|
|
|
| Modeling of the Vector Magnetic Network for Flux-Switching Permanent Magnet In-Wheel Motor Based on the Magductance Principle |
| Xu Zhiyuan, Cheng Ming, Zhang Gan |
| School of Electrical Engineering Southeast University Nanjing 210096 China |
|
|
|
Abstract In recent decades, the flux-switching permanent magnet in-wheel (FSPM-IW) motors have earned considerable attention, due to their inherent strengths in large torque density, robust rotor structure, and outstanding heat dissipation conditions. During its design and optimization stage, the large-scale electromagnetic performance calculation mainly relies on the finite element analysis (FEA), which requires unquantifiable time and memory consumption. Under such circumstances, the analytical methods, represented by magnetic network methods, are regarded as practical tools to balance evaluation accuracy and calculation time. However, the existing magnetic network methods only involve reluctance components, which cannot account for the eddy current effect. Therefore, this paper proposes the vector magnetic network (VMN) model based on the magductance principle. Firstly, the topology and structural features of the FSPM-IW motor are introduced. Secondly, the calculation methods of reluctance and magductance parameters are deduced for iron cores based on the vector magnetic circuit theory. Accordingly, the “reluctance-magductance” branches can be formed for the VMN model considering the eddy current effect. The VMN models are established for the stator and the rotor, and the air gap reluctance branches then connect the two parts. The VMN model is built for the FSPM-IW motor. Through the nodal magneto-motive force method, the electromagnetic performance can be acquired by solving the equivalent equations. To improve the calculation accuracy, the nonlinear iteration process is employed in both the calculation of the branch’s reluctance and magductance components. Finally, the FSPM-IW motor is investigated, and the electromagnetic performance is compared using the proposed model, the traditional reluctance-based magnetic network model, and the FEA method. The VMN model’s calculated air gap flux density and phase flux linkage waveforms are in superior consistency with the FEA result. The calculated back electro-motive force (back-EMF) waveform, average torque, and the open circuit loss align with the measured results from the prototype experiment. For the back-EMF, the fundamental amplitudes obtained by the VMN model, FEA method, and prototype experiment are 2.86 V, 2.83 V, and 2.72 V, respectively. Moreover, the average output torques are 12.87 N·m, 12.66 N·m, and 11.92 N·m for the three methods at the rated condition. The following conclusions can be drawn. (1) Compared with the FEA method, the proposed VMN model significantly reduces the computational time-consumption and achieves satisfactory accuracy. (2) Compared with the traditional reluctance-based magnetic network model, the proposed VMN model exhibits higher precision in performance evaluation due to the introduction of magductance components. (3) The proposed VMN model provides a practical and convenient approach to the electromagnetic performance calculation. The result is close to the prototype experiment.
|
|
Received: 05 November 2024
|
|
|
|
|
|
[1] 关涛, 刘大猛, 何永勇. 永磁轮毂电机技术发展综述[J]. 电工技术学报, 2024, 39(2): 378-396. Guan Tao, Liu Dameng, He Yongyong.Review on development of permanent magnet in-wheel motors[J]. Transactions of China Electrotechnical Society, 2024, 39(2): 378-396. [2] Nasiri-Zarandi R, Karami-Shahnani A, Toulabi M S, et al.Design and experimental performance assess- ment of an outer rotor PM-assisted SynRM for the electric bike propulsion[J]. IEEE Transactions on Transportation Electrification, 2023, 9(1): 727-736. [3] Amirkhani M, Ali Ghanbari M, Kondelaji M A J, et al. Performance analysis of outer rotor multi-tooth biased flux permanent magnet motors[J]. IEEE Transactions on Energy Conversion, 2023, 38(3): 1738-1752. [4] 樊英, 陈秋蒴, 陈俊磊, 等. 基于无人配送车辆运行工况的交替极游标轮毂电机优化设计[J]. 电工技术学报, 2023, 38(19): 5141-5151. Fan Ying, Chen Qiushuo, Chen Junlei, et al.Opti- mization design of consequent pole vernier wheel motor based on operating conditions of unmanned delivery vehicles[J]. Transactions of China Elec- trotechnical Society, 2023, 38(19): 5141-5151. [5] Chen Hao, Liu Xiangdong, Demerdash N A O, et al. Comparison and design optimization of a five-phase flux-switching PM machine for in-wheel traction applications[J]. IEEE Transactions on Energy Con- version, 2019, 34(4): 1805-1817. [6] Zhao Wenxiang, Pan Xiaoyun, Ji Jinghua, et al.Analysis of PM eddy current loss in four-phase fault- tolerant flux-switching permanent-magnet machines by air-gap magnetic field modulation theory[J]. IEEE Transactions on Industrial Electronics, 2020, 67(7): 5369-5378. [7] 李鑫宇, 孙天夫, 黄世军, 等. 永磁同步电机温度建模与热管理方法综述[J]. 电气工程学报, 2023, 18(4): 20-34. Li Xinyu, Sun Tianfu, Huang Shijun, et al.Review and perspectives on thermal management methods for permanent magnet synchronous motors[J]. Journal of Electrical Engineering, 2023, 18(4): 20-34. [8] Du Yi, Mao Yi, Xiao Feng, et al.Partitioned stator hybrid excited machine with DC-biased sinusoidal current[J]. IEEE Transactions on Industrial Electro- nics, 2022, 69(1): 236-248. [9] Hua Wei, Su Peng, Tong Minghao, et al.Investigation of a five-phase E-core hybrid-excitation flux- switching machine for EV and HEV applications[J]. IEEE Transactions on Industry Applications, 2017, 53(1): 124-133. [10] 李博, 朱建国, 刘成成, 等. 集成压缩机用双定子磁通切换电机的设计及优化[J]. 电机与控制学报, 2023, 27(1): 101-109. Li Bo, Zhu Jianguo, Liu Chengcheng, et al.Design and optimization of dual-stator FSPMM for integrated compressor[J]. Electric Machines and Control, 2023, 27(1): 101-109. [11] Wang Shuyou, Chen Fei, Tian Zuzhi, et al.An enhanced magnetic equivalent circuit model for a magnetorheological clutch including nonlinear per- meability, flux fringing, and leakage effects[J]. IEEE Transactions on Transportation Electrification, 2023, 9(1): 488-500. [12] 杜爱赫, 解伟, 施振川, 等. 电动自行车用磁通切换电机研究[J]. 电机与控制应用, 2021, 48(8): 50-54. Du Aihe, Xie Wei, Shi Zhenchuan, et al.Research on flux-switching machine for electric bicycle[J]. Elec- tric Machines & Control Application, 2021, 48(8): 50-54. [13] 李世奇, 佟文明, 贾建国, 等. 考虑磁桥非线性的内置式永磁同步电机空载电磁性能通用解析模型[J]. 电工技术学报, 2023, 38(6): 1421-1432. Li Shiqi, Tong Wenming, Jia Jianguo, et al.General analytical model of No-load electromagnetic per- formance of interior permanent magnet synchronous motors considering nonlinearity of magnetic bridges[J]. Transactions of China Electrotechnical Society, 2023, 38(6): 1421-1432. [14] 胡岩, 王功臣. 航空用高速永磁发电机电磁设计研究[J]. 电气工程学报, 2015, 10(9): 22-29. Hu Yan, Wang Gongchen.Electromagnetic design and research of high speed permanent magnet gen- erator for aviation[J]. Journal of Electrical Engin- eering, 2015, 10(9): 22-29. [15] Cheng Ming, Chau K T, Chan C C, et al.Nonlinear varying-network magnetic circuit analysis for doubly salient permanent-magnet motors[J]. IEEE Transa- ctions on Magnetics, 2000, 36(1): 339-348. [16] 徐伟, 张祎舒, 曹辰, 等. 定子不对称极混合励磁双凸极电机改进型非线性变磁网络模型构建方法研究[J]. 中国电机工程学报, 2023, 43(1): 304-318. Xu Wei, Zhang Yishu, Cao Chen, et al.Improved construction method of nonlinear varying equivalent magnetic network model for hybrid excitation asymmetric stator pole double salient machine[J]. Proceedings of the CSEE, 2023, 43(1): 304-318. [17] 夏云彦, 周洲, 邵远亮, 等. 基于动态磁网络法大型感应电机阻抗参数及起动特性计算[J]. 电工技术学报, 2024, 39(14): 4341-4352. Xia Yunyan, Zhou Zhou, Shao Yuanliang, et al.Calculation of impedance parameters and starting characteristics of large induction motor based on dynamic magnetic network[J]. Transactions of China Electrotechnical Society, 2024, 39(14): 4341-4352. [18] Cao Donghui, Zhao Wenxiang, Liu Tong, et al.Magneto-electric coupling network model for redu- ction of PM eddy current loss in flux-switching permanent magnet machine[J]. IEEE Transactions on Industrial Electronics, 2022, 69(2): 1189-1199. [19] Tangudu J K, Jahns T M, EL-Refaie A.Core loss prediction using magnetic circuit model for fractional- slot concentrated-winding interior permanent magnet machines[C]//2010 IEEE Energy Conversion Con- gress and Exposition, Atlanta, GA, USA, 2010: 1004-1011. [20] Cheng Ming, Qin Wei, Zhu Xinkai, et al.Magnetic- inductance: concept, definition, and applications[J]. IEEE Transactions on Power Electronics, 2022, 37(10): 12406-12414. [21] 秦伟, 程明, 王政, 等. 矢量磁路及应用初探[J]. 中国电机工程学报, 2024, 44(18): 7381-7395. Qin Wei, Cheng Ming, Wang Zheng, et al.Vector magnetic circuit and its preliminary applications[J]. Proceedings of the CSEE, 2024, 44(18): 7381-7395. [22] 程明, 马钲洲, 王政, 等. 基于磁感的变压器和感应电机等效矢量磁路分析[J]. 电工技术学报, 2024, 39(15): 4697-4707. Cheng Ming, Ma Zhengzhou, Wang Zheng, et al.Equivalent vector magnetic circuit analysis of trans- former and induction motor based on the magdu- ctance[J]. Transactions of China Electrotechnical Society, 2024, 39(15): 4697-4707. [23] Qin Wei, Cheng Ming, Wang Zheng, et al.Vector magnetic circuit analysis of silicon steel sheet parameters under different frequencies for electrical machines[J]. IET Electric Power Applications, 2024, 18(9): 981-994. [24] Li Chengbo, Cheng Ming, Qin Wei, et al.Analytical loss model for magnetic cores based on vector magnetic circuit theory[J]. IEEE Open Journal of Power Electronics, 2024, 5: 1659-1670. |
|
|
|