径向充磁圆筒永磁直线同步电机磁场和推力解析计算

Analytical Calculation of Magnetic Field and Thrust Force in Radial Magnetized Tubular Permanent Magnet Linear Synchronous Motor

介绍了一种基于标量磁位分离变量法(圆柱坐标)的径向充磁圆筒永磁直线同步电机磁场解析计算方法。利用该解析法理论分析了无槽电机的气隙磁场,得到了气隙磁场的轴向和径向磁场分布的解析结果;同时对有槽电机引入了卡特系数并利用许-克变换构造了考虑齿槽效应的气隙相对比磁导函数,得出了径向磁通密度的解析表达式;此外,文中还利用解析法计算了无槽电机的推力;通过有限元数值算法对磁场和推力进行计算,结果表明,该电机气隙磁场及电磁推力的两种计算方法的结果误差很小,验证了解析法的正确性和实用性。最后给出了无槽型实验样机的径向磁场分布以及电机额定负载时的推力实验结果,验证了样机分析和设计的正确性。

The paper introduces a separated variables analytic magnetic field calculation method. Based on cylindrical coordinate scalar quantity magnet,this method focuses on the radial magnet tubular permanent magnet linear synchronous motor.Air-gap magnetic field distribution in slotless motor is analyzed by this method theoretically.Analytical results of the axial and radial air-gap magnetic field distribution are obtained.To the slotted motors,analytical expressions of radial flux density is obtained by introducing a Carter coefficient,and an air-gap relative ratio permeance function based on Schwarz-Christoffel transformation and considering cogging effect as well.Furthermore, thrust force of the slotless motor is calculated analytically.And,magnetic field and thrust of the results are verified with finite element numerical algorithm.That is,the motor air-gap magnetic field and thrust force calculation results are matched very well by the two methods,and the analytical method is verified correct and practical.Finally,the results of the slotless prototype radial magnetic field distribution and the thrust force with rated load are given,it is verified that the analysis and design prototype is correct.