基于向量场正规形的电力系统稳定模式相关性理论分析

在以往的文献中,常将电力系统的功角稳定性问题和电压稳定性问题区分开来研究,但现代电力系统的强非线性特性使得很难严格地将它们区分开来,实际上,它们共同决定了电力系统复杂的动态行为,系统的失稳模式归根结底只有一种。为此对电力系统的辅助动态系统采用向量场正规形方法,对一个简单4节点电力系统进行了分析。通过分析电力系统内部模式间的非线性相关作用来认识和理解系统的动态特性,深化了线性化分析中的特征分析理论,为分析强非线性下系统的稳定性及非线性动态特性提供了一条新的有效途径。

Theoretical Analysis of the Interaction Between Power System Stability Modes with the Normal Forms of Vector Fields

Because of the strong nonlinear characteristics appearing in the modern power system, the strong interaction does exist between angle stability and voltage stability, which were studied insularly for a long time. In fact, only one mode exists when a power system loses its stability, in other words, angle stability decides the complexity of dynamic behavior together with voltage stability. The authors propose the theory of normal forms of vector fields to the auxiliary dynamic system. This methodology is tested on a 4-bus power system. by which the nonlinear interaction between modes of power system may be analyzed and then the dynamic characteristic of strong nonlinear system may be extracted. The eigenvalue analysis may be extended by this methodology, which is a new avenue to study both the stability and the dynamic behavior of power system under nonlinear.