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



2016

3442.

Hachtel, Christoph; Bartel, Andreas; Günther, Michael
Interface reduction for multirate ODE-Solver
In Bartel, Andreas and Clemens, Markus and Günther, Michael and ter Maten, E. Jan W., Editor, Scientific Computing in Electrical Engineering: SCEE 2014, Wuppertal, Germany, July 2014ausMathematics in Industry, Seite 185–193
In Bartel, Andreas and Clemens, Markus and Günther, Michael and ter Maten, E. Jan W., Editor
Herausgeber: Springer Cham
2016

3441.

Hachtel, C.; Günther, M.; Bartel, A.
Interface Reduction for Multirate ODE-Solvers
In A. Bartel and M. Clemens and M. Günther and J. ter Maten, Editor, Scientific Computing in Electrical EngineeringBand23ausMathematics in Industry, Seite 185--193
In A. Bartel and M. Clemens and M. Günther and J. ter Maten, Editor
Herausgeber: Springer
2016

3440.

Laufs, Sebastian; Kleffmann, Jörg
Investigations on HONO formation from photolysis of adsorbed HNO\(_{3}\) on quartz glass surfaces
Physical Chemistry Chemical Physics, 18 (14) :9616-9625
2016
Herausgeber: The Royal Society of Chemistry

3439.

Laufs, Sebastian; Kleffmann, Jörg
Investigations on HONO formation from photolysis of adsorbed HNO\(_{3}\) on quartz glass surfaces
Physical Chemistry Chemical Physics, 18 (14) :9616-9625
2016
Herausgeber: The Royal Society of Chemistry

3438.

Laufs, Sebastian; Kleffmann, Jörg
Investigations on HONO formation from photolysis of adsorbed HNO3 on quartz glass surfaces
Physical Chemistry Chemical Physics, 18 (14) :9616-9625
2016
Herausgeber: The Royal Society of Chemistry

3437.

Barnes, Ian; Wiesen, Peter; Gallus, Michael
Kinetics and mechanism of the OH-radical and Cl-atom oxidation of propylene carbonate
RSC Advances, 6 (100) :98234-98242
2016
Herausgeber: Royal Society of Chemistry

3436.

Barnes, Ian; Wiesen, Peter; Gallus, Michael
Kinetics and mechanism of the OH-radical and Cl-atom oxidation of propylene carbonate
RSC Advances, 6 (100) :98234-98242
2016
Herausgeber: Royal Society of Chemistry

3435.

Barnes, Ian; Wiesen, Peter; Gallus, Michael
Kinetics and mechanism of the OH-radical and Cl-atom oxidation of propylene carbonate
RSC Advances, 6 (100) :98234-98242
2016
Herausgeber: Royal Society of Chemistry

3434.

[german] Tausch, Michael W.; Krämer, René
Kleiner Dreh mit großen Folgen - Die Azo-Gruppe als molekulares Schaltelement in funktionellen Farbstoffen
Praxis der Naturwissenschaften - Chemie in der Schule, 65 (1) :18
2016

3433.

Bohrmann-Linde, Claudia; Wachtendonk, M.
Kunststoffe und Farbstoffe - Unterrichtseinheit für ein Inhaltsfeld der Qualifikationsphase
Praxis der Naturwissenschaften - Chemie in der Schule, 65 (1)
2016

3432.

Kruse, Thomas; Popier, Alexandre
Minimal supersolutions for BSDEs with singular terminal condition and application to optimal position targeting
Stochastic Processes and their Applications, 126 (9) :2554--2592
2016
Herausgeber: Elsevier

3431.

Kruse, Thomas; Popier, Alexandre
Minimal supersolutions for BSDEs with singular terminal condition and application to optimal position targeting
Stochastic Processes and their Applications, 126 (9) :2554–2592
2016
Herausgeber: Elsevier

3430.

Putek, Piotr Adam
Mitigation of the cogging torque and loss minimization in a permanent magnet machine using shape and topology optimization
Engineering Computations, 33 (3) :1–23
2016
Herausgeber: Emerald Group Publishing Limited

3429.

Hachtel, Christoph; Günther, Michael; Bartel, Andreas
Model Order Reduction for Multirate {ODE}-Solvers in a Multiphysics Application
In Russo, G. and Capasso, V. and Nicosia, G. and Romano, V., Editor, Progress in Industrial Mathematics at ECMI 2014Band22ausMathematics in Industry, Seite 473--480
Springer International Publishing
In Russo, G. and Capasso, V. and Nicosia, G. and Romano, V., Editor
2016

3428.

Hachtel, Christoph; Günther, Michael; Bartel, Andreas
Model order reduction for multirate ODE-Solvers in a multiphysics application
In Russo, Giovanni and Capasso, Vincenzo and Nicosia, Giuseppe and Romano, Vittorio, Editor, Progress in Industrial Mathematics at ECMI 2014ausMathematics in Industry, Seite 473–480
In Russo, Giovanni and Capasso, Vincenzo and Nicosia, Giuseppe and Romano, Vittorio, Editor
Herausgeber: Springer Cham
2016

3427.

Hachtel, Christoph; Günther, Michael; Bartel, Andreas
Model order reduction for multirate ODE-Solvers in a multiphysics application
In Russo, Giovanni and Capasso, Vincenzo and Nicosia, Giuseppe and Romano, Vittorio, Editor, Progress in Industrial Mathematics at ECMI 2014ausMathematics in Industry, Seite 473–480
In Russo, Giovanni and Capasso, Vincenzo and Nicosia, Giuseppe and Romano, Vittorio, Editor
Herausgeber: Springer Cham
2016

3426.

Hachtel, Christoph; Günther, Michael; Bartel, Andreas
Model Order Reduction for Multirate ODE-Solvers in a Multiphysics Application
Progress in Industrial Mathematics at ECMI 2014 18, Seite 473--480
Springer International Publishing
2016

3425.

Mohaghegh, Kasra; Pulch, Roland; Maten, Jan
Model order reduction using singularly perturbed systems
Applied Numerical Mathematics, 103 :72–87
2016
Herausgeber: Elsevier
ISSN: 0168-9274

3424.

Mohaghegh, Kasra; Pulch, Roland; Maten, Jan
Model order reduction using singularly perturbed systems
APNUM, 103 :72--87
Mai 2016
Herausgeber: Elsevier {BV}

3423.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Modelling stochastic correlation
Journal of Mathematics in Industry, 6 (1) :1–18
2016
Herausgeber: Springer Verlag

3422.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Modelling stochastic correlation
Journal of Mathematics in Industry, 6 (1) :1–18
2016
Herausgeber: Springer Verlag

3421.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Modelling stochastic correlation
Journal of Mathematics in Industry, 6 (1) :1--18
März 2016
Herausgeber: Springer Berlin Heidelberg

3420.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Modelling stochastic correlation
Journal of Mathematics in Industry, 6 (1) :1–18
2016
Herausgeber: Springer Verlag

3419.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Modelling stochastic correlation with modified Ornstein-Uhlenbeck process
Progress in Industrial Mathematics at ECMI 2014, Seite 113–120
Springer Heidelberg
Herausgeber: Springer Cham
2016

3418.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Modelling stochastic correlation with modified Ornstein-Uhlenbeck process
Progress in Industrial Mathematics at ECMI 2014, Seite 113–120
Springer Heidelberg
Herausgeber: Springer Cham
2016