The Influence of High-Order Force on Electromagnetic Vibration of Permanent Magnet Synchronous Motors
Hong Jianfeng, Wang Shanming, Sun Yuguang, Sun Xudong, Cao Haixiang
State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment Department of Electrical Engineering Tsinghua University Beijing 100084 China
Abstract:The influences of electromagnetic force harmonics with high mode number on electromagnetic vibration of permanent magnet motor under no load and load condition is analyzed. First, the amplitude, frequency and order of the electromagnetic force of the motor are derived by the Maxwell stress tensor method. Then, the low- and high-order forces that cause low-mode vibration under no-load and load conditions are calculated, and the influence of tooth width on the forces is discussed. Next, the contributions of two kinds of electromagnetic forces to the low-order electromagnetic vibration is analyzed and compared in detail by the modal superposition method, and the analytical results are verified by the finite element method. Finally, the no-load electromagnetic vibration test is carried out on a 10-pole 12-slot permanent magnet motor, and the experimental results are consistent with the simulation results. The results show that the high-order force can cause large low-mode vibrations, but in fractional slot PM motors, its contribution decreases with the increase of load. This paper can provide an idea for the accurate vibration prediction and vibration reduction of the slotted permanent magnet motor.
洪剑锋, 王善铭, 孙宇光, 孙旭东, 曹海翔. 高模数电磁力对永磁电机电磁振动影响[J]. 电工技术学报, 2022, 37(10): 2446-2458.
Hong Jianfeng, Wang Shanming, Sun Yuguang, Sun Xudong, Cao Haixiang. The Influence of High-Order Force on Electromagnetic Vibration of Permanent Magnet Synchronous Motors. Transactions of China Electrotechnical Society, 2022, 37(10): 2446-2458.
[1] 马伟明, 王东, 程思为, 等. 高性能电机系统的共性基础科学问题与技术发展前沿[J]. 中国电机工程学报, 2016, 36(8): 2025-2035. Ma Weiming, Wang Dong, Cheng Siwei, et al.Common basic scientific problems and development of leading-edge technology of high performance motor system[J]. Proceedings of the CSEE, 2016, 36(8): 2025-2035. [2] Yang Haodong, Chen Yangsheng.Influence of radial force harmonics with low mode number on electro- magnetic vibration of PMSM[J]. IEEE Transactions on Energy Conversions, 2014, 29(1): 38-45. [3] 陈益广, 韩柏然, 沈勇环. 永磁同步推进电机电磁振动分析[J]. 电工技术学报, 2017, 32(23): 16-22. Chen Yiguang, Han Boran, Shen Yonghuan.Electro- magnetic vibration analysis of permanent magnet synchronous propulsion motor[J]. Transactions of China Electrotechnical Society, 2017, 32(23): 16-22. [4] 杨浩东, 陈阳生, 邓志奇. 永磁同步电机常用齿槽配合的电磁振动[J]. 电工技术学报, 2011, 26(9): 24-30. Yang Haodong, Chen Yangsheng, Deng Zhiqi.Electro- magnetic vibration of PM synchronous motors with different combinations of slot and pole number[J]. Transactions of China Electrotechnical Society, 2011, 26(9): 24-30. [5] Carraro E, Bianchi N, Zhang S, et al.Design and performance comparison of fractional slot con- centrated winding spoke type synchronous motors with different slot-pole combinations[J]. IEEE Transactions on Industry Applications, 2018, 54(3): 2276-2284. [6] Zhu Z Q, Xia Z P, Wu Lijian, et al.Analytical modeling and finite-element computation of radial vibration force in fractional-slot permanent-magnet brushless machines[J]. IEEE Transactions on Industry Applications, 2010, 46(5): 1908-1918. [7] Timar P, Fazekas A, Kiss J, et al.Noise and vibration of electrical machines[M]. New York: Elsevier, 1989: 69-89. [8] 林福, 左曙光, 毛钰, 等. 考虑电流谐波的永磁同步电机电磁振动和噪声半解析模型[J]. 电工技术学报, 2017, 32(9): 24-31. Lin Fu, Zuo Shuguang, Mao Yu, et al.Semi-analytical model of vibration and noise for permanent magnet synchronous motor considering current harmonics[J]. Transactions of China Electrotechnical Society, 2017, 32(9): 24-31. [9] Chen Yangsheng, Zhu Ziqiang, Howe D.Vibration of PM brushless machines having a fractional number of slots per pole[J]. IEEE Transaction on Magnetics, 2006, 42(10): 3395-3397. [10] Islam R, Husain I.Analytical model for predicting noise and vibration in permanent-magnet synchronous motors[J]. IEEE Transactions on Industry Appli- cations, 2010, 46(6): 2346-2354. [11] 李晓华, 黄苏融, 李良梓. 电动汽车用永磁同步电机振动噪声的计算与分析[J]. 电机与控制学报, 2013, 17(8): 37-42. Li Xiaohua, Huang Surong, Li Liangzi.Calculation and analysis of vehicle vibration and noise of permanent magnet synchronous motor applied in electric vehicle[J]. Electric Machines and Control, 2013, 17(8): 37-42. [12] 刘和平, 刘庆, 张威, 等. 电动汽车用感应电机削弱振动和噪声的随机PWM控制策略[J]. 电工技术学报, 2019, 34(7): 1488-1495. Liu Heping, Liu Qing, Zhang Wei, et al.Random PWM technique for acoustic noise and vibration reduction in induction motors used by electric vehicles[J]. Transactions of China Electrotechnical Society, 2019, 34(7): 1488-1495. [13] 李晓华, 赵容健, 田晓彤, 等. 逆变器供电对电动汽车内置式永磁同步电机振动噪声特性影响研究[J]. 电工技术学报, 2020, 35(21): 4455-4464. Li Xiaohua, Zhao Rongjian, Tian Xiaotong, et al.Study on vibration and noise characteristics of interior permanent magnet synchronous machine for electric vehicles by inverter[J]. Transactions of China Electrotechnical Society, 2020, 35(21): 4455-4464. [14] Liang Wenyi.The investigation of electromagnetic radial force and associated vibration in permanent magnet synchronous machines[D]. Bedfordshire: Cranfield University, 2017. [15] Fang Haiyang, Li Dawei, Qu Ronghai, et al.Modu- lation effect of slotted structure on vibration response in electrical machines[J]. IEEE Transactions on Industrial Electronics, 2019, 66(4): 2998-3007. [16] Wang Shanming, Hong Jianfeng, Sun Yuguang, 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. [17] Huang Surong, Aydin M, Lipo T.Electromagnetic vibration and noise assessment for surface mounted PM machines[C]//Power Engineering Society Summer Meeting, Vancouver, Canada, 2001: 1417-1426. [18] 杨浩东. 永磁同步电机电磁振动分析[D]. 杭州: 浙江大学, 2011. [19] 杨浩东, 陈阳生. 分数槽永磁同步电机电磁振动的分析与抑制[J]. 中国电机工程学报, 2011, 31(24): 83-89. Yang Haodong, Chen Yangsheng.Electromagnetic vibration analysis and suppression of permanent magnet synchronous motor with fractional slot combination[J]. Proceedings of the CSEE, 2011, 31(24): 83-89. [20] 李晓华, 刘成健, 梅柏杉, 等. 电动汽车IPMSM宽范围调速振动噪声源分析[J]. 中国电机工程学报, 2018, 38(17): 5219-5227. Li Xiaohua, Liu Chengjian, Mei Boshan, et al.Vibration and noise source analysis of IPMSM for electric vehicles in a wide-speed range[J]. Proceedings of the CSEE, 2018, 38(17): 5219-5227. [21] Li Xiaohua, Huang Surong, Zhang Qi, et al.Electro- magnetic noise assessment for EV’s PM driving machines[C]//The 17th International Conference Elec- trical Machines and Systems, Hangzhou, 2014: 1552-1555.