Counterexamples to a Method for Identifying Hopf Bifurcations Without Eigenvalue Calculation

Author

Arroyo, Jaime ; Dobson, Ian

Author_Institution

ECE Dept., Wisconsin Univ., Madison, WI

Volume

54

Issue

5

fYear

2007

fDate

5/1/2007 12:00:00 AM

Firstpage

432

Lastpage

434

Abstract

We give counterexamples to the numerical method for detecting Hopf bifurcations in electric power systems by singularity of a symmetrized Jacobian in Y. Zhou, V. Ajjarapu," A fast algorithm for identification and tracing of voltage and oscillatory stability margin boundaries", IEEE Proceedings, vol.93, no.5, May 2005, p.934-46. The counterexamples include some simple matrix examples and a single machine infinite bus power system

Keywords

Jacobian matrices; bifurcation; eigenvalues and eigenfunctions; power system dynamic stability; Hopf bifurcations; eigenvalue calculation; electric power systems; numerical analysis; power system dynamic stability; single machine infinite bus power system; symmetrized Jacobian matrices; Bifurcation; Eigenvalues and eigenfunctions; Equations; Jacobian matrices; Numerical stability; Power system analysis computing; Power system dynamics; Power system modeling; Power system stability; Voltage-controlled oscillators; Bifurcation; numerical analysis; power system dynamic stability;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2006.890404

Filename

4182494