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



2022

4940.

Ehrhardt, Matthias
A physics-informed neural network to model COVID-19 infection and hospitalization scenarios
Advances in continuous and discrete models, 2022 (1) :1–27
2022
Herausgeber: Springer Science and Business Media Deutschland GmbH

4939.

Ehrhardt, Matthias
A physics-informed neural network to model COVID-19 infection and hospitalization scenarios
Advances in continuous and discrete models, 2022 (1) :1–27
2022
Herausgeber: Springer Science and Business Media Deutschland GmbH

4938.

Ehrhardt, Matthias
A physics-informed neural network to model COVID-19 infection and hospitalization scenarios
Advances in Continuous and Discrete Models, 2022 (1) :61
2022
Herausgeber: Springer International Publishing Cham

4937.

Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A port-Hamiltonian formulation of coupled heat transfer
Mathematical and Computer Modelling of Dynamical Systems, 28 (1) :78–94
2022
Herausgeber: Taylor & Francis

4936.

Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A port-Hamiltonian formulation of coupled heat transfer
Mathematical and Computer Modelling of Dynamical Systems, 28 (1) :78–94
2022
Herausgeber: Taylor & Francis

4935.

Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A port-Hamiltonian formulation of coupled heat transfer
Mathematical and Computer Modelling of Dynamical Systems, 28 (1) :78–94
2022
Herausgeber: Taylor & Francis

4934.

Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A port-Hamiltonian formulation of coupled heat transfer
Mathematical and Computer Modelling of Dynamical Systems, 28 (1) :78--94
2022
Herausgeber: Taylor & Francis

4933.

Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A Port-Hamiltonian Formulation of Coupled Heat Transfer
Math. Comput. Model. Dyn. Syst., 28 (1) :78-94
2022

4932.

Jacob, Birgit; Schwenninger, Felix; Wintermayr, Jens
A refinement of Boillon's theorem on maximal regularity
Studia Math., 263 (2) :141-158
2022

4931.

Heyden, von der, Lisa; Wissdorf, Walter; Kurtenbach, Ralf; Kleffmann, Jörg
A relaxed eddy accumulation (REA) LOPAP system for flux measurements of nitrous acid (HONO)
Atmospheric Measurement Techniques, 15 (6) :1983--2000
März 2022
ISSN: 1867-8548

4930.

Abreu, Pedro; others
A Search for Photons with Energies Above 2 x 10^{17} eV Using Hybrid Data from the Low-Energy Extensions of the Pierre Auger Observatory
Astrophys. J., 933 (2) :125
2022

4929.

Glück, Jochen; Roth, Stefan; Spodarev, Evgeny
A solution to a linear integral equation with an application to statistics of infinitely divisible moving averages
Scand. J. Stat. :30 pages
2022

4928.

Villena, Guillermo; Kleffmann, Jörg
A source for the continuous generation of pure and quantifiable HONO mixtures
Atmospheric Measurement Techniques, 15 (3) :627--637
Februar 2022
ISSN: 1867-8548

4927.

Voss C., Janoske U.
A surrogate approach to rapidly predict particle collection on single fiber using computational fluid dynamics and machine learning
Machine Learning und Artificial Intelligence in Strömungsmechanik und Strukturanalyse
Herausgeber: NAFEMS
Mai 2022

4926.

Bolten, M.; Donatelli, M.; Ferrari, P.; Furci, I.
A symbol based analysis for multigrid methods for block-circulant and block-Toeplitz Systems
SIAM J. Matrix Anal. Appl., 43 (1) :405-438
2022

4925.

Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella
A symbol-based analysis for multigrid methods for block-circulant and block-Toeplitz systems
SIAM J. Matrix Anal. Appl., 43 (1) :405-438
2022
ISSN: 0895-4798

4924.

Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella
A symbol-based analysis for multigrid methods for block-circulant and block-Toeplitz systems
SIAM J. Matrix Anal. Appl., 43 (1) :405-438
2022
ISSN: 0895-4798

4923.

Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A two-dimensional port-Hamiltonian model for coupled heat transfer
Mathematics, 10 (24) :4635
2022
Herausgeber: MDPI

4922.

Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A two-dimensional port-Hamiltonian model for coupled heat transfer
Mathematics, 10 (24) :4635
2022
Herausgeber: MDPI

4921.

Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A two-dimensional port-Hamiltonian model for coupled heat transfer
Mathematics, 10 (24) :4635
2022
Herausgeber: MDPI

4920.

Jäschke, Jens; Ehrhardt, M.; Günther, M.; Jacob, Birgit
A Two-Dimensional Port-Hamiltonian Model for Coupled Heat Transfer
Mathematics, 10(24) :4635
2022

4919.

Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
A Two-Dimensional Port-Hamiltonian Model for Coupled Heat Transfer
Mathematics, 10 (24) :4635
2022
Herausgeber: MDPI

4918.

Yoda, R.; Bolten, Matthias; Nakajima, K.; Fujii, A.
Acceleration of optimized coarse-grid operators by spatial redistribution for multigrid reduction in time
In Groen, Derek and de Mulatier, Clelia and Paszynski, Maciej and Krzhizhanovskaya, Valeria V. and Dongarra, Jack J. and Sloot, Peter M. A., Editor, Computational Science - ICCS 2022, Seite 214-221
In Groen, Derek and de Mulatier, Clelia and Paszynski, Maciej and Krzhizhanovskaya, Valeria V. and Dongarra, Jack J. and Sloot, Peter M. A., Editor
Herausgeber: Springer International Publishing, Cham
2022

4917.

Yoda, R.; Bolten, M.; Nakajima, K.; Fujii, A.
Acceleration of optimized coarse-grid operators by spatial redistribution for multigrid reduction in time
In Groen, Derek and de Mulatier, Clelia and Paszynski, Maciej and Krzhizhanovskaya, Valeria V. and Dongarra, Jack J. and Sloot, Peter M. A., Editor, Computational Science - ICCS 2022, Seite 214-221
In Groen, Derek and de Mulatier, Clelia and Paszynski, Maciej and Krzhizhanovskaya, Valeria V. and Dongarra, Jack J. and Sloot, Peter M. A., Editor
Herausgeber: Springer International Publishing, Cham
2022

4916.

Ehrhardt, Matthias
An efficient second-order method for the linearized Benjamin-Bona-Mahony equation with artificial boundary conditions
Preprint IMACM
2022
Herausgeber: Bergische Universität Wuppertal