A Hamiltonian viewpoint in the modelling of switching power converters, Special Issue on Hybrid Systems

Gerardo Escobar, Arjan van der Schaft, Romeo Ortega

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    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.
    Original languageEnglish
    Pages (from-to)445-452
    Number of pages8
    Issue number3
    Publication statusPublished - 1999


    • Power circuits
    • Modeling
    • Converters
    • Hybrid modes

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