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

3618.

Ballaschk, Frederic; Erhardt, Hellmuth; Kirsch, Stefan F.
Synthesis of substituted pyrazines from N-allyl malonamides
RSC Advances, 7 (88) :55594–55597
2017
ISSN: 2046-2069

3617.

Eckardt, Linda; Grotjahn, Alexander; Jankoviak, Adam; Krain, Armin; Wang, Hao; Wei, Jochen; Robra-Bissantz, Susanne
Systematische Literaturanalyse zum Lernen in virtuellen Realitäten
Workshopband der 15. E-Learning Fachtagung Informatik (DeLFI)
Chemnitz
Herausgeber: GI-Edition Lecture Notes in Informatics (LNI)
2017

3616.

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
2017

3615.

Wagner, Christian; Kotthaus, Andreas F.; Kirsch, Stefan F.
The asymmetric reduction of imidazolinones with trichlorosilane
Chemical Communications, 53 (32) :4513–4516
2017
ISSN: 1364-548X

3614.

[english] Tausch, Michael W.; Bohrmann-Linde, Claudia; Meuter, Nico; Spinnen, Sebastian; Yurdanur, Yasemin; Pereira Vaz, Nuno; Drude, Niklas
The Fascinating World of Photochemistry
2017

3613.

Wegner, Sven-Ake
The heart of the {B}anach spaces
J. Pure Appl. Algebra, 221 (11) :2880--2909
2017

3612.

Wegner, Sven-Ake
The heart of the Banach spaces
J. Pure Appl. Algebra, 221 (11) :2880--2909
2017

3611.

Pinnau, Rene; Totzeck, Claudia; Tse, Oliver
The quasi-neutral limit in optimal semiconductor design
SIAM Journal of Control and Optimization, 55 (4) :2603-2635
2017

3610.

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
2017

3609.

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
2017

3608.

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
2017

3607.

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 Press

3606.

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 Press

3605.

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 Press

3604.

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
2017

3603.

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

3602.

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 Publishing

3601.

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

3600.

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

3599.

Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
The tree-grid method with control-independent stencil
Proceedings of Equadiff 2017 Conference :79–88
2017
Herausgeber: SPEKTRUM STU Publishing

3598.

Ehrhardt, Matthias; Günther, Michael
The tree-grid method with control-independent stencil
In K. Mikula and D. Sevcovic and J. Urban, Editor, Proceedings of Equadiff 2017 Conference, Seite 79--88
In K. Mikula and D. Sevcovic and J. Urban, Editor
2017

3597.

Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
The tree-grid method with control-independent stencil
Proceedings of Equadiff 2017 Conference :79–88
2017
Herausgeber: SPEKTRUM STU Publishing

3596.

Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
The tree-grid method with control-independent stencil
Proceedings of Equadiff 2017 Conference :79–88
2017
Herausgeber: SPEKTRUM STU Publishing

3595.

Setzer, Klaus-Dieter; Fink, Ewald H.; Alekseyev, Aleksey B.; Liebermann, Heinz-Peter; Buenker, Robert J.
Theoretical and experimental study of the electronic states and spectra of KBi and KSb
Journal of Molecular Spectroscopy, 333 :1-11
2017
Herausgeber: Academic Press

3594.

Setzer, Klaus-Dieter; Fink, Ewald H.; Alekseyev, Aleksey B.; Liebermann, Heinz-Peter; Buenker, Robert J.
Theoretical and experimental study of the electronic states and spectra of KBi and KSb
Journal of Molecular Spectroscopy, 333 :1-11
2017
Herausgeber: Academic Press