不均匀气隙表贴式永磁同步电机磁场解析计算

doi:10.19595/j.cnki.1000-6753.tces.210299

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Abstract In order to achieve sinusoidal back EMF and low torque ripple in the design process of permanent magnet motor for industrial robot and numerical control machine, the uneven air gap structure of bread-shaped or eccentric pole cutting is often used. Based on the differential principle, the rotor pole of the non-uniform air gap structure was divided into four subdomains: permanent magnet, air gap, slot opening and stator slot, and the Poisson equation and Laplace equation were established. The partial differential equation was solved by the variable separation method and the Fourier series method. The harmonic coefficients of each subdomain were solved by the boundary conditions to obtain the magnetic field distribution of each segmented pole, and then the two-dimensional magnetic field distribution of the electric machine was obtained by the equivalent superposition based on the integral principle. The analytical method also takes into account the pole rotor structure of tile type, eccentric type and bread type, and can calculate the no-load, armature and load magnetic field characteristics of the motor with any number of units. Accordingly, the torque and no-load back EMF characteristics can be calculated. The analytical method is verified by the comparison of the prototype test results, the finite element simulation results and the analytical results, which can quickly guide the motor design.

Key words： Permanent magnet synchronous motor subdomain analysis method uneven air gap isopolar arc segmentation magnetic field performance

Received: 11 March 2021

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TM315

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	Articles by authors
	Zhao Shihao
	Chen Jinhua
	Zhang Chi
	Li Zheng
	Meng Yulong

Cite this article:

Zhao Shihao,Chen Jinhua,Zhang Chi等. Analytical Calculation of Magnetic Field of Permanent Magnet Synchronous Motor with Uneven Air Gap Structure[J]. Transactions of China Electrotechnical Society, 2022, 37(14): 3502-3513.

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https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.210299 OR https://dgjsxb.ces-transaction.com/EN/Y2022/V37/I14/3502

[1] Zhu Ziqiang, Wu Lijian, Xia Zhenping.An accurate subdomain model for magnetic field computation in slotted surface-mounted permanent-magnet machines[J]. IEEE Transactions on Magnetics, 2010, 46(4): 1100-1115.
[2] Wu Lijian, Zhu Ziqiang, Staton D, et al.An improved subdomain model for predicting magnetic field of surface-mounted permanent magnet machines accounting for tooth-tips[J]. IEEE Transactions on Magnetics, 2011, 47(6): 1693-1704.
[3] Rahideh A, Korakianitis T.Analytical magnetic field distribution of slotless brushless machines with inset permanent magnets[J]. IEEE Transactions on Mag-netics, 2011, 47(6): 1763-1774.
[4] Rahideh A, Korakianitis T.Analytical armature reaction field distribution of slotless brushless machines with inset permanent magnets[J]. IEEE Transactions on Magnetics, 2012, 48(7): 2178-2191.
[5] Rahideh A, Korakianitis T.Analytical magnetic field calculation of slotted brushless permanent-magnet machines with surface inset magnets[J]. IEEE Transa-ctions on Magnetics, 2012, 48(10): 2633-2649.
[6] Rahideh A, Mardaneh M, Korakianitis T.Analytical 2-D calculations of torque, inductance, and back-EMF for brushless slotless machines with surface inset magnets[J]. IEEE Transactions on Magnetics, 2013, 49(8): 4873-4884.
[7] Lubin T, Mezani S, Rezzoug A.2-D exact analytical model for surface-mounted permanent-magnet motors with semi-closed slots[J]. IEEE Transactions on Magnetics, 2011, 47(2): 479-492.
[8] Lubin T, Mezani S, Rezzoug A.Two-dimensional analytical calculation of magnetic field and electro-magnetic torque for surface-inset permanent-magnet motors[J]. IEEE Transactions on Magnetics, 2012, 48(6): 2080-2091.
[9] 张凤阁, 陈进华, 刘光伟, 等. 面贴式异向旋转双转子永磁电机的磁场解析计算[J]. 电工技术学报, 2011, 26(12): 28-36.
Zhang Fengge, Chen Jinhua, Liu Guangwei, et al.Analytical solution of magnetic field for surface-mounted permanent magnet machines with anti-rotation dual rotors[J]. Transaction of China Electro-technical Society, 2011, 26(12): 28-36.
[10] 李琛, 章跃进, 仇志坚. 无轴承交替极永磁电机空载气隙磁场全局解析模型[J]. 电工技术学报, 2012, 27(11): 104-110.
Li Chen, Zhang Yuejin, Qiu Zhijian, et al.Exact analytical model for the no-load air-gap magnetic field calcution in consequent-pole permanent magnet bearingless motor[J]. Transaction of China Electro-technical Society, 2012, 27(11): 104-110.
[11] 郭思源, 周理兵, 曲荣海, 等. 基于精确子域模型的游标永磁电机解析磁场计算[J]. 中国电机工程学报, 2013, 33(30): 71-80.
Guo Siyuan, Zhou Libing, Qu Ronghai, et al.Analy-tical magnetic field calcution of vernier permanent-magnet machines based on accurate subdomain model[J]. Proceedings of the CSEE, 2013, 33(30): 71-80.
[12] 张守首, 郭思源. 考虑分段斜极和磁性槽楔的永磁同步电机磁场解析方法[J]. 电工技术学报, 2019, 34(1): 11-22.
Zhang Shoushou, Guo Siyuan.Analytical magnetic field method of permanent magnet synchronous machine considering step-skewed magnets and mag-netic slot wedge[J]. Transaction of China Electro-technical Society, 2019, 34(1): 11-22.
[13] 李灏淳, 李立毅, 于吉坤, 等. 多边形转子磁轭永磁同步电机空载气隙磁场解析计算[J]. 中国电机工程学报, 2018, 38(11): 3354-3364.
Li Haochun, Li Liyi, Yu Jikun, et al.Analytic calculation of no-load air-gap magnetic fields of polygonal rotor magnetic yoke permanent magnet synchronous motors[J]. Proceedings of the CSEE, 2018, 38(11): 3354-3364.
[14] 胡鹏飞, 王东, 靳栓宝, 等. 偏心磁极永磁电机气隙磁场正弦优化模型[J]. 电工技术学报, 2019, 34(18): 3759-3768.
Hu Pengfei, Wang Dong, Jin Shuanbao, et al.Sinusoidal optimization model for air gap magnetic field of eccentric magnetic pole permanent magnet motor[J]. Transaction of China Electrotechnical Society, 2019, 34(18): 3759-3768.
[15] 倪有源, 王磊, 王群京. 凸形不等厚磁极永磁电机建模与分析[J]. 电工技术学报, 2020, 35(11): 2406-2414.
Ni Youyuan, Wang Lei, Wang Qunjing.Modeling and analysis of permanent magnet machines with salient shape unequal thickness magnets[J]. Transaction of China Electrotechnical Society, 2020, 35(11): 2406-2414.
[16] Zhou Yu, Li Huaishu, Meng Guangwei, et al.Analytical calculation of magnetic field and cogging torque in surface-mounted permanent-magnet machines accounting for any eccentric rotor shape[J]. IEEE Transactions on Industrial Electronics, 2015, 62(6): 3438-3447.
[17] 赵国新, 张宇, 葛红岩, 等. 偏心磁极永磁电机气隙磁密解析计算方法研究[J]. 电机与控制学报, 2020, 24(6): 24-32.
Zhao Guoxin, Zhang Yu, Ge Hongyan, et al.Prediction of flux density distribution inpermanent magnet motor with eccentric magnetic pole[J]. Electric Machine and Control, 2020, 24(6): 24-32.
[18] Wu Lijian, Zhu Ziqiang.Analytical modeling of surface-mounted PM machines accounting for magnet shaping and varied magnet property distribution[J]. IEEE Transactions on Magnetics, 2014, 50(7): 1-11.
[19] 于占洋, 李岩, 井永腾, 等. 基于混合磁场解析法的磁极偏心型表贴式永磁同步电机空载特性分析[J]. 电工技术学报, 2020, 35(18): 3811-3820.
Yu Zhanyang, Li Yan, Jing Yongteng, et al.No-load characteristic analysis of surface-mounted permanent magnet synchronous motor with non-concentric pole based on hybrid magnetic field analysis method[J]. Transaction of China Electrotechnical Society, 2020, 35(18): 3811-3820.