3D Nonlinear Equivalent Magnetic Circuit Model Analysis of a Flux Reversal Linear Rotary Permanent Magnet Machine
Guo Kaikai1, Guo Youguang2
1. School of Electrical and Information Engineering & School of Mechanical Engineering Anhui University of Science and Technology Huainan 232001 China; 2. School of Electrical and Data Engineering University of Technology Sydney Sydney 2007 Australia
Abstract：An improved 3D nonlinear equivalent magnetic circuit model (EMCM) of a flux reversal linear rotary permanent magnet machine (FR-LRPMM) was established by adding a variable reluctance unit to 3D magnetic circuit structure. The magnetic reluctance expressions of the stator and mover sections were derived by magnetic nodal method. The reluctance of the variable-reluctance unit was derived by 2D finite element method (FEM), which changed from 0 to infinity periodically with different locations of the mover when it was in linear or rotary motion. The 3D air-gap permeance expression was derived by segmentation method. The electromagnetic characteristics, such as no-load air gap flux density, were calculated and analyzed by an iterative method. Compared with the 3D FEM, the calculation time of this proposed model is reduced greatly. The proposed model could take in account the saturation of the stator core material, PM local flux leakage and pole-pole flux leakage. The analyzed results of the electromagnetic characteristics, including the back EMF, cogging torque and detent force, are consistent with those of 3D FEM and test measurement, which verifies the improved EMCM.
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. Transactions of China Electrotechnical Society, 2020, 35(20): 4278-4286.
[1] 谢颖, 黑亮声, 华邦杰, 等. 新型永磁游标电机的设计与研究[J]. 电机与控制学报, 2019, 23(2): 68-74. Xie Ying, Hei Liangsheng, Hua Bangjie, et al.Design and analysis of a new vernier permanent-magnet motor[J]. Electric Machines and Control, 2019, 23(2): 68-74. [2] 杨玉波, 刘国鹏, 陈鹏, 等. 基于子域法的游标混合电机电磁性能解析计算[J]. 电机与控制学报, 2019, 23(9): 9-17. Yang Yubo, Liu Guopeng, Chen Peng, et al.Electro- magnetic performance investigation of vernier hybrid machine[J]. Electric Machines and Control, 2019, 23(9): 9-17. [3] Liu Guohai, Ding Ling, Zhao Wenxiang, et al.Nonlinear equivalent magnetic network of a linear permanent magnet vernier machine with end effect consideration[J]. IEEE Transactions on Magnetics, 2018, 54(1): 8100209. [4] 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): 8202109. [5] 张继鹏, 陈鹏, 苏锦智, 等. 一种三维磁路永磁电机的集中参数磁路模型[J]. 电机与控制学报, 2015, 19(4): 21-27. Zhang Jipeng, Chen Peng, Su Jinzhi, et al.One lumped parameter magnetic circuit model for permanent magnet machines with three-dimensional flux paths[J]. Electric Machines and Control, 2015, 19(4): 21-27. [6] 徐衍亮, 吴巧变, 宫晓. 新型盘式横向磁通永磁无刷电机的变网络等效磁路模型[J]. 电工技术学报, 2016, 31(17): 147-153. Xu Yanliang, Wu Qiaobian, Gong Xiao.Network- varying equivalent magnetic circuit modeling of novel disk transverse-flux permanent magnet brush- less machine[J]. Transactions of China Electro- technical Society, 2016, 31(17): 147-153. [7] Du Jinhua, Xue Yuntian, Liu Quanwei, et al.Improved analytical model for inductance calcu- lations of a dual-rotor permanent magnet reluctance machine based on magnetic networks[J]. IEEE Transactions on Industrial Applications, 2018, 54(6): 5822-5832. [8] 黄垂兵, 马伟明, 许金, 等. 六相圆筒式直线感应电机磁路计算及饱和特性分析[J]. 电工技术学报, 2018, 33(5): 1032-1039. Huang Chuibing, Ma Weiming, Xu Jin, et al.Magnetic circuit calculation and saturation characteristics analysis of six phase cylindrical linear induction motor[J]. Transactions of China Electrotechnical Society, 2018, 33(5): 1032-1039. [9] 刘治鑫, 王东, 余中军, 等. 基于磁性槽楔修正模型的感应电动机气隙磁场的分布磁路法[J]. 电工技术学报, 2019, 34(15): 3112-3123. Liu Zhixin, Wang Dong, Yu Zhongjun, et al.Distributed magnetic circuit method for calculating air-gap magnetic field of induction motor based on modified model considering the effect of magnetic slot wedges[J]. Transactions of China Electro- technical Society, 2019, 34(15): 3112-3123. [10] Ojaghlu Pourya, Vahedi Abolfazl, Totoonchian Farid.Magnetic equivalent circuit modelling of ring winding axial flux machine[J]. IET Electric Power Appli- cations, 2018, 12(3): 293-300. [11] Hanic Ana, Zarko Damir, Kuhinek Dalibor, et al.On-load analysis of saturated surface permanent magnet machines using conformal mapping and magnetic equivalent circuits[J]. IEEE Transactions on Energy Conversion, 2018, 33(3): 915-924. [12] Yeo Han-Kyeol, Lim Dong-Kuk, Jung Hyun-Kyo.Magnetic equivalent circuit model considering the overhang structure of an interior permanent-magnet machine[J]. IEEE Transactions on Magnetics, 2019, 55(6): 8201404. [13] Lee Jae-Jun, Lee Ju, Kim Kwang-Soo.Design of a WFSM for an electric vehicle based on a nonlinear magnetic equivalent circuit[J]. IEEE Transactions on Applied Superconductivity, 2018, 28(3): 5206304. [14] Hemeida Ahmed, Lehikoinen Antti, Rasilo Paavo, et al.A simple and efficient quasi-3D magnetic equivalent circuit for surface axial flux permanent magnet synchronous machines[J]. IEEE Transactions on Industrial Electronics, 2019, 66(11): 8318-8333. [15] Bao Jing, Gysen B L J, Lomonova E A. Hybrid analytical modeling of saturated linear and rotary electrical machines: integration of fourier modeling and magnetic equivalent circuits[J]. IEEE Transa- ctions on Magnetics, 2018, 54(11): 8109905. [16] Song Jun-Young, Lee Jin-Hwan, Kim Dae-Woo, et al.Analysis and modeling of permanent magnet variable flux memory motors using magnetic equivalent circuit method[J]. IEEE Transactions on Magnetics, 2017, 53(11): 8208905. [17] Wei Yao, Zhao Mei, Yang Hongyong, et al.Electromagnetic characteristic of a novel linear flux switching machine with three-dimensional magnetic circuit[J]. IEEE Transactions on Applied Super- conductivity, 2019, 29(2): 0600505. [18] 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 Transactions on Energy Conversion, 2018, 33(4): 2163-2173. [19] Guo Kaikai, Fang Shuhua, Lin Heyun, et al.3-D analytical analysis of magnetic field of flux reversal linear-rotary permanent magnet actuator[J]. IEEE Transactions on Magnetics, 2017, 53(6): 8202205. [20] Guo Kaikai, Guo Youguang.Key parameter design and analysis of flux reversal linear rotary permanent magnet actuator[J]. IEEE Transactions on Applied Superconductivity, 2019, 29(2): 0600405. [21] Perho J.Reluctance network for analyzing induction machines[M]. Finland: Helsinki University of Tech- nology, 2002.
2020, Vol. 35 
