Existence of the attractor and numerical analysis for the fractional-order Lü et al power system

Voltage collapse dynamics has been modeled by the movement of the system state along a particular trajectory at a saddle node bifurcation. In this paper, appling this voltage collapse model to a simple 3-bus power system model, we will establish the dynamic behaviors of fractional-order Lü et al system based on the stability theory of fractional-order systems, some sufficient conditions are given. Numerical simulations are shown to verify the result and the theoretical analysis.