Studying Chaos in Power System Under Load Perturbation and Bounded Noise

In this paper, chaotic responses of power system under load perturbation and bounded noise excitation is investigated by theoretical analysis and numerical simulations. The Melnikov method is applied to obtain the necessary condition for the rising of chaos. It is found that for the deterministic system when the strength of load perturbation is greater than a threshold, the Smale´s chaos in power system occurs. More significantly, it is found that with random bounded noise the threshold of load perturbation for the onset of chaos is reduced, that is, bounded noise will make it easier to induce and enhance chaos in power system, which is further verified by the maximal Lyapunov exponents of the system. Our results may provide a useful tip for understanding power system´s security operation.