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



2020

4341.

Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh
A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations
SN Partial Differential Equations and Applications, 1 (2) :1–34
2020
Herausgeber: Springer International Publishing

4340.

Aab, Alexander; others
A Search for Ultra-high-energy Neutrinos from TXS 0506+056 Using the Pierre Auger Observatory
Astrophys. J., 902 (2) :105
2020

4339.

Kühn, J.; Bartel, A.; Putek, P.
A Thermal Extension of Tellinen's Scalar Hysteresis Model
, Scientific Computing in Electrical Engineering SCEE 2018BandXausMathematics in Industry
Herausgeber: Springer, Berlin
2020

4338.

Kühn, Jan; Bartel, Andreas; Putek, Piotr
A thermal extension of Tellinen’s scalar hysteresis model
In Nicosia, Giuseppe and Romano, Vittorio, Editor, Scientific Computing in Electrical Engineering: SCEE 2018, Taormina, Italy, September 2018ausMathematics in Industry, Seite 55–63
In Nicosia, Giuseppe and Romano, Vittorio, Editor
Herausgeber: Springer Cham
2020

4337.

Kruse, Thomas; Schneider, Judith C; Schweizer, Nikolaus
A toolkit for robust risk assessment using F-divergences
Management Science
2020
Herausgeber: INFORMS Inst. for Operations Res. and the Management Sciences

4336.

Kruse, Thomas; Schneider, Judith; Schweizer, Nikolaus
A toolkit for robust risk assessment using F-divergences
Management Science, 67 (10)
2020
Herausgeber: INFORMS

4335.

Wolf, Julian; Huber, Florian; Erochok, Nikita; Heinen, Flemming; Guérin, Vincent; Legault, Claude Y.; Huber, Stefan M.
Activation of a Metal‐Halogen Bond by Halogen Bonding
Angewandte Chemie International Edition, 59 (38) :16496–16500
2020
ISSN: 1433-7851, 1521-3773

4334.

Glück, Jochen; Weber, Martin R.
Almost interior points in ordered Banach spaces and the long-term behaviour of strongly positive operator semigroups
Studia Math., 254 (3) :237--263
2020

4333.

[german] Zeller, Diana; Bohrmann-Linde, Claudia
Alternative Solarzellen mit Titandioxid - Ein Mentoring Projekt
MNU, 73 (2) :108--112
2020

4332.

Totzeck, Claudia
An anisotropic interaction model with collision avoidance
Kinetic and Related Models, 13 (6) :1219-1242
2020

4331.

Kruse, Thomas; Urusov, Mikhail
Approximating exit times of continuous Markov processes
Discrete and Continuous Dynamical Systems-B, 25 (9) :3631–3650
2020
Herausgeber: American Institute of Mathematical Sciences

4330.

[german] Grandrath, Rebecca; Bohrmann-Linde, Claudia
BNE-Strukturen gemeinsam gestalten. Fachdidaktische Perspektiven und Forschungen zu Bildung für nachhaltige Entwicklung in der Lehrkräftebildung.
Band 13 aus Erziehungswissenschaft und Weltgesellschaft
Kapitel Chemiedidaktik als BNE-Multiplikator - Arbeitskreispraktika zur Erprobung von Schulversuchen und deren Reflexion hinsichtlich des BNE-Bezug., Seite 83-94
Herausgeber: Andreas Keil, Miriam Kuckuck und Mira Faßbender, Waxman, Münster
2020
83-94

ISBN: 978-3-8309-4158-3

4329.

Bohrmann-Linde, Claudia; Kröger, Simone; Siehr (Hrsg.), Ilona
Chemie 2 - Gymnasium G9 NRW
Herausgeber: C.C.Buchner
2020

4328.

Bohrmann-Linde, Claudia; Kröger, Simone; Siehr (Hrsg.), Ilona
Chemie Gesamtband Sek I NRW
Herausgeber: C.C.Buchner
2020

4327.

Tausch, Michael W.
Chemie mit Licht - Innovative Didaktik für Studium und Lehre
Herausgeber: Springer Verlag
2020

ISBN: 978-3-662-60376-5

4326.

Tiemann, Myrel; Clemens, Markus; Schmuelling, Benedikt
Comparison of Conventional and Magnetizable Concrete Core Designs in Wireless Power Transfer for Electric Vehicles
2020 {IEEE} {PELS} Workshop on Emerging Technologies: Wireless Power Transfer ({WoW})
Herausgeber: {IEEE}
November 2020

4325.

Totzeck, Claudia; Wolfram, Marie-Therese
Consensus-Based Global Optimization with Personal Best
Mathematical Biosciences and Engineering, 17 (5) :6026-6044
2020

4324.

Günther, Michael; Höllwiesera, Roman; Knechtli, Francesco
Constrained HMC algorithms for Gauge-Higgs models
, AIP Conference ProceedingsBand2293, Seite 290004
AIP Publishing LLC
2020

4323.

Günther, Michael; Höllwieser, Roman; Knechtli, Francesco
Constrained hybrid Monte Carlo algorithms for Gauge-Higgs models
Computer Physics Communications, 254 :107192
2020
Herausgeber: Elsevier

4322.

Günther, Michael; Höllwieser, Roman; Knechtli, Francesco
Constrained hybrid Monte Carlo algorithms for Gauge-Higgs models
Computer Physics Communications, 254 :107192
2020
Herausgeber: Elsevier

4321.

Günther, Michael; Höllwieser, Roman; Knechtli, Francesco
Constrained hybrid Monte Carlo algorithms for gauge-Higgs models
Computer Physics Communications, 254 :107192
2020
Herausgeber: North-Holland

4320.

De Sterck, H.; Friedhoff, S.; Howse, A. J. M.; MacLachlan, S. P.
Convergence analysis for parallel-in-time solution of hyperbolic systems
Numer. Linear Algebra Appl., 27 (1) :e2271, 31
2020

4319.

De Sterck, H.; Friedhoff, S.; Howse, A. J. M.; MacLachlan, S. P.
Convergence analysis for parallel-in-time solution of hyperbolic systems
Numer. Linear Algebra Appl., 27 (1) :e2271, 31
2020

4318.

De Sterck, H.; Friedhoff, S.; Howse, A. J. M.; MacLachlan, S. P.
Convergence analysis for parallel-in-time solution of hyperbolic systems
Numer. Linear Algebra Appl., 27 (1) :e2271, 31
2020

4317.

Abel, Ulrich; Heilmann, Margareta; Kushnirevych, Vitaliy
Convergence of linking Baskakov-type operators
Periodica Mathematica Hungarica, 80 :280-288
2020