Dynamics of a minimal power system: invariant tori and quasi-periodic motions

Author

Ji, Weijun ; Venkatasubramanian, Vaithianathan

Author_Institution

Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA

Volume

42

Issue

12

fYear

1995

fDate

12/1/1995 12:00:00 AM

Firstpage

981

Lastpage

1000

Abstract

The paper provides an extensive analysis of local and global bifurcation phenomena in the voltage-angle dynamic interactions of a minimal power system model. Using nonlinear analysis and normal form theory, it is proved that this system will experience quasi-periodic motions near certain degenerate local bifurcations which are explicitly characterized. The results in the paper provide strong analytical evidence for the possible occurrence of complicated behavior in the power system from the interactions of voltage and angle instability mechanisms. Computational methods for the detection of invariant 2-tori in higher dimensional systems using tools from center manifold theory and normal form theory are introduced briefly and these techniques are illustrated on a fourth order power system model

Keywords

bifurcation; nonlinear dynamical systems; power system analysis computing; power system stability; realisation theory; angle instability mechanisms; center manifold theory; fourth order power system; global bifurcation; invariant tori systems; local bifurcation; minimal power system; nonlinear analysis; normal form theory; power system dynamics; power system model; quasi-periodic motions; voltage-angle dynamic interactions; Bifurcation; Motion analysis; Nonlinear dynamical systems; Power system analysis computing; Power system dynamics; Power system interconnection; Power system modeling; Power system stability; Power systems; Voltage;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.481194

Filename

481194