基于解析模型的永磁同步电机优化设计

doi:10.16180/j.cnki.issn1007-7820.2023.03.011

Abstract

Abstract:

Electromagnetic torque and eddy current loss are two important indexes of permanent magnet synchronous motor. Under the limited conditions of volume, effectively improving electromagnetic torque and reducing rotor eddy current loss are the key for motor design. In view of this problem, the analytical method is used to calculate the electromagnetic torque and eddy current loss respectively, and the PSO algorithm is used to optimize the size parameters of the motor. The analytical model includes armature reactive magnetic field and no-load magnetic field model. When calculating eddy current loss, eddy current reaction and circumferential segmentation of permanent magnet are considered. The objective function of the optimization algorithm uses weight values to convert multi-objective into single objective. The comparison between the analytical solution and the time-stepping finite element numerical solution shows that the error of the analytical solution is about 2%. The response surface of parameter influence analysis reveals that the correlation between electromagnetic torque and eddy current loss is consistent when the stator winding pitch is 25°. The optimization iteration results show that the optimized design reduces the average eddy current loss by 76%, the average electromagnetic torque by 22%, and the electromagnetic torque ripple by 68%.

Key words: surface-mounted permanent magnet synchronous machine, analytic model, diffusion equation, rotor eddy-current losses, electromagnetic torque, finite element analysis, particle swarm optimization, motor design

CLC Number:

TP319

ZHU Tuo,LI Zheng,ZHANG Kai,LI Zi. Optimal Design of Permanent Magnet Synchronous Machine Based on Analytic Model[J].Electronic Science and Technology, 2023, 36(3): 69-75.

Figures/Tables 8

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References 18

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项目	符号	数值	单位
相电流幅值	I	250	A
转子转速	n_r	1 000	rad·min^-1
极对数	p	7	-
槽数	Q_s	12	-
每相绕组匝数	N	20	-
绕组节距	α_y	π/6	rad
每极永磁体分段数	s	2	-
极弧系数	α_p	0.9	-
电机轴向长度	L_a	0.1	m
定子内径	R_s	0.17	m
永磁体外径	R_m	0.168	m
转子轭外径	R_r	0.153	m
定子槽口宽	b₀	0.01	m
真空绝对磁导率	μ₀	4π·10^-7	H·m^-1
永磁体相对磁导率	μ_m	1.099 778 540 6	-
永磁体电导率	σ_m	625 000	S·m^-1

Optimal Design of Permanent Magnet Synchronous Machine Based on Analytic Model

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