Lagrange-Maxwell方程与发电机组磁饱和参数共振  

Lagrange-Maxwell Equation and Magnetic Saturation Parametric Resonance of Generator Set

作　　者：杨志安[1] 李文兰[2] 邱家俊[3] 席晓燕[1] 

机构地区：[1]唐山学院唐山市结构与振动重点实验室,河北唐山063000 [2]天津大学图书馆,天津300072 [3]天津大学机械工程学院,天津300072

出　　处：《应用数学和力学》2007年第11期1379-1386,共8页Applied Mathematics and Mechanics

摘　　要：推广了Lagrange-Maxwell方程,使之适用于分析发电机组磁饱和振动问题.应用机电分析动力学方法和电机学理论,找到了考虑磁饱和时发电机气隙磁场能,建立了发电机组电磁激发振动的非线性常微分方程组.发现在磁饱和状态下发电机电磁干扰力包括倍频参数激励成分.应用平均法求得系统主参数共振时的解,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.Lagrange-Maxwell＇ s equation was extended firstly. With the theory of electromechanical analytical dynamics, the magnetic complement energy in air gap of generator was acquired. The torsional viration differential equations with periodic coefficients of rotor shafting of generator that is in the state of magnetic saturation were established. It is shown that the magnetic saturation may cause double frequency electromagnetic moment. By means of the averaging method, the first approximate solution and corresponding solution of the primary parametric resonance was obtained. The characteristics and laws of the primary parametric resonance excited by the electromagnetism were analyzed and some of new phenomena were revealed.

关 键 词：发电机组 磁饱和 平均法 参数共振 

分 类 号：O321[理学—一般力学与力学基础]