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

4414.

Pill, Daniela; Wiesen, Peter; Kleffmann, Jörg
Temperature dependencies of the degradation of NO, NO\(_{2}\) and HONO on a photocatalytic dispersion paint
Physical Chemistry Chemical Physics, 23 (15) :9418--9427
2021
ISSN: 1463-9076, 1463-9084

4413.

Teng, Long
The Heston model with time-dependent correlation driven by isospectral flows
Mathematics, 9 (9)
2021
Herausgeber: MDPI

4412.

Teng, Long
The Heston model with time-dependent correlation driven by isospectral flows
Mathematics, 9 (9) :934
2021

4411.

Dembinski, Hans; others
The Muon Puzzle in air showers and its connection to the LHC
PoS, ICRC2021 :037
2021

4410.


Towards a Common $t\bar{t}$ Monte-Carlo Sample for ATLAS and CMS
CERN, Geneva
Juni 2021

4409.

Haussmann, N.; Zang, M.; Mease, R.; Clemens, M.; Schmuelling, B.; Bolten, Matthias
Towards real-time magnetic dosimetry simulations for inductive charging systems
COMPEL
2021

4408.

Haussmann, N.; Zang, M.; Mease, R.; Clemens, M.; Schmuelling, B.; Bolten, M.
Towards real-time magnetic dosimetry simulations for inductive charging systems
COMPEL
2021

4407.

Haussmann, N.; Zang, M.; Mease, R.; Clemens, M.; Schmuelling, B.; Bolten, M.
Towards real-time magnetic dosimetry simulations for inductive charging systems
COMPEL
2021

4406.

Bolten, Matthias; Doganay, O. T.; Gottschalk, H.; Klamroth, K.
Tracing locally Pareto optimal points by numerical integration
SIAM J. Control Optim., 59 (5) :3302-3328
2021

4405.

Bolten, M.; Doganay, O. T.; Gottschalk, H.; Klamroth, K.
Tracing locally Pareto optimal points by numerical integration
SIAM J. Control Optim., 59 (5) :3302-3328
2021

4404.

Bolten, M.; Doganay, O. T.; Gottschalk, H.; Klamroth, K.
Tracing locally Pareto optimal points by numerical integration
SIAM J. Control Optim., 59 (5) :3302---3328
2021

4403.

Dobrick, Alexander; Glück, Jochen
Uniform convergence of operator semigroups without time regularity
J. Evol. Equ., 21 (4) :5101--5134
2021

4402.

Edeko, Nikolai; Kreidler, Henrik
Uniform enveloping semigroupoids for groupoid actions
J. Anal. Math.
2021

4401.

[german] Bohrmann-Linde, Claudia; Zeller, Diana
Videos in der chemiedidaktischen Lehre - von der Rezeption zur Produktion
Band Digitalisation in Chemistry Education. Digitales Lehren und Lernen an Hochschule und Schule im Fach Chemie
Seite 59–69
Herausgeber: Amitabh Banerji, Nicole Graulich, Johannes Huwer, Waxmann. Münster
2021
59–69

ISBN: 978-3-8309-4418-8

4400.

Sugiyama, M.; Schroder, J. B.; Southworth, B. S.; Friedhoff, S.
Weighted Relaxation for Multigrid Reduction in Time
2021

4399.

Sugiyama, M.; Schroder, J. B.; Southworth, B. S.; Friedhoff, S.
Weighted Relaxation for Multigrid Reduction in Time
2021

4398.

Sugiyama, M.; Schroder, J. B.; Southworth, B. S.; Friedhoff, S.
Weighted Relaxation for Multigrid Reduction in Time
2021

4397.

Jacob, Birgit; Laasri, Hafida
Well-posedness of infinite-dimensional non-autonomous passive boundary control systems
Evolution Equations and Control Theory, 10 (2) :385-409
2021
2020

4396.

Slootman, Juliette; Waltz, Victoria; Yeh, C. Joshua; Baumann, Christoph; Göstl, Robert; Comtet, Jean; Creton, Costantino
Quantifying Rate- and Temperature-Dependent Molecular Damage in Elastomer Fracture
Physical Review X, 10 (4) :041045
Dezember 2020

4395.

[german] Zeller, Diana; Grandrath, Rebecca; Bohrmann-Linde, Claudia
Erstellung eigener digitaler Lehr- und Lerntools - Stärkung der Medienkompetenz bei Lehramtsstudierenden im Fach Chemie
Chemie & Schule, 35 (4) :17-21
Dezember 2020

4394.

Li, Hongyan; Fan, Jilin; Buhl, Eva Miriam; Huo, Shuaidong; Loznik, Mark; Göstl, Robert; Herrmann, Andreas
DNA hybridization as a general method to enhance the cellular uptake of nanostructures
Nanoscale, 12 (41) :21299--21305
Oktober 2020
ISSN: 2040-3372

4393.

Allers, Maria; Kirk, Ansgar T.; Timke, Bennet; Erdogdu, Duygu; Wissdorf, Walter; Benter, Thorsten; Zimmermann, Stefan
Negative Reactant Ion Formation in High Kinetic Energy Ion Mobility Spectrometry (HiKE-IMS)
Journal of the American Society for Mass Spectrometry, 31 (9) :1861-1874
September 2020

4392.

Allers, Maria; Kirk, Ansgar T.; Timke, Bennet; Erdogdu, Duygu; Wissdorf, Walter; Benter, Thorsten; Zimmermann, Stefan
Negative Reactant Ion Formation in High Kinetic Energy Ion Mobility Spectrometry (HiKE-IMS)
Journal of the American Society for Mass Spectrometry, 31 (9) :1861-1874
September 2020

4391.

Allers, Maria; Kirk, Ansgar T.; Timke, Bennet; Erdogdu, Duygu; Wissdorf, Walter; Benter, Thorsten; Zimmermann, Stefan
Negative Reactant Ion Formation in High Kinetic Energy Ion Mobility Spectrometry (HiKE-IMS)
Journal of the American Society for Mass Spectrometry, 31 (9) :1861-1874
September 2020

4390.

Haussmann, N.; Zang, M.; Clemens, M.; Schmuelling, B.
Echtzeitnahe numerische Simulation der menschlichen Exposition durch magneto-quasistatische Felder beim induktiven Laden von Fahrzeugen
URSI e.V. Deutschland 2020 Kleinheubacher Tagung (KHB 2020), Miltenberg, Germany, 28.-30.09.2020. One page digest, accepted
September 2020