电压稳定分析中潮流方程鞍结点分岔与极限诱导分岔的比较研究

Comparative Studies of Saddle-node Bifurcation and Limit-induced Bifurcations in Power Flow Equations for Voltage Stability Analysis

基于潮流方程模型的分岔分析是电力系统电压稳定静态分析的有用工具,其中潮流方程的鞍结点分岔和极限诱导分岔是两种不同的导致电压崩溃的分岔现象。文章从数学上与物理实际两个方面来比较这两种分岔的相同与不同点,以有助于理解并区分两种不同的电压崩溃现象。通过两个算例IEEE 57节点和IEEE 118节点系统,从数值结果方面说明了上述理论分析结果。

Bifurcation analysis based on the power flow equation model is a useful tool for static analysis of power system voltage stability, where the saddle-node bifurcation and limit-induced bifurcation associated with the power flow equation are two kinds of different bifurcation phenomena that result to voltage collapse. This paper discusses the similarities and differences of these two kinds of bifurcations from their mathematical and physical aspects for better understanding and identification of voltage collapse phenomena due to them. Numerical simulations on IEEE 57-bus and IEEE 118-bus systems are used to illustrate our theoretical results.