应用“复合变换法”分析计及多个气隙磁场波的异步电动机动态起动特性

Analysis of the Dynamic Performances of Asynchronous Motors with Space Harmonic Fields Using Compound Transformations

本文首次提出“复合变换法”，并将其应用于计及多个气隙磁场波的异步电动机的动态特性的分析，从而将动态微分方程组的变系数变换为常系数，大大简化方程的求解。在本文提出的“复合变换”中首次在同时计及多个气隙磁场波的情况下，将定、转子系统各电磁量变换到基波同步电角速度转动的座标系统，导出了与似稳态特性方程完全相似的常系数动态特性方程，从而实现了由似稳态特性方程采用类比法直接得出常系数动态特征方程。本文通过一个计算实例验证了理论分析的正确性和实用性。

With the compound transformation method advanced by authors,the variable coeffiCientS in the dynamic phase equations of asynchronous motors can be transformed into the constant ones in taking several (not one) air-gap magnatic field waves into account,so that the analysis and solution of the dynamic equations are simplified greatly.Through the compound transformations,all order variables of stator and rotor systems on the static corrdinate are transfomed into those on the rotating coordinate with the synChronous electrical angular velocity. We find that there are similarity and unity between the dynamic equations and static ones. msed on similarity,the constant coefficients dynamic vector equations transformed can be obtained directly and simply from the corresPOnding similar-steady phasor equations. The correctness and practicability of the analysis method advanced in this poper has been testified on a real motor.