Analysis of Voltage Stability of Power Systems Using the Bifurcation Theory

In order to research power system voltage stability, based on the basic concepts and principles of the bifurcation theory, the qualitative behavior of power system voltage stability dynamics as modeled by differential algebraic equations is discussed. Bifurcation phenomena and the effect of these bifurcations on the voltage stability analysis are overviewed in power systems. The application of static and dynamic bifurcation in voltage stability studies is discussed in detail, respectively. Two main kinds of bifurcations, that is, saddle-node bifurcation(SNB), Hopf bifurcation(HB) which result in voltage instability, are analyzed emphatically. The advantages and disadvantages of the computation methods are compared. The effect of interaction of bifurcations on voltage stability is also discussed briefly. Multi-parameters problems are intrinsically important in power system voltage stability, and the issues involving higher bifurcation will certainly emerge, other further research fields of bifurcation theory applied in voltage stability analysis is predicted in the future.