A Hamiltonian viewpoint in the modeling of switching power converters

In this paper we show how, using the Hamiltonian formalism, we can systematically derive mathematical models that describe the behaviour of a large class of switching power converters, including the "Boost", "Buck", "Buck-Boost", "Cuk" and "Flyback" converters. We follow the approach proposed by van der Schaft and Maschke and extract from the basic (energy-conserving) LC-circuit the remaining elements, i.e., resistors, switches, diodes and transformers, which we treat as external ports. This method naturally yields a Hamiltonian system with two additional conjugated sets of port variables. This procedure, besides being systematic and very general, has the additional advantage of resulting in equations of a form appropriate for simulation and design of the highly succesful passivity-based controllers. (C) 1999 Elsevier Science Ltd. All rights reserved.