A Hamiltonian viewpoint in the modeling of switching power converters


Escobar, Gerardo and Schaft, Arjan J. van der and Ortega, Romeo (1999) A Hamiltonian viewpoint in the modeling of switching power converters. Automatica, 35 (3). pp. 445-452. ISSN 0005-1098

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Abstract: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”, “ uk” 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.
Item Type:Article
Copyright:© 1999 Elsevier
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/74169
Official URL:https://doi.org/10.1016/S0005-1098(98)00196-4
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