六相圆筒式直线感应电机磁路计算及饱和特性分析
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摘要
基于磁动势理论,给出了一种优化改进后的直线感应电机分布磁路计算方法,并将该方法应用于六相圆筒式直线感应电机。分析了该电机纵向边端铁心对磁通密度分布的影响,在此基础上给出了电机磁路分析模型,推导了磁路方程,给出了气隙磁通密度矩阵表达式和详细的求解过程。利用该方法可以简便快捷地计算出电机各部分磁通密度分布以及气隙饱和系数,计算精度与有限元数值计算相当。另外,基于气隙饱和系数,结合电机饱和电路模型,推导了初级电流与气隙饱和系数之间的关系。通过样机推力试验验证了上述计算方法的准确性。
This paper presents a research on magnetic circuit calculation and saturation characteristics analysis of the six phase cylindrical linear induction motor. The influence of the longitudinal end core on the magnetic density distribution is analyzed. Based on the magnetic circuit analysis model, the magnetic circuit equations were induced, the air gap flux density matrix expression and solution process was introduced in detail. By this linear induction motor distributed magnetic circuit method, the saturation coefficient and the magnetic density of each part of the motor can be calculated, and it almost has the same accuracy with finite element method. Additionally, based on the saturation coefficient, combing with the saturation circuit model, the relationship between winding current and saturation coefficient is induced. The correctness of the above calculation method is verified by thrust test of prototype machine.
This paper presents a research on magnetic circuit calculation and saturation characteristics analysis of the six phase cylindrical linear induction motor. The influence of the longitudinal end core on the magnetic density distribution is analyzed. Based on the magnetic circuit analysis model, the magnetic circuit equations were induced, the air gap flux density matrix expression and solution process was introduced in detail. By this linear induction motor distributed magnetic circuit method, the saturation coefficient and the magnetic density of each part of the motor can be calculated, and it almost has the same accuracy with finite element method. Additionally, based on the saturation coefficient, combing with the saturation circuit model, the relationship between winding current and saturation coefficient is induced. The correctness of the above calculation method is verified by thrust test of prototype machine.
引文
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[11]梁慧敏,由佳欣,叶雪荣,等.基于三维磁场仿真分析的含永磁继电器等效磁路模型的建立[J].电工技术学报,2011,26(1):46-50.Liang Huimin,You Jiaxin,Ye Xuerong,et al.Establish the equivalent magnetic circuit for permanent magnet relay 3-D magnetic field analysis[J].Transactions of China Electrotechnical Society,2011,26(1):46-50.
[12]Guha S,Kar N C.Saturation modeling and stability analysis of synchronous reluctance generator[J].IEEE Transactions on Energy Conversion,2008,23(3):814-823.
[13]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.
[14]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.
[15]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.
[2]Doyle M R,Samuel D J,Conway T,et al.Electromagnetic aircraft launch system:EMALS[J].IEEE Transactions on Magnetics,1995,31(2):528-533.
[3]Xu Jin,Yang Xidang,Ma Weiming,et al.Nonelinear calculation methods of long primary double-sided linear induction motor[C]//2014 17th International Conference on Electrical Machines and Systems,Hangzhou,2014:1774-1778.
[4]许金,马伟明.无槽双边长定子直线异步电动机二维磁场分布及电磁力计算[J].电工技术学报,2008,23(9):38-44.Xu Jin,Ma Weiming.Analysis of 2-D magnetic field and calculation of electromagnetic force of slotless long stator double-sided linear induction motor[J].Transactions of China Electrotechnical Society,2008,23(9):38-44.
[5]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.
[6]Caruso M,Cipriani G,Di Dio V,er al.Performance comparison of tubular linear induction motors with different primary winding connections[C]//2014International Conference on Electrical Machines,Berlin,Germany,2014:1370-1375.
[7]Patterson D.Design and simulation of a permanent-magnet electromagnetic aircraft launcher[J].IEEE Transactions on Industry Applications,2005,41(2):566-574.
[8]黄垂兵,许金,马伟明,等.分段供电六相圆筒式直线感应电动机数学模型[J].国防科技大学学报,2016,38(6):18-23.Huang Chuibing,Xu Jin,Ma Weiming,et al.Mathmatical model of six-phase block feeding cylindrical linear induction motor[J].Jounal of National University of Defense Technology,2016,38(6):18-23.
[9]许金,马伟明.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.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.
[10]郑萍,王勃,吴帆,等.电动汽车用双三相永磁同步电机饱和电感特性分析及计算方法[J].电工技术学报,2013,28(7):19-25.Zheng Ping,Wang Bo,Wu Fan,et al.Analysis and calculation method of saturation inductance for dual phase permanent magnet synchronous motor used in electric vehicles[J].Transactions of China Electrotechnical Society,2013,28(7):19-25.
[11]梁慧敏,由佳欣,叶雪荣,等.基于三维磁场仿真分析的含永磁继电器等效磁路模型的建立[J].电工技术学报,2011,26(1):46-50.Liang Huimin,You Jiaxin,Ye Xuerong,et al.Establish the equivalent magnetic circuit for permanent magnet relay 3-D magnetic field analysis[J].Transactions of China Electrotechnical Society,2011,26(1):46-50.
[12]Guha S,Kar N C.Saturation modeling and stability analysis of synchronous reluctance generator[J].IEEE Transactions on Energy Conversion,2008,23(3):814-823.
[13]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.
[14]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.
[15]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.