The Model of Pole Slot Radial Force Wave Compensation for Surface-Mounted Three-Phase Permanent Magnet Synchronous Motor and Parameter Identification
Xia Jiakuan1, Kang Le1, Zhan Yusheng2, Sun Yibiao1, Guo Mingyu1
1. School of Electrical Engineering Shenyang University of Technology Shenyang 110023 China; 2. Wuhan Institute of Marine Electric Propulsion Wuhan 430064 China
Abstract:In the radial force wave modulation of motor, harmonic current injection method is an effective method. In this paper, according to Maxwell stress tensor method, firstly, the spatial and temporal distribution model of the radial force wave in the pole slot generated by the electromagnetic action of the surface-mounted three-phase permanent magnet synchronous motor (PMSM) was deduced to determine the harmonic current frequency with compensation effect. Secondly, the single-frequency harmonic current injection compensation model was derived, and the least square method and Newton iteration method were used for parameter identification. Thirdly, the coupled radial force wave model was derived and the least square method was used to identify the parameters. Finally, the compensation model of multifrequency harmonic current injection was deduced. The model is verified by Ansys simulation and prototype experiment.
夏加宽, 康乐, 詹宇声, 孙宜标, 国明宇. 表贴式三相永磁同步电机极槽径向力波补偿模型及参数辨识[J]. 电工技术学报, 2021, 36(8): 1596-1606.
Xia Jiakuan, Kang Le, Zhan Yusheng, Sun Yibiao, Guo Mingyu. The Model of Pole Slot Radial Force Wave Compensation for Surface-Mounted Three-Phase Permanent Magnet Synchronous Motor and Parameter Identification. Transactions of China Electrotechnical Society, 2021, 36(8): 1596-1606.
[1] 李青, 杨德庆, 郁扬. 舰船低频水下辐射噪声数值计算方法对比研究[J]. 中国造船, 2017, 58(3): 114-127. Li Qing, Yang Deqing, Yu Yang.Comparative study on numerical methods for underwater low-frequency radiation noise of ship[J]. Shipbuilding of China, 2017, 58(3): 114-127. [2] 向万龙. 基于统计能量法的水下航行器振动分析[D]. 北京: 中国舰船研究院, 2017. [3] 李清, 于汉, 杨德庆. 多类振动噪声源下舰船水下噪声的耦合声场计算方法[J]. 上海交通大学学报, 2019, 53(2): 161-169. Li Qing, Yu Han, Yang Deqing.Coupled sound field calculating method for ship underwater noise excited by multiple categories of vibration and sound sources[J]. Journal of Shanghai Jiao Tong University, 2019, 53(2): 161-169. [4] 刘刚, 张强, 毛琨. 基于电压注入的高速永磁电机谐波电流抑制方法[J]. 电机与控制学报, 2016, 20(7): 8-16. Liu Gang, Zhang Qiang, Mao Kun.High-speed per- manent magnet synchronous motor current harmonics suppression based on voltage injection[J]. Electric Machines and Control, 2016, 20(7): 8-16. [5] 王硕, 康劲松. 一种基于自适应线性神经网络算法的永磁同步电机电流谐波提取和抑制方法[J]. 电工技术学报, 2019, 34(4): 654-663. Wang Shuo, Kang Jinsong.Harmonic extraction and suppression method of permanent magnet synchronous motor based on adaptive linear neural network[J]. Transactions of China Electrotechnical Society, 2019, 34(4): 654-663. [6] 贾红云, 程明, 花为, 等. 基于电流谐波注入的磁通切换永磁电机定位力矩补偿方法[J]. 中国电机工程学报, 2009, 29(27): 83-89. Jia Hongyun, Cheng Ming, Hua Wei, et al.Cogging torque compensation for flux-switching permanent magnet motor based on current harmonics injection[J]. Proceedings of the CSEE, 2009, 29(27): 83-89. [7] 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. [8] 廖勇, 甄帅, 刘刃, 等. 用谐波注入抑制永磁同步电机转矩脉动[J]. 中国电机工程学报, 2011, 31(21): 119-127. Liao Yong, Zhen Shuai, Liu Ren, et al.Torque ripple suppression of permanent magnet synchronous motor by the harmonic injection[J]. Proceedings of the CSEE, 2011, 31(21): 119-127. [9] 周明磊, 游小杰, 王琛琛, 等. 特定次谐波消除调制方式的谐波特性分析[J]. 电工技术学报, 2013, 28(9): 11-20. Zhou Minglei, You Xiaojie, Wang Chenchen, et al.Harmonic analysis of selected harmonic elimination pulse width modulation[J]. Transactions of China Electrotechnical Society, 2013, 28(9): 11-20. [10] Zhu Chong, Zeng Zhiyong, Zhao Rongxing.Com- prehensive analysis and reduction of torque ripples in three-phase four-switch inverter-fed PMSM drives using space vector pulse-width modulation[J]. IEEE Transactions on Power Electronics, 2017, 32(7): 5411-5424. [11] 史友情, 陶彩霞. 双Y移30°六相永磁同步电机谐波电流抑制技术[J]. 电机与控制应用, 2017, 44(3): 90-95. Shi Youqing, Tao Caixia.Techniques to restrain harmonics of six-phase permanent magnet synchronous motor with two Y-connected windings displaced by 30°[J]. Electric Machines and Control Application, 2017, 44(3): 90-95. [12] 李毅拓, 陆海峰, 瞿文龙, 等. 基于前馈补偿的永磁同步电机电流谐波抑制方法[J]. 清华大学学报:自然科学版, 2012, 52(3): 362-366. Li Yituo, Lu Haifeng, Qu Wenlong, et al.PMSM current harmonics suppression based on feedforward compensation[J]. Journal of Tsinghua University: Science and Technology, 2012, 52(3): 362-366. [13] Jin Xinhai, Li Baisong, Xu Dianguo.A current harmonics suppression method for permanent magnet synchronous motor drives[C]//IEEE Transportation Electrification Conference and Expo, Asia-Pacific, Harbin, 2017: 1-6. [14] Gao Jian, Wu Xuan, Huang Shoudao, et al.Torque ripple minimisation of permanent magnet synchronous motor using a new proportional resonant controller[J]. IET Power Electronics, 2017, 10(2): 208-214. [15] 高骏, 王磊, 周文, 等. 双馈风电机组电网背景谐波运行与谐波抑制策略研究[J]. 电力系统保护与控制, 2016, 44(23): 164-169. Gao Jun, Wang Lei, Zhou Wen, et al.Study on operating behavior and suppression strategy of doubly-fed induction generators wind turbine under harmonic grid voltage conditions[J]. Power System Protection and Control, 2016, 44(23): 164-169. [16] 麦志勤, 肖飞, 刘计龙, 等. 基于准比例谐振级联PI的双三相永磁同步电机谐波电流抑制策略[J]. 电工技术学报, 2018, 33(24): 5751-5759. Mai Zhiqin, Xiao Fei, Liu Jilong, et al.Harmonic current suppression strategy of dual three-phase permanent magnet synchronous motor based on quasi proportional resonant cascading PI[J]. Transactions of China Electrotechnical Society, 2018, 33(24): 5751-5759. [17] 李帅, 孙立志, 刘兴亚, 等. 永磁同步电机电流谐波抑制策略[J]. 电工技术学报, 2019, 34(1): 87-96. Li Shuai, Sun Lizhi, Liu Xingya, et al.Current harmonics suppression strategies of permanent magnet synchronous motor[J]. Transactions of China Electro- technical Society, 2019, 34(1): 87-96. [18] 武永燎, 李红, 宋欣达, 等. 基于改进型重复控制器的永磁同步电机电流谐波抑制方法研究[J]. 电工技术学报, 2019, 34(11): 2277-2286. Wu Yongliao, Li Hong, Song Xinda, et al.Suppression of harmonic current in permanent magnet synchronous motor using improved repetitive controller[J]. Transa- ctions of China Electrotechnical Society, 2019, 34(11): 2277-2286. [19] Pramanick S, Karthik R S, Azeez N A, et al.A harmonic suppression scheme for full speed range of a two-level inverter fed induction motor drive using switched capacitive filter[J]. IEEE Transactions on Power Electronics, 2017, 32(3): 2064-2071. [20] Li Lei, Lee Kok-Meng, Bai Kun, et al.Inverse models and harmonics compensation for suppressing torque ripples of multiphase permanent magnet motor[J]. IEEE Transactions on Industrial Electronics, 2018, 65(11): 8730-8739. [21] Lin Fu, Zuo Shuguang, Wu Xudong.Electromagnetic vibration and noise analysis of permanent magnet synchronous motor with different slot-pole com- binations[J]. IET Electric Power Applications, 2016, 10(9): 899-908. [22] 赵文峰, 赵博, 徐永向. 磁场干涉对永磁电机电磁力特性影响研究[J]. 电机与控制学报, 2018, 22(2): 33-40. Zhao Wenfeng, Zhao Bo, Xu Yongxiang.Research of permanent magnet motors cogging force affected by interferential magnetic field[J]. Electric Machines and Control, 2018, 22(2): 33-40. [23] 左曙光, 刘晓璇, 于明湖, 等. 永磁同步电机电磁振动数值预测与分析[J]. 电工技术学报, 2017, 32(1): 159-167. Zuo Shuguang, Liu Xiaoxuan, Yu Minghu, et al.Numerical prediction and analysis of electromagnetic vibration in permanent magnet synchronous motor[J]. Transactions of China Electrotechnical Society, 2017, 32(1): 159-167. [24] 陈益广, 潘玉玲, 贺鑫. 永磁同步电机分数槽集中绕组磁动势[J]. 电工技术学报, 2010, 25(10): 30-36. Chen Yiguang, Pan Yuling, He Xin.Magnetomotive force in permanent magnet synchronous machine with concentrated fractional-slot winding[J]. Transactions of China Electrotechnical Society, 2010, 25(10): 30-36. [25] 张冉. 表面式永磁电机电磁激振力波及其抑制措施研究[D]. 济南: 山东大学, 2011. [26] 罗琴琴, 苏建徽, 林志光, 等. 基于递推最小二乘法的虚拟同步发电机参数辨识方法[J]. 电力系统自动化, 2019, 43(1): 215-221. Luo Qinqin, Su Jianhui, Lin Zhiguang, et al.Parameter identification method for virtual synchronous gener- ators based on recursive least squares algorithm[J]. Automation of Electric Power Systems, 2019, 43(1): 215-221.