Computation of limit cycle via higher order harmonic balance approximation and its application to a 3-bus power system

Author

Jing, Zhujun ; Wang, Jinliang ; Chen, Luonan

Author_Institution

Dept. of Math., Hunan Normal Univ., Changsha, China

Volume

49

Issue

9

fYear

2002

fDate

9/1/2002 12:00:00 AM

Firstpage

1360

Lastpage

1370

Abstract

This work reviews and elaborates a frequency domain approximate method of estimating amplitude, frequency, and stability of the limit cycle near Hopf bifurcations. A new iterative method and new criterion for ascertaining stability are presented. The method and criterion are applied to a 3-bus dynamic power system model to give the amplitude, frequency and stability at its Hopf bifurcations. New analytic formulas for bifurcation curves are derived by using analytic method, some new saddle-node bifurcation at low voltage levels are found on the formulas. The influence of rotor inertia on the Hopf bifurcation is also studied.

Keywords

approximation theory; bifurcation; iterative methods; limit cycles; power system stability; stability; 3-bus dynamic power system model; Hopf bifurcation; frequency domain approximate method; higher order harmonic balance approximation; iterative method; limit cycle computation; rotor inertia; saddle-node bifurcation; stability; Amplitude estimation; Bifurcation; Frequency domain analysis; Frequency estimation; Limit-cycles; Power system dynamics; Power system harmonics; Power system modeling; Power system stability; Stability criteria;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/TCSI.2002.802348

Filename

1031972