An analysis of power system transient stability using stochastic energy functions

This paper develops an approach to analyze the impact of stochasticity on the transient stability of a power system. The stochastic power system stability was analyzed both through the stochastic Lyapunov function and numerically using the Euler–Maruyama method. It was shown that increasing either (or both) the variance and the magnitude of the applied noise can have a destabilizing effect on the power system. This could potentially cause difficulties as more randomness is introduced into the power system through renewable energy sources and plug-in hybrid vehicles.