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

3367.

Wu, Xueran; Jacob, Birgit; Elbern, Hendrik
Optimal control and observation locations for time-varying systems on a finite-time horizon
SIAM J. Control Optim., 54 (1) :291--316
2016

3366.

[german] Tausch, Michael W.; Dörschelln, Jennifer; Banerji, Amitabh; Zepp, Melanie
organic photo electronics - Didaktisches Kofferset zu organischen LEDs und Solarzellen
Praxis der Naturwissenschaften - Chemie in der Schule, 65 (1) :28--31
2016

3365.

Sayed, S. El; Bolten, M.; Pleiter, D.; Frings, W.
Parallel I/O characterisation based on server- side performance counters
2016 1st Joint International Workshop on Parallel Data Storage and data Intensive Scalable Computing Systems (PDSW-DISCS), Seite 7--12
2016

3364.

Sayed, S. El; Bolten, Matthias; Pleiter, D.; Frings, W.
Parallel I/O characterisation based on server- side performance counters
2016 1st Joint International Workshop on Parallel Data Storage and data Intensive Scalable Computing Systems (PDSW-DISCS), Seite 7-12
2016

3363.

Sayed, S. El; Bolten, M.; Pleiter, D.; Frings, W.
Parallel I/O characterisation based on server- side performance counters
2016 1st Joint International Workshop on Parallel Data Storage and data Intensive Scalable Computing Systems (PDSW-DISCS), Seite 7-12
2016

3362.

Maten, E. J. W
Part V: Uncertainty Quantification
In A. Bartel and M. Clemens and M. Günther and E. J. W. ter Maten, Editor, Scientific Computing in Electrical Engineering at SCEE 2014, Wuppertal Band 23 aus Mathematics in Industry
Seite 153-154
Herausgeber: Springer International Publishing
2016
153-154

3361.

[german] Tausch, Michael W.; Heffen, Maria
Photosynthese und Atmung en miniature - Teil 1
Chemie \& Schule, 31 (3) :5
2016

3360.

Ehrhardt, Matthias; Günther, Michael
Piecewise fixed policy timestepping schemes for Hamilton-Jacobi-Bellman equations
2016

3359.

Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
Piecewise fixed policy timestepping schemes for Hamilton-Jacobi-Bellman equations
Preprint IMACM
2016
Herausgeber: Bergische Universität Wuppertal

3358.

Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
Piecewise fixed policy timestepping schemes for Hamilton-Jacobi-Bellman equations
Preprint IMACM
2016
Herausgeber: Bergische Universität Wuppertal

3357.

Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
Piecewise fixed policy timestepping schemes for Hamilton-Jacobi-Bellman equations
Preprint IMACM
2016
Herausgeber: Bergische Universität Wuppertal

3356.

Ehrhardt, Matthias; Vázquez Cendón, Carlos
Pricing swing options in electricity markets with two stochastic factors using a partial differential equation approach
Journal of Computational Finance, Forthcoming, 20 (3) :81--107
2016

3355.

Silva, J. P.; Maten, E. J. W.; Günther, M.; Ehrhardt, M.
Proper Orthogonal Decomposition in Option Pricing: Basket Options and {Heston} Model
In G. Russo and V. Capasso and G. Nicosia and V. Romano, Editor, {Progress in Industrial Mathematics at ECMI 2014} Band 22 aus Mathematics in Industry
Seite 217--227
Herausgeber: Springer International Publishing
2016
217--227

3354.


Proper orthogonal decomposition in option pricing: basket options and Heston model
Progress in Industrial Mathematics at ECMI 2014 18, Seite 217--227
Springer International Publishing
2016

3353.

Maten, E. Jan W.; Günther, Michael; Ehrhardt, Matthias
Proper orthogonal decomposition in option pricing: Basket options and Heston model
Progress in Industrial Mathematics at ECMI 2014, Seite 217–227
Springer International Publishing
Herausgeber: Springer Cham
2016

3352.

Maten, E. Jan W.; Günther, Michael; Ehrhardt, Matthias
Proper orthogonal decomposition in option pricing: Basket options and Heston model
Progress in Industrial Mathematics at ECMI 2014, Seite 217–227
Springer International Publishing
Herausgeber: Springer Cham
2016

3351.

Maten, E. Jan W.; Günther, Michael; Ehrhardt, Matthias
Proper orthogonal decomposition in option pricing: Basket options and Heston model
Progress in Industrial Mathematics at ECMI 2014, Seite 217–227
Springer International Publishing
Herausgeber: Springer Cham
2016

3350.

Pulch, Roland; Bartel, Andreas; Schöps, Sebastian
Quadrature methods with adjusted grids for stochastic models of coupled problems
In Russo, Giovanni and Capasso, Vincenzo and Nicosia, Giuseppe and Romano, Vittorio, Editor, Progress in Industrial Mathematics at ECMI 2014, Seite 377–384
In Russo, Giovanni and Capasso, Vincenzo and Nicosia, Giuseppe and Romano, Vittorio, Editor
Herausgeber: Springer Cham
2016

3349.

Pulch, Roland; Bartel, Andreas; Schöps, Sebastian
Quadrature methods with adjusted grids for stochastic models of coupled problems
In Russo, G. and Capasso, V. and Nicosia, G. and Romano, V., Editor, Progress in Industrial Mathematics at ECMI 2014 18Band22ausMathematics in Industry, Seite 377--384
Springer International Publishing
In Russo, G. and Capasso, V. and Nicosia, G. and Romano, V., Editor
Herausgeber: Springer
2016

3348.

König, Ilka
Qualifizierung von Abbauprodukten in den Ablaugen der Zellstoffindustrie
2016

3347.

Aral, Ali; Gonska, Heiner; Heilmann, Margareta; Tachev, G.
Quantitative Voronovskaya-type Results for Polynomially Bounded Functions
Results in Mathematics, 70 :313-324
2016

3346.

Knechtli, Francesco; Günther, Michael; Peardon, Michael
Quantum Field Theory ({QFT}) on the Lattice
{SpringerBriefs} in Physics
Seite 1--34
Herausgeber: Springer Netherlands
Oktober 2016
1--34

3345.

Knechtli, Francesco; Günther, Michael; Peardon, Michael
Quantum Field Theory (QFT) on the Lattice
aus SpringerBriefs in Physics
Seite 1–34
Herausgeber: Springer Netherlands
2016
1–34

3344.

Knechtli, Francesco; Günther, Michael; Peardon, Michael
Quantum Field Theory (QFT) on the Lattice
aus SpringerBriefs in Physics
Seite 1–34
Herausgeber: Springer Netherlands
2016
1–34

3343.

Melnikov, Vladlen V.; Yurchenko, Sergey N.; Tennyson, Jonathan; Jensen, Per
Radiative cooling of H\(_{3}\)O\(^{+}\) and its deuterated isotopologues
Physical Chemistry Chemical Physics, 18 (37) :26268-26274
2016
Herausgeber: Royal Society of Chemistry