Random parameters induce chaos in power systems

Abstract

We study how random parameter (namely, noise-perturbed parameter) effects the dynamical behaviors of power systems using random Melnikov technique and numerical simulation. The studied model is described by the classical single-machine-infinite-bus systems which operate in a stable periodic regime far away from chaotic behavior with deterministic parameter. It is found that when the parameter perturbations are weak, chaos is absent in power systems. With the intensity of random parameter \(\rho \) increasing, power systems become unstable and fall into chaos as \(\rho \) is further increased. These phenomena imply that random parameter can induce and enhance chaos in power systems. Our results may provide a useful tip for understanding power systems’ security operation.