定子开槽永磁同步电机气隙比磁导解析计算

Abstract
Figure/Table
References
Related Citation (15)

Download: PDF (814 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract The combination of mirror image method and conformal transformation is used to calculate the air-gap relative permeance of slotted permanent magnet synchronous motor (PMSM). As a mirror, the surface of the ferromagnetic rotor is smooth. An image can be created from the air-gap of the slotted PMSM, and these two air-gap formed the analytical model. The air-gap relative permeance formula can be obtained by several conformal transformation. The analytical model could consider the slot effect on the radial and tangential components of the air gap magnetic field, and its analytical formula can be used to predict excitation magnetic field, armature magnetic field, electromagnetic force and cogging torque of the slotted PMSM. Based on the analytical model, air-gap relative permeance is solved on the specified path and in the region of a slotted PMSM. Compared with the finite element results, the accuracy of the analytical method is demonstrated.

Key words： Permanent magnet synchronous motors, air-gap relative permeance, slotted stator, mirror image, conformal transformation

Published: 04 January 2017

PACS:

TM351

Fund:国家杰出青年科学基金（51225702）和国家科技重大专项（2012- ZX04001051）资助项目

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	Yu Jikun
	Li Liyi
	Zhang Jiangpeng
	Cao Jiwei

Cite this article:

Yu Jikun,Li Liyi,Zhang Jiangpeng等. Analytical Calculation of Air-Gap Relative Permeance in Slotted Permanent Magnet Synchronous Motor[J]. Transactions of China Electrotechnical Society, 2016, 31(增刊): 45-52.

URL:

https://dgjsxb.ces-transaction.com/EN/ OR https://dgjsxb.ces-transaction.com/EN/Y2016/V31/I增刊/45

[1] 张凤阁, 杜光辉, 王天煜, 等. 高速电机发展与设计综述[J]. 电工技术学报, 2016, 31(7): 1-18. Zhang Fengge, Du Guanghui, Wang Tianyu, et al. Review on development and design of high speed machines[J]. Transactions of China Electrotechnical Society, 2016, 31(7): 1-18.
[2] 朱军, 田淼, 付融冰, 等. 基于载波频率成分的永磁同步电机转子定位研究[J]. 电力系统保护与控制, 2015, 43(14): 48-54. Zhu Jun, Tian Miao, Fu Rongbing, et al. Research on rotor position of permanent magnet synchronous motor based on carrier frequency component[J]. Power System Protection and Control, 2015, 43(14): 48-54.
[3] 王丹, 刘崇茹, 李庚银. 永磁直驱风电机组故障穿越优化控制策略研究[J]. 电力系统保护与控制, 2015, 43(24): 83-89. Wang Dan, Liu Chongru, Li Gengyin. Research on the fault ride-through optimal control strategy of PMSG- based wind turbine[J]. Power System Protection and Control, 2015, 43(24): 83-89.
[4] 李立毅, 于吉坤, 曹继伟, 等. 基于PWM逆变电路供电的永磁同步电机电压和电流的谐波通用型新算法[J]. 中国电机工程学报, 2015, 35(23): 6203-6213. Li Liyi, Yu Jikun, Cao Jiwei, et al. A universal and new harmonic algorithm of voltage and current of permanent magnet synchronous motors supplied by PWM inverter[J]. Proceedings of the CSEE, 2015, 35(23): 6203-6213.
[5] 赵霞, 周桢钧, 余渌绿, 等. 六相电励磁同步风力发电机组的稳态模型[J]. 电力系统保护与控制, 2016, 44(1): 77-84. Zhao Xia, Zhou Zhenjun, Yu Lulü, et al. Steady-state model of six-phase electrically excitation synchronous wind generators[J]. Power System Protection and Control, 2016, 44(1): 77-84.
[6] Wu L J, Zhu Z Q, Chen J T, et al. An analytical model of unbalanced magnetic force in fractional-slot surface- mounted permanent magnet machines[J]. IEEE Transac- tions on Magnetics, 2010, 46(7): 2686-2700．
[7] Zarko D, Ban D, Lipo T A．Analytical solution for cogging torque in surface permanent-magnet motors using conformal mapping[J]. IEEE Transactions on Magnetics, 2008, 44(1): 52-65．
[8] 唐任远, 陈萍, 佟文明, 等. 考虑涡流反作用的永磁体涡流损耗解析计算[J]. 电工技术学报, 2015, 30(24): 1-10. Tang Renyuan, Chen Ping, Tong Wenming, et al. Analytical calculation of eddy current loss accounting for eddy current reaction[J]. Transactions of China Electrotechnical Society, 2015, 30(24): 1-10.
[9] Zhu Z Q, Wu L J, Staton D, et al. An improved subdomain model for predicting magnetic field of surface-mounted permanent magnet machines accoun- ting for tooth-tips[J]. IEEE Transactions on Magnetics, 2011, 47(6): 1693-1704.
[10] Zhu Z Q, Wu L J, Staton D, et al. Subdomain model for predicting armature reaction field of surface- mounted permanent-magnet machines accounting for tooth-tips[J]. IEEE Transactions on Magnetics, 2011, 47(4): 812-822.
[11] Gaussens B, Hoang E, de la Barriere O, et al. Analytical armature reaction field prediction in field- excited flux-switching machines using an exactrelative permeance function[J]. IEEE Transactions on Magnetics, 2013, 49(1): 628-641.
[12] Zhu Z Q, Howe D, Bolte E, et al. Instantaneous magnetic field distribution in brushless permanent magnet DC motors, part I: open-circuit field[J]. IEEE Transactions on Magnetics, 1993, 29(1): 124-135．
[13] Zhu Z Q, Howe D. Instantaneous magnetic field distribution in brushless permanent magnet DC motors, part II: armature-reaction field[J]. IEEE Transactions on Magnetics, 1993, 29(1): 136-142.
[14] Zhu Z Q, Howe D. Instantaneous magnetic field distribution in brushless permanent magnet DC motors, part III: effect of stator slotting[J]. IEEE Transactions on Magnetics, 1993, 29(1): 143-151.
[15] 林福, 左曙光, 马琮淦, 等. 考虑开槽的分数槽集中绕组永磁同步电机电枢反应磁场解析计算[J]. 电工技术学报, 2014, 29(5): 29-35. Lin Fu, Zuo Shuguang, Ma Conggan, et al. Analytical calculation of armature reaction field including slotting effects in PMSM with concentrated fractional-slot winding[J]. Transactions of China Electrotechnical Society, 2014, 29(5): 29-35.
[16] Zarko D, Ban D, Lipo T A. Analytical calculation of magnetic field distribution in the slotted air gap of a surface permanent-magnet motor using complex relative air-gap permeance[J]. IEEE Transactions on Magnetics, 2006, 42(7): 1828-1837.
[17] 汤蕴璆. 电机内的电磁场[M]. 2版. 北京: 科学出版社, 1998.