Banded chaos in power systems

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 attr actor was called a "pseudoperiodic" attractor in a previous paper where the phenomenon was first reported, It was found in this study that banded chao s 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 doubl ing is given and a route to banded chaos in an actual power system is demon strated. The Lyapunov exponents for the strange attractor were calculated.