Calculation of Electromagnetic Performance for Long Primary Double Sided Linear Induction Motors Considering Backward Traveling Wave
Zhang Qian1, Liu Huijuan1, Ma Jiefang1, Li Yuman2
1. School of Electrical Engineering Beijing Jiaotong University Beijing 100044 China; 2. Technology and Engineering Center for Space Utilization Chinese Academy of Sciences Beijing 100094 China
Abstract：One dimensional electromagnetic theory is applied to establish the analytical model of long primary double sided linear induction machine (DLIM) with secondary as moving reference frame. Firstly, the expression of the air-gap flux density in the real domain is derived by numerical method. The temporal-spatial distribution characteristics of the forward and backward traveling waves caused by the end effect and the influence of these two traveling waves on the normal component of the air-gap flux density are analyzed. And then the expressions of thrust force density and thrust which considering the forward and backward traveling waves are deduced, and the longitudinal distribution characteristics of thrust density on the secondary are investigated. The characteristics of each thrust component with velocity and the effect of end effect on the fundamental thrust are studied. Finally, the air-gap magnetic field distribution and thrust characteristics of the DLIM at different frequencies are calculated based on the FEM model, and the results are compared with those of the analytical method. The accuracy of the analytical method is verified, which contributes to the initial design and subsequent optimization of long primary DLIMs.
张千, 刘慧娟, 马杰芳, 李雨蔓. 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, Li Yuman. Calculation of Electromagnetic Performance for Long Primary Double Sided Linear Induction Motors Considering Backward Traveling Wave. Transactions of China Electrotechnical Society, 2020, 35(7): 1398-1409.
[1] 秦伟, 范瑜, 徐洪泽, 等. 高温超导运动磁场电磁Halbach初级结构直线感应磁悬浮电机[J]. 电工技术学报, 2018, 33(23): 5427-5433. Qin Wei, Fan Yu, Xu Hongze, et al.A linear induction maglev motor with HTS traveling magnetic electromagnetic Halbach array[J]. Transactions of China Electrotechnical Society, 2018, 33(23): 5427-5433. [2] Boldea I.Linear electric machine, drives, and MAGLEVs handbook[M]. London, UK: CRC Press, 2013. [3] Zou Janqiao, Xu Wei, Yu Xinghuo, et al.Multistep model predictive control with current and voltage constraints for linear induction machine based urban transportation[J]. IEEE Transactions on Vehicular Technology, 2017, 66(12): 10817-10829. [4] Abdollahi S E, Mirzayee M, Mirsalim M.Design and analysis of a double-sided linear induction motor for transportation[J]. IEEE Transactions on Magnetics, 2015, 51(7): 1-7. [5] Meeker D C, Newman M J.Indirect vector control of a redundant linear induction motor for aircraft launch[J]. Proceedings of the IEEE, 2009, 97(11): 1768-1776. [6] Xu Jin, Yang Xidang, Ma Weiming, et al.Nonlinear calculation methods of long primary double-sided linear induction motor[C]//IEEE International Conference on Electrical Machines & Systems, Hangzhou, 2014: 1774-1778. [7] 徐兴华, 马伟明, 崔小鹏, 等. 分段供电直线电机切换开关的关断故障在线诊断方法[J]. 电机与控制学报, 2018, 22(12): 1-10. Xu Xinghua, Ma Weiming, Cui Xiaopeng, et al.Online diagnosis method of turnoff faults in the switch of sectionalized power-supply linear induction motor[J]. Electric Machines & Control, 2018, 22(12): 1-10. [8] 腾腾, 赵治华, 马伟明. 基于数据驱动的分段供电直线电机故障诊断研究[J]. 电机与控制学报, 2019, 23(1): 1-8. Teng Teng, Zhao Zhihua, Ma Weiming.Data driven fault diagnosis for segment-powered linear induction motor[J]. Electric Machines & Control, 2019, 23(1): 1-8. [9] 宫金林, 王秀和. 基于多目标有效全局优化算法的直线感应电动机优化设计[J]. 电工技术学报, 2015, 30(24): 32-37. Gong Jinlin, Wang Xiuhe.Optimal design of a linear induction motor using multi-objective efficient global optimization[J]. Transactions of China Electrotechnical Society, 2015, 30(24): 32-37. [10] 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. [11] 张育兴, 马名中, 马伟明, 等. 双定子直线感应电机饱和特性分析[J]. 中国电机工程学报, 2012, 32(36): 102-108. Zhang Yuxing, Ma Mingzhong, Ma Weiming, et al.Analysis of saturation characteristics of double-stator linear induction motors[J]. Proceedings of the CSEE, 2012, 32(36): 102-108. [12] 孙兆龙, 刘德志, 马伟明, 等. 计及铁心饱和直线感应电动机模型及参数研究[J]. 中国电机工程学报, 2011, 31(33): 144-150. Sun Zhaolong, Liu Dezhi, Ma Weiming, et al.Modeling and parameters of linear induction motors with iron saturation[J]. Proceedings of the CSEE, 2011, 31(33): 144-150. [13] 许金, 马伟明, 鲁军勇, 等. 长定子直线感应电机饱和特性和非线性计算[J]. 电工技术学报, 2012, 27(9): 183-190. Xu Jin, Ma Weiming, Lu Junyong, et al.Saturation characteristics analysis and nonlinear calculation methods of long-stator linear induction motors[J]. Transactions of China Electrotechnical Society, 2012, 27(9): 183-190. [14] 饶金, 刘德志, 许金, 等. 长初级短次级十二相直线感应电动机数学模型分析[J]. 海军工程大学学报, 2014, 26(2): 10-14. Rao Jin, Liu Dezhi, Xu Jin, et al.Analysis of mathematical model for long-primary short- secondary twelve-phase linear induction motor[J]. Journal of Naval University of Engineering, 2014, 26(2): 10-14. [15] 许金, 马伟明, 鲁军勇, 等. 一种四定子双边直线感应电动机数学模型和工作特性[J]. 电工技术学报, 2011, 26(9): 5-12. Xu Jin, Ma Weiming, Lu Junyong.Mathematical Model and performance analysis of a four-stator double-sided linear induction motor[J]. Transactions of China Electrotechnical Society, 2011, 26(9): 5-12. [16] 许金, 聂世雄, 马伟明, 等. 无槽双边长定子直线感应电动机磁路计算方法[J]. 中国电机工程学报, 2016, 36(10): 2793-2799. Xu Jin, Nie Shixiong, Ma Weiming, et al.Magnetic circuit calculation of slot-less double-sided long primary linear induction motor[J]. Proceedings of the CSEE, 2016, 36(10): 2793-2799. [17] Yang Tong, Zhou Libing, Li Langru.Influence of design parameters on end effect in long primary double-sided linear induction motor[J]. IEEE Transactions on Plasma Science, 2011, 39(1): 192-197. [18] Yang Tong, Zhou Libin, Li Langru.Performance calculation for double-sided linear induction motor with short secondary[C]//IEEE International Conference on Electrical Machines & Systems, Wuhan, 2008: 3478-3483. [19] Lu Junyong, Ma Weiming.Research on end effect of linear induction machine for high-speed industrial transportation[J]. IEEE Transactions on Plasma Science, 2011, 39(1): 116-120. [20] 杨通, 周理兵. 长初级双边直线感应电机纵向动态端部效应第一部分: 气隙磁场[J]. 电机与控制学报, 2014, 18(4): 52-59. Yang Tong, Zhou Libing.Longitudinal dynamic end effect in long primary double-sided linear induction motor part 1: air gap magnetic field[J]. Electric Machines & Control, 2014, 18(4): 52-59. [21] 杨通, 周理兵. 长初级双边直线感应电机纵向动态端部效应第二部分: 性能计算[J]. 电机与控制学报, 2014, 18(8): 67-74. Yang Tong, Zhou Libing.Longitudinal dynamic end effect in long primary double-sided linear induction motor part 2: performance calculation[J]. Electric Machines & Control, 2014, 18(8): 67-74. [22] 聂世雄, 付立军, 许金, 等. 分段供电直线感应电机动子不对称模型及参数计算[J]. 电机与控制学报, 2017, 21(2): 10-17. Nie Shixiong, Fu Lijun, Xu Jin, et al.Asymmetrical model and parameter calculation of segment-powered linear inductive motor mover[J]. Electric Machines & Control, 2017, 21(2): 10-17. [23] 聂世雄, 马伟明, 李卫超, 等. 对称电流激励长初级直线感应电机推力波动研究[J]. 中国电机工程学报, 2015, 35(21): 5585-5591. Nie Shixiong, Ma Weiming, Li Weichao, et al.Research on thrust ripple of long primary linear induction motors with symmetrical current excited[J]. Proceedings of the CSEE, 2015, 35(21): 5585-5591. [24] 龙遐令. 直线感应电机的理论和电磁设计方法[M]. 北京: 科学出版社, 2006. [25] 上海工业大学, 上海电机厂. 直线异步电动机[M]. 北京: 机械工业出版社, 1979. [26] Gieras J F.Linear induction drives[M]. Oxford, UK: Clarendon Press, 1994.
2020, Vol. 35 
