The Comments on Dynamic Bifurcation of Voltage Stability in Power System
Youjie Ma, Li Xiao-shuang, Zhou Xue-song, Li Ji
Abstract
Youjie Ma, Li Xiao-shuang, Zhou Xue-song, Li Ji
Abstract
Based on the basic concepts and the main methods of bifurcation theory, we introduce the dynamic bifurcation Phenomenon in the power system voltage stability analysis and the relationship between them, making a more comprehensive summary and comment about dynamic bifurcation which used in the power system voltage stability analysis currently. In the text, we discuss the Hopf bifurcation (HB), period-doubling bifurcation, torus bifurcation and homoclinic (heteroclinic) bifurcation, among them, the Hopf bifurcation is discussed elaborated. Finally, We prospect the depth areas which the bifurcation theory in the voltage stability analysis need to be further explored.
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Based on the basic concepts and the main methods of bifurcation theory, we introduce the dynamic bifurcation Phenomenon in the power system voltage stability analysis and the relationship between them, making a more comprehensive summary and comment about dynamic bifurcation which used in the power system voltage stability analysis currently. In the text, we discuss the Hopf bifurcation (HB), period-doubling bifurcation, torus bifurcation and homoclinic (heteroclinic) bifurcation, among them, the Hopf bifurcation is discussed elaborated. Finally, We prospect the depth areas which the bifurcation theory in the voltage stability analysis need to be further explored.
Key concepts: Homoclinic bifurcation, Saddle-node bifurcation, Transcritical bifurcation, Biological applications of bifurcation theory, Period-doubling bifurcation, Bifurcation diagram, Bogdanov–Takens bifurcation, Bifurcation