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



2017

3742.

Synylo, Kateryna; Kurtenbach, Ralf; Wiesen, Peter; Zaporozhets, Oleksandr
Comparison between modelled and measured NO\(_{x}\) concentrations in aircraft plumes at Athens International Airport
International Journal of Sustainable Aviation, 3 (4) :279-296
2017

3741.

Synylo, Kateryna; Kurtenbach, Ralf; Wiesen, Peter; Zaporozhets, Oleksandr
Comparison between modelled and measured NOx concentrations in aircraft plumes at Athens International Airport
International Journal of Sustainable Aviation, 3 (4) :279-296
2017

3740.

Ehrhardt, M.
Die Formel des Glücks (The Formula of Happiness)
Westdeutsche Zeitung, Wuppertal 21. Dezember 2017, Seite 17
2017

3739.

Laufs, Sebastian; Cazaunau, Mathieu; Stella, Patrick; Kurtenbach, Ralf; Cellier, Pierre; Mellouki, Abdelwahid; Loubet, Benjamin; Kleffmann, Jörg
Diurnal fluxes of HONO above a crop rotation
Atmospheric Chemistry and Physics, 17 (11) :6907-6923
2017

3738.

Laufs, Sebastian; Cazaunau, Mathieu; Stella, Patrick; Kurtenbach, Ralf; Cellier, Pierre; Mellouki, Abdelwahid; Loubet, Benjamin; Kleffmann, Jörg
Diurnal fluxes of HONO above a crop rotation
Atmospheric Chemistry and Physics, 17 (11) :6907-6923
2017

3737.

Laufs, Sebastian; Cazaunau, Mathieu; Stella, Patrick; Kurtenbach, Ralf; Cellier, Pierre; Mellouki, Abdelwahid; Loubet, Benjamin; Kleffmann, Jörg
Diurnal fluxes of HONO above a crop rotation
Atmospheric Chemistry and Physics, 17 (11) :6907-6923
2017

3736.

[english] Krämer, Ren{é}; Nöthling, Nils; W. Lehmann, Christian; Mohr, Fabian; Tausch, Michael W.
E -Diazocine in Chemical Education: Synthesis, Structure, Photochromism and Thermal Stability
{ChemPhotoChem}, 2 (1) :6--11
2017
Herausgeber: Wiley

3735.

Dächert, Kerstin; Klamroth, Kathrin; Lacour, Renaud; Vanderpooten, Daniel
Efficient computation of the search region in multi-objective optimization
European Journal of Operational Research, 260 (3) :841–855
2017

3734.

Heilmann, Margareta; Raşa, Ioan
Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators
Positivity, 21 (3) :897-910
2017

3733.

Hattwig, Felix
Einfluss von fremdländischen und einheimischen Baumarten auf die Enzymaktivität von Protease, Urease, Xylanase, saure Phosphatase im Oberboden am Beispiel von Douglasie (Pseudotsuga menziesii), Lebensbaum (Thuja occidentalis) sowie Buche (Fagus sylvatica) im Forstbetrieb Staatswald Arnsberg und im Arboretum Burgholz, Wuppertal
2017

3732.

Tong, My Linh; Huber, Florian; Kaptouom, Estelle S. Taghuo; Cellnik, Torsten
Enhanced site-selectivity in acylation reactions with substrate-optimized catalysts on solid supports
Chemical Communications, 53 (21) :3086–3089
2017
ISSN: 1364-548X

3731.

Ehrhardt, Matthias; Bartel, Andreas
Entropic Lattice Boltzmann: an implicit Large-Eddy Simulation?
APS Division of Fluid Dynamics Meeting Abstracts, Seite L28--007
2017

3730.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Error splitting preservation for high order finite difference schemes in the combination technique
Numerical Mathematics: Theory, Methods and Applications, 10 (3) :689–710
2017
Herausgeber: Cambridge University Press

3729.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Error splitting preservation for high order finite difference schemes in the combination technique
Numerical Mathematics: Theory, Methods and Applications, 10 (3) :689–710
2017
Herausgeber: Cambridge University Press

3728.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Error splitting preservation for high order finite difference schemes in the combination technique
Numerical Mathematics: Theory, Methods and Applications, 10 (3) :689–710
2017
Herausgeber: Cambridge University Press

3727.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Error splitting preservation for high order finite difference schemes in the combination technique
Numerical Mathematics: Theory, Methods and Applications, 10 (3) :689--710
Juni 2017
Herausgeber: Cambridge University Press

3726.

Calore, Enrico; Gabbana, Alessandro
Evaluation of DVFS techniques on modern HPC processors and accelerators for energy-aware applications
Concurrency and Computation: Practice and Experience, 29 (12) :e4143
2017

3725.

Trautmann, Heike; Rudolph, Günter; Klamroth, Kathrin; Schütze, Oliver; Wiecek, Margaret M.; Jin, Yaochu; Grimme, Christian
Evolutionary Multi-Criterion Optimization
Band 10173aus Lecture Notes in Computer Science,
EMO 2017
Münster, Germany
March 19-22, 2017
Herausgeber: Springer
2017

3724.

Knechtli, Francesco; Günther, Michael; Peardon, Michael
Handling fermions on the lattice
aus SpringerBriefs in Physics
Seite 55–96
Herausgeber: Springer Netherlands
2017
55–96

3723.

Knechtli, Francesco; Günther, Michael; Peardon, Michael
Handling fermions on the lattice
aus SpringerBriefs in Physics
Seite 55–96
Herausgeber: Springer Netherlands
2017
55–96

3722.

Knechtli, Francesco; Günther, Michael; Peardon, Michael
Handling Fermions on the Lattice
Lattice Quantum Chromodynamics: Practical Essentials :55--96
Oktober 2017
Herausgeber: Springer Netherlands

3721.

Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-order {ADI} finite difference schemes for parabolic equations in the combination technique with application in finance
Journal of Computational and Applied Mathematics, 316 :175--194
Mai 2017
Herausgeber: Elsevier {BV}

3720.

Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-order ADI finite difference schemes for parabolic equations in the combination technique with application in finance
Journal of Computational and Applied Mathematics, 316 :175--194
2017
Herausgeber: North-Holland

3719.

Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-order ADI finite difference schemes for parabolic equations in the combination technique with application in finance
Journal of Computational and Applied Mathematics, 316 :175–194
2017
Herausgeber: North-Holland

3718.

Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-order ADI finite difference schemes for parabolic equations in the combination technique with application in finance
Journal of Computational and Applied Mathematics, 316 :175–194
2017
Herausgeber: North-Holland