Research of the stability region in a power system

Author

Jing, Zhujun ; Jia, Zhiyuan ; Gao, Yinghui

Author_Institution

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

Volume

50

Issue

2

fYear

2003

fDate

2/1/2003 12:00:00 AM

Firstpage

298

Lastpage

304

Abstract

A power system is employed to illustrate how we can apply singular perturbation theory to decompose a full system into two subsystems, slow and fast subsystems. Then, we study the qualitative properties of their solutions and finally obtain the stability region and an analytical expression of the approximate stability boundary of the operation point of the full system by numerical simulation and by computing the local quadratic approximation of the one-dimensional stable manifold at the saddle point. Furthermore, we consider the effects of changing the parameters on the size of the stability region.

Keywords

power system dynamic stability; singularly perturbed systems; approximate stability boundary; attractive region; fast subsystems; full system decomposition; high-voltage operating point; local quadratic approximation; numerical simulation; numerical simulations; one-dimensional stable manifold; power system dynamics; power system stability region; qualitative properties; saddle point; singular perturbation theory; slow subsystems; stability region; time-scale decomposition; voltage collapse; Mathematics; Numerical simulation; Perturbation methods; Power system analysis computing; Power system measurements; Power system security; Power system stability; Power system transients; Stability analysis; Voltage;

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.2002.808214

Filename

1183658