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

Author

Saha, S. ; Fouad, A.A. ; Kliemann, W.H. ; Vittal, V.

Author_Institution

Iowa State Univ., Ames, IA, USA

Volume

12

Issue

2

fYear

1997

fDate

5/1/1997 12:00:00 AM

Firstpage

797

Lastpage

802

Abstract

This paper presents a method to approximate the stability boundary of the post-fault stable equilibrium point of a power system using the real normal form of vector fields. We first explain the method of approximating the invariant manifolds of an equilibrium point via second order normal forms, and present an instructive example. The proposed method is then used to analyze an 11 generator test system. For two different fault scenarios and different loading conditions, we determine the controlling unstable equilibrium point (UEP), study the change of this UEP under increased loading, find the approximation to the stability boundary, and discuss the change of its shape. Finally, the behavior of system trajectories near the UEP and the stability boundary is described

Keywords

load (electric); power system stability; 11 generator test system; fault scenarios; invariant manifolds approximation; load model; loading conditions; post-fault stable equilibrium point; power system; real normal form; second order normal forms; stability boundary approximation; system trajectories; unstable equilibrium point; vector fields; Nonlinear dynamical systems; Power system analysis computing; Power system faults; Power system interconnection; Power system stability; Power system transients; Senior members; Shape control; Student members; System testing;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.589689

Filename

589689