基于二维四区域法的单边复合次级直线感应电机力特性建模研究
|
摘要
针对地铁用单边复合次级直线感应电机力特性解析方法中存在的模型构建困难、分析繁琐、计算量大、工程实用性差等问题,提出一种建模简单且计算量小的单边复合次级直线感应电机简化二维四区域电磁模型。当电机初级绕组通入三相对称交流电产生行波磁场,与地面非磁性次级导体中感应的涡流磁场相互作用,可同时产生推力和法向力。以麦克斯韦电磁方程为基础,对其磁场进行分析,得到该类电机推力、法向力的解析表达式。通过有限元仿真、实验平台测试结果与解析结果进行比较,验证了解析表达式的正确性。实现力特性的快速准确计算,对单边直线感应电机设计有着重要意义。
There are some problems with regard to the force characteristic analysis model of the single-sided compound secondary linear induction motor used in subway,such as difficult to construct, complicated analysis process and large amount of calculation, which are not suitable for engineering calculation. A simplified two-dimensional four-region electromagnetic model of a compound secondary linear induction motor was presented. When three phase AC symmetric alternating current input the primary winding of the motor, traveling wave magnetic field was generated. Eddy current magnetic field was induced in the secondary nonmagnetic conductor on the ground, and the thrust force and normal force were produced at the same time. Based on the Maxwell's electromagnetic equations, the magnetic field was analyzed and the analytical expressions of thrust and normal force were obtained. By comparing the results of finite element simulation and experiment platform, the correctness of the analytical expression was verified, and the fast and accurate calculation of force characteristics was realized, which is of great significance to the design of single-sided linear induction motor.
There are some problems with regard to the force characteristic analysis model of the single-sided compound secondary linear induction motor used in subway,such as difficult to construct, complicated analysis process and large amount of calculation, which are not suitable for engineering calculation. A simplified two-dimensional four-region electromagnetic model of a compound secondary linear induction motor was presented. When three phase AC symmetric alternating current input the primary winding of the motor, traveling wave magnetic field was generated. Eddy current magnetic field was induced in the secondary nonmagnetic conductor on the ground, and the thrust force and normal force were produced at the same time. Based on the Maxwell's electromagnetic equations, the magnetic field was analyzed and the analytical expressions of thrust and normal force were obtained. By comparing the results of finite element simulation and experiment platform, the correctness of the analytical expression was verified, and the fast and accurate calculation of force characteristics was realized, which is of great significance to the design of single-sided linear induction motor.
引文
[1]王惠民,张颖,葛兴来.基于全阶状态观测器的直线牵引电机励磁电感在线参数辨识[J].中国电机工程学报,2017,37(20):6101-6108.Wang Huimin,Zhang Ying,Ge Xinglai.On-line parameter identification of linear induction motor magnetizing inductance based on full-order observer[J].Proceedings of the CSEE,2017,37(20):6101-6108(in Chinese).
[2]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(in Chinese).
[3]Zare-Bazghaleh A,Fallah-Chulabi E,Shahalami S H.Force calculation with complete modeling of end-effect in single-sided linear induction motors[C]//Proceedings of2016 Power Electronics and Drive Systems Technologies Conference.Tehran,Iran:IEEE,2016:19-23.
[4]Zare-Bazghaleh A,Naghashan M R,Khodadoost A.Derivation of equivalent circuit parameters for single-sided linear induction motors[J].IEEE Transactions on Plasma Science,2015,43(10):3637-3644.
[5]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(in Chinese).
[6]李硕,范瑜,吕刚,等.非磁性次级直线感应电机力特性及涡流损耗分析[J].电机与控制学报,2014,18(4):1-5.Li Shuo,Fan Yu,LüGang,et al.Force characteristic and eddy loss analysis of a nonmagnetic secondary linear induction motor[J].Electric Machines and Control,2014,18(4):1-5(in Chinese).
[7]Gieras J,Dawson G,Eastham A.Performance calculation for single-sided linear induction motors with a double-layer reaction rail under constant current excitation[J].IEE Proceedings B-Electric Power Application,1985,132(4):185-194.
[8]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(in Chinese).
[9]黄练伟,胡基士.直线感应电机推力及法向力的计算[J].机车电传动,2005(1):36-39.Huang Lianwei,Hu Jishi.Calculation of thrust and normal force in linear induction motor[J].Electric Drive for Locomotives,2005(1):36-39(in Chinese).
[10]Shiri A.Electromagnetic force analysis in linear induction motors,considering end effect[C]//Proceedings of 2016Power Electronics and Drive Systems Technologies Conference.Tehran,Iran:IEEE,2016.
[11]Boldea I,Babescu M.Multilayer approach to the analysis of single-sided linear induction motors[J].Proceedings of the Institution of Electrical Engineers,1978,125(4):283-287.
[12]董顶峰,黄文新,卜飞飞,等.绕组周向分布圆筒型初级永磁直线电机结构及静态特性分析[J].中国电机工程学报,2017,37(21):6181-6189.Dong Dingfeng,Huang Wenxin,Bu Feifei,et al.Structure and static characteristic analysis of tubular primary permanent magnet linear machine with circumferential distribution of winding[J].Proceedings of the CSEE,2017,37(21):6181-6189(in Chinese).
[13]李争,张家祯,王群京.U型无铁心永磁同步直线电机磁场建模与分析[J].电机与控制应用,2018,45(2):75-80.Li Zheng,Wang Jiazhen,Wang Qunjing.Magnetic field modeling and analysis of U-shaped ironless permanent magnet synchronous linear motor[J].Electric Machines&Control Application,2018,45(2):75-80(in Chinese).
[14]寇宝泉,罗俊,杨小宝,等.横向磁场磁通反向直线电机的设计与分析[J].中国电机工程学报,2017,37(4):1216-1224.Kou Baoquan,Luo Jun,Yang Xiaobao,et al.Design and analysis of a transverse-flux flux-reversal linear machine[J].Proceedings of the CSEE,2017,37(4):1216-1224(in Chinese).
[15]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.Long Xialing.Theory and electromagnetic design method of linear induction motor[M].Beijing:Science Press,2006(in Chinese).
[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(in Chinese).
[17]支凡,张鸣,朱煜,等.无铁心永磁同步直线电机推力谐波分析与消除[J].中国电机工程学报,2017,37(7):2101-2109.Zhi Fan,Zhang Ming,Zhu Yu,et al.Analysis and elimination of harmonics in force of ironless permanent magnet linear synchronous motor[J].Proceedings of the CSEE,2017,37(7):2101-2109(in Chinese).
[18]朱熙,范瑜,秦伟,等.旋转磁场电动式磁悬浮装置的力和损耗特性分析[J].中国电机工程学报,2012,32(12):90-96.Zhu Xi,Fan Yu,Qin Wei,et al.Force and loss characteristic analysis of rotating field electrodynamic levitation devices[J].Proceedings of the CSEE,2012,32(12):90-96(in Chinese).
[19]LüGang,Zeng Dihui,Zhou Tong,et al.Investigation of forces and secondary losses in linear induction motor with the solid and laminated back iron secondary for metro[J].IEEE Transactions on Industrial Electronics,2017,64(6):4382-4390.
[20]LüGang,Zhou Tong,Zeng Dihui,et al.Design of ladder-slit secondaries and performance improvement of linear induction motors for urban rail transit[J].IEEETransactions on Industrial Electronics,2018,65(2):1187-1195.
[21]Liu Bin,Zhang Xiaoyue,Fang Jin.Dynamic longitudinal edge effect of high-temperature superconducting linear induction motor[C]//Proceedings of 2015 IEEEInternational Conference on Applied Superconductivity and Electromagnetic Devices.Shanghai,China:IEEE,2015:143-144.
[2]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(in Chinese).
[3]Zare-Bazghaleh A,Fallah-Chulabi E,Shahalami S H.Force calculation with complete modeling of end-effect in single-sided linear induction motors[C]//Proceedings of2016 Power Electronics and Drive Systems Technologies Conference.Tehran,Iran:IEEE,2016:19-23.
[4]Zare-Bazghaleh A,Naghashan M R,Khodadoost A.Derivation of equivalent circuit parameters for single-sided linear induction motors[J].IEEE Transactions on Plasma Science,2015,43(10):3637-3644.
[5]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(in Chinese).
[6]李硕,范瑜,吕刚,等.非磁性次级直线感应电机力特性及涡流损耗分析[J].电机与控制学报,2014,18(4):1-5.Li Shuo,Fan Yu,LüGang,et al.Force characteristic and eddy loss analysis of a nonmagnetic secondary linear induction motor[J].Electric Machines and Control,2014,18(4):1-5(in Chinese).
[7]Gieras J,Dawson G,Eastham A.Performance calculation for single-sided linear induction motors with a double-layer reaction rail under constant current excitation[J].IEE Proceedings B-Electric Power Application,1985,132(4):185-194.
[8]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(in Chinese).
[9]黄练伟,胡基士.直线感应电机推力及法向力的计算[J].机车电传动,2005(1):36-39.Huang Lianwei,Hu Jishi.Calculation of thrust and normal force in linear induction motor[J].Electric Drive for Locomotives,2005(1):36-39(in Chinese).
[10]Shiri A.Electromagnetic force analysis in linear induction motors,considering end effect[C]//Proceedings of 2016Power Electronics and Drive Systems Technologies Conference.Tehran,Iran:IEEE,2016.
[11]Boldea I,Babescu M.Multilayer approach to the analysis of single-sided linear induction motors[J].Proceedings of the Institution of Electrical Engineers,1978,125(4):283-287.
[12]董顶峰,黄文新,卜飞飞,等.绕组周向分布圆筒型初级永磁直线电机结构及静态特性分析[J].中国电机工程学报,2017,37(21):6181-6189.Dong Dingfeng,Huang Wenxin,Bu Feifei,et al.Structure and static characteristic analysis of tubular primary permanent magnet linear machine with circumferential distribution of winding[J].Proceedings of the CSEE,2017,37(21):6181-6189(in Chinese).
[13]李争,张家祯,王群京.U型无铁心永磁同步直线电机磁场建模与分析[J].电机与控制应用,2018,45(2):75-80.Li Zheng,Wang Jiazhen,Wang Qunjing.Magnetic field modeling and analysis of U-shaped ironless permanent magnet synchronous linear motor[J].Electric Machines&Control Application,2018,45(2):75-80(in Chinese).
[14]寇宝泉,罗俊,杨小宝,等.横向磁场磁通反向直线电机的设计与分析[J].中国电机工程学报,2017,37(4):1216-1224.Kou Baoquan,Luo Jun,Yang Xiaobao,et al.Design and analysis of a transverse-flux flux-reversal linear machine[J].Proceedings of the CSEE,2017,37(4):1216-1224(in Chinese).
[15]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.Long Xialing.Theory and electromagnetic design method of linear induction motor[M].Beijing:Science Press,2006(in Chinese).
[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(in Chinese).
[17]支凡,张鸣,朱煜,等.无铁心永磁同步直线电机推力谐波分析与消除[J].中国电机工程学报,2017,37(7):2101-2109.Zhi Fan,Zhang Ming,Zhu Yu,et al.Analysis and elimination of harmonics in force of ironless permanent magnet linear synchronous motor[J].Proceedings of the CSEE,2017,37(7):2101-2109(in Chinese).
[18]朱熙,范瑜,秦伟,等.旋转磁场电动式磁悬浮装置的力和损耗特性分析[J].中国电机工程学报,2012,32(12):90-96.Zhu Xi,Fan Yu,Qin Wei,et al.Force and loss characteristic analysis of rotating field electrodynamic levitation devices[J].Proceedings of the CSEE,2012,32(12):90-96(in Chinese).
[19]LüGang,Zeng Dihui,Zhou Tong,et al.Investigation of forces and secondary losses in linear induction motor with the solid and laminated back iron secondary for metro[J].IEEE Transactions on Industrial Electronics,2017,64(6):4382-4390.
[20]LüGang,Zhou Tong,Zeng Dihui,et al.Design of ladder-slit secondaries and performance improvement of linear induction motors for urban rail transit[J].IEEETransactions on Industrial Electronics,2018,65(2):1187-1195.
[21]Liu Bin,Zhang Xiaoyue,Fang Jin.Dynamic longitudinal edge effect of high-temperature superconducting linear induction motor[C]//Proceedings of 2015 IEEEInternational Conference on Applied Superconductivity and Electromagnetic Devices.Shanghai,China:IEEE,2015:143-144.