Computational Magnetics
Many electro-technical devices such as e.g. printed circuit boards, electrical drives and antenna systems can be simulated on the basis of electrical circuits. However, the increasing frequencies and the decreasing size force designers to account for wave propagation effects, eddy-current effects, ferromagnetic saturation and hysteresis. For wave propagation effects and eddy-current effects, the results of stand-alone field simulation can be represented by an order-reduced equivalent model, which is then inserted in the overall circuit model. The representation of field-dependent nonlinearities and hysteresis effects, however, is not straightforward.

2D Simulation of a Transformer
The coupled field and circuit simulation becomes troublesome when a large number of time steps is required. This occurs when e.g. simulating an electrical drive where the machine requires 10 periods of 50 Hz to reach nominal speed whereas the switching of the Insulated Gate Bipolar Transistors in the frequency converter switches at 20 kHz, necessitating a time steps in the order of a microsecond to be used in the simulation. Since the field model consists typically of a few million degrees of freedom, all those unknowns have to be solved in every time step. Fortunately, the relevant time constants in electrical-energy converter are in the range 50 Hz. Hence the field model does not have to be time-stepped at the same rate as the circuit model, in which fast switches are present. The use of adaptive multirate time-integration schemes can reduce the numerical complexity of the problem substantially.
Research Questions
- Efficiency of the time-integration for field devices in pulsed circuits (multirate, dynamic iteration)
- DAE-index of the coupled system
- Existence and Uniqueness of the solution
Cooperation
- Herbert De Gersem, Katholieke Universiteit Leuven
- Markus Clemens, Bergische Universität Wuppertal
- Sascha Baumanns, Universität zu Köln
Former and ongoing projects
Publications
- 2022
4891.
Jacob, Birgit; Schwenninger, Felix; Wintermayr, Jens
A refinement of Boillon's theorem on maximal regularity
Studia Math., 263 (2) :141-158
20224890.
Heyden, von der, Lisa; Wissdorf, Walter; Kurtenbach, Ralf; Kleffmann, Jörg
A relaxed eddy accumulation (REA) LOPAP system for flux measurements of nitrous acid (HONO)
Atmospheric Measurement Techniques, 15 (6) :1983--2000
März 2022
ISSN: 1867-85484889.
Abreu, Pedro; others
A Search for Photons with Energies Above 2 x 10^{17} eV Using Hybrid Data from the Low-Energy Extensions of the Pierre Auger Observatory
Astrophys. J., 933 (2) :125
20224888.
Glück, Jochen; Roth, Stefan; Spodarev, Evgeny
A solution to a linear integral equation with an application to statistics of infinitely divisible moving averages
Scand. J. Stat. :30 pages
20224887.
Villena, Guillermo; Kleffmann, Jörg
A source for the continuous generation of pure and quantifiable HONO mixtures
Atmospheric Measurement Techniques, 15 (3) :627--637
Februar 2022
ISSN: 1867-85484886.
Voss C., Janoske U.
A surrogate approach to rapidly predict particle collection on single fiber using computational fluid dynamics and machine learning
Machine Learning und Artificial Intelligence in Strömungsmechanik und Strukturanalyse
Herausgeber: NAFEMS
Mai 20224885.
Bolten, M.; Donatelli, M.; Ferrari, P.; Furci, I.
A symbol based analysis for multigrid methods for block-circulant and block-Toeplitz Systems
SIAM J. Matrix Anal. Appl., 43 (1) :405-438
20224884.
Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella
A symbol-based analysis for multigrid methods for block-circulant and block-Toeplitz systems
SIAM J. Matrix Anal. Appl., 43 (1) :405-438
2022
ISSN: 0895-47984883.
Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella
A symbol-based analysis for multigrid methods for block-circulant and block-Toeplitz systems
SIAM J. Matrix Anal. Appl., 43 (1) :405-438
2022
ISSN: 0895-47984882.
Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A two-dimensional port-Hamiltonian model for coupled heat transfer
Mathematics, 10 (24) :4635
2022
Herausgeber: MDPI4881.
Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A two-dimensional port-Hamiltonian model for coupled heat transfer
Mathematics, 10 (24) :4635
2022
Herausgeber: MDPI4880.
Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A two-dimensional port-Hamiltonian model for coupled heat transfer
Mathematics, 10 (24) :4635
2022
Herausgeber: MDPI4879.
Jäschke, Jens; Ehrhardt, M.; Günther, M.; Jacob, Birgit
A Two-Dimensional Port-Hamiltonian Model for Coupled Heat Transfer
Mathematics, 10(24) :4635
20224878.
Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A Two-Dimensional Port-Hamiltonian Model for Coupled Heat Transfer
Mathematics, 10 (24) :4635
2022
Herausgeber: MDPI4877.
Yoda, R.; Bolten, Matthias; Nakajima, K.; Fujii, A.
Acceleration of optimized coarse-grid operators by spatial redistribution for multigrid reduction in time
In Groen, Derek and de Mulatier, Clelia and Paszynski, Maciej and Krzhizhanovskaya, Valeria V. and Dongarra, Jack J. and Sloot, Peter M. A., Editor, Computational Science - ICCS 2022, Seite 214-221
In Groen, Derek and de Mulatier, Clelia and Paszynski, Maciej and Krzhizhanovskaya, Valeria V. and Dongarra, Jack J. and Sloot, Peter M. A., Editor
Herausgeber: Springer International Publishing, Cham
20224876.
Yoda, R.; Bolten, M.; Nakajima, K.; Fujii, A.
Acceleration of optimized coarse-grid operators by spatial redistribution for multigrid reduction in time
In Groen, Derek and de Mulatier, Clelia and Paszynski, Maciej and Krzhizhanovskaya, Valeria V. and Dongarra, Jack J. and Sloot, Peter M. A., Editor, Computational Science - ICCS 2022, Seite 214-221
In Groen, Derek and de Mulatier, Clelia and Paszynski, Maciej and Krzhizhanovskaya, Valeria V. and Dongarra, Jack J. and Sloot, Peter M. A., Editor
Herausgeber: Springer International Publishing, Cham
20224875.
Ehrhardt, Matthias
An efficient second-order method for the linearized Benjamin-Bona-Mahony equation with artificial boundary conditions
Preprint IMACM
2022
Herausgeber: Bergische Universität Wuppertal4874.
Ehrhardt, Matthias
An efficient second-order method for the linearized Benjamin-Bona-Mahony equation with artificial boundary conditions
Preprint IMACM
2022
Herausgeber: Bergische Universität Wuppertal4873.
Ehrhardt, Matthias
An efficient second-order method for the linearized Benjamin-Bona-Mahony equation with artificial boundary conditions
20224872.
Arora, Sahiba; Glück, Jochen
An operator theoretic approach to uniform (anti-)maximum principles
J. Differential Equations, 310 :164--197
20224871.
4870.
Schneider, Lukas; Kaul, Matthias; Braschke, Kamil; Eilts, Peter; Schmidt, Eberhard; Janoske, Uwe
Ash Behaviour in Wall-Flow Filters
In Bargende, Michael and Reuss, Hans-Christian and Wagner, Andreas, Editor, 22. Internationales Stuttgarter Symposium, Seite 629--646
In Bargende, Michael and Reuss, Hans-Christian and Wagner, Andreas, Editor
Herausgeber: Springer Fachmedien Wiesbaden, Wiesbaden
2022ISBN: 978-3-658-37009-1
4869.
Yoda, R.; Bolten, M.; Nakajima, K.; Fujii, A.
Assignment of idle processors to spatial redistributed domains on coarse levels in multigrid reduction in time
Proceedings of the International Conference on High Performance Computing in Asia-Pacific Region, Seite (accepted)
20224868.
Yoda, R.; Bolten, Matthias; Nakajima, K.; Fujii, A.
Assignment of idle processors to spatial redistributed domains on coarse levels in multigrid reduction in time
Proceedings of the International Conference on High Performance Computing in Asia-Pacific Region, Seite 41-51
20224867.
Yoda, R.; Bolten, M.; Nakajima, K.; Fujii, A.
Assignment of idle processors to spatial redistributed domains on coarse levels in multigrid reduction in time
Proceedings of the International Conference on High Performance Computing in Asia-Pacific Region, Seite 41-51
2022