# Andreas PelsM.Sc.

+49 6151 16-24414
+49 6151 16-24027

Schlossgartenstr. 8

Raum: S2|17 31

## Arbeitsgebiet(e)

• Multirate Simulations using Time-Domain Finite Element Methods

## Mehr Informationen

The efficient energy conversion between different voltage levels is an essential part of today's energy supply. In recent years electronic power conversion has become more and more important. Examples can be found in many household appliances (e.g., mobile phone charging, computer power supply), regenerative energies (e.g., wind, photovoltaic), transportation (e.g., electric vehicles, trains), and industrial applications (e.g., welding, induction heating). The conversion is accomplished using power electronics (e.g., buck converters, inverters) instead of conventional transformers. These devices are cheap in production, light in weight, require little space and are easily controllable if a compensation of changing load is necessary. Electronic power converters use transistors to switch on and off the DC input voltage to obtain in average the desired output voltage at the output of the converter. Filters, mostly passive low-pass filters, are used to smoothen the output voltage. To obtain a well designed power converter in terms of efficiency, computer simulations are a reliable tool. Time stepping algorithms are often used to solve the differential equations describing the converters. If simplifications are used, e.g., ideal transistors and diodes, the algorithm needs to be equipped with an additional switch event detection. Since the switching frequency of modern converters can be very high, i.e., up into the MHz range, this conventional time stepping is inefficient since every switching event has to be resolved to guarantee a reasonable accuracy. This research focuses on developing a more efficient means to simulate power converters. A mathematical concept called Multirate Partial Differential Equations (MPDEs) is used. It allows to split the solution into components of different rates. These components evolve along different artificial time scales. The MPDEs are solved using two methods namely a Ritz-Galerkin approach combined with a conventional time stepping. Speedups in computation time of up to 1000 could be observed so far.

## GnuPG Public Key

2404 AD21 5AB4 0E52 53DE  5330 0CB1 E4A3 865B 9FAA

## Publications

 Exportieren als ASCII CitationBibTeXDublin CoreEP3 XMLEndNoteHTML CitationJSONMultiline CSVObject IDsRDF+XMLReference ManagerT2T_XML
Gruppiere nach: Publikationsjahr | Typ des Eintrags | Keine Gruppierung
Springe zu: 2019 | 2018 | 2017 | 2016 | 2015
Anzahl der Einträge: 19.

## 2019

Pels, Andreas ; Sabariego, Ruth V. ; Schöps, Sebastian (2019):
Efficient simulation of DC-AC power converters using multirate partial differential equations.
In: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, S. e2683, ISSN 1099-1204, DOI: 10.1002/jnm.2683,
[Online-Edition: https://onlinelibrary.wiley.com/doi/abs/10.1002/jnm.2683],
[Artikel]

Pels, Andreas ; De Gersem, Herbert ; Sabariego, Ruth V. ; Schöps, Sebastian (2019):
Multirate PWM balance method for the efficient field-circuit coupled simulation of power converters.
9, In: Journal of Mathematics in Industry, (8), Springer, S. 1-12, ISSN 2190-5983, DOI: 10.1186/s13362-019-0065-8,
[Online-Edition: https://doi.org/10.1186/s13362-019-0065-8],
[Artikel]

Pels, Andreas ; Schöps, Sebastian ; Wolf, Felix (2019):
Octave, Füchse und Pinguine — Numerische Mathematik mit dem Rechenprogramm Octave.
15, In: c't, S. 146-152, [Online-Edition: http://ct.de/yzsc],
[Artikel]

Pels, Andreas ; De Gersem, Herbert ; Sabariego, Ruth V. ; Schöps, Sebastian Ren, Zhuoxiang (Hrsg.) (2019):
Efficient power converter simulation using transformed PWM basis functions with field-circuit coupling.
In: 22th Conference on the Computation of Electromagnetic Fields, Paris, France, [Online-Edition: http://www.compumag2019.com],
[Konferenzveröffentlichung]

Pels, Andreas ; Gyselinck, Johan ; Sabariego, Ruth V. ; Schöps, Sebastian (2019):
Efficient simulation of DC-DC switch-mode power converters by multirate partial differential equations.
4, In: IEEE Journal on Multiscale and Multiphysics Computational Techniques, (1), S. 64-75, ISSN 2379-8793, DOI: 10.1109/JMMCT.2018.2888900,
[Online-Edition: https://doi.org/10.1109/JMMCT.2018.2888900],
[Artikel]

Pels, Andreas ; De Gersem, Herbert ; Sabariego, Ruth V. ; Schöps, Sebastian (2019):
Multirate PWM balance method for the efficient field-circuit coupled simulation of power converters.
In: Journal of Mathematics in Industry, 9, (1), Springer Open, e-ISSN 2190-5983, DOI: 10.25534/tuprints-00009671,
[Artikel]

## 2018

Pels, Andreas ; Sabariego, Ruth V. ; Schöps, Sebastian (2018):
Efficient simulation of DC-AC converters using Multirate Partial Differential Equations.
Maxwell in Motion, In: Workshop on Advances in Electromagnetic Research — KWT 2018, Rietzlern, Austria, [Online-Edition: http://maxwell-in-motion.org],
[Konferenzveröffentlichung]

Pels, Andreas ; Bundschuh, Jonas ; Skär, Eric ; De Gersem, Herbert ; Sabariego, Ruth V. ; Schöps, Sebastian Napieralska, Ewa ; Lecointe, Jean-Philippe (Hrsg.) (2018):
A new Basis for the Efficient Simulation of Switch-mode Power Converters Using Multirate Partial Differential Equations.
Arras, France, Poznań, PTETiS Publishers, In: XXV Symposium Electromagnetic Phenomena in Nonlinear Circuits — Proceedings EPNC 2018, Arras, France, [Online-Edition: http://epnc2018.albedo03.eu/pdf/194671.pdf],
[Konferenzveröffentlichung]

Pels, Andreas ; Sabariego, Ruth V. ; Schöps, Sebastian (2018):
On the choice of basis functions for the efficient simulation of nonlinear problems with pulsed excitation using multirate partial differential equations.
In: 11th International Symposium on Electric and Magnetic Fields (EMF 2018), [Online-Edition: http://aimontefiore.org/emf2018/],
[Konferenzveröffentlichung]

Pels, Andreas ; Schöps, Sebastian ; Sabariego, Ruth V. (2018):
Simulation of voltage regulated switch-mode power converters using multirate partial differential equations.
In: IEEE Young Researchers Symposium 2018, [Online-Edition: http://yrs2018.ulb.be],
[Konferenzveröffentlichung]

Pels, Andreas ; Gyselinck, Johan ; Sabariego, Ruth V. ; Schöps, Sebastian (2018):
Solving nonlinear circuits with pulsed excitation by multirate partial differential equations.
54, In: IEEE Transactions on Magnetics, (3), ISSN 0018-9464, DOI: 10.1109/TMAG.2017.2759701,
[Online-Edition: https://doi.org/10.1109/TMAG.2017.2759701],
[Artikel]

## 2017

Bontinck, Zeger ; Corno, Jacopo ; Gersem, Herbert De ; Kurz, Stefan ; Pels, Andreas ; Schöps, Sebastian ; Wolf, Felix ; de Falco, Carlo ; Dölz, Jürgen ; Vázquez, Rafael ; Römer, Ulrich (2017):
Recent Advances of Isogeometric Analysis in Computational Electromagnetics.
[Artikel]

Pels, Andreas ; Gyselinck, Johan ; Sabariego, Ruth V. ; Schöps, Sebastian Slodička, Marián ; Bockstal, Karel Van (Hrsg.) (2017):
Multirate Partial Differential Equations for the solution of field-circuit coupled problems.
Ghent, Belgium, In: ACOMEN 2017, Ghent, Belgium, [Online-Edition: http://www.acomen.ugent.be],
[Konferenzveröffentlichung]

Pels, Andreas ; Sabariego, Ruth V. ; Schöps, Sebastian (2017):
Nonlinear Multirate Partial Differential Equations for Pulsed Excitations.
In: Workshop on Advances in Electromagnetic Research — KWT 2017, [Konferenzveröffentlichung]

Pels, Andreas ; Gyselinck, Johan ; Sabariego, Ruth V. ; Schöps, Sebastian Jung, Hyun-Kyo (Hrsg.) (2017):
Solving nonlinear circuits with pulsed excitation by multirate partial differential equations.
Daejeon, Korea, In: 21th Conference on the Computation of Electromagnetic Fields, Daejeon, Korea, [Online-Edition: http://www.compumag2017.com],
[Konferenzveröffentlichung]

## 2016

Pels, Andreas ; Sabariego, Ruth V. ; Schöps, Sebastian (2016):
Solving Multirate Partial Differential Equations using hat Finite Element basis functions.
In: Proceedings of 17th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2016), [Online-Edition: http://cefc2016.org],
[Konferenzveröffentlichung]

Pels, Andreas ; Sabariego, Ruth V. ; Schöps, Sebastian (2016):
Multirate Partial Differential Equations for Pulsed Excitations.
In: 11th Conference on Scientific Computing in Electrical Engineering (SCEE 2016), [Online-Edition: http://www.ricam.oeaw.ac.at/events/conferences/scee2016],
[Konferenzveröffentlichung]

## 2015

Corno, Jacopo ; Pels, Andreas ; de Falco, Carlo ; Schöps, Sebastian Fichte, Lars Ole (Hrsg.) (2015):
On the Use of Isogeometric Analysis in Electrical Engineering.
Miltenberg, In: URSI Kleinheubacher Tagung (KHB 2015), Miltenberg, S. 68, [Online-Edition: https://www.kh2015.de],
[Konferenzveröffentlichung]

Pels, Andreas ; Bontinck, Zeger ; Corno, Jacopo ; De Gersem, Herbert ; Schöps, Sebastian (2015):
Optimization of a Stern-Gerlach Magnet by Magnetic Field-Circuit Coupling and Isogeometric Analysis.
51, In: IEEE Transactions on Magnetics, (12), [Online-Edition: http://dx.doi.org/10.1109/TMAG.2015.2462806],
[Artikel]

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