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
- 2019
4017.
Ehrhardt, Matthias
Transparent nonlinear networks
Physical Review E, 100 (3) :032204
2019
Herausgeber: American Physical Society4016.
Ehrhardt, Matthias
Transparent nonlinear networks
Physical Review E, 100 (3) :032204
2019
Herausgeber: American Physical Society4015.
Ehrhardt, Matthias
Transparent nonlinear networks
Physical Review E, 100 (3) :032204
2019
Herausgeber: American Physical Society4014.
Ehrhardt, Matthias
Transparent quantum graphs
Physics Letters A, 383 (20) :2382–2388
2019
Herausgeber: North-Holland4013.
Ehrhardt, Matthias
Transparent quantum graphs
Physics Letters A, 383 (20) :2382--2388
2019
Herausgeber: North-Holland4012.
Ehrhardt, Matthias
Transparent quantum graphs
Physics Letters A, 383 (20) :2382–2388
2019
Herausgeber: North-Holland4011.
Pulch, Roland; Putek, Piotr; Maten, E. Jan W.; Schoenmaker, Wim
Uncertainty quantification: Introduction and implementations
In ter Maten, E. Jan W. and Brachtendorf, Hans-Georg and Pulch, Roland and Schoenmaker, Wim and De Gersem, Herbert, Editor aus Mathematics in Industry
Seite 197–221
Herausgeber: Springer Cham
2019
197–2214010.
Netzel, Katrin
Untersuchung von Lignin aus Papierabwässern mittels Py-GCxGC/TOF-MS und Ofenpyrolyse
20194009.
Karg, Patrick
Untersuchung zu Imid-Amid-Gleichgewichten bei Hydroxycarbonsäure-Amiden
20194008.
Rapp, Ulrike
Untersuchung zur Quantifizierung von Mikroplastik mittels offline-Py-GCxGC-MS
20194007.
Otte, Adrian
Untersuchungen von Holzproben aus unterschiedlichen Holzschichten
20194006.
Goss, Jonas
Untersuchungen von Totholz nicht-heimischer Arten in Arnsberg sowie Totholz von Mammutbäumen in Kaldenkirchen
20194005.
Schlösser, Leonie Gwindy
Untersuchungen zur Gewässersanierung
20194004.
[german] Kremer, Richard; Tausch, Michael W.
Unterwegs zur künstlichen Photosynthese - Photokatalytische Reduktionen in Modellexperimenten
Chemie und Schule, 34 (3) :15-29
20194003.
Eichfelder, Gabriele; Klamroth, Kathrin; Niebling, Julia
Using a {B}&{B} algorithm from multiobjective optimization to solve constrained optimization problems
AIP Conference Proceedings 2070
Herausgeber: AIP Publishing
20194002.
Bolten, M.; Hahn, C.
Using composite finite elements for shape optimization with a stochastic objective functional
In I. Farag{\'o} and F. Izs{\'a}k and P. L. Simon, Editor, Progress in Industrial Mathematics at ECMI 2018Band30ausMathematics in Industry, Seite 515--520
In I. Farag{\'o} and F. Izs{\'a}k and P. L. Simon, Editor
Herausgeber: Springer, Cham
20194001.
Bolten, Matthias; Hahn, C.
Using composite finite elements for shape optimization with a stochastic objective functional
In I. Farago and F. Izsak and P. L. Simon, Editor, Progress in Industrial Mathematics at ECMI 2018Band30ausMathematics in Industry, Seite 515-520
In I. Farago and F. Izsak and P. L. Simon, Editor
Herausgeber: Springer, Cham
20194000.
Bolten, M.; Hahn, C.
Using composite finite elements for shape optimization with a stochastic objective functional
In I. Farago and F. Izsak and P. L. Simon, Editor, Progress in Industrial Mathematics at ECMI 2018Band30ausMathematics in Industry, Seite 515-520
In I. Farago and F. Izsak and P. L. Simon, Editor
Herausgeber: Springer, Cham
20193999.
Janssen, Rick; Gillon, Renaud; Wieers, Aarnout; Deleu, Frederik; Guegnaud, Hervé; Reynier, Pascal; Schoenmaker, Wim; Maten, E. Jan W.
Validation of simulation results on coupled problems
In ter Maten, E. Jan W. and Brachtendorf, Hans-Georg and Pulch, Roland and Schoenmaker, Wim and De Gersem, Herbert, Editor aus Mathematics in Industry
Seite 517–563
Herausgeber: Springer Cham
2019
517–5633998.
Adam, Ahmad Y.; Yachmenev, Andrey; Yurchenko, Sergey N.; Jensen, Per
Variationally Computed IR Line List for the Methyl Radical CH\(_{3}\)
The Journal of Physical Chemistry A, 123 (22) :4755-4763
2019
Herausgeber: American Chemical Society3997.
Adam, Ahmad Y.; Yachmenev, Andrey; Yurchenko, Sergey N.; Jensen, Per
Variationally Computed IR Line List for the Methyl Radical CH\(_{3}\)
The Journal of Physical Chemistry A, 123 (22) :4755-4763
2019
Herausgeber: American Chemical Society3996.
Adam, Ahmad Y.; Yachmenev, Andrey; Yurchenko, Sergey N.; Jensen, Per
Variationally Computed IR Line List for the Methyl Radical CH3
The Journal of Physical Chemistry A, 123 (22) :4755-4763
2019
Herausgeber: American Chemical Society3995.
Weichold, Cathrerine; Behler, Ansgar; Melchior, David; Busch, Stefan; Kling, Hans-Willi; Lange, Karsten; Jakob, Bernd
Verfahren zur Herstellung einer oberflächenaktiven Mischung umfassend Kondensationsprodukte von alpha-Hydroxycarbonsäuren mit 1,2-Alkandiolen
20193994.
Weichold, Cathrerine; Behler, Ansgar; Melchior, David; Busch, Stefan; Kling, Hans-Willi; Lange, Karsten; Jakob, Bernd
Verwendung von 1,2-Alkandiolen als Schaumverbesserer für Citronensäureestertenside umfassend ethoxylierte Alkohole
20193993.
Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail
Wasserstein convergence rates for random bit approximations of continuous Markov processes
Journal of Mathematical Analysis and Applications, 493 (2) :124543
2019
Herausgeber: Academic Press