Foundations of the potential energy boundary surface method for power system transient stability analysis

Author

Chiang, Hsiao-Dong ; Wu, Felix F. ; Varaiya, Pravin

Author_Institution

California Univ., Berkeley, CA, USA

Volume

35

Issue

6

fYear

1988

fDate

6/1/1988 12:00:00 AM

Firstpage

712

Lastpage

728

Abstract

A theoretical foundation is provided for the potential energy boundary surface (PEBS) method for power system transient stability analysis. First, a theory of stability boundaries for two classes of dynamical systems: generalized gradient systems and systems described by a second-order vector differential equation. A complete characterization of the stability boundaries of these two dynamical system classes is given, and a qualitative analysis is conducted of the stability boundary when the vector field of the system is under a certain kind of perturbation. Using these results, the PEBS method is evaluated. Conditions under which the PEBS method gives good stability assessments are derived. A modified PEBS method is suggested

Keywords

differential equations; nonlinear systems; power systems; stability; transient response; dynamical systems; generalized gradient systems; potential energy boundary surface method; power system; second-order vector differential equation; stability boundaries; transient stability analysis; Differential equations; Mathematical model; Potential energy; Power system analysis computing; Power system faults; Power system stability; Power system transients; Stability analysis; Steady-state; Transient analysis;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.1808

Filename

1808