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Efficient Simulation of DC-DC Switch-Mode Power Converters by Multirate Partial Differential Equations

par Pels, Andreas;Gyselinck, Johan ;Sabariego, Ruth;Schops, Sebastian
Référence IEEE Journal on Multiscale and Multiphysics Computational Techniques, 4, page (64-75), 8603809
Publication Publié, 2019

Article révisé par les pairs

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Résumé :

In this paper, multirate partial differential equations (MPDEs) are used for the efficient simulation of problems with two-level pulsed excitations as they often occur in power electronics, e.g., dc-dc switch-mode converters. The differential equations describing the problem are reformulated as MPDEs, which are solved by a Galerkin approach and time discretization. For the solution expansion, two types of basis functions (BFs) are proposed, namely classical finite-element nodal BFs and the recently introduced excitation-specific pulsewidth modulation BFs. The new method is applied to the example of a buck converter. Convergence, accuracy of the solution, and computational efficiency of the method are numerically analyzed.