|
|
Analytical Solution of Magnetic Field in Solid Rotor Induction Machine Based on Subdomain Model |
Zhang Shoushou1, Guo Siyuan2 |
1. Bangor College Central South University of Forestry and Technology Changsha 410018 China; 2. State Grid Hunan Electric Power Company Limited Research Institute Changsha 410007 China |
|
|
Abstract As a simple and efficient method of magnetic field analysis, subdomain techniques have been widely used in the analytical calculation of constant magnetic field analysis for electrical machines. Taking the solid rotor induction machine as an example, the subdomain technique is extended to the field of magnetic quasi-static field analysis in this paper. The solver region of the solid rotor induction machine is divided into the stator slot domain, the air-gap domain and the solid rotor domain in the two-dimensional polar coordinate plane, thereby establishing an accurate subdomain model of the solid rotor induction machine considering the stator slotting effect in the complex frequency domain. The analytical model focuses on solving the partial differential equations of the solid rotor subdomain. According to the different operating modes, the analytical expressions for synchronous operation and asynchronous operation are given. Then, the operational inductance of the solid rotor induction machine is calculated by the flux linkage method. Finally, the accuracy of the analytical model is verified by two-dimensional harmonic finite element analysis.
|
Received: 11 April 2021
|
|
|
|
|
[1] 王培欣, 司纪凯, 封海潮, 等. 实心转子感应电机研究与发展概况(上)[J]. 微特电机, 2017, 45(8): 77-82. Wang Peixin, Si Jikai, Feng Haichao, et al.Research and development profile of solid rotor induction motor (part I)[J]. Micro Motor, 2017, 45(8): 77-82. [2] 王培欣, 司纪凯, 封海潮, 等. 实心转子感应电机研究与发展概况(下)[J]. 微特电机, 2017, 45(9): 82-86. Wang Peixin, Si Jikai, Feng Haichao, et al.Research and development profile of solid rotor induction motor (part II)[J]. Micro Motor, 2017, 45(9): 82-86. [3] 唐孝镐. 实心转子异步电机及其应用[M]. 北京: 机械工业出版社, 1991. [4] Miroslav M, Yves P.An analytical solution for the torque and power of a solid-rotor induction motor[C]//IEEE International Electric Machines and Drives Conference (IEMDC), Niagara Falls, Canada, 2011: 1053-1057. [5] Guo Siyuan, Zhou Libing, Yang Tong.An analytical method for determining circuit parameter of a solid rotor induction motor[C]//IEEE International Confer-ence of Economy and Management Sciences, Sapporo, Japan, 2012: 1-6. [6] 郭立炜. 实心转子感应电机的运算电抗及激磁电抗[J]. 河北机电学院学报, 1991, 8(4): 18-24. Guo Liwei.Operational impedance and magnetizing impedance of induction machines with solid rotor[J]. Journal of Hebei Institute of Mechano-Electric Engineering, 1991, 8(4): 18-24. [7] Gieras J F.Analysis of multilayer rotor induction motor with higher space harmonics taken into account[J]. IEE Proceedings-B, 1991, 138(2): 59-67. [8] 童钟良. 双层实心转子感应电机的分层阻抗理论[J]. 电工技术学报, 1993, 8(2): 18-20. Tong Zhongliang.The sublayer impedance theory for analysing double-layer solid rotor induction machines[J]. Transactions of China Electrotechnical Society, 1993, 8(3): 18-20. [9] 童钟良. 实心转子感应电机的两层传输线比拟分析[J]. 电工技术学报, 1995, 10(1): 28-33. Tong Zhongliang.Two-region analysis based on a transmission-line analogy in solid rotor induction machines[J]. Transactions of China Electrotechnical Society, 1995, 10(1): 28-33. [10] Gieras J F, Saari J.Performance calculation for a high-speed solid-rotor induction motor[J]. IEEE Transactions on Industrial Electronics, 2012, 59(6): 2689-2700. [11] Gysen B, Meessen K, Paulides J, et al.General formulation of the electromagnetic field distribution in machines and devices using Fourier analysis[J]. IEEE Transactions on Magnetics, 2010, 46(1): 39-52. [12] 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. [13] 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. [14] 李节宝, 井立兵, 周晓燕, 等. 表贴式永磁无刷电机直接解析计算方法[J]. 电工技术学报, 2012, 27(11): 83-88. Li Jiebao, Jing Libing, Zhou Xiaoyan, et al.Exact analytical method for surface-mounted permanent-magnet brushless motors[J]. Transactions of China Electrotechnical Society, 2012, 27(11): 83-88. [15] 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 magnetic slot wedge[J]. Transactions of China Elec-trotechnical Society, 2019, 34(1): 11-22. [16] 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]. Transa-ctions of China Electrotechnical Society, 2020, 35(11): 2406-2414. [17] 高锋阳, 齐晓东, 李晓峰, 等. 部分分段Halbach永磁同步电机优化设计[J]. 电工技术学报, 2021, 36(4): 787-800. Gao Fengyang, Qi Xiaodong, Li Xiaofeng, et al.Optimization design of partially-segmented Halbach permanent magnet synchronous motor[J]. Transa-ctions of China Electrotechnical Society, 2021, 36(4): 787-800. [18] 井立兵, 章跃进. 同心式磁力齿轮磁场及转矩全局解析法分析[J]. 中国电机工程学报, 2012, 32(30): 139-146. Jing Libing, Zhang Yuejin.An exact analytical method for magnetic field computation and elec-tromagnetic torque in a concentric magnetic gear[J]. Proceedings of the CSEE, 2012, 32(30): 139-146. [19] 井立兵, 龚俊, 章跃进, 等. Halbach阵列磁力变速永磁无刷电机解析计算与设计[J]. 电工技术学报, 2020, 35(5): 954-962. Jing Libing, Gong Jun, Zhang Yuejin, et al.Analytical calculation and design of magnetic variable speed permanent magnet brushless machine with Halbach arrays[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 954-962. [20] Rahideh A, Korakianitis T.Analytical magnetic field calculation of slotted brushless permanent-magnet machines with surface inset magnets[J]. IEEE Transactions on Magnetics, 2012, 48(10): 2633-2649. [21] Zhu Minchen, Wu Lijian, Fang Youtong, et al.Subdomain model for predicting armature reaction field of dual-stator consequent-pole PM machines accounting for tooth-tips[J]. China Electrotechnical Society Transactions on Electrical Machines and Systems, 2019, 3(2): 143-150. [22] 王明杰, 徐伟, 杨存祥, 等. 基于精确子域模型的永磁直线同步电机空载磁场解析计算[J]. 电工技术学报, 2020, 35(5): 942-953. Wang Mingjie, Xu Wei, Yang Cunxiang, et al.Analytical calculation of no-load magnetic field in permanent magnet linear synchronous motors based on an accurate subdomain model[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 942-953. [23] Dubas F, Rahideh A.Two-dimensional analytical permanent magnet eddy-current loss calculations in slotless PMSM equipped with surface-inset magnets[J]. IEEE Transactions on Magnetics, 2014, 50(3): 6300320. [24] Hannon B, Sergeant P, Dupré L.2-D analytical subdomain model of a slotted PMSM with shielding cylinder[J]. IEEE Transactions on Magnetics, 2014, 50(7): 8101410. [25] Boughrara K, Dubas F, Ibtiouen R.2-D analytical prediction of eddy currents, circuit model parameters, and steady-state performances in solid rotor induction motors[J]. IEEE Transactions on Magnetics, 2014, 50(12): 7028214. [26] Adkins B, Harley R G.The general theory of alternating current machines: application to practical problems[M]. London: Chapman & Hall, 1975. |
|
|
|