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
- 2021
4516.
Anchordoqui, Luis A.; others
Hunting super-heavy dark matter with ultra-high energy photons
Astropart. Phys., 132 :102614
20214515.
Schultes, Johanna; Stiglmayr, Michael; Klamroth, Kathrin; Hahn, Camilla
Hypervolume Scalarization for Shape Optimization to Improve Reliability and Cost of Ceramic Components
Optimization and Engineering, 22 (2) :1203-1231
20214514.
Acu, Ana-Maria; Heilmann, Margareta; Raşa, Ioan
Iterates of convolution-type operators
Positivity, 25 :495-506
20214513.
Zeller, Diana
Kursbuch Gase und Überraschungen. Eine Lerneinheit des Konzepts KriViNat
Herausgeber: Chemiedidaktik. Bergische Universität Wuppertal
2021
online4512.
Jacob, Birgit; Partington, Jonathan R.; Pott, Sandra; Rydhex, Eskil; Schwenninger, Felix L.
Laplace-Carleson embeddings and infinity-norm admissibility
20214511.
Ehrhardt, Matthias
Lattice Kinetic Algorithms for relativistic flows: a unified treatment
University of Cyprus
20214510.
Rautenberg, Julian
Limits on ultra-high energy photons with the Pierre Auger Observatory
PoS, ICRC2019 :398
20214509.
Sandu, Adrian; Günther, Michael; Roberts, Steven
Linearly implicit GARK schemes
Applied Numerical Mathematics, 161 :286--310
2021
Herausgeber: North-Holland4508.
Sandu, Adrian; Günther, Michael; Roberts, Steven
Linearly implicit GARK schemes
Applied Numerical Mathematics, 161 :286–310
2021
Herausgeber: Elsevier4507.
Sandu, Adrian; Günther, Michael; Roberts, Steven
Linearly implicit GARK schemes
Applied Numerical Mathematics, 161 :286–310
2021
Herausgeber: Elsevier4506.
Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel
Low-rank updates of matrix functions II: Rational Krylov methods
SIAM J. Numer. Anal., 59 (3) :1325-1347
20214505.
Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel
Low-rank updates of matrix functions II: Rational Krylov methods
SIAM J. Numer. Anal., 59 (3) :1325-1347
20214504.
Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel
Low-rank updates of matrix functions II: Rational Krylov methods
SIAM J. Numer. Anal., 59 (3) :1325-1347
20214503.
Haussmann, N.; Zang, M.; Mease, R.; Clemens, M.; Schmuelling, B.
Magnetic Dosimetry Simulations of Wireless Power Transfer Systems with High Resolution Voxel Models Utilizing the Co-Simulation Scalar Potential Finite Difference Scheme
The 12th International Symposium on Electric and Magnetic Fields (EMF 2021), Online Conference, 06.-08.07.2021. Abstract accepted.
20214502.
Zang, M.; Haussmann, N.; Mease, R.; Clemens, M.; Schmuelling, B.
Magnetic Field Exposure Simulations of Human Bodies close by a Wireless Power Transfer System of an Elec-trically Powered Taxi
The 12th International Symposium on Electric and Magnetic Fields (EMF 2021), Online Conference, 06.-08.07.2021. Abstract accepted.
20214501.
Araújo, Adérito; Ehrhardt, Matthias
Mathematical models of the spread and consequences of the SARS-CoV-2 pandemics: Effects on health, society, industry, economics and technology
Journal of Mathematics in Industry, 11 :1–2
2021
Herausgeber: Springer Verlag4500.
Araújo, Adérito; Ehrhardt, Matthias
Mathematical models of the spread and consequences of the SARS-CoV-2 pandemics: Effects on health, society, industry, economics and technology
Journal of Mathematics in Industry, 11 :1–2
2021
Herausgeber: Springer Verlag4499.
Araújo, Adérito; Ehrhardt, Matthias
Mathematical models of the spread and consequences of the SARS-CoV-2 pandemics: Effects on health, society, industry, economics and technology
20214498.
Bannenberg, Marcus WFM; Kasolis, Fotios; Günther, Michael; Clemens, Markus
Maximum entropy snapshot sampling for reduced basis modelling
COMPEL-The international journal for computation and mathematics in electrical and electronic engineering, 41 (3) :954--966
2021
Herausgeber: Emerald Publishing Limited4497.
Burger, Martin; Pinnau, Rene; Totzeck, Claudia; Tse, Oliver
Mean-field optimal control and optimality conditions in the space of probability measures
SIAM Journal of Control and Optimization, 59 (2) :977-1006
20214496.
Burger, Martin; Kreusser, Lisa Maria; Totzeck, Claudia
Mean-field optimal control for biological pattern formation
ESAIM COCV, 27 (40)
20214495.
Aab, Alexander; others
Measurement of the Fluctuations in the Number of Muons in Extensive Air Showers with the Pierre Auger Observatory
Phys. Rev. Lett., 126 (15) :152002
20214494.
Gesell, H.; Gutt, R.; Janssen, N.; Janoske, U.
Modeling of the Aluminium Electrolysis Process: Feeding and Dissolution of Alumina Particles
presented at NAFEMS World Congress 2022
Oktober 20214493.
Pereira Vaz, Nuno; Bohrmann-Linde, Claudia
Modellexperiment Treibhauseffekt 2.0
Naturwissenschaften im Unterricht Chemie, 5/21 (32) :26--31
20214492.
Abreu, Pedro; others
Monte Carlo simulations for the Pierre Auger Observatory using the VO auger grid resources
PoS, ICRC2021 :232
2021