2010Unpublished venueRequires access

The Comments on Dynamic Bifurcation of Voltage Stability in Power System

Youjie Ma, Li Xiao-shuang, Zhou Xue-song, Li Ji

Open publisher page 12 citations

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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What this paper is about

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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OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Homoclinic bifurcation, Saddle-node bifurcation, Transcritical bifurcation, Biological applications of bifurcation theory, Period-doubling bifurcation, Bifurcation diagram, Bogdanov–Takens bifurcation, Bifurcation

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