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
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
- 2022
4743.
Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate
Stochastic Runge-Kutta-Munthe-Kaas methods in the modelling of perturbed rigid bodies
Advances in Applied Mathematics and Mechanics, 14 (2) :528–538
2022
Herausgeber: Global Science Press4742.
Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate
Stochastic Runge-Kutta–Munthe-Kaas Methods in the Modelling of Perturbed Rigid Bodies
AAMM, 14 (2) :528--538
2022
ISSN: 2075-13544741.
Kienitz, Jörg
Stochastic volatility – a story of two decades of SABR and Wilmott magazine
Wilmott, 2022 (121) :24–26
2022
Herausgeber: Wilmott Magazine4740.
[english] Mertineit, Ann-Kathrin; Schaper, Klaus; Bohrmann-Linde, Claudia; Burdinski, Dirk; Zulauf, Bert; Meuter, Nico; Hackradt, Hans; Kremer, Richard
Teaching Software Skills Using a Freely Accessible Learning Space - an OER Approach
Seite 7073-7081
2022ISBN: 978-84-09-42484-9
4739.
Kääpä, Alex; Kampert, Karl-Heinz; Mayotte, Eric
The effects of the GMF on the transition from Galactic to extragalactic cosmic rays
PoS, ICRC2021 :004
20224738.
Albrecht, Johannes; others
The Muon Puzzle in cosmic-ray induced air showers and its connection to the Large Hadron Collider
Astrophys. Space Sci., 367 (3) :27
20224737.
Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
The parareal algorithm and the sparse grid combination technique in the application of the Heston model
Progress in Industrial Mathematics at ECMI 2021, Seite 477–483
Herausgeber: Springer Cham
20224736.
Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
The parareal algorithm and the sparse grid combination technique in the application of the Heston model
Progress in Industrial Mathematics at ECMI 2021, Seite 477–483
Herausgeber: Springer Cham
20224735.
Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
The parareal algorithm and the sparse grid combination technique in the application of the Heston model
Progress in Industrial Mathematics at ECMI 2021, Seite 477–483
Herausgeber: Springer Cham
20224734.
Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
The Parareal Algorithm and the Sparse Grid Combination Technique in the Application of the Heston Model
Progress in Industrial Mathematics at ECMI 2021
Seite 477--483
Herausgeber: Springer International Publishing Cham
2022
477--4834733.
Bolten, Matthias; Ekström, S.-E.; Furci, I.; Serra-Capizzano, S.
Toeplitz Momentary Symbols: definition, results, and limitations in the spectral analysis of structured matrices
Linear Algebra Appl., 651 :51-82
20224732.
Bolten, M.; Ekström, S.-E.; Furci, I.; Serra-Capizzano, S.
Toeplitz Momentary Symbols: definition, results, and limitations in the spectral analysis of structured matrices
Linear Algebra Appl., 651 :51-82
20224731.
Maharjan, Drishti; Zaspel, Peter
Toward data-driven filters in paraview
JFV, 29 (3)
20224730.
Bolten, Matthias; Doganay, Onur Tanil; Gottschalk, Hanno; Klamroth, Kathrin
Tracing locally Pareto optimal points by numerical integration
SIAM Journal on Control and Optimization, 59 (5) :3302-3328
20224729.
Ehrhardt, Matthias
Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line
Physics Letters, Section A, 423 :127822
2022
Herausgeber: Elsevier4728.
Ehrhardt, Matthias
Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line
Physics Letters, Section A, 423 :127822
2022
Herausgeber: Elsevier4727.
Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line
Physics Letters A, 423 :127822
2022
Herausgeber: North-Holland4726.
Glück, Jochen; Martin, Florian G.
Uniform convergence of stochastic semigroups
Israel J. Math., 247 (1) :1--19
20224725.
Ud Din, Bashir
Validation of Monte Carlo simulated processes from pp collisions at the LHC using neural networks
20224724.
Acu, Ana-Maria; Dancs, Madalina; Heilmann, Margareta; Raşa, Ioan; Paşca, Vlad
Voronovskaya type results for special sequences of operators
RACSAM, 116,19
20224723.
Knoll, Matthias; Robra-Bissantz, Susanne; Grogorick, Linda
Wirtschaftsinformatik-Forschung für die und mit der Praxis
HMD - Praxis der Wirtschaftsinformatik, 59 :439–443
2022- 2021
4722.
Illmann, Niklas; Patroescu-Klotz, Iulia; Wiesen, Peter
Biomass burning plume chemistry: OH-radical-initiated oxidation of 3-penten-2-one and its main oxidation product 2-hydroxypropanal
Atmospheric Chemistry and Physics, 21 (24) :18557--18572
Dezember 2021
ISSN: 1680-73244721.
Krämer, Veronika; Barwari, Beawer; Burgmann, Sebastian; Rohde, Martin; Rentschler, Simon; Holzknecht, Christopher; Gmelin, Christoph; Janoske, Uwe
Numerical analysis of an adhering droplet applying an adapted feedback deceleration technique
International Journal of Multiphase Flow, 145 :103808
Dezember 2021
Herausgeber: Elsevier {BV}4720.
[english] Hoffmann, Heiko; Tausch, Michael W.
Diversity with Light: Photoreaction Pathways and Products of Butyrophenone
World Journal of Chemical Education, 9 (4) :163-174
November 20214719.
[english] Kremer, Richard; Tausch, Michael W.
Hydrogen Goes Green - Model Experiments for Artificial Photosynthesis
World Journal of Chemical Education, 9 (4) :111-120
November 2021