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
4641.
Clevenhaus, Anna; Totzeck, Claudia; Ehrhardt, Matthias
A Gradient Descent Algorithm for the Heston model
arXiv preprint arXiv:2110.14370
20214640.
Farkas, Bálint; Nagy, Béla; Révész, Szilárd Gy.
A homeomorphism theorem for sums of translates
20214639.
Kühn, Jan; Bartel, Andreas; Putek, Piotr
A hysteresis loss model for Tellinen’s scalar hysteresis model
In van Beurden, Martijn and Budko, Neil and Schilders, Wil, Editor, Scientific Computing in Electrical Engineering: SCEE 2020, Eindhoven, The Netherlands, February 2020ausMathematics in Industry, Seite 241–250
In van Beurden, Martijn and Budko, Neil and Schilders, Wil, Editor
Herausgeber: Springer Cham
20214638.
Kühn, Jan; Bartel, Andreas; Putek, Piotr
A Hysteresis Loss Model for Tellinen’s Scalar Hysteresis Model
Scientific Computing in Electrical Engineering: SCEE 2020, Eindhoven, The Netherlands, February 2020
Seite 241--250
Herausgeber: Springer International Publishing Cham
2021
241--2504637.
Schnepper, Teresa; Klamroth, Kathrin; Puerto, Justo; Stiglmayr, Michael
A Local Analysis to Determine All Optimal Solutions of p-k-max Location Problems on Networks
Discrete Applied Mathematics, 296 :217-234
20214636.
Kapllani, Lorenc; Teng, Long; Ehrhardt, Matthias
A multistep scheme to solve backward stochastic differential equations for option pricing on GPUs
In Dimov, Ivan and Fidanova, Stefka, Editor, Advances in High Performance Computing: Results of the International Conference on “High Performance Computing” Borovets, Bulgaria, 2019, Seite 196–208
In Dimov, Ivan and Fidanova, Stefka, Editor
Herausgeber: Springer Cham
20214635.
Kapllani, Lorenc; Teng, Long; Ehrhardt, Matthias
A multistep scheme to solve backward stochastic differential equations for option pricing on GPUs
In Dimov, Ivan and Fidanova, Stefka, Editor, Advances in High Performance Computing: Results of the International Conference on “High Performance Computing” Borovets, Bulgaria, 2019, Seite 196–208
In Dimov, Ivan and Fidanova, Stefka, Editor
Herausgeber: Springer Cham
20214634.
Kapllani, Lorenc; Teng, Long; Ehrhardt, Matthias
A multistep scheme to solve backward stochastic differential equations for option pricing on gpus
, Advances in High Performance Computing: Results of the International Conference on “High Performance Computing” Borovets, Bulgaria, 2019Band902, Seite 196--208
Springer International Publishing
20214633.
Klass, Friedemann; Gabbana, Alessandro; Bartel, Andreas
A non-equilibrium bounce-back boundary condition for thermal multispeed LBM
Journal of Computational Science, 53 :101364
2021
Herausgeber: Elsevier4632.
Klass, Friedemann; Gabbana, Alessandro; Bartel, Andreas
A non-equilibrium bounce-back boundary condition for thermal multispeed LBM
J. Comput. Sci., 53 :101364
2021
Herausgeber: Elsevier {BV}4631.
4630.
Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
A parallel sparse grid combination technique using the Parareal Algorithm
Preprint IMACM
2021
Herausgeber: Bergische Universität Wuppertal4629.
Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
A parallel sparse grid combination technique using the Parareal Algorithm
Preprint IMACM
2021
Herausgeber: Bergische Universität Wuppertal4628.
Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
A parallel sparse grid combination technique using the Parareal Algorithm
Preprint IMACM
2021
Herausgeber: Bergische Universität Wuppertal4627.
Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
A parallel Sparse Grid Combination Technique using the Parareal Algorithm
20214626.
Teng, Long
A review of tree-based approaches to solve forward-backward stochastic differential equations
Journal of Computational Finance, 25 (3) :125–159
2021
Herausgeber: Incisive Media4625.
Teng, Long
A review of tree-based approaches to solve forward-backward stochastic differential equations
JCF, 25 (3) :125--159
20214624.
Caracas, Ioana Alexandra; others
A tau scenario application to a search for upward-going showers with the Fluorescence Detector of the Pierre Auger Observatory
PoS, ICRC2021 :1145
20214623.
Kühn, Jan; Bartel, Andreas; Putek, Piotr
A thermal extension and loss model for Tellinen’s hysteresis model
COMPEL-The international journal for computation and mathematics in electrical and electronic engineering, 40 (2) :126–141
2021
Herausgeber: Emerald Group Publishing4622.
Kühn, Jan; Bartel, Andreas; Putek, Piotr
A thermal extension and loss model for Tellinen’s hysteresis model
COMPEL-The international journal for computation and mathematics in electrical and electronic engineering, 40 (2) :126--141
2021
Herausgeber: Emerald Publishing Limited4621.
Clemens, Markus; Kasolis, Fotios; Henkel, M-L; Kähne, B; Günther, Michael
A two-step Darwin model time-domain formulation for quasi-static electromagnetic field calculations
IEEE Transactions on Magnetics, 57 (6) :1--4
2021
Herausgeber: IEEE4620.
Clemens, Markus; Kasolis, Fotios; Henkel, M-L; Kähne, B; Günther, Michael
A two-step Darwin model time-domain formulation for quasi-static electromagnetic field calculations
IEEE Transactions on Magnetics, 57 (6) :1–4
2021
Herausgeber: IEEE4619.
Clemens, Markus; Kasolis, Fotios; Henkel, M-L; Kähne, B; Günther, Michael
A two-step Darwin model time-domain formulation for quasi-static electromagnetic field calculations
IEEE Transactions on Magnetics, 57 (6) :1–4
2021
Herausgeber: IEEE4618.
Janssen, N.; Gesell, H.; Gutt, R.; Janoske, U.
Adaption of the Aluminium Electrolysis to Volatile Power Supply: Development of a Predictive Model to Investigate the Thermal Behavior of a Cell
presented at NAFEMS World Congress 2022
Oktober 20214617.
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
2021
