Chaotic motion and diffusion in a power system

Abstract

This paper describes for the first time the chaotic motion and diffusion for an example multi-machine power system using Hamiltonian formation. The existence of chaotic motion under some conditions is confirmed by the calculation of maximum Lyapunov exponents. It is revealed numerically that the random-like motion of Arnold diffusion can carry the system state arbitrarily close to any region of the phase space consistent with energy conservation while the ordinary chaos is only inhabited in a specific region of the whole phase space. A brief analysis of the reason for diffusion is also included.