Voltage Stability Analysis of Power System Based on Bifurcation Theory

In order to study the voltage stability of power system, the basic bifurcation theory is used to analyze the common bifurcation phenomenon and the effects of bifurcation on the voltage stability. In this paper, the application of static and dynamic bifurcation in voltage stability studies is reviewed respectively. In the static bifurcation analysis, the saddle node bifurcation (SNB) and the limit induced bifurcation (LIB) are analyzed emphatically. In the dynamic bifurcation analysis, Hopf bifurcation (HB) and singular induced bifurcation (SIB) are analyzed emphatically. These four kings of bifurcation causing mainly voltage instability are discussed and summarized detailedly; the advantages and disadvantages of these methods are compared. Finally, the further research field of bifurcation theory applied in voltage stability analysis is prospected.