and torque pulsation of the optimization target;

[0022] (3) Perform multi-objective genetic algorithm optimization on the highly sensitive parameter points, restrict the optimization objective to find the point with the minimum radial electromagnetic force, the minimum torque pulsation and the maximum torque. The optimal solution of the multi-objective genetic algorithm optimization is the set of all Pareto solutions. Obtain the set of all Pareto solutions.

[0023] (4) The Pareto solution is visualized by using the parallel coordinate graph of the post-processing tool to show the trade-off between each variable and the objective function in the multi-objective genetic algorithm optimization. Finally, the optimal auxiliary slot and stator slot opening width Bs0 and air gap length parameters are obtained, and the accuracy of the results is verified.

[0024] Preferably, the permanent magnet synchronous motor is a flat wire motor with a U-shaped permanent magnet design. The stator and rotor cores are model M250-35A_20C and M350-35A_20C, respectively, and the housing is made of aluminum alloy.

[0025] A device for reducing vibration and noise of a permanent magnet synchronous motor, comprising:

[0026] The model building unit is used to build an electromagnetic model based on the detailed dimensions of the permanent magnet synchronous motor using finite element simulation software, perform simulation based on the electromagnetic model, and examine the radial electromagnetic force density in the air gap length based on the simulation results. It then performs a two-dimensional Fourier transform in time and space to determine the main harmonics that generate the torque.

[0027] The resonance detection unit is used to perform modal simulation analysis on permanent magnet synchronous motors, calculate the motor's natural frequency and mode shape, and determine whether resonance occurs by checking whether the natural frequency is close to the frequency of the radial electromagnetic force.

[0028] The acoustic simulation unit is used to load radial electromagnetic force data of permanent magnet synchronous motor at multiple speeds onto the stator teeth without generating resonance, import remote loads into acoustic simulation software, generate sound power level waterfall diagrams through acoustic simulation, and determine the main harmonics that generate noise.

[0029] The optimization variable determination unit is used to open auxiliary slots on different axes of the motor rotor, and the radius of the auxiliary slot, the position of the auxiliary slot, the width of the stator slot opening, and the length of the air gap are used as optimization variables.

[0030] The optimization unit is used to optimize the noise using a multi-objective genetic algorithm, with the optimization objectives of noise minimization, torque ripple suppression, and maximum torque. The optimal parameters of auxiliary slot radius, auxiliary slot position, stator slot opening width, and air gap length are obtained. The noise optimization before and after is compared to determine whether the vibration noise has been suppressed.

[0031] A device for reducing vibration and noise of a permanent magnet synchronous motor includes a memory and a processor. The memory stores a computer program that can be executed by the processor to implement the method for reducing vibration and noise of a permanent magnet synchronous motor as described above.

[0032] This invention offers the following advantages: It provides a method for reducing vibration and noise in a permanent magnet synchronous motor. By optimizing the auxiliary slots, stator slot openings (Bs0), and air gap length parameters, the motor reduces vibration and noise while maintaining its basic performance. Furthermore, the auxiliary holes only require modification of the opening parameters during the rotor lamination design stage, eliminating the need for complex process changes and making it suitable for mass production. Moreover, by optimizing the rotor auxiliary slots, stator slot openings (Bs0), and air gap length, multi-layered noise suppression can be achieved. This invention effectively suppresses motor vibration and noise through innovative rotor structure modulation technology, while simultaneously considering electromagnetic performance and torque output. Attached Figure Description

[0033] To more clearly illustrate the technical solutions of the embodiments of the present invention, the accompanying drawings used in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of the present invention and should not be regarded as a limitation of the scope. For those skilled in the art, other related drawings can be obtained from these drawings without creative effort.

[0034] Figure 1 This is a schematic diagram of the permanent magnet synchronous motor used in this invention;

[0035] Figure 2 This is a schematic diagram of the rotor auxiliary slot and stator slot opening Bs0 of the permanent magnet synchronous motor used in this invention, as well as the air gap length.

[0036] Figure 3 This is a flowchart of the process of the present invention;

[0037] Figure 4 This is a two-dimensional Fourier transform diagram of the radial electromagnetic force of the permanent magnet synchronous motor used in this invention.

[0038] Figure 5 The waterfall diagram shows the sound power level of the permanent magnet synchronous motor used in this invention.

[0039] Figure 6 3D set diagram of the Pareto solution of the present invention

[0040] Figure 7 This is a comparison diagram of the SPL noise of the motor in the initial structure and the optimized embodiment of the present invention.

[0041] Figure 8 This is a comparison diagram of the torque of the motor in the initial structure and the optimized embodiment of the present invention.

[0042] In the figure: 1-stator slot; 2-air gap; 3-d-axis auxiliary hole; 4-q-axis auxiliary hole. Detailed Implementation

[0043] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only a part of the embodiments of the present invention, not all of them. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without inventive effort are within the scope of protection of the present invention. Therefore, the following detailed description of the embodiments of the present invention provided in the accompanying drawings is not intended to limit the scope of the claimed invention, but merely to represent selected embodiments of the invention. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without inventive effort are within the scope of protection of the present invention.

[0044] Example

[0045] The following are merely preferred embodiments of the present invention. The scope of protection of the present invention is not limited to the following embodiments. All technical solutions that fall within the scope of the present invention are within the scope of protection of the present invention.

[0046] Refer to the instruction manual appendix Figure 1-3 This invention discloses an optimized design method for auxiliary slots on a permanent magnet motor rotor. While maintaining the rotor's mechanical strength, the optimized auxiliary slot structure effectively suppresses specific-order electromagnetic force waves, reduces motor operating noise, and ensures stable torque output. (See attached specification.) Figure 3 Specifically, it includes the following steps:

[0047] S1. Based on the detailed dimensions of the permanent magnet synchronous motor, an electromagnetic model is established using finite element simulation software. The radial electromagnetic force density in the air gap length is examined based on the simulation results. A two-dimensional Fourier transform is performed in time and space to examine the main harmonics that generate the torque.

[0048] S2. Perform modal simulation analysis on the permanent magnet synchronous motor, calculate the motor's natural frequency and mode shape, check whether the natural frequency is close to the frequency of the radial electromagnetic force, and determine whether resonance occurs.

[0049] S3, load the radial electromagnetic force data of the permanent magnet synchronous motor at multiple speeds onto the stator teeth, import the remote load into the acoustic simulation software, generate a sound power level waterfall diagram through acoustic simulation, and determine the main harmonics that generate noise;

[0050] S4 sets the main harmonics, output torque, and torque ripple as the optimization targets;

[0051] S5, because opening auxiliary slots on the rotor of the motor improves the magnetic flux density along the air gap, reduces radial electromagnetic force, and optimizes noise, and because the air gap length and slot width affect both electromagnetic force and torque, auxiliary slots are opened on the d and q axes of the motor stator. The torque expression set is as follows:

[0052]

[0053] (1)

[0054] In the formula, For extreme logarithms, It is a permanent magnet flux chain. It is a direct-axis inductor. It is a quadrature axis inductor. For direct-axis current, For quadrature axis current, For average output torque, and These are the maximum and minimum torque values. It is torque pulsation;

[0055] The formula for permanent magnet flux linkage is (2):

[0056] (2)

[0057] In the formula, The number of turns in the winding. Remanence of permanent magnets. This represents the effective cross-sectional area of ​​the air gap.

[0058] Since the air gap length and stator slot width both affect the effective cross-sectional area of ​​the air gap, and thus affect the output torque and torque ripple, they are also used as optimization variables.

[0059] S6 utilizes a multi-objective genetic algorithm for optimization, aiming to minimize noise, suppress torque ripple, and maximize torque. The optimal auxiliary slot and stator slot openings, as well as the air gap length parameters, are obtained. Comparing the noise optimization results before and after, vibration noise suppression is confirmed. The steps for obtaining the optimal auxiliary slot parameters in S6 are as follows: Initialize the auxiliary slot parameters and randomly generate 1000 parameter points; perform sensitivity analysis to identify parameter points highly sensitive to the optimization objectives of radial electromagnetic force, torque, and torque ripple; perform multi-objective genetic algorithm optimization on these highly sensitive parameter points, limiting the optimization objective to finding the point with minimum radial electromagnetic force, minimum torque ripple, and maximum torque; the optimal solution of the multi-objective optimization is the set of all Pareto solutions, and the set of all Pareto solutions is obtained; the Pareto front solution is visualized using a parallel coordinate plot post-processing tool to intuitively demonstrate the trade-offs between variables and the objective function in the multi-objective optimization, ultimately obtaining the optimal auxiliary slot and stator slot openings Bs0, as well as the air gap length parameters, verifying the accuracy of the results.

[0060] Specifically, in this invention, the permanent magnet synchronous motor used is as follows: Figure 1 And as shown in Table 1

[0061] Table 1 Main structural parameters of the motor

[0062]

[0063] Specifically, based on the main dimensional parameters of the motor in Table 1, simulation modeling was performed using finite element software, and the rated torque was found to be 7.73 Nm, the torque ripple was 19%, and the rated current was 36.14 A.

[0064] Specifically, the auxiliary slots and stator slot openings Bs0 on the d and q axes of the motor stator, as well as the air gap length, are detailed in the instruction manual appendix. Figure 2 This includes stator slot 1, air gap 2, d-axis auxiliary hole 3, and q-axis auxiliary hole 4 (where the q-axis auxiliary hole is the small circle corresponding to the air gap, and the d-axis auxiliary hole is the large dashed circle corresponding to it); specifically, Figure 4 The horizontal axis represents the spatial order of the electromagnetic force, and the vertical axis represents the temporal order. It can be seen that the radial electromagnetic force is relatively high at spatial order 0 (6th harmonic), spatial order 16 (2nd harmonic), spatial order 16 (8th harmonic), and spatial order 16 (10th harmonic). The instruction manual also includes... Figure 5 The sound power level waterfall plot shows that the motor noise is more pronounced at 6f, 8f, and 10f.

[0065] Specifically, by examining the radial electromagnetic force generated by the motor, it was found that the radial electromagnetic force is relatively high at the 0th order (6th harmonic), 16th order (2nd harmonic), 16th order (8th harmonic), and 16th order (10th harmonic) frequencies in space. This is based on the sound power level waterfall diagram (see the instruction manual appendix). Figure 4The main harmonics generating noise were identified as the 0th harmonic of the spatial order (6th harmonic), the 16th harmonic of the spatial order (8th harmonic), and the 16th harmonic of the spatial order (10th harmonic). Therefore, these three harmonic components were set as the final optimization targets, with the 0th harmonic of the spatial order (6th harmonic) being the primary target. Combined with the requirement for low torque ripple, the final optimization targets for torque and torque ripple were also set.

[0066] Specifically, the set of all Pareto solutions is obtained through optimization using the multi-objective genetic algorithm (NSGA-II), as shown in the appendix to the manual. Figure 6 As shown, the Pareto front solution is visualized and analyzed using the post-processing tool Parallel Coordinates Plot to intuitively demonstrate the trade-off between variables and the objective function in multi-objective optimization. Thus, the optimal auxiliary slot and stator slot opening Bs0, as well as the air gap length parameter, are obtained.

[0067] As shown in Table 2, the four sets of optimization variables for the rotor auxiliary slot, the stator slot opening, and the air gap length are set as optimization objectives. H_q represents the distance from the center of the q-axis auxiliary hole to the center of the entire model, in mm; H_d represents the distance from the center of the d-axis auxiliary hole to the center of the entire model, in mm; R_q represents the radius of the q-axis auxiliary hole, in mm; R_d represents the radius of the d-axis auxiliary hole, in mm; Bs0 represents the width of the stator slot opening, in mm; and Q_x represents the air gap length, in mm.

[0068] Table 2 Comparison of Permanent Magnet Synchronous Motor Before and After Optimization

[0069]

[0070] Specifically, as shown in the table, opening auxiliary holes on the rotor's d and q axes can optimize motor noise while ensuring the motor's torque performance. See the attached instruction manual for details. Figure 7 As shown, the peak noise level decreased from 61.4 dBA to 49 dBA, a 20% reduction. See the attached manual for details. Figure 8 As shown, the torque performance of the motor remains basically unchanged. Although the output torque of the motor is slightly reduced, the torque ripple is reduced at the same time.

[0071] In summary, to address the vibration and noise issues of permanent magnet motors, this invention develops a comprehensive design method based on rotor auxiliary slot optimization. This method, through multi-parameter collaborative optimization, suppresses electromagnetic harmonics and reduces torque ripple while improving the motor's output characteristics, providing a solution for low-noise, high-precision applications such as electric vehicle drive motors.

[0072] The above embodiments are only for illustrating the technical concept and features of the present invention, and are intended to enable those skilled in the art to understand the content of the present invention and implement it accordingly. They should not be construed as limiting the scope of protection of the present invention. All equivalent changes or modifications made in accordance with the spirit and essence of the present invention should be covered within the scope of protection of the present invention.

Claims

1. A method of reducing vibration noise of a permanent magnet synchronous motor, characterized by, Comprise the following steps: S1, according to the detailed size of permanent magnet synchronous motor, through the finite element simulation software to establish electromagnetic model, according to the electromagnetic model is simulated, and according to the simulation result to view the radial electromagnetic force density in air gap length, carries out time and space two-dimensional Fourier transform, determines the main harmonic of torque; S2, modal simulation analysis is carried out to permanent magnet synchronous motor, the natural frequency and vibration mode of motor are calculated, whether the natural frequency is close to the radial electromagnetic force is viewed, whether resonance is generated is judged; S3, under the premise of not generating resonance, the permanent magnet synchronous motor radial electromagnetic force data under multiple rotating speeds is loaded to the stator tooth, the remote load is introduced into the acoustic simulation software, the acoustic power level waterfall chart is generated through acoustic simulation, the main harmonic of torque and the harmonic of noise are compared in S1, the main harmonic of noise is determined, the main harmonic of noise in S3 is spatial 0 order 6 times frequency, spatial 16 order 8 times frequency, spatial 16 order 10 times frequency; S4, auxiliary slots are opened on the rotor of the motor on different axes, the auxiliary slot radius, auxiliary slot position, stator slot opening width and air gap length are taken as optimization variables; S5, multi-objective genetic algorithm optimization is used, the noise minimization of main harmonic of noise, torque ripple suppression and maximum torque are taken as optimization objectives, finally the optimal auxiliary slot radius, auxiliary slot position, stator slot opening width and air gap length parameters are obtained, the noise optimization before and after is compared, whether the vibration noise is suppressed is judged; In S5, auxiliary slots are opened on the d axis and q axis of the motor stator, wherein the d axis is the axis formed by the center line of the stator slot opening and the model center, and the q axis is the axis formed by the midpoint between the centers of two adjacent stator slot openings and the model center; In S5, the optimization variables are the distance H_q from the q auxiliary hole center to the whole model center, the distance H_d from the d axis auxiliary hole center to the whole model center, the q axis auxiliary hole radius R_q, the d axis auxiliary hole radius R_d, the stator slot opening Bs0 and the air gap length; In S5, the optimal auxiliary slot parameters include the following steps: (1) initialize the auxiliary hole parameters, and randomly generate multiple parameter points; (2) sensitivity analysis is carried out, and the parameter points with high sensitivity to optimization objectives radial electromagnetic force, torque and torque ripple are screened out; (3) multi-objective genetic algorithm optimization is carried out to the high sensitive parameter points, the optimization objectives are limited to find the points with minimum radial electromagnetic force, minimum torque ripple and maximum torque, the optimal solution of multi-objective genetic algorithm optimization is the set of all Pareto solutions, and the set of all Pareto solutions is obtained; (4) the Pareto solution is visualized and analyzed by parallel coordinate diagram through post-processing tool, to show the trade-off relationship between each variable and objective function in multi-objective genetic algorithm optimization, finally the optimal auxiliary slot, stator slot opening width Bs0 and air gap length parameters are obtained, and the accuracy of the results is verified.

2. The method of claim 1, wherein, In S1, the permanent magnet synchronous motor is a 48-slot / 16-pole permanent magnet synchronous motor.

3. The method of claim 1, wherein, The torque expression group is （1） wherein is the number of pole pairs, is the permanent magnet flux linkage, is the direct axis inductance, is the quadrature axis inductance, is the direct axis current, is the quadrature axis current, is the average output torque, and is the torque maximum and torque minimum, is the torque ripple; The permanent magnet flux linkage formula expression is (2): （2） wherein is the number of turns of the winding, is the residual magnetism of the permanent magnet, is the effective cross-sectional area of the air gap.

4. The method of claim 1, wherein, The permanent magnet synchronous motor is a flat wire motor, adopts a U-shaped permanent magnet design, and the models of the stator and rotor cores are M250-35A_20C and M350-35A_20C respectively, and the shell is made of aluminum alloy material.

5. A device for reducing vibration noise of a permanent magnet synchronous motor, characterized by, The method comprises the following steps: A model establishing unit is configured to establish an electromagnetic model by using finite element simulation software according to the detailed size of the permanent magnet synchronous motor, perform simulation according to the electromagnetic model, view the radial electromagnetic force density in the air gap length according to the simulation result, perform two-dimensional Fourier transform in time and space, and determine the main harmonic of the generated torque. A resonance judging unit is configured to perform modal simulation analysis on the permanent magnet synchronous motor, calculate the natural frequency and mode shape of the motor, and judge whether resonance is generated by viewing whether the natural frequency is close to the frequency of the radial electromagnetic force. An acoustic simulation unit is configured to load the radial electromagnetic force data of the permanent magnet synchronous motor at multiple rotating speeds to the stator teeth under the premise that resonance is not generated, introduce the remote load into acoustic simulation software, generate an acoustic power level waterfall chart by acoustic simulation, and determine the main harmonic of the generated noise. An optimization variable determining unit is configured to open auxiliary grooves on the rotor of the motor at different axes, and take the auxiliary groove radius, auxiliary groove position, stator slot opening width and air gap length as optimization variables. An optimization unit is configured to perform optimization by using a multi-objective genetic algorithm, take noise minimization, torque ripple suppression and maximum torque as optimization objectives, finally obtain the optimal auxiliary groove radius, auxiliary groove position, stator slot opening width and air gap length parameters, and compare the noise before and after optimization to judge whether the vibration noise is suppressed. Specifically, auxiliary grooves are opened on the d-axis and q-axis of the motor stator, the d-axis is an axis formed by the center line of the stator slot opening and the center of the model, and the q-axis is an axis formed by the midpoint between the centers of two adjacent stator slot openings and the center of the model; the optimization variables are the distance H_q from the center of the q-axis auxiliary hole to the center of the entire model, the distance H_d from the center of the d-axis auxiliary hole to the center of the entire model, the q-axis auxiliary hole radius R_q, the d-axis auxiliary hole radius R_d, the stator slot opening Bs0 and the air gap length; and the optimal auxiliary groove parameters are obtained as follows: (1) initialize the auxiliary hole parameters and randomly generate multiple parameter points; (2) perform sensitivity analysis and select parameter points that are highly sensitive to the optimization objectives of the radial electromagnetic force, torque and torque ripple; (3) perform multi-objective genetic algorithm optimization on the highly sensitive parameter points, limit the optimization objectives to find the points with the minimum radial electromagnetic force, minimum torque ripple and maximum torque, the optimal solution of the multi-objective genetic algorithm optimization is the set of all Pareto solutions, and the set of all Pareto solutions is obtained; (4) perform visual analysis on the Pareto solutions by using a parallel coordinate diagram of a post-processing tool to show the trade-off relationship between each variable and the objective function in the multi-objective genetic algorithm optimization, finally obtain the optimal auxiliary groove, stator slot opening width Bs0 and air gap length parameters, and verify the accuracy of the result.

6. An apparatus for reducing vibration noise of a permanent magnet synchronous motor, characterized by, The application relates to a computer program product comprising a memory having stored therein a computer program, the computer program being executable by a processor to implement the method for reducing vibration noise of a permanent magnet synchronous motor according to any one of claims 1 to 4.

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