Multiple Lyapunov functions analysis of hybrid power systems with discrete event actions

In this paper, the authors develop multiple Lyapunov functions for hybrid power systems which have generators and dynamic reactive loads. They first introduce the model of hybrid power systems, and then construct multiple Lyapunov functions. They use Lyapunov functions theory as a tool to analyze the stability of hybrid power systems. Finally, they give an example of a hybrid power system with a tap changing transformer, and simulate and analyze the multiple Lyapunov functions switching stability when tap discrete actions occur. They also simulate and analyze limit cycle phenomena due to system parameter altering.