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
- 2019
3992.
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 Press3991.
Jacob, Birgit; Wegner, Sven-Ake
Well-posedness of a class of hyperbolic partial differential equations on the semi-axis
J. Evol. Equ., 19 (4) :1111--1147
20193990.
Jacob, Birgit; Kaiser, Julia T.
Well-posedness of systems of 1-{D} hyperbolic partial differential equations
J. Evol. Equ., 19 (1) :91--109
20193989.
Jacob, Birgit; Kaiser, Julia T.
Well-posedness of systems of 1-D hyperbolic partial differential equations
J. Evol. Equ., 19 (1) :91--109
20193988.
Ehrhardt, Matthias
Wide-angle mode parabolic equation with transparent boundary conditions and its applications in shallow water acoustics
2019 Days on Diffraction (DD), Seite 221–225
IEEE
Herausgeber: IEEE
20193987.
Ehrhardt, Matthias
Wide-angle mode parabolic equation with transparent boundary conditions and its applications in shallow water acoustics
2019 Days on Diffraction (DD), Seite 221--225
IEEE
20193986.
Ehrhardt, Matthias
Wide-angle mode parabolic equation with transparent boundary conditions and its applications in shallow water acoustics
2019 Days on Diffraction (DD), Seite 221–225
IEEE
Herausgeber: IEEE
20193985.
Cuny, Christophe; Eisner, Tanja; Farkas, Bálint
Wiener's lemma along primes and other subsequences
Advances in Mathematics, 347 :340 - 383
20193984.
Jacob, Birgit; Morris, Kirsten A.; Zwart, Hans
Zero dynamics for networks of waves
Automatica J. IFAC, 103 :310--321
2019- 2018
3983.
Sharma, M. K.; Göstl, Robert; Frijns, A. J. H.; Wieringa, F. P.; Kooman, J. P.; Sijbesma, R. P.; Smeulders, D. M. J.
A Fluorescent Micro-Optofluidic Sensor for In-Line Ion Selective Electrolyte Monitoring
IEEE Sensors Journal, 18 (10) :3946--3951
Mai 2018
ISSN: 1530-437X3982.
[1,2]-Migration Reactions Catalyzed by Gold Complexes and their Applications in Total Synthesis
Israel Journal of Chemistry, 58 (5) :596–607
2018
ISSN: 1869-58683981.
Jacob, Birgit; Partington, Jonathan R.; Pott, Sandra; Wynn, Andrew
{\(\beta\)}-admissibility of observation operators for hypercontractive semigroups
J. Evol. Equ., 18 (1) :153--170
20183980.
Jacob, Birgit; Partington, Jonathan R.; Pott, Sandra; Wynn, Andrew
β-admissibility of observation operators for hypercontractive semigroups
J. Evol. Equ., 18 (1) :153--170
20183979.
Daners, Daniel; Glück, Jochen
A criterion for the uniform eventual positivity of operator semigroups
Integral Equations Operator Theory, 90 (4) :Paper No. 46, 19
20183978.
Farkas, Bálint; Nagy, Béla; Révész, Szilárd Gy.
A minimax problem for sums of translates on the torus
Transactions of the London Mathematical Society, 5 (1) :1-46
20183977.
Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
A new convergent explicit tree-grid method for HJB equations in one space dimension
Numerical Mathematics: Theory, Methods and Applications, 11 (1) :1–29
2018
Herausgeber: Global Science Press3976.
Ehrhardt, Matthias; Günther, Michael
A new convergent explicit Tree-Grid method for HJB equations in one space dimension
Preprint, 17 (06)
20183975.
Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
A new convergent explicit tree-grid method for HJB equations in one space dimension
Numerical Mathematics: Theory, Methods and Applications, 11 (1) :1–29
2018
Herausgeber: Global Science Press3974.
Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
A new convergent explicit tree-grid method for HJB equations in one space dimension
Numerical Mathematics: Theory, Methods and Applications, 11 (1) :1–29
2018
Herausgeber: Global Science Press3973.
Heilmann, Margareta; Raşa, Ioan
A nice representation for a link between Baskakov-and Szász–Mirakjan–Durrmeyer operators and their kantorovich variants
Results in Mathematics, 74 (1) :9
20183972.
Glück, Jochen
A note on lattice ordered $C^*$-algebras and Perron-Frobenius theory
Math. Nachr., 291 (11-12) :1727--1732
20183971.
Bartel, Andreas; Ehrhardt, Matthias
A numerical tool for the study of the hydrodynamic recovery of the lattice Boltzmann Method
Computers & Fluids, 172 :241–250
2018
Herausgeber: Pergamon3970.
Bartel, Andreas; Ehrhardt, Matthias
A numerical tool for the study of the hydrodynamic recovery of the Lattice Boltzmann Method
Computers & Fluids, 172 :241--250
2018
Herausgeber: Pergamon3969.
Bartel, Andreas; Ehrhardt, Matthias
A numerical tool for the study of the hydrodynamic recovery of the lattice Boltzmann Method
Computers & Fluids, 172 :241–250
2018
Herausgeber: Pergamon3968.
Harbrecht, Helmut; Zaspel, Peter
A scalable H-matrix approach for the solution of boundary integral equations on multi-GPU clusters
2018