Magnetics

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.

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: 3667.
Putek, Piotr; Janssen, Rick; Niehof, Jan; Pulch, Roland; Tasi{\'c}, Bratislav; Günther, Michael
Nanoelectronic coupled problem solutions: uncertainty quantification of RFIC interference
Progress in Industrial Mathematics at ECMI 2016 19, Seite 271--279
Springer International Publishing
2017; 3666.
Allmendinger, Richard; Ehrgott, Matthias; Gandibleux, Xavier; Geiger, Martin J.; Klamroth, Kathrin; Luque, Mariano
Navigation in multiobjective optimization methods
Journal of Multi-Criteria Decision Analysis, 24 :57-70
2017
DOI: 10.1002/mcda.1599; 3665.
Kienitz, Jörg
Negative rates: New market practice
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 47–63
Herausgeber: Springer Cham
2017
47–63
DOI: 10.1007/978-3-319-61282-9_4; 3664.
Kienitz, Jörg
Negative rates: New market practice
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 47–63
Herausgeber: Springer Cham
2017
47–63
DOI: 10.1007/978-3-319-61282-9_4; 3663.
Kienitz, Jörg
Negative rates: New market practice
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 47–63
Herausgeber: Springer Cham
2017
47–63
DOI: 10.1007/978-3-319-61282-9_4; 3662.

Novel Methods in Computational Finance (Book)
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Herausgeber: Springer Cham
2017
DOI: 10.1007/978-3-319-61282-9
ISBN: 978-3-319-61281-2; 3661.

Novel Methods in Computational Finance (Book)
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Herausgeber: Springer Cham
2017
DOI: 10.1007/978-3-319-61282-9
ISBN: 978-3-319-61281-2; 3660.

Novel Methods in Computational Finance (Book)
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Herausgeber: Springer Cham
2017
DOI: 10.1007/978-3-319-61282-9
ISBN: 978-3-319-61281-2; 3659.
Wandelt, Dipl-Math M
Numerical Analysis and Simulation of Ordinary Differential Equations
2017
Herausgeber: University of Wuppertal; 3658.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
Numerical Simulation of the {Heston} Model under Stochastic Correlation
International Journal of Financial Studies, 6 (1) :3
Dezember 2017
Herausgeber: {MDPI} {AG}
DOI: 10.3390/ijfs6010003; 3657.
Teng, Long; Ehrhardt, Matthias; G\"unther, Michael
Numerical Simulation of the {Heston} model with Stochastic Correlation
International Journal of Financial Studies, 6 (1):3 (1)
2017
DOI: 10.3390/ijfs6010003; 3656.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
Numerical simulation of the Heston model under stochastic correlation
International Journal of Financial Studies, 6 (1) :3
2017
Herausgeber: MDPI
DOI: 10.3390/ijfs6010003; 3655.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
Numerical simulation of the Heston model under stochastic correlation
International Journal of Financial Studies, 6 (1) :3
2017
Herausgeber: MDPI; 3654.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
Numerical simulation of the Heston model under stochastic correlation
International Journal of Financial Studies, 6 (1) :3
2017
Herausgeber: MDPI
DOI: 10.3390/ijfs6010003; 3653.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
Numerical simulation of the Heston model under stochastic correlation
International Journal of Financial Studies, 6 (1) :3
2017
Herausgeber: MDPI
DOI: 10.3390/ijfs6010003; 3652.
Gaona-Colm{{\'a}}n, Elizabeth; Blanco, Mar{í}a B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
OH- and O\(_{3}\)-initiated atmospheric degradation of camphene: temperature dependent rate coefficients, product yields and mechanisms
RSC Advances, 7 (5) :2733-2744
2017
DOI: 10.1039/c6ra26656h; 3651.
Gaona-Colm{{\'a}}n, Elizabeth; Blanco, Mar{í}a B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
OH- and O\(_{3}\)-initiated atmospheric degradation of camphene: temperature dependent rate coefficients, product yields and mechanisms
RSC Advances, 7 (5) :2733-2744
2017
DOI: 10.1039/c6ra26656h; 3650.
Gaona-Colmán, Elizabeth; Blanco, María B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
OH- and O3-initiated atmospheric degradation of camphene: temperature dependent rate coefficients, product yields and mechanisms
RSC Advances, 7 (5) :2733-2744
2017
DOI: 10.1039/c6ra26656h; 3649.
Gerlach, Moritz; Glück, Jochen
On a convergence theorem for semigroups of positive integral operators
C. R. Math. Acad. Sci. Paris, 355 (9) :973--976
2017
DOI: 10.1016/j.crma.2017.07.017
Download; 3648.
Klamroth, Kathrin; Stiglmayr, Michael; Volkert, Klaus; Pahl, Lisa
Optimierung als Bindeglied zwischen Schule, Anwendung und Forschung
In Klamroth, Kathrin and Stiglmayr, Michael and Volkert, Klaus and Pahl, Lisa, Editor, Band 1
2017
Download; 3647.
Sayed, S. El; Bolten, M.; Pleiter, D.
Parallel I/O architecture modelling based on file system counters
In M. Taufer and B. Mohr and J. Kunkel, Editor, High Performance Computing. ISC High Performance 2016Band9945ausLNCS, Seite 627--637
In M. Taufer and B. Mohr and J. Kunkel, Editor
Herausgeber: Springer
2017
DOI: 10.1007/978-3-319-46079-6_43; 3646.
Sayed, S. El; Bolten, Matthias; Pleiter, D.
Parallel I/O architecture modelling based on file system counters
In M. Taufer and B. Mohr and J. Kunkel, Editor, High Performance Computing. ISC High Performance 2016Band9945ausLNCS, Seite 627-637
In M. Taufer and B. Mohr and J. Kunkel, Editor
Herausgeber: Springer
2017
DOI: 10.1007/978-3-319-46079-6_43; 3645.
Sayed, S. El; Bolten, M.; Pleiter, D.
Parallel I/O architecture modelling based on file system counters
In M. Taufer and B. Mohr and J. Kunkel, Editor, High Performance Computing. ISC High Performance 2016Band9945ausLNCS, Seite 627-637
In M. Taufer and B. Mohr and J. Kunkel, Editor
Herausgeber: Springer
2017
DOI: 10.1007/978-3-319-46079-6_43; 3644.
H{ä}ring, Andreas P.; Haack, Alexander; Corey, Daniel J.; Benter, Thorsten
Pathways in the Degradation of Geminal Diazides
The Journal of Organic Chemistry, 82 (15) :8242-8250
2017
DOI: 10.1021/acs.joc.7b01019; 3643.
Häring, Andreas P.; Haack, Alexander; Corey, Daniel J.; Benter, Thorsten
Pathways in the Degradation of Geminal Diazides
The Journal of Organic Chemistry, 82 (15) :8242-8250
2017
DOI: 10.1021/acs.joc.7b01019

Computational Magnetics

Research Questions

Cooperation

Former and ongoing projects

Publications

3667.

3666.

3665.

3664.

3663.

3662.

3661.

3660.

3659.

3658.

3657.

3656.

3655.

3654.

3653.

3652.

3651.

3650.

3649.

3648.

3647.

3646.

3645.

3644.

3643.