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
- 2017
3617.
[german] Zeller, Diana; Bohrmann-Linde, Claudia
Solarzellen ohne Silicium für den Chemieunterricht
Nachrichten aus der Chemie, 65 (12) :1236-1239
2017
Herausgeber: Wiley3616.
Düring, Bertram; Hendricks, Christian; Miles, James
Sparse Grid High-Order ADI Scheme for Option Pricing in Stochastic Volatility Models
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 295–312
Herausgeber: Springer Cham
2017
295–3123615.
Düring, Bertram; Hendricks, Christian; Miles, James
Sparse Grid High-Order ADI Scheme for Option Pricing in Stochastic Volatility Models
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 295–312
Herausgeber: Springer Cham
2017
295–3123614.
Düring, Bertram; Hendricks, Christian; Miles, James
Sparse Grid High-Order ADI Scheme for Option Pricing in Stochastic Volatility Models
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 295–312
Herausgeber: Springer Cham
2017
295–3123613.
Ehrhardt, Matthias; Ševčovič, Daniel
Stochastic and Computational Finance (Preface)
International Journal of Computer Mathematics, 94 (11) :2145–2146
2017
Herausgeber: Taylor & Francis3612.
Ehrhardt, Matthias; Ševčovič, Daniel
Stochastic and Computational Finance (Preface)
International Journal of Computer Mathematics, 94 (11) :2145–2146
2017
Herausgeber: Taylor & Francis3611.
Ehrhardt, Matthias; Ševčovič, Daniel
Stochastic and Computational Finance Preface
20173610.
Kotthaus, Andreas F.; Ballaschk, Frederic; Stakaj, Vjoni; Mohr, Fabian
Synthesis and Resolution of a Chiral Diamine: 2,2′-(Propane-2,2-diyl)dipyrrolidine
Synthesis, 49 (14) :3107–3111
2017
ISSN: 0039-7881, 1437-210X3609.
Ballaschk, Frederic; Erhardt, Hellmuth
Synthesis of substituted pyrazines from N-allyl malonamides
RSC Advances, 7 (88) :55594–55597
2017
ISSN: 2046-20693608.
Heuer, C.; Pólvora, P.; Silva, J.; Ehrhardt, M.; Günther, M.; Maten, E. J. W.
The {STRIKE} Computational Finance Toolbox
In M. Ehrhardt and M. Günther and E. J. W. ter Maten, Editor, Novel Methods in Computational FinanceBand25ausMathematics in Industry, Seite 561--601
In M. Ehrhardt and M. Günther and E. J. W. ter Maten, Editor
Herausgeber: Springer
20173607.
Wagner, Christian; Kotthaus, Andreas F.
The asymmetric reduction of imidazolinones with trichlorosilane
Chemical Communications, 53 (32) :4513–4516
2017
ISSN: 1364-548X3606.
[english] Tausch, Michael W.; Bohrmann-Linde, Claudia; Meuter, Nico; Spinnen, Sebastian; Yurdanur, Yasemin; Pereira Vaz, Nuno; Drude, Niklas
The Fascinating World of Photochemistry
20173605.
Wegner, Sven-Ake
The heart of the {B}anach spaces
J. Pure Appl. Algebra, 221 (11) :2880--2909
20173604.
Wegner, Sven-Ake
The heart of the Banach spaces
J. Pure Appl. Algebra, 221 (11) :2880--2909
20173603.
Pinnau, Rene; Totzeck, Claudia; Tse, Oliver
The quasi-neutral limit in optimal semiconductor design
SIAM Journal of Control and Optimization, 55 (4) :2603-2635
20173602.
Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B.
The Radau-Lanczos method for matrix functions
SIAM J. Matrix Anal. Appl., 38 (3) :710-732
20173601.
Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B.
The Radau-Lanczos method for matrix functions
SIAM J. Matrix Anal. Appl., 38 (3) :710-732
20173600.
Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B.
The Radau-Lanczos method for matrix functions
SIAM J. Matrix Anal. Appl., 38 (3) :710-732
20173599.
Schmiedt, Hanno; Jensen, Per; Schlemmer, Stephan
The role of angular momentum in the superrotor theory for rovibrational motion of extremely flexible molecules
Journal of Molecular Spectroscopy, 342 :132-137
2017
Herausgeber: Academic Press3598.
Schmiedt, Hanno; Jensen, Per; Schlemmer, Stephan
The role of angular momentum in the superrotor theory for rovibrational motion of extremely flexible molecules
Journal of Molecular Spectroscopy, 342 :132-137
2017
Herausgeber: Academic Press3597.
Schmiedt, Hanno; Jensen, Per; Schlemmer, Stephan
The role of angular momentum in the superrotor theory for rovibrational motion of extremely flexible molecules
Journal of Molecular Spectroscopy, 342 :132-137
2017
Herausgeber: Academic Press3596.
Daners, Daniel; Glück, Jochen
The role of domination and smoothing conditions in the theory of eventually positive semigroups
Bull. Aust. Math. Soc., 96 (2) :286--298
20173595.
Heuer, Christof; Pólvora, Pedro; Ehrhardt, Matthias; Günther, Michael; Maten, E. Jan W.
The STRIKE computational finance toolbox
Novel Methods in Computational Finance :561–601
2017
Herausgeber: Springer Cham3594.
Heuer, Christof; Pólvora, Pedro; Ehrhardt, Matthias; Günther, Michael; Maten, E Jan W
The STRIKE Computational Finance Toolbox
Novel Methods in Computational Finance :561--601
2017
Herausgeber: Springer International Publishing3593.
Heuer, Christof; Pólvora, Pedro; Ehrhardt, Matthias; Günther, Michael; Maten, E. Jan W.
The STRIKE computational finance toolbox
Novel Methods in Computational Finance :561–601
2017
Herausgeber: Springer Cham