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”, “Čuk” and “Flyback” converters. We follow the approach proposed by van...

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Bibliographic Details
Published in:Automatica (Oxford) 1999-03, Vol.35 (3), p.445-452
Main Authors: Escobar, Gerardo, van der Schaft, Arjan J., Ortega, Romeo
Format: Article
Language:English
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Summary: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”, “Čuk” 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.
ISSN:0005-1098
1873-2836
DOI:10.1016/S0005-1098(98)00196-4