含统一潮流控制器的电力系统分歧现象研究

含统一潮流控制器(Unified Power Flow Controller,简称UPFC)的电力系统中的非线性奇异现象是电力电子器件在电力系统应用中出现的新问题.UPFC参数在正常范围内的变化就可能导致不同的分歧出现,使得系统的拓扑结构发生不同的变化,系统的动态特性和稳定性也将随之变化.本文利用分歧理论,提出了分析这种非线性奇异现象的方法,研究了发生在含UPFC的系统中出现的鞍点分歧、Hopf分歧和奇异诱导分歧现象.研究表明,计及分歧时的稳定与Lyapunov稳定有着本质的区别,后者是对一个给定系统改变初始条件来研究系统的稳定性态;而计及分歧时,反映出来的是系统状态的一种跳跃或突变,从而为含UPFC的系统位于非双曲平衡点邻域内的安全稳定运行提供了一些新观点和新见解.

Study on Bifurcation in Power Systems With Unified Power Flow Controller

The nonlinear singularity phenomenon in power system with UPFC(unified power flow controller)is a new problem following the application of modern power electronic component. The bifurcation phenomenon may occur while the parameters of UPFC are changed in normal running area. Then the system dynamic characteristic and stability will be influenced because the topology structure of the system is changed. The nonlinear singularity phenomenon has been researched by using bifurcation theory and an algorithm has been presented to analyze the phenomenon in this paper. The phenomena of Saddle-bifurcation, Hopf-bifurcation and Singularity Induced Bifurcation in power system with UPFC has also been studied. There is a constitutionally difference between stability considered bifurcation and Lyapunov stability. The latter is studied through changing the system initial condition and the topology structure of system is still an old one. But when the bifurcation occur the topology structure of system have been changed. It reflects a springing transformation or catastrophe for the state variables. Thus some new viewpoints are obtained for the security and stability of the system running near non-hyperbola equilibrium point with UPFC.