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



2019

4017.

Ehrhardt, Matthias
Transparent nonlinear networks
Physical Review E, 100 (3) :032204
2019
Herausgeber: American Physical Society

4016.

Ehrhardt, Matthias
Transparent nonlinear networks
Physical Review E, 100 (3) :032204
2019
Herausgeber: American Physical Society

4015.

Ehrhardt, Matthias
Transparent nonlinear networks
Physical Review E, 100 (3) :032204
2019
Herausgeber: American Physical Society

4014.

Ehrhardt, Matthias
Transparent quantum graphs
Physics Letters A, 383 (20) :2382–2388
2019
Herausgeber: North-Holland

4013.

Ehrhardt, Matthias
Transparent quantum graphs
Physics Letters A, 383 (20) :2382--2388
2019
Herausgeber: North-Holland

4012.

Ehrhardt, Matthias
Transparent quantum graphs
Physics Letters A, 383 (20) :2382–2388
2019
Herausgeber: North-Holland

4011.

Pulch, Roland; Putek, Piotr; Maten, E. Jan W.; Schoenmaker, Wim
Uncertainty quantification: Introduction and implementations
In ter Maten, E. Jan W. and Brachtendorf, Hans-Georg and Pulch, Roland and Schoenmaker, Wim and De Gersem, Herbert, Editor aus Mathematics in Industry
Seite 197–221
Herausgeber: Springer Cham
2019
197–221

4010.

Netzel, Katrin
Untersuchung von Lignin aus Papierabwässern mittels Py-GCxGC/TOF-MS und Ofenpyrolyse
2019

4009.

Karg, Patrick
Untersuchung zu Imid-Amid-Gleichgewichten bei Hydroxycarbonsäure-Amiden
2019

4008.

Rapp, Ulrike
Untersuchung zur Quantifizierung von Mikroplastik mittels offline-Py-GCxGC-MS
2019

4007.

Otte, Adrian
Untersuchungen von Holzproben aus unterschiedlichen Holzschichten
2019

4006.

Goss, Jonas
Untersuchungen von Totholz nicht-heimischer Arten in Arnsberg sowie Totholz von Mammutbäumen in Kaldenkirchen
2019

4005.

Schlösser, Leonie Gwindy
Untersuchungen zur Gewässersanierung
2019

4004.

[german] Kremer, Richard; Tausch, Michael W.
Unterwegs zur künstlichen Photosynthese - Photokatalytische Reduktionen in Modellexperimenten
Chemie und Schule, 34 (3) :15-29
2019

4003.

Eichfelder, Gabriele; Klamroth, Kathrin; Niebling, Julia
Using a {B}&{B} algorithm from multiobjective optimization to solve constrained optimization problems
AIP Conference Proceedings 2070
Herausgeber: AIP Publishing
2019

4002.

Bolten, M.; Hahn, C.
Using composite finite elements for shape optimization with a stochastic objective functional
In I. Farag{\'o} and F. Izs{\'a}k and P. L. Simon, Editor, Progress in Industrial Mathematics at ECMI 2018Band30ausMathematics in Industry, Seite 515--520
In I. Farag{\'o} and F. Izs{\'a}k and P. L. Simon, Editor
Herausgeber: Springer, Cham
2019

4001.

Bolten, Matthias; Hahn, C.
Using composite finite elements for shape optimization with a stochastic objective functional
In I. Farago and F. Izsak and P. L. Simon, Editor, Progress in Industrial Mathematics at ECMI 2018Band30ausMathematics in Industry, Seite 515-520
In I. Farago and F. Izsak and P. L. Simon, Editor
Herausgeber: Springer, Cham
2019

4000.

Bolten, M.; Hahn, C.
Using composite finite elements for shape optimization with a stochastic objective functional
In I. Farago and F. Izsak and P. L. Simon, Editor, Progress in Industrial Mathematics at ECMI 2018Band30ausMathematics in Industry, Seite 515-520
In I. Farago and F. Izsak and P. L. Simon, Editor
Herausgeber: Springer, Cham
2019

3999.

Janssen, Rick; Gillon, Renaud; Wieers, Aarnout; Deleu, Frederik; Guegnaud, Hervé; Reynier, Pascal; Schoenmaker, Wim; Maten, E. Jan W.
Validation of simulation results on coupled problems
In ter Maten, E. Jan W. and Brachtendorf, Hans-Georg and Pulch, Roland and Schoenmaker, Wim and De Gersem, Herbert, Editor aus Mathematics in Industry
Seite 517–563
Herausgeber: Springer Cham
2019
517–563

3998.

Adam, Ahmad Y.; Yachmenev, Andrey; Yurchenko, Sergey N.; Jensen, Per
Variationally Computed IR Line List for the Methyl Radical CH\(_{3}\)
The Journal of Physical Chemistry A, 123 (22) :4755-4763
2019
Herausgeber: American Chemical Society

3997.

Adam, Ahmad Y.; Yachmenev, Andrey; Yurchenko, Sergey N.; Jensen, Per
Variationally Computed IR Line List for the Methyl Radical CH\(_{3}\)
The Journal of Physical Chemistry A, 123 (22) :4755-4763
2019
Herausgeber: American Chemical Society

3996.

Adam, Ahmad Y.; Yachmenev, Andrey; Yurchenko, Sergey N.; Jensen, Per
Variationally Computed IR Line List for the Methyl Radical CH3
The Journal of Physical Chemistry A, 123 (22) :4755-4763
2019
Herausgeber: American Chemical Society

3995.

Weichold, Cathrerine; Behler, Ansgar; Melchior, David; Busch, Stefan; Kling, Hans-Willi; Lange, Karsten; Jakob, Bernd
Verfahren zur Herstellung einer oberflächenaktiven Mischung umfassend Kondensationsprodukte von alpha-Hydroxycarbonsäuren mit 1,2-Alkandiolen
2019

3994.

Weichold, Cathrerine; Behler, Ansgar; Melchior, David; Busch, Stefan; Kling, Hans-Willi; Lange, Karsten; Jakob, Bernd
Verwendung von 1,2-Alkandiolen als Schaumverbesserer für Citronensäureestertenside umfassend ethoxylierte Alkohole
2019

3993.

Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail
Wasserstein convergence rates for random bit approximations of continuous Markov processes
Journal of Mathematical Analysis and Applications, 493 (2) :124543
2019
Herausgeber: Academic Press