实心转子电机参数解析计算的研究

Research of Calculating Solid Rotor Machine Parameters in a Analytic Method

实心转子电机转子参数很难确定,较准确的计算方法是有限元法,但是该方法比较耗时,对计算机硬件要求高。为解决实心转子电机参数计算问题,根据实心转子电机结构特点,建立圆柱坐标系和基于矢量磁位的偏微分方程组,得到了转子参数的解析表达式和曲率效应系数。综合考虑电机饱和影响、涡流效应和端部效应,结合等值电路,得到最大电磁转矩与定子参数和转子阻抗角相关;转子电阻正比于转子材料相对磁导率与转差率之商的平方根。用有限元法求解了电机的空载电流、起动电流和起动转矩,经实验验证,实验结果和计算结果满足工程误差要求,为实心转子电机的转子参数计算提供了参考。

It is hard to determine the rotor parameters of a solid rotor machine. Finite element method（ FEM） will arrive at much better results. However,it consumes amounts of time and calls for advanced hardware. In order to determining the parameters,a cylindrical coordinate and partial differential equations based on vector magnetic potential were used. The analytical expressions of rotor parameters and curvature effect ratio were presented in this paper. Considering the saturation of the motor,eddy current effect and end effect comprehensively and combining the equivalent circuit,it arrives at a conclusion that the maximum torque is related to the stator parameters and rotor impedance angle. Meanwhile,rotor resistance is proportional to the square root of the quotient of relative permeability and slip. No-load current,starting current and starting torque were acquired in use of finite element method. Experiment results and calculations meet the demands of engineering error.