Abstract
This chapter presents a systematic method to describe a large class of switched-mode power converters within the Brayton–Moser (BM) framework, a framework that has proven to be useful for analysis and control purposes. The approach forms an alternative to the switched Lagrangian and (port-)Hamiltonian formulations. The proposed methodology allows for the inclusion of often encountered devices like diodes, nonlinear (multi-port) resistors, and equivalent series resistors, a feature that does not seem feasible in the switched Lagrangian formulation. Additionally, and besides the fact that the BM equations allow for almost any type of nonlinear resistor, the framework constitutes a practical advantage since in most control applications the usual measured quantities are voltages and currents—instead of fluxes and charges as with the Lagrangian or (port-)Hamiltonian approaches. The application of the proposed framework to stability analysis, new passivity properties and control is briefly highlighted.
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