Banded chaos in power systems

Author

Ben-Tal, Alona ; Kirk, Vivien ; Wake, Graeme

Author_Institution

Dept. of Math., Auckland Univ., New Zealand

Volume

16

Issue

1

fYear

2001

fDate

1/1/2001 12:00:00 AM

Firstpage

105

Lastpage

110

Abstract

This paper focuses on one aspect of ferroresonance in power systems, i.e., the appearance of a strange attractor with a band-like structure. This attractor was called a “pseudoperiodic” attractor in a previous paper where the phenomenon was first reported. It was found in this study that banded chaos arises from a sequence of period doubling bifurcations. Odd-subharmonics undergo a symmetry-breaking bifurcation before the period doubling cascade takes place. A theoretical discussion of symmetry-breaking and period doubling is given and a route to banded chaos in an actual power system is demonstrated. The Lyapunov exponents for the strange attractor were calculated

Keywords

bifurcation; chaos; ferroresonance; power systems; Lyapunov exponents; banded chaos; ferroresonance; odd-subharmonics; period doubling bifurcations; period doubling cascade; power systems; pseudoperiodic attractor; strange attractor; symmetry-breaking bifurcation; Bifurcation; Chaos; Ferroresonance; Frequency; Kirk field collapse effect; Mathematics; Power systems; Steady-state; Surges; Voltage transformers;

fLanguage

English

Journal_Title

Power Delivery, IEEE Transactions on

Publisher

ieee

ISSN

0885-8977

Type

jour

DOI

10.1109/61.905606

Filename

905606