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

4968.

Schulte, M. Friederike; Izak-Nau, Emilia; Braun, Susanne; Pich, Andrij; Richtering, Walter; Göstl, Robert
Microgels react to force: mechanical properties, syntheses, and force-activated functions
Chemical Society Reviews, 51 (8) :2939--2956
April 2022
ISSN: 1460-4744

4967.

[german] Gökkus, Yasemin; Tausch, Michael W.
Explorative Studie zur partizipativen und nutzenorientierten Forschung in der Chemiedidaktik
CHEMKON, 29 (3) :117-124
April 2022

4966.

Bartel, Andreas; Ehrhardt, Matthias
Lagrangian instabilities in thermal convection with stable temperature profiles
arXiv preprint arXiv:2205.03856
April 2022

4965.

Küng, Robin; Göstl, Robert; Schmidt, Bernd M.
Release of Molecular Cargo from Polymer Systems by Mechanochemistry
Chemistry – A European Journal, 28 (17) :e202103860
März 2022
ISSN: 1521-3765

4964.

Heyden, von der, Lisa; Wissdorf, Walter; Kurtenbach, Ralf; Kleffmann, Jörg
A relaxed eddy accumulation (REA) LOPAP system for flux measurements of nitrous acid (HONO)
Atmospheric Measurement Techniques, 15 (6) :1983--2000
März 2022
ISSN: 1867-8548

4963.

Xue, Chaoyang; Ye, Can; Kleffmann, Jörg; Zhang, Chenglong; Catoire, Valéry; Bao, Fengxia; Mellouki, Abdelwahid; Xue, Likun; Chen, Jianmin; Lu, Keding; Zhao, Yong; Liu, Hengde; Guo, Zhaoxin; Mu, Yujing
Atmospheric measurements at Mt. Tai – Part I: HONO formation and its role in the oxidizing capacity of the upper boundary layer
Atmospheric Chemistry and Physics, 22 (5) :3149—3167
März 2022
ISSN: 1680-7324

4962.

Stratigaki, Maria; Baumann, Christoph; Göstl, Robert
Confocal Microscopy Visualizes Particle–Crack Interactions in Epoxy Composites with Optical Force Probe-Cross-Linked Rubber Particles
Macromolecules, 55 (3) :1060--1066
Februar 2022
ISSN: 0024-9297

4961.

Villena, Guillermo; Kleffmann, Jörg
A source for the continuous generation of pure and quantifiable HONO mixtures
Atmospheric Measurement Techniques, 15 (3) :627--637
Februar 2022
ISSN: 1867-8548

4960.

Kalalian, Carmen; Grira, Asma; Illmann, Jan Niklas; Patroescu-Klotz, Iulia; El Dib, Gisèle; Coddeville, Patrice; Canosa, André; Wiesen, Peter; Aazaad, Basheer; Senthilkumar, Lakshmipathi; Roth, Estelle; Tomas, Alexandre; Chakir, Abdelkhaleq
Experimental and Theoretical Studies of Trans-2-Pentenal Atmospheric Ozonolysis
Atmosphere, 13 (2) :291
Februar 2022
ISSN: 2073-4433

4959.

Cardona, Alejandro L.; Gibilisco, Rodrigo G.; Rivela, Cynthia B.; Blanco, María B.; Patroescu-Klotz, Iulia; Illmann, Niklas; Wiesen, Peter; Teruel, Mariano A.
Kinetics, product distribution and atmospheric implications of the gas-phase oxidation of allyl sulfides by OH radicals
Chemosphere, 288 :132546
Februar 2022
ISSN: 00456535

4958.

Jäschke, J.; Skrepek, N.; Ehrhardt, M.
Mixed-Dimensional Geometric Coupling of Port-{Hamiltonian} Systems
IMACM preprint 22/04
Februar 2022

4957.

Meng, Zhuojun; Liu, Qing; Zhang, Yi; Sun, Jing; Yang, Chenjing; Li, Hongyan; Loznik, Mark; Göstl, Robert; Chen, Dong; Wang, Fan; Clark, Noel A.; Zhang, Hongjie; Herrmann, Andreas; Liu, Kai
Highly Stiff and Stretchable DNA Liquid Crystalline Organogels with Super Plasticity, Ultrafast Self-Healing, and Magnetic Response Behaviors
Advanced Materials, 34 (3) :2106208
Januar 2022
ISSN: 1521-4095

4956.

Zou, Miancheng; Zhao, Pengkun; Huo, Shuaidong; Göstl, Robert; Herrmann, Andreas
Activation of Antibiotic-Grafted Polymer Brushes by Ultrasound
ACS Macro Letters, 11 (1) :15-19
Januar 2022

4955.

Ballaschk, Frederic; Kirsch, Stefan F.
Oxidations with Iodine(V) Compounds – From Stoichiometric Compounds to Catalysts
In Ishihara, Kazuaki and Muñiz, Kilian, Editor, Iodine Catalysis in Organic Synthesis
Seite 299–334
Herausgeber: Wiley
1 Edition
Januar 2022
299–334

4954.

Burgmann, Sebastian; Krämer, Veronika; Dues, Michael; Steinbock, Jonas; Büttner, Lars; Czarske, Juergen; Janoske, Uwe
tm - Technisches Messen, 89 (3) :178--188
2022

4953.

[german] Zeller, Diana; Bohrmann-Linde, Claudia
#debunk YouTube-Videos - Ein didaktisches Konzept zum Einsatz von Videos im Chemieunterricht zur Stärkung der Digital Scientific Literacy
MNU journal, 75 (03) :197-201
2022

4952.

Acu, Ana-Maria; Dancs, Madalina; Heilmann, Margareta; Raşa, Ioan; Paşca, Vlad
A Bernstein-Schnabl type operator
Applicable Analysis and Discrete Mathematics, 16(2) :495-507
2022

4951.

Klass, Friedemann; Gabbana, Alessandro; Bartel, Andreas
A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods
Accepted at Commun. Comput. Phys.
2022

4950.

Arora, Sahiba; Glück, Jochen
A characterization of the individual maximum and anti-maximum principle
2022

4949.

Fatoorehchi, Hooman; Ehrhardt, Matthias
A combined method for stability analysis of linear time invariant and nonlinear continuous-time control systems based on the Hermite-Fujiwara matrix and Cholesky decomposition
2022

4948.

Kossaczká, Tatiana; Ehrhardt, Matthias; Günther, Michael
A deep smoothness WENO method with applications in option pricing
In Ehrhardt, Matthias and Günther, Michael, Editor, Progress in Industrial Mathematics at ECMI 2021, Seite 417–423
In Ehrhardt, Matthias and Günther, Michael, Editor
Herausgeber: Springer Cham
2022

4947.

Kossaczká, Tatiana; Ehrhardt, Matthias; Günther, Michael
A deep smoothness WENO method with applications in option pricing
In Ehrhardt, Matthias and Günther, Michael, Editor, Progress in Industrial Mathematics at ECMI 2021, Seite 417–423
In Ehrhardt, Matthias and Günther, Michael, Editor
Herausgeber: Springer Cham
2022

4946.

Kossaczká, Tatiana; Ehrhardt, Matthias; Günther, Michael
A deep smoothness WENO method with applications in option pricing
In Ehrhardt, Matthias and Günther, Michael, Editor, Progress in Industrial Mathematics at ECMI 2021, Seite 417–423
In Ehrhardt, Matthias and Günther, Michael, Editor
Herausgeber: Springer Cham
2022

4945.

Kossaczká, Tatiana; Ehrhardt, Matthias; Günther, Michael
A deep smoothness WENO method with applications in option pricing
Progress in Industrial Mathematics at ECMI 2021
Seite 417--423
Herausgeber: Springer International Publishing Cham
2022
417--423

4944.

Edeko, Nikolai; Kreidler, Henrik; Nagel, Rainer
A dynamical proof of the van der Corput inequality
Dynamical Systems, 37 :648-665
2022