Modeling PWM DC-to-DC power converters using graphs

In this paper, we illustrate, through examples, a novel graph-based modeling technique of two-state (on-off) PWM power converters. Differential equations of power converters are derived by inspection, based on two incident matrices, β(u) and J(u). We associate to each circuit (on, u = 1, or off, u =...

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Published in2017 IEEE 60th International Midwest Symposium on Circuits and Systems (MWSCAS) pp. 464 - 467
Main Authors Marquez, Richard, Contreras-Ordaz, Marco Antonio, Carrasco-Pacheco, Jose Luis
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2017
Subjects
Capacitors
Computational modeling
Inductors
Integrated circuit modeling
Mathematical model
Matrix converters
Switches
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Summary:In this paper, we illustrate, through examples, a novel graph-based modeling technique of two-state (on-off) PWM power converters. Differential equations of power converters are derived by inspection, based on two incident matrices, β(u) and J(u). We associate to each circuit (on, u = 1, or off, u = 0, circuits) a digraph and identify current loops (inductor-capacitor, voltage source-inductor, current source-capacitor). Effectively, β(u) and J(u) represents, resp., the core of energy injection and energy transfers inside the converter. These digraphs and incident matrices serve to obtain also classical dual models, evaluate semiconductor stresses, compute models for power converters with multiple states (active independent switches), and synthesize DC-to-DC power converters.
ISSN:1558-3899
DOI:10.1109/MWSCAS.2017.8052960