Title :
Counterexamples to a Method for Identifying Hopf Bifurcations Without Eigenvalue Calculation
Author :
Arroyo, Jaime ; Dobson, Ian
Author_Institution :
ECE Dept., Wisconsin Univ., Madison, WI
fDate :
5/1/2007 12:00:00 AM
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;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2006.890404
