Abstract In order to improve the calculation accuracy, an improved equivalent magnetic network (EMN) model is proposed for interior permanent magnet synchronous motors (IPMSM) considering the non-uniform saturation of the magnetic bridge. By analyzing the causes of uneven saturation phenomenon, the magnetic bridge is divided into four regions. According to the geometric structure and flux distribution of each region, the nonlinear permeance unit is used to consider the non-uniform saturation and the saturation shift of the magnetic bridge. Then, taking a 20kW IPMSM as an example, the proposed model is used to analyze the no-load and load magnetic fields and no-load back electromotive force (EMF), and the calculated results are compared with the traditional EMN model, finite element analysis (FEA) and experimental results. It is shown that the proposed model can improve the calculation accuracy by more than 4% compared with the traditional EMN model. Finally, the applicability of the proposed model is analyzed. The results show that when the ratio of the maximum to minimum magnetic density in the magnetic bridge is greater than about 1.3, it is necessary to consider the non-uniform saturation of the magnetic bridge by the proposed model.
Tong Wenming,Yao Yingcong,Li Shiqi等. Equivalent Magnetic Network Model for Interior Permanent Magnet Machines Considering Non-Uniform Saturation of Magnetic Bridges[J]. Transactions of China Electrotechnical Society, 2022, 37(12): 2961-2970.
[1] 唐任远. 现代永磁电机理论与设计[M]. 北京: 机械工业出版社, 2006. [2] 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.Com-mon basic scientific problems and development of leading-edge technology of high performance motor system[J]. Proceedings of The CSEE, 2016, 36(8): 2025-2035. [3] 樊英, 谭超. 内置式交替极永磁同步电机性能及机理研究[J]. 电工技术学报, 2018, 33(11): 2414-2422. Fan Ying, Tan Chao.Analysis of electromagnetic performance and principles in inserted consequent-pole permanent magnet synchronous machines[J]. Transactions of China Electrotechnical Society, 2018, 33(11): 2414-2422. [4] Wu Shuang, Shi Tingna, Guo Liyan, et al.Accurate analytical method for magnetic field calculation of interior PM motors[J]. IEEE Transactions on Energy Conversion, 2020, 36(1): 325-337. [5] Yang Shuo, Salim A, Sami H, et al.Introduction to mesh based generated lumped parameter models for electromagnetic problems[J]. CES Transactions on Electrical Machines and Systems, 2021, 5(2): 152-162. [6] 张淦, 花为, 程明, 等. 磁通切换型永磁电机非线性磁网络分析[J]. 电工技术学报, 2015, 30(2): 34-42. Zhang Gan, Hua Wei, Cheng Ming, et al.Analysis of nonlinear magnetic network models for flux-switching permanent magnet machines[J]. Transa-ctions of China Electrotechnical Society, 2015, 30(2): 34-42. [7] 郭凯凯, 郭有光. 磁通反向直线旋转永磁电机三维非线性等效磁路模型分析[J]. 电工技术学报, 2020, 35(20): 4278-4286. Guo Kaikai, Guo Youguang.3D Nonlinear equivalent magnetic circuit model analysis of a flux reversal linear rotary permanent magnet machine[J]. Transa-ctions of China Electrotechnical Society, 2020, 35(20): 4278-4286. [8] He Mingjie, Li Weiye, Peng Jun, et al.Multi-layer quasi three-dimensional equivalent model of axial-flux permanent magnet synchronous machine[J]. CES Transactions on Electrical Machines and Systems, 2021, 5(1): 3-12. [9] Cao Donghui, Zhao Wenxiang, Ji Jinghua, et al.A generalized equivalent magnetic network modeling method for vehicular dual-permanent-magnet vernier machines[J]. IEEE Transactions on Energy Conversion, 2019, 34(4): 1950-1962. [10] Cao Donghui, Zhao Wenxiang, Ji Jinghua, et al.Parametric equivalent magnetic network modeling approach for multiobjective optimization of PM machine[J]. IEEE Transactions on Industrial Elec-tronics, 2021, 68(8): 6619-6629. [11] 陈威, 吴桂初, 方攸同. 基于绕组分布函数理论和动态磁网络的两种内置式永磁牵引电机解析建模方法[J]. 电工技术学报, 2020, 35(增刊2): 377-386. Chen Wei, Wu Guichu, Fang Youtong.Two analytical models based on winding function theory and dynamic reluctance mesh for interior permanent magnet traction machines[J]. Transactions of China Electrotechnical Society, 2020, 35(S2): 377-386. [12] Zhu Li, Jiang Shuzhong, Zhu Ziqiang, et al.Analytical modeling of multi-segment and multilayer interior permanent magnet machines[C]//2014 17th International Conference on Electrical Machines and Systems (ICEMS), Hangzhou, 2014: 28-33. [13] Xu Gaohong, Liu Guohai, Jiang Shan, et al.Analysis of a hybrid rotor permanent magnet motor based on equivalent magnetic network[J]. IEEE Transactions on Magnetics, 2018, 54(4): 1-9. [14] Li Zhaokai, Huang Xiaoyan, Wu Lijian, et al.Open-circuit field prediction of interior permanent-magnet motor using hybrid field model accounting for saturation[J]. IEEE Transactions on Magnetics, 2019, 55(7): 1-7. [15] Liu Guohai, Wang Yong, Chen Qian, et al.Design and analysis of a new equivalent magnetic network model for IPM machines[J]. IEEE Transactions on Magnetics, 2020, 56(6): 1-12. [16] Tong Wenming, Wang Shuai, Dai Shanhong, et al.A quasi-three-dimensional magnetic equivalent circuit model of a double-sided axial flux permanent magnet machine considering local saturation[J]. IEEE Transa-ctions on Energy Conversion, 2018, 33(4): 2163-2173.
2022, Vol. 37 
