小扰动稳定域微分拓扑学性质初探——(二)小扰动稳定域内部空洞出现机理分析

Tentative Study on Differential Topological Characteristics of the Small Signal Stability Region Part Two Theoretical Analysis for the Existing of Instability Region (Hole) in Small Signal Stability Region

对所发现的小扰动稳定域内部存在空洞现象进行了机理分析,力图找到这一现象出现的原因。对分岔问题进行深入分析后,发现算例系统小扰动稳定域内部空洞现象的产生是由该系统的Hopf分岔退化现象导致的,而空洞区域的破裂和最后消失则与该系统不同Hopf分岔曲线的相交有关。该研究思路和研究方法,希望能对进一步探求真实电力系统小扰动稳定域的微分拓扑学性质起到一定的启示作用。

A deep study is given to understand the cause of instability region （hole） existing in a small signal stability region （SSSR）. Based on careful bifurcation analysis, it＇ s found that occurrence of the hole is caused by Hopf bifurcation degeneration, while disappearance of the hole is relative to the intersection of two Hopf bifurcation curves. Hence a conclusion is drawn that SSSR＇s complex differential topological characteristics are closely involved in some deep bifurcation of nonlinear dynamic systems. Work of this paper is helpful to understand the SSSR＇ s differential topological characteristics of power systems.