Abstract：When linear induction motor is used as traction motor of rail transit vehicles, the secondary induction plate will be missing in turnouts, turns and other sections, and the equivalent circuit with continuous secondary is no longer applicable. For this special working condition, a equivalent circuit based on the new air gap flux density distribution model and considering secondary discontinuity is proposed. Firstly, the analysis model of linear induction motor with discontinuous secondary is established. According to the coupling conditions of the primary and secondary, the discontinuous working condition is divided into three stages. Then, the linear approximation method is used to correct the primary leakage inductance, excitation inductance and other parameters which vary with the length of the coupling region. Combined with the new air gap flux density distribution model and the discontinuous condition of the secondary, considering the influence of longitudinal end effect, the excitation inductance on the excitation branch and the equivalent resistance representing the eddy current loss of end effect are modified. The equivalent circuit of three stages is derived to represent the dynamic process of the primary passing through the discontinuous region of the secondary induction plate. Finally, the dynamic curve of the thrust and efficiency of the motor are obtained according to the equivalent circuit, and the correctness of the proposed equivalent circuit is verified by comparing with the experimental results.
吕刚, 罗志昆. 次级断续时直线感应牵引电机的等效电路[J]. 电工技术学报, 2021, 36(6): 1103-1112.
Lü Gang, Luo Zhikun. An Equivalent Circuit of Linear Induction Traction Motor with Discontinuous Secondary. Transactions of China Electrotechnical Society, 2021, 36(6): 1103-1112.
[1] 卢琴芬, 孔浩, 石佳蒙, 等. 高速列车永磁同步牵引电机基于联合仿真模型的单脉冲控制研究[J]. 电工技术学报, 2015, 30(14): 61-66. Lu Qinfen, Kong Hao, Shi Jiameng, et al.Research on single-pulse control of traction PMSM in high speed train based on co-simulation model[J]. Transa- ctions of China Electrotechnical Society, 2015, 30(14): 61-66. [2] 朱进权, 葛琼璇, 孙鹏琨, 等. 基于自抗扰的高速磁浮列车牵引控制策略[J]. 电工技术学报, 2020, 35(5): 1065-1074. Zhu Jinquan, Ge Qiongxuan, Sun Pengkun, et al.Traction-system research of high-speed maglev based on active disturbance rejection control[J]. Transa- ctions of China Electrotechnical Society, 2020, 35(5): 1065-1074. [3] 孙晓, 史黎明, 张志华, 等. 并联双边直线感应电机次级定向控制[J]. 中国电机工程学报, 2019, 39(4): 1181-1189. Sun Xiao, Shi Liming, Zhang Zhihua, et al.The secondary field oriented control of parallel connected double sided linear induction motors[J]. Proceedings of the CSEE, 2019, 39(4): 1181-1189. [4] 周天豪, 陈磊, 祝长生, 等. 基于自适应变步长最小均方算法的磁悬浮高速电机不平衡补偿[J]. 电工技术学报, 2020, 35(9): 1900-1911. Zhou Tianhao, Chen Lei, Zhu Changsheng, et al.Unbalance compensation for magnetically levitated high-speed motors based on adaptive variable step size least mean square algorithm[J]. Transactions of China Electrotechnical Society, 2020, 35(9): 1900-1911. [5] 郑晓钦, 徐杰, 陈春涛, 等. 超高速磁浮涡流装置制动力的解析分析[J]. 电工技术学报, 2020, 35(9): 1891-1899. Zheng Xiaoqin, Xu Jie, Chen Chuntao, et al.Analytical calculation of braking force of super high speed maglev eddy current device[J]. Transactions of China Electrotechnical Society, 2020, 35(9): 1891-1899. [6] 张邦富, 程明, 王飒飒, 等. 基于改进型代理模型优化算法的磁通切换永磁直线电机优化设计[J]. 电工技术学报, 2020, 35(5): 1013-1021. Zhang Bangfu, Cheng Ming, Wang Sasa, et al.Optimal design of flux-switching permanent magnet linear machine based on improved surrogate-based optimization algorithm[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 1013-1021. [7] 李超, 鲁军勇, 马伟明, 等. 电磁发射用多级混合储能充电策略优化[J]. 电工技术学报, 2017, 32(13): 118-124. Li Chao, Lu Junyong, Ma Weiming, et al.Charging strategy amelioration of multilevel hybrid energy storagefor electromagnetic launch[J]. Transactions of China Electrotechnical Society, 2017, 32(13): 118-124. [8] 王金兵, 沈艳霞. 基于增量模型的永磁同步直线电机鲁棒预测电流控制[J]. 电力系统保护与控制, 2020, 48(8): 69-77. Wang Jinbing, Shen Yanxia.Robust predictive current control for a permanent magnet synchronous linear motor based on an incremental model[J]. Power System Protection and Control, 2020, 48(8): 69-77. [9] Hu Dong, Xu Wei, Dian Renjun, et al.Loss mini- mization control of linear induction motor drive for linear metros[J]. IEEE Transactions on Industrial Electronics, 2018, 65(9): 6870-6880. [10] 吕刚, 孙守光, 马云双. 城轨交通中直线感应牵引电机的效率最优控制[J]. 电机与控制学报, 2009, 13(4): 490-495. Lü Gang, Sun Shouguang, Ma Yunshuang.Efficiency optimal control of linear induction motor for urban rail transit[J]. Electric Machines and Control, 2009, 13(4): 490-495. [11] Pai R M, Boldea I, Nasar S A.A complete equivalent circuit of a linear induction motor with sheet secondary[J]. IEEE Transactions on Magnetics, 1988, 24(1): 639-654. [12] Gieras J F.Linear induction drives[M]. New York: Clarendon Press, 1994. [13] 龙遐令. 直线感应电动机等效电路的通用推导方法[J]. 电工技术学报, 1993, 8(4): 55-60. Long Xialing.A general method driving the equiva- lent circuit of linear induction motor[J]. Transactions of China Electrotechnical Society, 1993, 8(4): 55-60. [14] Xu Wei, Zhu Jianguo, Zhang Yongchang, et al.Equivalent circuits for single-sided linear induction motors[J]. IEEE Transactions on Industry Appli- cations, 2010, 46(6): 2410-2423. [15] Duncan J.Linear induction motor-equivalent-circuit model[J]. IEE Proceedings. Part B: Electric Power Applications, 1983, 130(1): 51-57. [16] Lü Gang, Zeng Dihui, Zhou Tong.An advanced equivalent circuit model for linear induction motors[J]. IEEE Transactions on Industrial Electronics, 2018, 65(9): 7495-7503. [17] 刘可安, 田红旗, 刘勇. 直线感应电机过无次级感应板区检测[J]. 浙江大学学报: 工学版, 2016, 50(6): 9-18. Liu Kean, Tian Hongqi, Liu Yong.Detection of passing area of no secondary reaction plate for linear induction motor[J]. Journal of Zhejiang Univerisity: Engineering Science, 2016, 50(6): 9-18. [18] 邸珺, 范瑜, 刘亚静. 基于等效次级的直线感应电机的电磁分析与参数辨识[J]. 电工技术学报, 2017, 32(11): 145-154. Di Jun, Fan Yu, Liu Yajing.Electromagnetic analysis and parameter estimation for the linear induction motor based on equivalent secondary[J]. Transactions of China Electrotechnical Society, 2017, 32(11): 145-154. [19] 姜杰, 王学斌, 殷家敏, 等. 基于感应电动机复数简化模型的参数辨识研究[J]. 电力系统保护与控制, 2014, 42(19): 87-92. Jiang Jie, Wang Xuebin, Yin Jiamin, et al.Research on identification of induction motor based on its simplified complex quantity models[J]. Power System Protection and Control, 2014, 42(19): 87-92. [20] 吕刚, 杨琛, 罗志昆. 考虑死区时间的直线感应电机参数静止自整定方法[J]. 北京交通大学学报, 2020, 44(1): 91-97, 105. Lü Gang, Yang Chen, Luo Zhikun.Parameter static self-tuning method of linear induction motor considering dead-time[J]. Journal of Beijing Jiaotong University, 2020, 44(1): 91-97, 105. [21] Freeman E M.Travelling wave in induction machines: input impedance and equivalents[J]. Proceedings of the Institution of Electrical Engineers, 1968, 115(12): 1772-1776.
2021, Vol. 36 
