Applied and Computational Mathematics (ACM)

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

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

Cooperation

Former and ongoing projects

Publications



2017

3793.

Ehrhardt, Matthias
A new two-way artificial boundary condition for wave propagation
Seite 3509
2017
3509

3792.

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 Chemistry

3791.

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 Chemistry

3790.

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 Chemistry

3789.

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
2017

3788.

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
2017

3787.

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
2017

3786.

Klamroth, Kathrin; Köbis, Elisabeth; Schöbel, Anita; Tammer, Christiane
A unified approach to uncertain optimization
European Journal of Operational Research, 260 :403-420
2017

3785.

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 Press

3784.

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 Press

3783.

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 Press

3782.

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
2017

3781.

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
2017

3780.

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
2017

3779.

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

3778.

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 Publishing

3777.

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

3776.

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

3775.

Häring, Andreas P.; Biallas, Phillip; Kirsch, Stefan F.
An Unconventional Reaction of 2,2-Diazido Acylacetates with Amines
European Journal of Organic Chemistry, 2017 (11) :1526–1539
2017
ISSN: 1099-0690

3774.

Zaspel, Peter
Analysis and parallelizationstrategies for Ruge-Stüben AMG on many-core processors
2017

3773.

Irian, Tsypin
Analytik von Mikroplastik
2017

3772.

Usman, Muhammad
Analytik von Mikroplastik mittels Py-GC-(TOF)MS
2017

3771.

Mayer, Elena
Analytische Methoden zur Strukturaufklärung von Lignin
2017

3770.

Fiedrich, M.; Kurtenbach, Ralf; Wiesen, Peter; Kleffmann, Jörg
Artificial O\(_{3}\) formation during fireworks
Atmospheric Environment, 165 :57-61
2017
Herausgeber: Pergamon

3769.

Fiedrich, M.; Kurtenbach, Ralf; Wiesen, Peter; Kleffmann, Jörg
Artificial O\(_{3}\) formation during fireworks
Atmospheric Environment, 165 :57-61
2017
Herausgeber: Pergamon