Local approximation of stability boundary of a power system using the real normal form of vector fields

Author

Saha, S. ; Vittal, V. ; Kliemann, IV ; Fouad, A.A.

Author_Institution

Iowa State Univ., Ames, IA, USA

Volume

3

fYear

1995

fDate

30 Apr-3 May 1995

Firstpage

2330

Abstract

The objective of this work is to approximate the stability boundary of a power system without any integration using the normal form of the vector fields. This involves two steps: (1) first to test which unstable equilibrium point (UEP) lies on the stability boundary, and (2) the second step is to approximate the boundary by the second order approximated manifolds. The approximation is accomplished using the normal forms of vector fields. The stability boundary and its behavior under stressed system conditions are examined. The method is applied to an eleven-generator test system

Keywords

eigenvalues and eigenfunctions; electric generators; nonlinear differential equations; power system stability; local approximation; multi-generator test system; power system; real normal form; second order approximated manifolds; stability boundary; stressed system conditions; unstable equilibrium point; vector fields; Control systems; Differential equations; Nonlinear systems; Potential energy; Power system analysis computing; Power system stability; Power system transients; Stability analysis; System testing; Transient analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1995. ISCAS '95., 1995 IEEE International Symposium on

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2570-2

Type

conf

DOI

10.1109/ISCAS.1995.523897

Filename

523897