Homotopic Approach for the Simulation of DC-DC Power Electronic Converters

Guillermo Leon Gallo-Hernandez, Hector Vazquez-Leal, Victor Manuel Jimenez-Fernandez, Gustavo A. Osorio, Fabiola Angulo, Jose Alfredo Martinez-Melchor


This paper presents three homotopic methods to determine the suitable topology to be simulated in DC-DC power electronic converters. One of the proposed methods is based on Newton and hyperspheres tracking, by using the canonical piecewise-linear model of Chua-Kang to represent the characteristic curve of the diodes. The others two homotopic methods are based on fixed point and Newton with uniform variation of the homotopic parameter, by using hybrid diode models. Numerical simulations via MATLAB were compared with the results obtained from PLECS, and a good agreement was found between both simulation alternatives.


homotopy; power converter; event-driven simulation; hybrid system

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DOI: http://dx.doi.org/10.21914/anziamj.v60i0.13250

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.