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



2014

2893.

Klahn, Philipp
IBX-Mediated Dehydrogenation of Substituted β-Oxonitriles
European Journal of Organic Chemistry, 2014 (15) :3149–3155
2014
ISSN: 1099-0690

2892.

Bartel, Andreas; Hülsmann, Timo; Kühn, Jan; Pulch, Roland; Schöps, Sebastian
Influence of measurement errors on transformer inrush currents using different material models
IEEE Transactions on Magnetics, 50 (2) :485–488
2014
Herausgeber: IEEE

2891.

Bartel, Andreas; Hülsmann, Timo; Kühn, Jan; Pulch, Roland; Schöps, Sebastian
Influence of measurement errors on transformer inrush currents using different material models
IEEE transactions on magnetics, 50 (2) :485--488
2014
Herausgeber: IEEE

2890.

Kienitz, J.
Interest Rate Derivatives Explained: Volume 1 Products and Markets
Herausgeber: Palgrave McMillan
2014

2889.

Kienitz, Jörg
Interest Rate Derivatives Explained: Volume 1: Products and Markets
Band 1 aus Financial Engineering Explained
Herausgeber: Palgrave Macmillan UK
2014

ISBN: 9781137360076

2888.

Erxleben, Fredo; Günther, Michael; Krötzsch, Markus; Mendez, Julian; Vrandečić, Denny
Introducing Wikidata to the linked data web
The Semantic Web – ISWC 2014: 13th International Semantic Web Conference, Riva del Garda, Italy, October 19-23, 2014. Proceedings, Part IausLecture Notes in Computer Science, Seite 50–65
Herausgeber: Springer Cham
2014

2887.

Erxleben, Fredo; Günther, Michael; Krötzsch, Markus; Mendez, Julian; Vrandečić, Denny
Introducing Wikidata to the linked data web
The Semantic Web – ISWC 2014: 13th International Semantic Web Conference, Riva del Garda, Italy, October 19-23, 2014. Proceedings, Part IausLecture Notes in Computer Science, Seite 50–65
Herausgeber: Springer Cham
2014

2886.

Maten, E. J. W.
Introduction Part I: Circuits and electromagnetic devices
In M. Fontes and M. Günther and N. Marheineke, Editor, Progress in Industrial Mathematics at ECMI 2012Band19ausMathematics in Industry, Seite 1-3
In M. Fontes and M. Günther and N. Marheineke, Editor
Herausgeber: Springer
2014

2885.

Galle, Ann-Kathrin
Isolierung und Charakterisierung ligninolytischer Enzyme zur Nutzung als Biokatalysatoren
2014

2884.

Heilmann, Margareta; Raşa, Ioan
k-th order Kantorovich type modification of the operators U_n^ρ
Journal of Applied Functional Analysis, 9 (3-4) :20-334
2014

2883.

Putek, Piotr; PAPLICKI, Piotr; Pałka, Ryszard
Low cogging torque design of permanent magnet machine using modified multi-level set method with total variation regularization
IEEE Transactions on Magnetics, 50 (2) :657–660
2014
Herausgeber: IEEE

2882.

Sarkardeh, Yashar
Methodenentwicklung einer Festphasenextraktion zur Anreicherung von Ligninabbauprodukten aus der Zellstoffindustrie
2014

2881.

Bartel, A.
Methods (Chapter Introduction)
In Fontes, M. and Günther, M. and Marheineke, N., Editor, Progress in Industrial Mathematics at ECMI 2012
In Fontes, M. and Günther, M. and Marheineke, N., Editor
Herausgeber: Springer
2014

2880.

Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
Modelling and Numerical Simulation
Atmospheric Research From Different Perspectives: Bridging the Gap Between Natural and Social Sciences :27--34
2014
Herausgeber: Springer International Publishing

2879.

Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
Modelling and Numerical Simulation
In Koppmann, Ralf, Editor
Seite 27–34
Herausgeber: Springer Cham
2014
27–34

2878.

Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
Modelling and Numerical Simulation
In Koppmann, Ralf, Editor
Seite 27–34
Herausgeber: Springer Cham
2014
27–34

2877.

Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
Modelling and Numerical Simulation
In Koppmann, Ralf, Editor
Seite 27–34
Herausgeber: Springer Cham
2014
27–34

2876.

Ehrhardt, Matthias; Günther, Michael
Modelling Stochastic Correlations in Finance
Preprint IMACM
2014

2875.

Ehrhardt, Matthias; Günther, Michael
Modelling Stochastic Correlations in Finance
Preprint IMACM
2014

2874.

Ehrhardt, Matthias; Günther, Michael
Modelling Stochastic Correlations in Finance
Preprint IMACM
2014

2873.

Cortés, J. C.; Ehrhardt, M.; Sánchez-Sánchez, A.; Santonja, F. J.; Villanueva, R. J.
Modelling the dynamics of the students academic performance in the {German} region of {North Rhine-Westphalia}: an epidemiological approach with uncertainty
Int. J. Comput. Math., 91 (2) :241--251
2014

2872.

Ehrhardt, Matthias; Sánchez-Sánchez, Almudena
Modelling the dynamics of the students’ academic performance in the German region of the North Rhine-Westphalia: an epidemiological approach with uncertainty
International Journal of Computer Mathematics, 91 (2) :241--251
2014
Herausgeber: Taylor & Francis

2871.

Ehrhardt, Matthias; Sánchez-Sánchez, Almudena
Modelling the dynamics of the students’ academic performance in the German region of the North Rhine-Westphalia: An epidemiological approach with uncertainty
International Journal of Computer Mathematics, 91 (2) :241–251
2014
Herausgeber: Taylor & Francis

2870.

Ehrhardt, Matthias; Sánchez-Sánchez, Almudena
Modelling the dynamics of the students’ academic performance in the German region of the North Rhine-Westphalia: An epidemiological approach with uncertainty
International Journal of Computer Mathematics, 91 (2) :241–251
2014
Herausgeber: Taylor & Francis

2869.

Ehrhardt, Matthias
Multi-Band Effective Mass Approximations: Advanced Mathematical Models and Numerical Techniques
2014