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
4467.
Farkas, Bálint; Friesen, Martin; Rüdiger, Barbara; Schroers, Dennis
On a class of stochastic partial differential equations with multiple invariant measures
NoDEA
20214466.
Glück, Jochen
On disjointness, bands and projections in partially ordered vector spaces
Positivity and its applications aus Trends Math.
Seite 141--171
Herausgeber: Birkhäuser/Springer, Cham
2021
141--1714465.
Glück, Jochen
On the decoupled Markov group conjecture
Bull. Lond. Math. Soc., 53 (1) :240--247
20214464.
Farkas, Bálint; Nagy, Béla; Révész, Szilárd Gy.
On the weighted Bojanov-Chebyshev problem and the sum of translates method of Fenton
20214463.
Csomós, Petra; Ehrhardt, Matthias; Farkas, Bálint
Operator splitting for abstract Cauchy problems with dynamical boundary condition
Operators and Matrices, 15 (3) :903–935
2021
Herausgeber: Element d.o.o4462.
Csomós, Petra; Ehrhardt, Matthias; Farkas, Bálint
Operator splitting for abstract Cauchy problems with dynamical boundary condition
Operators and Matrices, 15 (3) :903–935
2021
Herausgeber: Element d.o.o4461.
Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Optimal trade execution in an order book model with stochastic liquidity parameters
SIAM Journal on Financial Mathematics, 12 (2) :788--822
2021
Herausgeber: Society for Industrial and Applied Mathematics4460.
Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Optimal trade execution in an order book model with stochastic liquidity parameters
SIAM Journal on Financial Mathematics, 12 (2) :788–822
2021
Herausgeber: Society for Industrial and Applied Mathematics4459.
De Sterck, H.; Falgout, R. D.; Friedhoff, S.; Krzysik, O. A.; MacLachlan, S. P.
Optimizing multigrid reduction-in-time and parareal coarse-grid operators for linear advection
Numer. Linear Algebra Appl., 28 (4) :Paper No. e2367, 22
20214458.
De Sterck, H.; Falgout, R. D.; Friedhoff, S.; Krzysik, O. A.; MacLachlan, S. P.
Optimizing multigrid reduction-in-time and parareal coarse-grid operators for linear advection
Numer. Linear Algebra Appl., 28 (4) :Paper No. e2367, 22
20214457.
De Sterck, H.; Falgout, R. D.; Friedhoff, S.; Krzysik, O. A.; MacLachlan, S. P.
Optimizing multigrid reduction-in-time and parareal coarse-grid operators for linear advection
Numer. Linear Algebra Appl., 28 (4) :Paper No. e2367, 22
20214456.
Aragão Belé, Tiago Gomes; Neves, Tauany F.; Cristale, Joyce; Prediher, Patrícia; Constapel, Marc; Dantas, Renato F.
Oxidation of microplastics by O3 and O3/H2O2: Surface modification and adsorption capacity
Journal of Water Process Engineering, 41
20214455.
Goettlich, Simone; Totzeck, Claudia
Parameter calibration with stochastic gradient descent for interacting particle systems driven by neural networks
Mathematics of Control, Signals, and Systems, 34 :185-214
20214454.
Kulchytska-Ruchka, I.; Schöps, S.; Hinze, M.; Friedhoff, S.; Ulbrich, S.
PASIROM: parallel simulation and robust optimization of electro-mechanical energy converters
, German success stories in industrial mathematics Band 35 aus Math. Ind.
Seite 135-140
Herausgeber: Springer, Cham
2021
135-1404453.
Kulchytska-Ruchka, I.; Schöps, S.; Hinze, M.; Friedhoff, S.; Ulbrich, S.
PASIROM: parallel simulation and robust optimization of electro-mechanical energy converters
, German success stories in industrial mathematics Band 35 aus Math. Ind.
Seite 135-140
Herausgeber: Springer, Cham
2021
135-1404452.
Kulchytska-Ruchka, I.; Schöps, S.; Hinze, M.; Friedhoff, S.; Ulbrich, S.
PASIROM: parallel simulation and robust optimization of electro-mechanical energy converters
, German success stories in industrial mathematics Band 35 aus Math. Ind.
Seite 135-140
Herausgeber: Springer, Cham
2021
135-1404451.
[english] Zimmermann, Marc; Domke, Dennis; Schween, Michael
Photobromination (SR) and Corresp. SN1 Reactions – Key Reactions for the Development and the Application of the Concept of Hyperconjugation
World Journal of Chemical Education, 9 :175-184
20214450.
Ehrhardt, Matthias
Pricing basket default swaps using quasi-analytic techniques
Decisions in Economics and Finance, 44 :241–267
2021
Herausgeber: Springer Verlag Italia4449.
Ehrhardt, Matthias
Pricing basket default swaps using quasi-analytic techniques
Decisions in Economics and Finance, 44 :241–267
2021
Herausgeber: Springer Verlag Italia4448.
Ehrhardt, Matthias
Pricing basket default swaps using quasi-analytic techniques
Decisions in Economics and Finance, 44 :241--267
2021
Herausgeber: Springer International Publishing4447.
Stiglmayr, Michael; Gaul, Daniela
Projekt Ride-Hailing Wuppertal
In Matthias Ehrhardt and Michael G, Editor, Erfolgsformeln - Anwendungen der Mathematik
20214446.
Frommer, Andreas; Jacob, Birgit; Vorberg, Lukas; Wyss, Christian; Zwaan, Ian
Pseudospectrum enclosures by discretization
Integral Equations OperatorTheory, 93 :Article No 9, 32 p.
20214445.
Celik, Ibrahim E.
Reactivity of Organic Geminal Diazides at Tetrahedral Carbons
European Journal of Organic Chemistry, 2021 (1) :53–63
2021
ISSN: 1434-193X, 1099-06904444.
Bannenberg, MWFM; Ciccazzo, A
Reduced order multirate schemes for coupled differential-algebraic systems
Applied Numerical Mathematics, 168 :104--114
2021
Herausgeber: North-Holland4443.
Bannenberg, MWFM; Ciccazzo, A
Reduced order multirate schemes for coupled differential-algebraic systems
Applied Numerical Mathematics, 168 :104–114
2021
Herausgeber: North-Holland