Dissipative Hamiltonian Realization of Multi-machine Multi-load Power Systems

Abstract

Port-controlled Hamiltonian system method is very useful in the performance enhancement control of power systems, of which the key step is to model the power system as a dissipative Hamiltonian system, i.e., to complete the dissipative Hamiltonian realization (DHR). This paper proposes a DHR for multi-machine multi-load power systems based on a novel DHR structure for nonlinear differential algebraic systems, with which we derive a sufficient condition for the existence and construction of DHRs with constant structure matrices. An example shows that the proposed DHR can facilitate the excitation controller design of power systems.