基于小样本WPRBF-MEVO车用电机转矩脉动优化抑制研究

doi:10.19562/j.chinasae.qcgc.2025.10.010

Abstract

Abstract:

The torque ripple of the drive motor directly affects the NVH performance of the entire vehicle. To address the optimization and suppression challenge of this issue， a collaborative optimization framework integrating the Weighted Average and Polynomial Augmented Radial Basis Function （WPRBF） surrogate model and the Multi- Objective Energy Valley Optimizer （MEVO） algorithm is proposed. Firstly， a parametric finite element model of the motor is established and verified through bench tests. Secondly， Latin hypercube sampling is employed for experimental design to obtain samples， and the WPRBF method is proposed to construct a high-precision surrogate model. Finally， the MEVO algorithm is used for multi-objective optimization design， and the entropy weight-fuzzy set theory comprehensive decision-making mechanism is introduced to obtain the Pareto front optimal solution. The results show that：（1） Under the same modeling accuracy， the WPRBF model requires approximately 40% fewer samples than the traditional KRG surrogate model；（2） After optimization， the mean value of the motor torque output increases by 6.83%， with the torque ripple coefficient decreasing by 20.00%， and the peak value of cogging torque reduced by 23.80%. This verifies the effectiveness of the method proposed in this paper.

Key words: electric drive system, multi-objective optimization, surrogate model, FEA

Long Chen,Feihong Li,Xiaobin Chen,Chuanhao Lu,Xiaonan Zhao,Qiaobin Liu. Research on Optimization and Suppression of Torque Ripple of Vehicle Motor Based on Small Sample WPRBF-MEVO[J].Automotive Engineering, 2025, 47(10): 1942-1952.

Figures/Tables 27

参数	数值
基函数	$? r = r 3$
误差	0.1
插值核作用半径	0.1
转矩均值WPRBF权重	$β 0$
转矩脉动系数WPRBF权重	$β 1$
齿槽转矩峰值WPRBF权重	$β 2$

衰变类型	公式
$α$ 衰变	$X i N e w 1 = X i (X B S (x i j)), i = 1,2, …, n j = A l p h a Ⅱ ???$
$β$ 衰变	$X i N e w 2 = X i + (r 1 × X B S - r 2 × X C P) S L i$ $X i N e w 2' = X i + (r 3 × X B S - r 4 × X N)$
$γ$ 衰变	$X i N e w 3 = X i (X N (x i j)), i = 1,2, …, n j = G a m m a Ⅱ$
电子捕获	$X i N e w 4 = X i + r, i = 1,2, …, n$

$D 1$	$H R i b$	$L 1$	O₂	W₁
71.982 484	0.032 098 064	1.317 213 4	12.877 557	19.651 435
73.475 345	0.014 302 169	3.298 427 9	11.032 604	24.959 621
71.656 539	0.047 833 697	1.283 059 2	12.930 876	18.952 565
73.484 441	0.655 272 215	3.298 469 4	11.068 759	24.959 314
73.485 187	0.635 920 307	3.298 484 0	11.073 335	24.955 073
71.764 660	0.035 615 984	1.300 415 4	12.906 738	19.639 133
73.444 091	0.783 953 156	3.297 777 3	11.025 221	24.820 774

$D 1$	$H R i b$	$L 1$	O₂	W₁
72.619 37	0.01	3.3	13	25
72.570 01	0.01	3.3	13	25
71.616 97	0.01	3.3	13	25
72.303 03	0.01	3.3	13	25
72.303 03	0.01	3.3	13	25
73.5	0.033 046	3.3	13	24.217 45
73.5	0.01	3.3	13	24.293 89

References 20

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参数	初值/mm	优化空间/mm
D₁/mm	72.6	［71.5，73.5］
O₁/mm	0.5	［0.4，0.6］
W₁/mm	24.5	［19，25］
O₂/mm	13	［11，13］
L₁/mm	2.8	［1.7，3.3］
R_ib/mm	0.2	［0.1，0.3］
HR_ib/mm	0.3	［0，0.8］
B₁/mm	2.8	［2.7，2.9］

项目	实验值	仿真值	相对误差
转矩均值/（N·m）	2.549 9	2.467 2	3.24%
转矩均方根/（N·m）	2.550 3	2.467 5	3.25%

实验序数	B₁/mm	D₁/mm	HR_ib /mm	L₁/mm	O₁/mm	O₂/mm	R_ib /mm	W₁/mm
1	2.8	71.7	0.5	2.2	0.6	12.0	0.2	24.8
2	2.8	73.0	0.0	2.4	0.5	13.0	0.3	19.5
3	2.8	72.9	0.7	2.1	0.4	11.5	0.1	18.6
4	2.7	73.3	0.4	2.0	0.5	11.3	0.1	20.6
5	2.9	72.4	0.7	1.7	0.5	12.9	0.3	21.6
6	2.7	72.7	0.4	2.2	0.5	11.1	0.3	22.3
…	…	…	…	…	…	…	…	…
24	2.8	72.8	0.2	2.6	0.6	12.7	0.1	23.8
25	2.8	71.6	0.8	1.5	0.4	11.8	0.2	23.5

项目	B₁/mm	D₁/mm	HR_ib /mm	L₁/mm	O₁/mm	O₂/mm	R_ib /mm	W₁/mm
转矩均值	0.060 5	0.439 1	-0.210 6	0.908 2	-0.150 6	0.029 2	-0.296 1	0.265 9
转矩脉动系数	0.132 8	0.019 3	0.029 9	-0.008 6	-0.034 2	-0.055 2	0.282 2	0.332 1
齿槽转矩峰值	0.043 0	0.618 4	-0.246 6	0.736 3	-0.088 8	0.063 4	-0.194 8	0.332 1

转矩脉动系数/%	转矩均值/（N·m）	齿槽转矩峰值/（mN·m）
1.296	0.476	-13.137
1.645	3.255	42.349
2.030	0.317	-17.715
-2.015	3.169	13.086
-1.896	3.172	14.069
1.438	0.410	-15.378
-2.919	3.117	5.912

Research on Optimization and Suppression of Torque Ripple of Vehicle Motor Based on Small Sample WPRBF-MEVO

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Figures/Tables 27

References 20

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转矩脉动系数/%	转矩均值/（N·m）	齿槽转矩峰值/（mN·m）
4.518 019	3.261 304	68.717 7
1.823 714	3.011 497	40.774 87
1.869 061	3.019 563	41.351 2
3.592 545	3.183 229	60.086 25
3.592 545	3.183 229	60.086 25
6.600 118	3.392 11	90.791 81
6.590 538	3.399 91	91.008 48

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性能指标	MEVO	gamultiobj
Spacing	0.346 7	0.736 3
Spread	0.466 5	0.163 9