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
- 2014
2867.
Multi-Band Effective Mass Approximations: Advanced Mathematical Models and Numerical Techniques
In Ehrhardt, Matthias and Koprucki, Thomas, Editor aus Lecture Notes in Computational Science and Engineering
Herausgeber: Springer Cham
2014ISBN: 978-3-319-01426-5
2866.
Wallington, T. J.; Wiesen, Peter
N\(_{2}\)O emissions from global transportation
Atmospheric Environment, 94 :258-263
2014
Herausgeber: Pergamon2865.
Wallington, T. J.; Wiesen, Peter
N\(_{2}\)O emissions from global transportation
Atmospheric Environment, 94 :258-263
2014
Herausgeber: Pergamon2864.
Wallington, T. J.; Wiesen, Peter
N2O emissions from global transportation
Atmospheric Environment, 94 :258-263
2014
Herausgeber: Pergamon2863.
Maten, E Jan W; Günther, Michael; Putek, Piotr; Benner, Peter; Feng, Lihong; Schneider, Judith; Brachtendorf, Hans-Georg; Bittner, Kai; Deleu, Frederik; Wieers, Aarnout; others
Nanocops: Nanoelectronic coupled problem solutions
2014
Herausgeber: Mathematics and Industry2862.
Setzer, Klaus-Dieter; Fink, Ewald H.
Near-infrared emission spectra of TeS, TeSe and Te\(_{2}\)
Journal of Molecular Spectroscopy, 304 :28-36
2014
Herausgeber: Academic Press2861.
Setzer, Klaus-Dieter; Fink, Ewald H.
Near-infrared emission spectra of TeS, TeSe and Te\(_{2}\)
Journal of Molecular Spectroscopy, 304 :28-36
2014
Herausgeber: Academic Press2860.
Setzer, Klaus-Dieter; Fink, Ewald H.
Near-infrared emission spectra of TeS, TeSe and Te2
Journal of Molecular Spectroscopy, 304 :28-36
2014
Herausgeber: Academic Press2859.
Putek, Piotr; PAPLICKI, Piotr; Pulch, Roland; Maten, E. Jan W.; Günther, Michael; Palka, Ryszard
Nonlinear multiobjective topology optimization and multiphysics analysis of a permanent-magnet excited synchronous machine
Optimization and Inverse Problems in Electromagnetism OIPE-2014 Book of Digests, Seite 107–108
Herausgeber: TU Delf
20142858.
Putek, Piotr; PAPLICKI, Piotr; Pulch, Roland; Maten, E. Jan W.; Günther, Michael; Palka, Ryszard
Nonlinear multiobjective topology optimization and multiphysics analysis of a permanent-magnet excited synchronous machine
Optimization and Inverse Problems in Electromagnetism OIPE-2014 Book of Digests, Seite 107–108
Herausgeber: TU Delf
20142857.
Ehrhardt, M.
Nonstandard Finite Difference Schemes for the {Black-Scholes} Equation
In A. Gumel, Editor, Mathematics of Continuous and Discrete Dynamical SystemsBand618, Seite 217--228
In A. Gumel, Editor
Herausgeber: AMS (Contemporary Mathematics)
20142856.
Ehrhardt, Matthias
Nonstandard Finite Difference Schemes for the Black--Scholes Equation
Mathematics of Continuous and Discrete Dynamical Systems: Contemporary Mathematics, 618 :217
2014
Herausgeber: American Mathematical Soc.2855.
Ehrhardt, Matthias
Nonstandard finite difference schemes for the Black-Scholes equation
Contemporary Mathematics, 618 :217–227
2014
Herausgeber: American Mathematical Society2854.
Ehrhardt, Matthias
Nonstandard finite difference schemes for the Black-Scholes equation
Contemporary Mathematics, 618 :217–227
2014
Herausgeber: American Mathematical Society2853.
Ehrhardt, Matthias
Numerical analysis of nonlinear European option pricing problem in illiquid markets
20142852.
Ehrhardt, Matthias
Numerical analysis of nonlinear European option pricing problem in illiquid markets
Preprint IMACM
2014
Herausgeber: Bergische Universität Wuppertal2851.
Ehrhardt, Matthias
Numerical analysis of nonlinear European option pricing problem in illiquid markets
Preprint IMACM
2014
Herausgeber: Bergische Universität Wuppertal2850.
Ehrhardt, Matthias; Sánchez, Lucas Jódar; Villanueva Micó, Rafael Jacinto
Numerical methods and mathematical modelling in biology, medicine and social sciences
20142849.
Ehrhardt, Matthias; Sánchez, Lucas Jódar; Villanueva Micó, Rafael Jacinto
Numerical methods and mathematical modelling in biology, medicine and social sciences
International Journal of Computer Mathematics, 91 (2) :176–178
2014
Herausgeber: Taylor & Francis2848.
Ehrhardt, Matthias; Sánchez, Lucas Jódar; Villanueva Micó, Rafael Jacinto
Numerical methods and mathematical modelling in biology, medicine and social sciences
International Journal of Computer Mathematics, 91 (2) :176–178
2014
Herausgeber: Taylor & Francis2847.
Bartel, A.; Brunk, M.; Sch\"ops, S.
On the convergence rate of dynamic iteration for coupled problems with multiple subsystem
J. Comp. Appl. Math., 262 :14--24
20142846.
Bartel, Andreas; Brunk, Markus; Schöps, Sebastian
On the convergence rate of dynamic iteration for coupled problems with multiple subsystems
Journal of Computational and Applied Mathematics, 262 :14–24
2014
Herausgeber: North-Holland2845.
Bartel, Andreas; Brunk, Markus; Schöps, Sebastian
On the convergence rate of dynamic iteration for coupled problems with multiple subsystems
Journal of Computational and Applied Mathematics, 262 :14--24
2014
Herausgeber: North-Holland2844.
Stiglmayr, Michael; Figueira, José Rui; Klamroth, Kathrin
On the multicriteria allocation problem
Annals of Operations Research, 222 (1) :535-549
2014
Herausgeber: Springer2843.
Farkas, B{\'a}lint; Pintz, J{\'a}nos; Révész, Szil{\'a}rd
On the optimal weight function in the {G}oldston-{P}intz-{Y}\textbackslashi ld\textbackslashi r\textbackslashi m method for finding small gaps between consecutive primes
Number theory, analysis, and combinatorics
Seite 75--104
Herausgeber: De Gruyter, Berlin, https://arxiv.org/abs/1306.2133
2014
75--104