Hamiltonian Viewpoint in the Modelling of Switching Power Converters

摘要

In this paper the authors show how, using the Hamiltonian formalism, they can211u001esystematically derive mathematical models that describe the behavior of a large 211u001eclass of switching power converters. The authors follow the approach proposed by 211u001evan der Schaft and Maschke and extract from the basic (energy-conserving) LC-211u001ecircuit the remaining elements, i.e., resistors, switches, diodes and 211u001etransformers, which the authors treat as external ports. This method naturally 211u001eyields a Hamiltonian system with two additional conjugated sets of port 211u001evariables. This procedure, besides being systematic and very general, has the 211u001eadditional advantage of resulting in equations of a form appropriate for 211u001esimulation and design of the highly successful passivity-based controllers.