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
3792.
Pinnau, Rene; Totzeck, Claudia; Tse, Oliver; Martin, Stephan
A consensus-based model for global optimization and its mean-field limit
Mathematical Models and Methods in Applied Sciences, 27 (1) :183-204
20173791.
Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail; others
A functional limit theorem for irregular SDEs
, Annales de l'Institut Henri Poincaré, Probabilités et StatistiquesBand53, Seite 1438--1457
Institut Henri Poincaré
20173790.
Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail; others
A functional limit theorem for irregular SDEs
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 53 (3) :1438–1457
2017
Herausgeber: Institute of Mathematical Statistics3789.
Bolten, Matthias; Moser, D.; Speck, R.
A multigrid perspective on the parallel full approximation scheme in space and time
Numer. Lin. Alg. Appl., 24 (6) :e2110
20173788.
Bolten, M.; Moser, D.; Speck, R.
A multigrid perspective on the parallel full approximation scheme in space and time
Numer. Lin. Alg. Appl., 24 (6) :e2110
20173787.
Bolten, M.; Moser, D.; Speck, R.
A multigrid perspective on the parallel full approximation scheme in space and time
Numer. Lin. Alg. Appl., 24 (6) :e2110
20173786.
Ehrhardt, Matthias
A new two-way artificial boundary condition for wave propagation
23rd AIAA/CEAS Aeroacoustics Conference, Seite 3509
20173785.
Ehrhardt, Matthias
A new two-way artificial boundary condition for wave propagation
Seite 3509
2017
35093784.
Ehrhardt, Matthias
A new two-way artificial boundary condition for wave propagation
Seite 3509
2017
35093783.
Schmiedt, Hanno; Schlemmer, Stephan; Yurchenko, Sergey N.; Yachmenev, Andrey; Jensen, Per
A semi-classical approach to the calculation of highly excited rotational energies for asymmetric-top molecules
Physical Chemistry Chemical Physics, 19 (3) :1847-1856
2017
Herausgeber: Royal Society of Chemistry3782.
Schmiedt, Hanno; Schlemmer, Stephan; Yurchenko, Sergey N.; Yachmenev, Andrey; Jensen, Per
A semi-classical approach to the calculation of highly excited rotational energies for asymmetric-top molecules
Physical Chemistry Chemical Physics, 19 (3) :1847-1856
2017
Herausgeber: Royal Society of Chemistry3781.
Schmiedt, Hanno; Schlemmer, Stephan; Yurchenko, Sergey N.; Yachmenev, Andrey; Jensen, Per
A semi-classical approach to the calculation of highly excited rotational energies for asymmetric-top molecules
Physical Chemistry Chemical Physics, 19 (3) :1847-1856
2017
Herausgeber: Royal Society of Chemistry3780.
Schweitzer, Marcel
A two-sided short-recurrence extended Krylov subspace method for nonsymmetric matrices and its relation to rational moment matching
Numer. Algorithms, 76 (1) :1-31
20173779.
Schweitzer, Marcel
A two-sided short-recurrence extended Krylov subspace method for nonsymmetric matrices and its relation to rational moment matching
Numer. Algorithms, 76 (1) :1-31
20173778.
Schweitzer, Marcel
A two-sided short-recurrence extended Krylov subspace method for nonsymmetric matrices and its relation to rational moment matching
Numer. Algorithms, 76 (1) :1-31
20173777.
Klamroth, Kathrin; Köbis, Elisabeth; Schöbel, Anita; Tammer, Christiane
A unified approach to uncertain optimization
European Journal of Operational Research, 260 :403-420
20173776.
Shcherbakov, Dmitry; Ehrhardt, Matthias; Finkenrath, Jacob; Günther, Michael; Knechtli, Francesco; Peardon, Michael
Adapted nested force-gradient integrators: The Schwinger model case
Communications in Computational Physics, 21 (4) :1141–1153
2017
Herausgeber: Cambridge University Press3775.
Shcherbakov, Dmitry; Ehrhardt, Matthias; Finkenrath, Jacob; Günther, Michael; Knechtli, Francesco; Peardon, Michael
Adapted nested force-gradient integrators: The Schwinger model case
Communications in Computational Physics, 21 (4) :1141–1153
2017
Herausgeber: Cambridge University Press3774.
Shcherbakov, Dmitry; Ehrhardt, Matthias; Finkenrath, Jacob; Günther, Michael; Knechtli, Francesco; Peardon, Michael
Adapted nested force-gradient integrators: The Schwinger model case
Communications in Computational Physics, 21 (4) :1141–1153
2017
Herausgeber: Cambridge University Press3773.
Bolten, Matthias; Franchetti, F.; Kelly, P. H.; Lengauer, C.; Mohr, M.
Algebraic description and automatic generation of multigrid methods in SPIRAL
CCPE, 29 (17) :e4105
20173772.
Bolten, M.; Franchetti, F.; Kelly, P. H.; Lengauer, C.; Mohr, M.
Algebraic description and automatic generation of multigrid methods in SPIRAL
CCPE, 29 (17) :e4105
20173771.
Bolten, M.; Franchetti, F.; Kelly, P. H.; Lengauer, C.; Mohr, M.
Algebraic description and automatic generation of multigrid methods in SPIRAL
CCPE, 29 (17) :e4105
20173770.
Ehrhardt, Matthias; Günther, Michael; Pólvora, Pedro
Alternating direction explicit methods for linear, nonlinear and multi-dimensional Black-Scholes models
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor
Seite 333–371
Herausgeber: Springer Cham
2017
333–3713769.
Ehrhardt, Matthias; Günther, Michael; Pólvora, Pedro
Alternating direction explicit methods for linear, nonlinear and multi-dimensional Black-Scholes models
Novel Methods in Computational Finance :333--371
2017
Herausgeber: Springer International Publishing3768.
Ehrhardt, Matthias; Günther, Michael; Pólvora, Pedro
Alternating direction explicit methods for linear, nonlinear and multi-dimensional Black-Scholes models
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor
Seite 333–371
Herausgeber: Springer Cham
2017
333–371