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Parallel-in-Time Simulation of Power Converters Using Multirate PDEs

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Scientific Computing in Electrical Engineering

Part of the book series: Mathematics in Industry ((TECMI,volume 36))

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Abstract

This paper presents a numerical algorithm for the simulation of pulse-width modulated power converters via parallelization in time domain. The method applies the multirate partial differential equation approach on the coarse grid of the (two-grid) parallel-in-time algorithm Parareal. Performance of the proposed approach is illustrated via its application to a DC-DC converter.

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Acknowledgements

The authors thank Ruth Vazquez Sabariego from KU Leuven for many fruitful discussions on the MPDE approach. This research was supported by the Graduate School CE within the Centre for Computational Engineering at Technische Universität Darmstadt, as well as by DFG grant SCHO1562/1-2 and BMBF grant 05M2018RDA.

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Correspondence to Iryna Kulchytska-Ruchka .

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Pels, A., Kulchytska-Ruchka, I., Schöps, S. (2021). Parallel-in-Time Simulation of Power Converters Using Multirate PDEs. In: van Beurden, M., Budko, N., Schilders, W. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry(), vol 36. Springer, Cham. https://doi.org/10.1007/978-3-030-84238-3_4

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