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
- 2018
3895.
Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Hybrid Finite--Difference/Pseudospectral Methods for the Heston and Heston--Hull--White Partial Differential Equations
Journal of Computational Finance, 21 (5)
20183894.
Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Hybrid finite-difference/pseudospectral methods for the Heston and Heston-Hull-White partial differential equations
Journal of Computational Finance, 21 (5) :1–33
2018
Herausgeber: Incisive Media3893.
Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Hybrid finite-difference/pseudospectral methods for the Heston and Heston-Hull-White partial differential equations
Journal of Computational Finance, 21 (5) :1–33
2018
Herausgeber: Incisive Media3892.
Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Hybrid finite-difference/pseudospectral methods for the Heston and Heston-Hull-White partial differential equations
Journal of Computational Finance, 21 (5) :1–33
2018
Herausgeber: Incisive Media3891.
Pulch, R.; Putek, P.; de Gersem, H.; Gillon, R.
Identification of probabilistic input data for a glue-die-package problem
In Quintela, P. and Barral, P. and Gómez, D. and Pena, F.J. and Rodríguez, J. and Salgado, P. and Vázquez-Mendéz, M.E., Editor, Progress in Industrial Mathematics at ECMI 2016 aus Mathematics in Industry
Seite 255--262
Herausgeber: Springer,
2018
255--2623890.
Gomes, Ricardo J.; Guerreiro, Andreia P.; Kuhn, Tobias; Paquete, Luís
Implicit enumeration strategies for the hypervolume subset selection problem
Computers & Operations Research, 100 :244 - 253
20183889.
Jacob, Birgit; Nabiullin, Robert; Partington, Jonathan R.; Schwenninger, Felix L.
Infinite-dimensional input-to-state stability and {O}rlicz spaces
SIAM J. Control Optim., 56 (2) :868--889
20183888.
Jacob, Birgit; Nabiullin, Robert; Partington, Jonathan R.; Schwenninger, Felix L.
Infinite-dimensional input-to-state stability and Orlicz spaces
SIAM J. Control Optim., 56 (2) :868--889
20183887.
Kienitz, J.; Caspers, P.
Interest Rate Derivatives Explained: Volume 2 Term Structure and Volatility Modelling
Herausgeber: Palgrave McMillan
20183886.
Budde, Christian; Farkas, Bálint
Intermediate and extrapolated spaces for bi-continuous operator semigroups
Journal of Evolution Equations, 19 (2) :321-359
20183885.
Pulch, R.; Putek, P.; E.J.W. ; Schoenmaker, W.
IX: Uncertainty Quantification: Introduction and Implementations
In ter Maten, E. J. W. and Brachtendorf H., G. and Pulch, R. and Schoenmaker, W., Editor, Nanoelectronic Coupled Problems Solutions
Seite 195-216
Herausgeber: Springer
2018
195-2163884.
Bohrmann-Linde, Claudia; Krüger, J.; Schneiderhahn, K.
Lehrerband zu Chemie 1 (Baden-Württemberg)
Herausgeber: C.C.Buchner, Bamberg
20183883.
Bohrmann-Linde, Claudia; Kröger, Simone; Siehr, I.
Lehrerband zu Chemie 2 (Berlin/Brandenburg)
Herausgeber: C.C.Buchner, Bamberg
20183882.
[english] Hoffmann, Heiko; Tausch, Michael W.
Low-Cost Equipment for Photochemical Reactions
Journal of Chemical Education, 95 (12) :2289--2292
2018
Herausgeber: American Chemical Society ({ACS})3881.
Beckermann, Bernhard; Kressner, Daniel; Schweitzer, Marcel
Low-rank updates of matrix functions
SIAM J. Matrix Anal. Appl., 39 (1) :539-565
20183880.
Beckermann, Bernhard; Kressner, Daniel; Schweitzer, Marcel
Low-rank updates of matrix functions
SIAM J. Matrix Anal. Appl., 39 (1) :539-565
20183879.
Beckermann, Bernhard; Kressner, Daniel; Schweitzer, Marcel
Low-rank updates of matrix functions
SIAM J. Matrix Anal. Appl., 39 (1) :539-565
20183878.
Gerlach, Moritz; Glück, Jochen
Lower bounds and the asymptotic behaviour of positive operator semigroups
Ergodic Theory Dynam. Systems, 38 (8) :3012--3041
20183877.
Tausch, Michael W.
Mehr Licht im Chemieunterricht! Experimentelle Zugänge zu Grundkonzepten der Photochemie
{CHIMIA} International Journal for Chemistry, 72 (1) :23--26
2018
Herausgeber: Swiss Chemical Society3876.
Kaminski, Martin
Methodenentwicklung einer Quarzrohrofenpyrolyse von Mikroplastik und Anreicherung der Produkte in Tenax® mit anschließender GCxGC-MS-Analytik
20183875.
Bolten, Matthias; Kahl, K.; Kressner, D.; Macedo, F.; Sokolović, S.
Multigrid methods combined with low-rank approximation for tensor-structured Markov chains
Electron. Trans. Numer. Anal., 48 :348-361
20183874.
Bolten, M.; Kahl, K.; Kressner, D.; Macedo, F.; Sokolović, S.
Multigrid methods combined with low-rank approximation for tensor-structured Markov chains
Electron. Trans. Numer. Anal., 48 :348-361
20183873.
Bolten, M.; Kahl, K.; Kressner, D.; Macedo, F.; Sokolović, S.
Multigrid methods combined with low-rank approximation for tensor-structured Markov chains
Electron. Trans. Numer. Anal., 48 :348--361
20183872.
Hachtel, Christoph; Kerler-Back, Johanna; Bartel, Andreas; Günther, Michael; Stykel, Tatjana
Multirate {DAE}/{ODE}-simulation and model order reduction for coupled field-circuit systems
Scientific Computing in Electrical Engineering: SCEE 2016, St. Wolfgang, Austria, October 2016, Seite 91--100
Springer International Publishing
Herausgeber: Springer International Publishing
20183871.
Hachtel, Christoph; Kerler-Back, Johanna; Bartel, Andreas; Günther, Michael; Stykel, Tatjana
Multirate DAE/ODE-simulation and model order reduction for coupled field-circuit systems
Scientific Computing in Electrical Engineering: SCEE 2016, St. Wolfgang, Austria, October 2016, Seite 91--100
Springer International Publishing
2018