Stabilization of switched nonlinear differential algebraic systems and application to power systems with OLTC

This paper investigates the stabilization of switched nonlinear differential algebraic systems and its application in power systems. First, we give some preliminary results on the dissipative Hamiltonian realization of switched nonlinear differential algebraic systems. Then, by using Hamiltonian functions of the relative subsystems as multiple Lyapunov functions, we propose some sufficient conditions for the stability and stabilization of dissipative switched nonlinear differential algebraic systems. The results is successfully applied to the stabilization of power systems connected with on-load tap changer(OLTC). With the assistant of the dissipative Hamiltonian realization of the considered power systems, we proposed a stabilization controller to improve the transient stability of the system. Simulation results verify the effectiveness of the proposed control scheme.