摘要
以与弱联电网相连的单机系统为对象 ,研究发电机转子摇摆的非线性稳定性问题·用微分方程几何理论的后继函数方法 ,判别了非线性摇摆方程的中心奇点的稳定性 ,并应用多尺度法求解了摇摆方程 ,得到了方程的二次近似稳态解·分析了电网扰动参数对转子响应的影响 ,发现了在不同扰动参数下转子响应呈现复杂的分叉与混沌运动 ,为弱联电力系统的稳定性提供了判据·
A simple link rotor system is comprised of single generator rotor and maximum electric net joined with the rotor. The nonlinear equation describing the system status change is called vacillation equation. Because of possessing center singular, the nonlinear equation belongs to non hyperbolic type. By means of the following function method of nonlinear equation,the stability of the vacillation equation was verified. When rotor system stands severe net perturbation, generator rotor would vacillate with lower frequency surrounding its synchronous rotating speed. This would induce change of the power net frequency and wave form and would decrease power quality. Perturbation method was applied to the case and two order,approximate solution of the vacillation equation was derived.Electric parameters correction and mechanic damping are two efficient means. The bifurcation and chaos motions of rotor synchronous vacillation were analyzed. Bifurcation diagram, maximum Lyapunov exponent curve, Poincare mapping of the rotor responses were obtained based on electric turbulence magnitude. Period double and intermittent bifurcations are two main ways towards chaos. This should be noted in the rotor vacillation stability.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2001年第4期405-408,共4页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金资助项目 ( 19990 5 10 )
