Pole Width Modulation-based Low Vibration and Noise Design for Interior Permanent Magnet Synchronous Motor

doi:10.11985/2021.04.005

Abstract

Abstract:

For the integer slot interior permanent magnet synchronous motor (IPMSM), slot number order force is an important source of the zeroth mode vibration. Pole width modulation technology is used to modify the rotor, restrain slot number order force, and realize the low vibration and noise design. Firstly, the mathematical model of the temporal and spatial characteristics of electromagnetic force of the 72-slot/22-pole IPMSM is deduced. Then, the source of 72nd-order electromagnetic force is analyzed. Subsequently, pole width modulation technology is used to optimize the 72nd-order electromagnetic force, and the final optimization scheme is adopted by simulated validated. Finally, the multi-physical simulation model of electromagnetic vibration and noise is established to predict the electromagnetic force, modal characteristics, vibration response and radiation noise of machine are analyzed. Vibration displacement and sound pressure level are compared between the existed and proposed machine. The results verify the effectiveness of the proposed method. A new method for low vibration and noise design for IPMSM is provided.

Key words: Pole width modulation, slot number order force, modal analysis, low vibration and noise design, permanent magnet motor

CLC Number:

TM561

MA Chen, JI Jinghua, ZHAO Wenxiang, LIU Tong. Pole Width Modulation-based Low Vibration and Noise Design for Interior Permanent Magnet Synchronous Motor[J]. Journal of Electrical Engineering, 2021, 16(4): 33-41.

Figures/Tables 18

References 20

[1]	HAN Z, LIU J. Comparative analysis of vibration and noise in IPMSM considering the effect of MTPA control algorithms for electric vehicles[J]. IEEE Transactions on Power Electronics, 2021, 36(6):6850-6862. doi: 10.1109/TPEL.63
[2]	AMIN M, AZIZ G A A, DURKIN J, et al. A robust simplified dynamic observer-based backstepping control of six-phase induction motor for marine vessels applications[J]. IEEE Transactions on Industrial Electronics, 2020, 56(6):7044-7054.
[3]	MAO Y, ZHAO W, ZHU S, et al. Vibration investigation of spoke-type PM machine with asymmetric rotor considering modulation effect of stator teeth[J]. IEEE Transactions on Industrial Electronics, 2021, 68(10):9092-9103. doi: 10.1109/TIE.2020.3022530
[4]	王晓远, 贺晓钰, 高鹏. 电动汽车用V型磁钢转子永磁电机的电磁振动噪声削弱方法研究[J]. 中国电机工程学报, 2019, 35(16):4919-4926.
	WANG Xiaoyuan, HE Xiaoyu, GAO Peng. Research on electromagnetic vibration and noise reduction method of V type magnet rotor permanent magnet motor electric vehicles[J]. Proceedings of the CSEE, 2019, 35(16):4919-4926.
[5]	谢颖, 李飞, 黎志伟, 等. 内置永磁同步电机减振设计与研究[J]. 中国电机工程学报, 2017, 37(18):5437-5445.
	XIE Ying, LI Fei, LI Zhiwei, et al. Optimized design and research of vibration reduction with an interior permanent magnet synchronous motor[J]. Proceedings of the CSEE, 2017, 37(18):5437-5445.
[6]	LIU T, ZHAO W, JI J, et al. Effects of eccentric magnet on high-frequency vibroacoustic performance in integral-slot SPM machines[J]. IEEE Transactions on Energy Conversion, 2021, 36(3):2393-2403. doi: 10.1109/TEC.2021.3060752
[7]	邢泽智, 王秀和, 赵文良. 基于不同极弧系数组合分段倾斜磁极的表贴式永磁同步电机齿槽转矩削弱措施研究[J]. 中国电机工程学报, 2021, 41(16):5737-5747.
	XING Zezhi, WANG Xiuhe, ZHAO Wenliang. Research on reduction methods of cogging torque based on segmented skewing magnetic poles with different combinations of pole-arc coefficients in surface-mounted permanent magnet synchronous motors[J]. Proceedings of the CSEE, 2021, 41(16):5737-5747.
[8]	WU M, ZHAO W, JI J, et al. Reduction of tooth harmonic in fractional-slot concentrated-winding permanent-magnet machines using new stator design[J]. Journal of Magnetics, 2018, 23(2):218-228. doi: 10.4283/JMAG.2018.23.2.218
[9]	ZHOU M, ZHANG X, ZHAO W, et al. Influence of magnet shape on the cogging torque of a surface-mounted permanent magnet motor[J]. Chinese Journal of Electrical Engineering, 2021, 5(4):40-50. doi: 10.23919/CJEE.7873788
[10]	安跃军, 温宏亮, 安辉, 等. 磁极调制式永磁电机的磁场分析与实验[J]. 电工技术学报, 2012, 27(11):111-117.
	AN Yuejun, WEN Hongliang, AN Hui, et al. Magnetic field analysis and experiment of sinusoidal magnetic pole modulation permanent magnet machine[J]. Transactions of China Electrotechnical Society, 2012, 27(11):111-117.
[11]	CHAITHONGSUK S, TAKORABET N, KREUAWAN S. Reduction of eddy-current losses in fractional-slot concentrated-winding synchronous PM motors[J]. IEEE Transactions on Magnetics, 2015, 51(3):8102204.
[12]	王凯, 孙海阳, 张露锋, 等. 永磁同步电机转子磁极优化技术综述[J]. 中国电机工程学报, 2017, 37(24):7304-7317.
	WANG Kai, SUN Haiyang, ZHANG Lufeng, et al. An overview of rotor pole optimization techniques for permanent magnet synchronous machines[J]. Proceedings of the CSEE, 2017, 37(24):7304-7317.
[13]	ZHAO W, ZHU S, JI J, et al. Analysis and reduction of electromagnetic vibration in fractional-slot concentrated- windings PM machines[J]. IEEE Transactions on Industrial Electronics, 2021,DOI: 10.1109/TIE.2021.3071701. doi: 10.1109/TIE. 2021.3071701
[14]	WANG S, HONG J, SUN Y, et al. Analysis of zeroth-mode slot frequency vibration of integer slot permanent-magnet synchronous motors[J]. IEEE Transactions on Industrial Electronics, 2019, 67(4):2954-2964. doi: 10.1109/TIE.41
[15]	LAN H, ZOU J, XU Y, et al. Effect of local tangential force on vibration performance in fractional-slot concentrated winding permanent magnet synchronous machines[J]. IEEE Transactions on Energy Conversion, 2019, 34(2):1082-1093. doi: 10.1109/TEC.60
[16]	WANG S, HONG J, SUN Y, et al. Mechanical and magnetic pivot roles of tooth in vibration of electrical machines[J]. IEEE Transactions on Energy Conversion, 2021, 36(1):139-148. doi: 10.1109/TEC.60
[17]	LIANG W, LUK P C K, et al. Analytical study of stator tooth modulation on electromagnetic radial force in permanent magnet synchronous machines[J]. IEEE Transactions on Industrial Electronics, 2021, 68(12):11731-11739. doi: 10.1109/TIE.2020.3029462
[18]	ZHU S, ZHAO W, JI J, et al. Investigation of bread-loaf magnet on vibration performance in FSCW PMSM considering force modulation effect[J]. IEEE Transactions on Transportation Electrification, 2021, 7(3):1379-1389. doi: 10.1109/TTE.2020.3035180
[19]	FANG H, LI D, GUO J, et al. Hybrid model for electromagnetic vibration synjournal of electrical machines considering tooth modulation and tangential effects[J]. IEEE Transactions on Industrial Electronics, 2021, 68(8):7284-7293. doi: 10.1109/TIE.2020.3000137
[20]	ZOU J, LAN H, XU Y, et al. Analysis of global and local force harmonics and their effects on vibration in permanent magnet synchronous machines[J]. IEEE Transactions on Energy Conversion, 2017, 32(4):1523-1532. doi: 10.1109/TEC.2017.2720422

参数	数值
额定功率/kW	67
额定转速/(r/min)	4 282
额定转矩/(N·m)	116
绕组相数	6
极数/槽数	12/72
定子外径/mm	430
定子内径/mm	340
转子内径/mm	285
气隙长度/mm	1
永磁体厚度/mm	6
直轴电感/交轴电感/mH	3.62/6.38

分类	阶次	频率
第1类	(n₁+n₂)p	(n₁+n₂)f_r
	(n₁-n₂)p	(n₁-n₂)f_r
	(n₁+n₂)p±kZ	(n₁+n₂)f_r
	(n₁-n₂)p±kZ	(n₁-n₂)f_r
第2类	(n+ν)p±kZ	(n+1)f_r
第2类	(n-ν)p±kZ	(n-1)f_r
第3类	(ν₁-ν₂)p±kZ	0
第3类	(ν₁+ν₂)p±kZ	2f_r

永磁磁密阶次n	电枢v			永磁磁密阶次n
永磁磁密阶次n	1N_t	11N_t	13N_t	1p	11p
p	0/0	60/10	72/12	0/0	60/10
p	12/2	72/12	84/14	12/2	72/12
3p	12/2	48/8	60/10	12/2	48/8
3p	24/4	84/14	96/16	24/4	84/14
5p	24/4	36/6	48/8	24/4	36/6
5p	36/6	96/16	108/18	36/6	96/16
7p	36/6	24/4	36/6	36/6	24/4
7p	48/8	108/18	120/20	48/8	108/18
9p	48/8	12/2	24/4	48/8	12/2
9p	60/10	120/20	132/22	60/10	120/20
11p	60/10	0/0	12/2	60/10	0/0
11p	72/12	132/22	144/24	72/12	132/22

磁场谐波成分	径向力幅值/(N/cm²)
(1p, 11N_t)	10.6
(1p, 13N_t)	17.5
(1p, 11p)	9.95
(3p, 9p)	0.06
(5p, 7p)	0.15
(11p, 1N_t)	24.3

槽结构	结构模型
4槽
5槽
6槽
8槽