Applied and Computational Mathematics (ACM)

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

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

Cooperation

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 Press

4742.

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: 2075-1354

4741.

Kienitz, Jörg
Stochastic volatility – a story of two decades of SABR and Wilmott magazine
Wilmott, 2022 (121) :24–26
2022
Herausgeber: Wilmott Magazine

4740.

[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
2022

ISBN: 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
2022

4738.

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
2022

4737.

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
2022

4736.

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
2022

4735.

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
2022

4734.

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--483

4733.

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
2022

4732.

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
2022

4731.

Maharjan, Drishti; Zaspel, Peter
Toward data-driven filters in paraview
JFV, 29 (3)
2022

4730.

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
2022

4729.

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: Elsevier

4728.

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: Elsevier

4727.


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-Holland

4726.

Glück, Jochen; Martin, Florian G.
Uniform convergence of stochastic semigroups
Israel J. Math., 247 (1) :1--19
2022

4725.

Ud Din, Bashir
Validation of Monte Carlo simulated processes from pp collisions at the LHC using neural networks
2022

4724.

Acu, Ana-Maria; Dancs, Madalina; Heilmann, Margareta; Raşa, Ioan; Paşca, Vlad
Voronovskaya type results for special sequences of operators
RACSAM, 116,19
2022

4723.

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: 1680-7324

4721.

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 2021

4719.

[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