2003•Unpublished venueRequires access

Nonlinear static and dynamical aspects of power systems: a bifurcation approach

Venkataramana Ajjarapu

Abstract

The author presents basic concepts in bifurcation theory which can be applied to study the voltage stability and nonlinear oscillations of power system networks. Dynamical systems are considered with one parameter. Changing the parameter may drive the system from one asymptotic behavior to another and result in different bifurcations. Typical static bifurcations are (i) saddle-node or fold bifurcation, (ii) transcritical bifurcation, and the( iii) pitchfork bifurcation. A typical dynamic bifurcation is the Hopf bifurcation. Numerical identification of these bifurcations is considered from a power system network point of view.>

About this research paper

What this paper is about

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Saddle-node bifurcation, Transcritical bifurcation, Pitchfork bifurcation, Biological applications of bifurcation theory, Bifurcation, Bifurcation theory, Bogdanov–Takens bifurcation, Control theory (sociology)