An Effect Study of Random Disturbances on Attractive Region Boundary of Chaotic Attractors in Wind Power Systems

The stochasticity of wind-based power generation systems brings new challenges to power systems. The stochasticity can be regarded as an external disturbance, which will have an impact on the wind-based power generation systems. The attractive region boundary of the system chaotic attractor is first found by plotting the phase diagram and time domain graph. The effect of random disturbances on the attractive region boundary of chaotic attractors is explored by plotting the attractive region boundary under different disturbances. As the level of disturbance increases, the attractive region boundary of the system chaotic attractor moves towards the interior of the attractive region and the attractive region becomes smaller. This finding provides guidance on how to keep the system stable under random disturbances. A foundation is laid for further investigation of the effects of random disturbances on wind power systems.