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.
- Power circuits
- Hybrid modes
Escobar, G., van der Schaft, A., & Ortega, R. (1999). A Hamiltonian viewpoint in the modelling of switching power converters, Special Issue on Hybrid Systems. Automatica, 35(3), 445-452. https://doi.org/10.1016/S0005-1098(98)00196-4