Discretization of Models for Electrical Microgrids Preserving Passivity Properties

This paper presents a Hamiltonian model of a direct current microgrid consisting of rectifiers connected in parallel in closed-loop with a Droop-type power-sharing algorithm. The main contribution is to demonstrate that a discretization using the backward Euler method preserves the microgrid’s Hamiltonian structure and passivity properties with a simple implementation of the method. The results are numerically evaluated by comparing the backward and forward Euler methods.