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



2025

5432.

Lorenz, Jan; Zwerschke, Tom; Günther, Michael; Schäfers, Kevin
Operator splitting for coupled linear port-Hamiltonian systems
Applied Mathematics Letters, 160 :109309
2025
Herausgeber: Elsevier

5431.

Lorenz, Jan; Zwerschke, Tom; Günther, Michael; Schäfers, Kevin
Operator splitting for coupled linear port-Hamiltonian systems
Applied Mathematics Letters, 160 :109309
2025
Herausgeber: Elsevier

5430.

Sinani, Mario; Wynn, Andrew; Palacios, Rafael
Physics-Informed Data-Driven Modelling of Nonlinear Aerodynamic Forces of the Pazy Wing
AIAA SciTech Forum, 6-10 January
01 2025

5429.

Vinod, Vivin; Lyu, Dongyu; Ruth, Marcel; R. Schreiner, Peter; Kleinekathöfer, Ulrich; Zaspel, Peter
Predicting Molecular Energies of Small Organic Molecules With Multi-Fidelity Methods
J. Comp. Chem., 46 (6) :e70056
2025

5428.

[german] Zeller, Diana; Bohrmann-Linde, Claudia; Mack, Nils; Schrader, Claudia
Produktion eigener VR-Lernsettings im Projekt FoPro-VR. Ein interdisziplinärer Lehransatz für die Lehramtsausbildung
In Mrohs, Lorenz; Franz, Julia; Herrmann, Dominik; Lindner, Konstantin; Staake, Thorsten, Editor, Digitales Lehren und Lernen an der Hochschule. Strategien - Bedingungen - Umsetzung
Seite 191-204
Herausgeber: transcript, Bielefeld
2025
191-204

ISBN: 9783839471203

5427.

Vinod, Vivin; Zaspel, Peter
QeMFi: A Multifidelity Dataset of Quantum Chemical Properties of Diverse Molecules
Sci. Data, 12 (1) :202
2025
Herausgeber: Nature Publishing Group
ISSN: 2052-4463

5426.

Xue, Chaoyang; Chen, Hui; McGillen, Max R.; Su, Hang; Cheng, Yafang; Kleffmann, Jörg; Li, Guo; Cazaunau, Mathieu; Colomb, Aurélie; Sciare, Jean; DeWitt, Langley; Marchand, Nicolas; Sarda-Esteve, Roland; Petit, Jean-Eudes; Kukui, Alexandre
Role of Heterogeneous Reactions in the Atmospheric Oxidizing Capacity in Island Environments
Environmental Science & Technology, 59 (6) :3153—3164
Februar 2025
ISSN: 0013-936X, 1520-5851

5425.

Patel, Vivak; Maldonado, D Adrian; Melnichenko, Maksim; Pritchard, Nathaniel; Rao, Vishwas; Rebrova, Elizaveta; Sankararaman, Sriram; Schweitzer, Marcel
Scientific Applications Leveraging Randomized Linear Algebra
2025

5424.

Clément, François; Doerr, Carola; Klamroth, Kathrin; Paquete, Luís
Searching Permutations for Constructing Uniformly Distributed Point Sets
Proceedings of the National Academy of Sciences, 122 (14) :e2424464122
2025

5423.

Heintz, Chris; Kersten, Hendrik; Benter, Thorsten; Wissdorf, Walter
Signatures of Charged Droplets from ESI: A Statistical Analysis of Non-summed Mass Spectra Compared to APCI
Journal of the American Society for Mass Spectrometry, 36 (4) :839—849
April 2025
ISSN: 1044-0305, 1879-1123

5422.

Palitta, Davide; Schweitzer, Marcel; Simoncini, Valeria
Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions
Numer. Linear Algebra Appl., 32 :e2596
2025

5421.

Liu, Qian; Yanchang, Zhang; Zuan, Wang; Wang, Miao; Zhao, Xiaowei
Small-signal stability of sequence-decomposed grid-forming IBRs with DC-link voltage dynamics
Februar 2025

5420.

Arora, Sahiba; Mui, Jonathan
Smoothing of operator semigroups under relatively bounded perturbations
2025

5419.

Santos, Daniela Dos; Klamroth, Kathrin; Martins, Pedro; Paquete, Luís
Solving the Multiobejctive Quasi-Clique Problem
European Journal of Operational Research, 323 :409—424
2025

5418.

Kiesling, Elisabeth
Unterrichtsmaterial Kreislaufwirtschaft - Den Kreislauf in Schwung bringen: Arbeitsblatt: 2.4 Carbon Capture and Stoage und Experiment: 2.5 Modellversuch zur Speicherung von Kohlenstoffdioxid in Kohleflözen
In Dr. Karl Hübner, Prof. Dr. Bernd Ralle, Editor
Herausgeber: Fonds der Chemischen Industrie im Verband der Chemischen Industrie e. V. (FCI)
April 2025

5417.

[german] Zeller, Diana; Ramella, Abigail; Mack, Nils; Schrader, Claudia; Bohrmann-Linde, Claudia
Virtual Reality im Unterricht – Potentiale und Herausforderungen beim Einsatz von VR im Chemieunterricht
MNU-Journal, 04/2025 :284-289
2025

5416.

[german] Kiesling, Elisabeth; Bohrmann-Linde, Claudia
Von der Leitlinie BNE zum bilingual-englischen Schülerlabor- Konzeption, Erprobung und Evaluation einer bilingualen Experimentierumgebung im Fach Chemie zum Thema Carbon Capture and Storage
In Andreas Keil, Annika Hanau und Julian Dietze (Hg.): BNE in der Lehrkräftebildung. Erkenntnisse aus Forschung und Praxis., Editor, BNE in der Lehrkräftebildung - Erkenntnisse aus Forschung und Praxis
Seite 327-344
Herausgeber: Waxmann
Mai 2025
327-344

ISBN: 978-3-8188-0035-2

5415.

[german] Zeller, Diana; Bohrmann-Linde, Claudia; Mack, Nils; Schrader, Claudia
VR-Lernsettings zum Thema Verbrennungsreaktionen. Ein interdisziplinäres Lehrprojekt zur Produktion von VR-Räumen durch Lehramtsstudierende
In Johannes Huwer, Timm Wilke, Amitabh Banerji, Editor, Band Progress in Digitalisation in Chemistry Education 2024 Digitales Lehren und Lernen an Hochschule und Schule im Fach Chemie
Seite 79-84
Herausgeber: Waxmann Verlag, Münster New York
2025
79-84

ISBN: ISBN 978-3-8188-0042-0

5414.

Elghazi, Bouchra; Jacob, Birgit; Zwart, Hans
Well-posedness of a class of infinite-dimensional port-Hamiltonian systems with boundary control and observation
Januar 2025

5413.

Testa, Filippo
Well-Posedness of the Hodge Wave Equation on a Compact Manifold
2025

5412.

Acu, A.M.; Heilmann, Margareta; Raşa, I.
Convergence of linking Durrmeyer type modifications of generalized Baskatov operators
Bulleting of the Malaysian Math. Sciences Society

5411.

Ehrhardt, Matthias
Ein einfaches Kompartment-Modell zur Beschreibung von Revolutionen am Beispiel des Arabischen Frühlings

5410.

Günther, Michael
Einführung in die Finanzmathematik

5409.

Al{\i}, G; Bartel, A
Electrical RLC networks and diodes

5408.

Gjonaj, Erion; Bahls, Christian Rüdiger; Bandlow, Bastian; Bartel, Andreas; Baumanns, Sascha; Belzen, F; Benderskaya, Galina; Benner, Peter; Beurden, MC; Blaszczyk, Andreas; others
Feldmann, Uwe, 143 Feng, Lihong, 515 De Gersem, Herbert, 341 Gim, Sebasti{\'a}n, 45, 333
MATHEMATICS IN INDUSTRY 14 :587