发电机转子气隙磁非线性耦合振动分析

应用推广的拉格朗日－麦克斯韦方程，找到了考虑磁饱和时发电机气隙磁场能的解析式，建立了发电机组电磁激发振动的非线性常微分方程组，指出发电机的磁饱和特性是引起倍频电磁干扰力的原因之一，求得了非线性方程组满足主共振－主参数共振时的解，分析了发电机组电磁参数对共振特性的影响，揭示了一些新现象。

Analyses on Magnetic Nonlinear Coupled Oscillations in Air Gap of a Generator Rotor System

Applying the extended Lagrange Maxwell equation, considering the magnetic saturation, the magnetic energy in air gap of the generator is acquired in analytic form , the differential equations with periodic coefficients of rotor system are established. It is shown that the magnetic saturation is one of factors which causes electromagnetic moment with double frequencies. The first approximation solution and its corresponding steady state solution of primary parametric resonances are obtained. The effect of electromagnetic parameter in rotor system to the resonance characteristics is analysed. Some of new phenomena and characteristics are revealed.