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



2021

4618.

Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Càdlàg semimartingale strategies for optimal trade execution in stochastic order book models
Finance and Stochastics, 25 (4) :757--810
2021
Herausgeber: Springer Berlin Heidelberg

4617.

Bohrmann-Linde, Claudia; Siehr, Ilona
Chemie Baden-Württemberg Chemie Gesamtband 11-12
Herausgeber: C.C.Buchner Verlag, Bamberg
2021

ISBN: 978-3-661-06011-8

4616.

Harbrecht, Helumt; Jakeman, John D; Zaspel, Peter
Cholesky-Based Experimental Design for Gaussian Process and Kernel-Based Emulation and Calibration
CiCP, 29 (4) :1152-1185
2021

4615.

Gaul, Daniela; Schmidt, Daniel R.
Chvátal-Gomory cuts for the Steiner tree problem
Discrete Applied Mathematics, 291 :188-200
2021
ISSN: 0166-218X

4614.

Schimp, Michael; others
Combined Search for UHE Neutrinos from Binary Black Hole Mergers with the Pierre Auger Observatory
PoS, ICRC2021 :968
2021

4613.

Kandolf, Peter; Koskela, Antti; Relton, Samuel D.; Schweitzer, Marcel
Computing low-rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods
Numer. Linear Algebra Appl., 28 (6) :e2401, 31
2021
ISSN: 1070-5325

4612.

Kandolf, Peter; Koskela, Antti; Relton, Samuel D.; Schweitzer, Marcel
Computing low-rank approximations of the Frechet derivative of a matrix function using Krylov subspace methods
Numer. Linear Algebra Appl., 28 (6) :e2401, 31
2021
ISSN: 1070-5325

4611.

Kandolf, Peter; Koskela, Antti; Relton, Samuel D.; Schweitzer, Marcel
Computing low-rank approximations of the Frechet derivative of a matrix function using Krylov subspace methods
Numer. Linear Algebra Appl., 28 (6) :e2401, 31
2021
ISSN: 1070-5325

4610.

Gottowik, Marvin; Schl\"uter, Felix; Huege, Tim; Rautenberg, Julian
CoREAS simulations of inclined air showers predict refractive displacement of the radio-emission footprint
PoS, ICRC2021 :277
2021

4609.

Jacob, Birgit; Schwenninger, Felix; Vorberg, Lukas
Correction to: Remarks on input-to-state stability of collocated systems with saturated feedback
Math. Control Signals Systems, 33 :195
2021

4608.

Bannenberg, MWFM; Ciccazzo, Angelo; Günther, Michael
Coupling of model order reduction and multirate techniques for coupled dynamical systems
Applied Mathematics Letters, 112 :106780
2021
Herausgeber: Pergamon

4607.

Bannenberg, MWFM; Ciccazzo, Angelo; Günther, Michael
Coupling of model order reduction and multirate techniques for coupled dynamical systems
Applied Mathematics Letters, 112 :106780
2021
Herausgeber: Elsevier

4606.

Bannenberg, MWFM; Ciccazzo, Angelo; Günther, Michael
Coupling of model order reduction and multirate techniques for coupled dynamical systems
Applied Mathematics Letters, 112 :106780
2021
Herausgeber: Elsevier

4605.

Alves Batista, Rafael; others
CRPropa 3.2: a framework for high-energy astroparticle propagation
PoS, ICRC2021 :978
2021

4604.

Aab, Alexander; others
Deep-learning based reconstruction of the shower maximum $X_{max}$ using the water-Cherenkov detectors of the Pierre Auger Observatory
JINST, 16 (07) :P07019
2021

4603.

Grogorick, Linda
Design und Implementierung eines Serious Games zur Steigerung des Lernerfolgs am Beispiel der Informationskompetenz
Dissertation
Dissertation
2021

4602.

Klosterköther, Anja; Kurtenbach, Ralf; Wiesen, Peter; Kleffmann, Jörg
Determination of the emission indices for NO, NO\(_{2}\), HONO, HCHO, CO, and particles emitted from candles
Indoor Air, 31 (1) :116--127
Januar 2021
ISSN: 0905-6947, 1600-0668

4601.

[german] Grandrath, Rebecca; Zeller, Diana; Bohrmann-Linde, Claudia
Digitale Lehr- und Lerntools für den Chemieunterricht mithilfe von Powerpoint. Teil 2.
Chemie & Schule, 36 (1) :13-16
Januar 2021

4600.

Grogorick, Linda; Robra-Bissantz, Susanne
Digitales Lernen und Lehren: Führt Corona zu einer zeitgemäßen Bildung?
HMD- Praxis der Wirtschaftsinformatik, 58 (6) :1296–1312
2021

4599.

Rendon Enriquez, Ibeth N.; Körber, Florian; Palma-Cando, Alex; Scherf, Ullrich; Tausch, Michael W.
Dünne Polymerfilme durch oxydative oder reduktive Elektropolymerisation für eine Anwendung in elektrochromen Fenstern und als Dünnschichtsensoren
Chemie in unserer Zeit
2021

4598.

Günther, Michael; Bartel, Andreas; Jacob, Birgit; Reis, Timo
Dynamic iteration schemes and port-Hamiltonian formulation in coupled DAE circuit simulation
International Journal of Circuit Theory and Applications, 49 (2) :430--452
2021

4597.

Günther, Michael; Bartel, Andreas; Jacob, Birgit; Reis, Timo
Dynamic iteration schemes and port-Hamiltonian formulation in coupled differential-algebraic equation circuit simulation
International Journal of Circuit Theory and Applications, 49 (2) :430–452
2021
Herausgeber: John Wiley & Sons

4596.

Günther, Michael; Bartel, Andreas; Jacob, Birgit; Reis, Timo
Dynamic iteration schemes and port-Hamiltonian formulation in coupled differential-algebraic equation circuit simulation
International Journal of Circuit Theory and Applications, 49 (2) :430–452
2021
Herausgeber: John Wiley & Sons

4595.

[german] Grandrath, Rebecca; Bohrmann-Linde, Claudia
E-Book-flankiertes Experimentalkonzept zu mikrobiellen Brennstoffzellen in der Sekundarstufe II
Digitalisation in Chemistry Education. Digitales Lehren und Lernen an Hochschule und Schule im Fach Chemie
Seite 133-141
Herausgeber: Johannes Huwer, Amitabh Banerji und Nicole Graulich, Waxmann, Münster
2021
133-141

ISBN: 978-3-8309-4418-8

4594.

Felpel, M.; Kienitz, J.; McWalter, T. A.
Effective stochastic volatility: Applications to {ZABR}-type models
Quantitative Finance, 21 (5) :837-852
2021
Herausgeber: Routledge