Bifurcation, chaos, and voltage collapse in power systems

Author

Tan, Chin-woo ; Varghese, Matthew ; Varaiya, Pravin ; Wu, Felix F.

Author_Institution

GeoStar Technol. Inc., Santa Clara, CA, USA

Volume

83

Issue

11

fYear

1995

fDate

11/1/1995 12:00:00 AM

Firstpage

1484

Lastpage

1496

Abstract

A model of a power system with load dynamics is studied by investigating qualitative changes in its behavior as the reactive power demand at a load bus is increased. In addition to the saddle node bilification often associated with voltage collapse, the power system exhibits sub- and supercritical Hopf bifurcations, cyclic fold bifurcation, and period doubling bifurcation. Cascades of period doubling bifurcation terminate in chaotic invariant sets. The presence of these new bifurcations motivates a reexamination of the saddle-node bifurcation as the boundary of the feasible set of power injections

Keywords

bifurcation; chaos; load (electric); power system stability; reactive power; chaos; chaotic invariant sets; cyclic fold bifurcation; load bus; load dynamics; modelling; period doubling bifurcation; power injections; power systems; reactive power demand; saddle node bilification; subcritical Hopf bifurcations; supercritical Hopf bifurcations; voltage collapse; Bifurcation; Chaos; Equations; Limit-cycles; Power system dynamics; Power system modeling; Power system simulation; Power system stability; Power systems; Voltage;

fLanguage

English

Journal_Title

Proceedings of the IEEE

Publisher

ieee

ISSN

0018-9219

Type

jour

DOI

10.1109/5.481631

Filename

481631