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Banded chaos in power systems

2001; Institute of Electrical and Electronics Engineers; Volume: 16; Issue: 1 Linguagem: Inglês

10.1109/61.905606

1937-4208

Alona Ben‐Tal, Vivien Kirk, G.C. Wake,

Vibration and Dynamic Analysis

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.