Arnold diffusion in a particular multi-machine power system

Numerical illustrations of Arnold diffusion for an example power system are presented using Hamiltonian formation. The existence of stochasticity and Arnold diffusion 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. Some analysis of the reason for Arnold diffusion and implication are also included