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



2021

4668.

Clevenhaus, Anna; Totzeck, Claudia; Ehrhardt, Matthias
A gradient descent algorithm for the Heston model
Preprint IMACM
2021
Herausgeber: Bergische Universität Wuppertal

4667.

Clevenhaus, Anna; Totzeck, Claudia; Ehrhardt, Matthias
A Gradient Descent Algorithm for the Heston model
arXiv preprint arXiv:2110.14370
2021

4666.

Farkas, Bálint; Nagy, Béla; Révész, Szilárd Gy.
A homeomorphism theorem for sums of translates
2021

4665.

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
2021

4664.

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--250

4663.

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
2021

4662.

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
2021

4661.

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
2021

4660.

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
2021

4659.

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: Elsevier

4658.

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}

4657.

Glück, Jochen
A note on the fixed space of positive contractions
2021

4656.

Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
A parallel sparse grid combination technique using the Parareal Algorithm
Preprint IMACM
2021
Herausgeber: Bergische Universität Wuppertal

4655.

Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
A parallel sparse grid combination technique using the Parareal Algorithm
Preprint IMACM
2021
Herausgeber: Bergische Universität Wuppertal

4654.

Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
A parallel sparse grid combination technique using the Parareal Algorithm
Preprint IMACM
2021
Herausgeber: Bergische Universität Wuppertal

4653.

Clevenhaus, Anna; Ehrhardt, Matthias; Günther, Michael
A parallel Sparse Grid Combination Technique using the Parareal Algorithm
2021

4652.

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 Media

4651.

Teng, Long
A review of tree-based approaches to solve forward-backward stochastic differential equations
JCF, 25 (3) :125--159
2021

4650.

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
2021

4649.

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 Publishing

4648.

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 Limited

4647.

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: IEEE

4646.

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: IEEE

4645.

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: IEEE

4644.

Grogorick, Linda; Lamprecht, Jens
AC:DC – Agile and Collaborative Digital Classroom
HMD - Praxis der Wirtschaftsinformatik, 58 :858–869
2021