Equivalent Circuit for Nested-Loop Secondary Linear Doubly-Fed Machine Considering End Effect
Ge Jian1, Xu Wei1, Liu Yi1, Zhang Yaping1, Bao Zhen1, Li Dayi1, Li Weiye2, Lin Guobin3
1. State Key Laboratory of Advanced Electromagnetic Engineering and Technology School of Electrical and Electronic Engineering Huazhong University of Science and Technology Wuhan 430074 China; 2. Xiangyang CRRC Motor Technology Co. Ltd Xiangyang 441047 China; 3. Maglev Transportation Engineering R&D Center Tongji University Shanghai 201804 China
Abstract：Research on the nested-loop secondary linear doubly-fed machine (NLS-LDFM) is quite scarce. The feature of its end effect is not clear along with no appropriate equivalent circuit, which restricts the further development of this kind of machine. In view of the problem, the static and dynamic end effects of NLS-LDFM are studied separately in this paper. And the equivalent circuit considering the end effect is built. Firstly, the mechanism of direct coupling by static end effect is clarified based on the winding theory for short primary linear machine. The characteristics of induced electromotive force generated by direct coupling are analyzed and the equivalent impedance is deduced. Secondly, the transition process of nested loop during steady-state operation of NLS-LDFM is analyzed. And the dynamic end effect correction coefficient is calculated. Thirdly, the equivalent circuit of NLS-LDFM is built based on the analysis of end effect and the traditional equivalent circuit of brushless doubly-fed machine. And the expression of thrust is derived. Finally, the rationality of the analysis results is indirectly verified by the finite element simulation and experiment for static and dynamic end effect respectively.
葛健, 徐伟, 刘毅, 张娅平, 包振, 李达义, 李伟业, 林国斌. 考虑端部效应的同心笼次级直线双馈电机等效电路[J]. 电工技术学报, 2022, 37(19): 4957-4968.
Ge Jian, Xu Wei, Liu Yi, Zhang Yaping, Bao Zhen, Li Dayi, Li Weiye, Lin Guobin. Equivalent Circuit for Nested-Loop Secondary Linear Doubly-Fed Machine Considering End Effect. Transactions of China Electrotechnical Society, 2022, 37(19): 4957-4968.
[1] Becetti B.Design and optimization of linear doubly-fed induction machine for wireless charging operation of novel vactrain system[D]. Delft: Delft University of Technology, 2021. [2] Saifkhani F, Wallace A K.A linear brushless doubly-fed machine drive for traction applications[C]//1993 Fifth European Conference on Power Electronics and Applications, Brighton, UK, 1993, 5: 344-348. [3] Seifkhani F.Investigation, analysis and design of the linear brushless doubly-fed machine[D]. Corvallis: Oregon State University, 1991. [4] Yang Bo, Grotstollen H.Application, calculation and analysis of doubly fed long stator linear motor for NBP test track[J]. Automatika, 2003, 44(3-4): 123-127. [5] Yang Bo, Henke M, Grotstollen H.Pitch analysis and control design for the linear motor of a railway carriage[C]//Conference Record of the 2001 IEEE Industry Applications Conference, 36th IAS Annual Meeting (Cat. No.01CH37248), Chicago, IL, USA, 2001: 2360-2365. [6] Pottharst A, Henke M, Grotstollen H.Power supply of the longstator linear motor of the NBP-test track[J]. Automatika, 2003, 44(1-2): 55-58. [7] 曾志凌. 城轨列车双馈直线驱动电机电磁计算与设计[D]. 成都: 西南交通大学, 2015. [8] Kang Jinsong, Mu Siyuan, Ding Hao.Long stator linear doubly-fed motor for high-speed maglev integrated suspension, propulsion and contactless power supply[C]//2021 13th International Symposium on Linear Drives for Industry Applications (LDIA), Wuhan, China, 2021: 1-5. [9] Chen Manying, Wu Lijian, Zhang Liu, et al.A novel doubly-fed flux reversal linear machine with armature windings wound on both stator and mover teeth[J]. IEEE Access, 2020, 8: 35563-35571. [10] Cao Ruiwu, Huang Wenxin.A double fed three-phase flux-switching linear motor with complementary magnet circuit for urban rail transit[C]//2014 IEEE Conference and Expo Transportation Electrification Asia-Pacific (ITEC Asia-Pacific), Beijing, China, 2014: 1-5. [11] 龙遐令. 直线感应电动机的理论和电磁设计方法[M]. 北京: 科学出版社, 2006. [12] 徐伟, 李耀华, 孙广生, 等. 基于绕组函数法的大功率单边直线感应电机牵引特性研究[J]. 中国电机工程学报, 2008, 28(33): 54-60. Xu Wei, Li Yaohua, Sun Guangsheng, et al.Tractive performance research of high power single linear induction motor based on winding function method[J]. Proceedings of the CSEE, 2008, 28(33): 54-60. [13] Xu Wei, Islam M R, Pucci M.Advanced linear machines and drive systems[M]. Singapore: Springer Singapore, 2019. [14] 张千, 刘慧娟, 马杰芳, 等. 考虑后退行波的长初级双边直线感应电机电磁性能计算[J]. 电工技术学报, 2020, 35(7): 1398-1409. Zhang Qian, Liu Huijuan, Ma Jiefang, et al.Calculation of electromagnetic performance for long primary double sided linear induction motors considering backward traveling wave[J]. Transactions of China Electrotechnical Society, 2020, 35(7): 1398-1409. [15] 程明, 文宏辉, 曾煜, 等. 电机气隙磁场调制行为及其转矩分析[J]. 电工技术学报, 2020, 35(5): 921-930. Cheng Ming, Wen Honghui, Zeng Yu, et al.Analysis of airgap field modulation behavior and torque component in electric machines[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 921-930. [16] Ge Jian, Xu Wei, Liu Yi, et al.Investigation on winding theory for short primary linear machines[J]. IEEE Transactions on Vehicular Technology, 2021, 70(8): 7400-7412. [17] Duncan J.Linear induction motor-equivalent-circuit model[J]. IEE Proceedings B (Electric Power Applications), 1983, 130(1): 51-57. [18] 徐伟, 李耀华, 孙广生, 等. 短初级单边直线感应电机新型等效电路[J]. 中国电机工程学报, 2009, 29(9): 80-86. Xu Wei, Li Yaohua, Sun Guangsheng, et al.New equivalent circuits of short primary single-sided linear induction motor[J]. Proceedings of the CSEE, 2009, 29(9): 80-86. [19] Roberts P C, McMahon R A, Tavner P J, et al. Equivalent circuit for the brushless doubly fed machine (BDFM) including parameter estimation and experimental verification[J]. IEE Proceedings-Electric Power Applications, 2005, 152(4): 933-942. [20] McMahon R A, Roberts P C, Wang X, et al. Performance of BDFM as generator and motor[J]. IEE Proceedings-Electric Power Applications, 2006, 153(2): 289-299.
2022, Vol. 37 
