发电机组轴系电磁激发扭振主共振与奇异性

Primary Resonance of Generator Set Shafting Torsion Vibration Excited by Electromagnetism and Its Singularity

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-麦克斯韦方程建立发电机转子轴系扭振方程组.由非线性振动平均法求得主共振幅频响应分岔方程并进行奇异性分析,得到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,系统主共振的共振区增大.

To study shafting torsion vibration of a generator set excited by electromagnetism at magnetic saturation, by applying generalized Lagrange-Maxwell＇s equation, nonlinear torsion vibration equations of the system are established. By means of the averaging method for nonlinear vibration analysis, the amplitude-frequency response bifurcation equation of primary resonance is obtained and its singularity is analyzed. Transition sets and bifurcation diagrams on unfolding plane are obtained. Numerical results show that with the increase of magnetizing current and nonlinear permeability, as well as with the reduction of synchronizing reactance, the region of primary resonance is enlarged.