磁饱和时发电机组轴系电磁激发扭振组合共振  

Combined Resonance of a Generator Set Shafting Torsional Vibration Excited by Electromagnetism When Magnetic Saturation

作　　者：杨志安[1] 李文兰[2] 邱家俊[3] 

机构地区：[1]唐山学院唐山市结构与振动工程重点实验室,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：《天津大学学报》2007年第1期62-67,共6页Journal of Tianjin University(Science and Technology)

摘　　要：为研究磁饱和状态下发电机转子轴系电磁激发扭振问题,应用推广形式的拉格朗日-麦克斯韦方程,找到磁饱和状态下发电机气隙磁场能量,建立了电机转子轴系扭振方程组．由非线性振动平均法求得满足组合共振时幅频响应分岔方程并进行奇异性分析,得到了开折参数平面的转迁集和分岔图．数值结果表明,随着激磁电流和非线性磁导的增加,以及同步电抗的减小,系统组合共振的共振区增大．To investigate torsional vibration problems of a generator rotor shafting excited by electromagnetism under magnetic saturation, based on generalized Lagrange-Maxwell equation, the magnetic complement energy in air gap of the generator is acquired under magnetic saturation, and nonlinear torsional vibration equations of the generator rotor shafting are established. By means of the average method for nonlinear amplitude frequency bifurcation equation of combined resonance system is obtained and vibration analysis, the its singularity is analyzed. Transition sets and bifurcation diagrams on unfolding plane are gained. Numerical resuhs show that the region of combined resonance is enlarged with the increase of magnetizing electricity and nonlinear permeance, and the decrease of synchronizing reactor.

关 键 词：磁饱和 发电机组 电磁激发 组合共振 奇异性 

分 类 号：O321[理学—一般力学与力学基础]