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
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
- Efficiency of the time-integration for field devices in pulsed circuits (multirate, dynamic iteration)
- DAE-index of the coupled system
- Existence and Uniqueness of the solution
Cooperation
- Herbert De Gersem, Katholieke Universiteit Leuven
- Markus Clemens, Bergische Universität Wuppertal
- Sascha Baumanns, Universität zu Köln
Former and ongoing projects
Publications
- 2021
4643.
Hahne, J.; Friedhoff, S.; Bolten, M.
Algorithm 1016: PyMGRIT: a Python package for the parallel-in-time method MGRIT
ACM Trans. Math. Software, 47 (2) :Art. 19, 22
20214642.
Hahne, J.; Friedhoff, S.; Bolten, Matthias
Algorithm 1016: PyMGRIT: a Python package for the parallel-in-time method MGRIT
ACM Trans. Math. Software, 47 (2) :Art. 19, 22
20214641.
Hahne, J.; Friedhoff, S.; Bolten, M.
Algorithm 1016: PyMGRIT: a Python package for the parallel-in-time method MGRIT
ACM Trans. Math. Software, 47 (2) :Art. 19, 22
20214640.
Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
An ADI Sparse Grid method for pricing efficiently American options under the Heston model
Advances in Applied Mathematics and Mechanics, 13 (6) :1384–1397
2021
Herausgeber: Global Science Press4639.
Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
An ADI Sparse Grid method for pricing efficiently American options under the Heston model
Advances in Applied Mathematics and Mechanics, 13 (6) :1384–1397
2021
Herausgeber: Global Science Press4638.
Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
An ADI Sparse Grid method for pricing efficiently American options under the Heston model
Advances in Applied Mathematics and Mechanics, 13 (6) :1384–1397
2021
Herausgeber: Global Science Press4637.
An ADI Sparse Grid method for Pricing Efficiently American Options under the Heston Model
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 13 (6) :1384--1397
2021
Herausgeber: GLOBAL SCIENCE PRESS Office B, 9/F, Kings Wing Plaza2, No. 1 On Kwan St~…
ISSN: 2075-13544636.
Treibert, Sarah; Ehrhardt, Matthias
An Unsupervised Physics-Informed Neural Network to Model COVID-19 Infection and Hospitalization Scenarios
20214635.
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel
Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions
SIAM J. Matrix Anal. Appl., 42 (3) :1290-1318
20214634.
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel
Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions
SIAM J. Matrix Anal. Appl., 42 (3) :1290-1318
20214633.
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel
Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions
SIAM J. Matrix Anal. Appl., 42 (3) :1290-1318
20214632.
Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael
Approximating correlation matrices using stochastic Lie group methods
Mathematics, 9 (1) :94
2021
Herausgeber: MDPI4631.
Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael
Approximating correlation matrices using stochastic Lie group methods
Mathematics, 9 (1) :94
2021
Herausgeber: MDPI4630.
Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael
Approximating correlation matrices using stochastic Lie group methods
Mathematics, 9 (1) :94
2021
Herausgeber: MDPI4629.
Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael
Approximating Correlation Matrices Using Stochastic Lie Group Methods
Mathematics, 9 (1) :94
Januar 2021
Herausgeber: MDPI AG
ISSN: 2227-73904628.
[english] Kremer, Richard; Bohrmann-Linde, Claudia; Tausch, Michael W.
Artificial Photosynthesis in Chemical Education - Photocatalytic Generation of Hydrogen in Classroom Experiments
Education Quimica, 32 (3)
20214627.
Ferrari, Paola; Serra-Capizzano, Stefano
Asymptotic spectra of large matrices coming from the symmetrization of Toeplitz structure functions and applications to preconditioning
Numer. Linear Algebra Appl., 28 (1) :Paper No. e2332, 16
20214626.
Ferrari, Paola; Serra-Capizzano, Stefano
Asymptotic spectra of large matrices coming from the symmetrization of Toeplitz structure functions and applications to preconditioning
Numer. Linear Algebra Appl., 28 (1) :Paper No. e2332, 16
20214625.
Hahne, J.; Southworth, B. S.; Friedhoff, S.
Asynchronous Truncated Multigrid-reduction-in-time (AT-MGRIT)
20214624.
Hahne, J.; Southworth, B. S.; Friedhoff, S.
Asynchronous Truncated Multigrid-reduction-in-time (AT-MGRIT)
20214623.
Hahne, J.; Southworth, B. S.; Friedhoff, S.
Asynchronous Truncated Multigrid-reduction-in-time (AT-MGRIT)
20214622.
Doganay, Onur Tanil
Biobjective shape optimization algorithms enhanced by derivative information
Dissertation
Dissertation
Bergische Universität Wuppertal
20214621.
Venzlaff, Julian; Kiesling, Elisabeth; Bohrmann-Linde, Claudia
BNE und Chemieunterricht - BNE als roter Faden durch die Schulchemie und Beispiel einer Lerneinheit zur Klimawirksamkeit von Kohlenstoffdioxid
CHEMKON
20214620.
Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Càdlàg semimartingale strategies for optimal trade execution in stochastic order book models
Finance and Stochastics, 25 (4) :757--810
2021
Herausgeber: Springer Berlin Heidelberg4619.
Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Càdlàg semimartingale strategies for optimal trade execution in stochastic order book models
Finance and Stochastics, 25 (4) :757–810
2021
Herausgeber: Springer Verlag