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

4543.

Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel
Low-rank updates of matrix functions II: Rational Krylov methods
SIAM J. Numer. Anal., 59 (3) :1325-1347
2021

4542.

Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel
Low-rank updates of matrix functions II: Rational Krylov methods
SIAM J. Numer. Anal., 59 (3) :1325-1347
2021

4541.

Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel
Low-rank updates of matrix functions II: Rational Krylov methods
SIAM J. Numer. Anal., 59 (3) :1325-1347
2021

4540.

Haussmann, N.; Zang, M.; Mease, R.; Clemens, M.; Schmuelling, B.
Magnetic Dosimetry Simulations of Wireless Power Transfer Systems with High Resolution Voxel Models Utilizing the Co-Simulation Scalar Potential Finite Difference Scheme
The 12th International Symposium on Electric and Magnetic Fields (EMF 2021), Online Conference, 06.-08.07.2021. Abstract accepted.
2021

4539.

Zang, M.; Haussmann, N.; Mease, R.; Clemens, M.; Schmuelling, B.
Magnetic Field Exposure Simulations of Human Bodies close by a Wireless Power Transfer System of an Elec-trically Powered Taxi
The 12th International Symposium on Electric and Magnetic Fields (EMF 2021), Online Conference, 06.-08.07.2021. Abstract accepted.
2021

4538.

Araújo, Adérito; Ehrhardt, Matthias
Mathematical models of the spread and consequences of the SARS-CoV-2 pandemics: Effects on health, society, industry, economics and technology
Journal of Mathematics in Industry, 11 :1–2
2021
Herausgeber: Springer Verlag

4537.

Araújo, Adérito; Ehrhardt, Matthias
Mathematical models of the spread and consequences of the SARS-CoV-2 pandemics: Effects on health, society, industry, economics and technology
Journal of Mathematics in Industry, 11 :1–2
2021
Herausgeber: Springer Verlag

4536.

Araújo, Adérito; Ehrhardt, Matthias
Mathematical models of the spread and consequences of the SARS-CoV-2 pandemics: Effects on health, society, industry, economics and technology
2021

4535.

Bannenberg, Marcus WFM; Kasolis, Fotios; Günther, Michael; Clemens, Markus
Maximum entropy snapshot sampling for reduced basis modelling
COMPEL-The international journal for computation and mathematics in electrical and electronic engineering, 41 (3) :954--966
2021
Herausgeber: Emerald Publishing Limited

4534.

Burger, Martin; Pinnau, Rene; Totzeck, Claudia; Tse, Oliver
Mean-field optimal control and optimality conditions in the space of probability measures
SIAM Journal of Control and Optimization, 59 (2) :977-1006
2021

4533.

Burger, Martin; Kreusser, Lisa Maria; Totzeck, Claudia
Mean-field optimal control for biological pattern formation
ESAIM COCV, 27 (40)
2021

4532.

Aab, Alexander; others
Measurement of the Fluctuations in the Number of Muons in Extensive Air Showers with the Pierre Auger Observatory
Phys. Rev. Lett., 126 (15) :152002
2021

4531.

Gesell, H.; Gutt, R.; Janssen, N.; Janoske, U.
Modeling of the Aluminium Electrolysis Process: Feeding and Dissolution of Alumina Particles
presented at NAFEMS World Congress 2022
Oktober 2021

4530.

Pereira Vaz, Nuno; Bohrmann-Linde, Claudia
Modellexperiment Treibhauseffekt 2.0
Naturwissenschaften im Unterricht Chemie, 5/21 (32) :26--31
2021

4529.

Abreu, Pedro; others
Monte Carlo simulations for the Pierre Auger Observatory using the VO auger grid resources
PoS, ICRC2021 :232
2021

4528.

Donatelli, Marco; Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano; Sesana, Debora
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications
Numer. Linear Algebra Appl., 28 (4) :Paper No. e2356, 20
2021

4527.

Donatelli, Marco; Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano; Sesana, Debora
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications
Numer. Linear Algebra Appl., 28 (4) :Paper No. e2356, 20
2021
ISSN: 1070-5325

4526.

Donatelli, Marco; Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano; Sesana, Debora
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications
Numer. Linear Algebra Appl., 28 (4) :Paper No. e2356, 20
2021
ISSN: 1070-5325

4525.

Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; others
Multilevel Picard iterations for solving smooth semilinear parabolic heat equations
Partial Differential Equations and Applications, 2 (6) :1--31
2021
Herausgeber: Springer

4524.

Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; others
Multilevel Picard iterations for solving smooth semilinear parabolic heat equations
Partial Differential Equations and Applications, 2 (6) :1–31
2021
Herausgeber: Springer International Publishing

4523.

Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano
Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix sequences
Electron. J. Linear Algebra, 37 :370-386
2021

4522.

Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano
Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix sequences
Electron. J. Linear Algebra, 37 :370-386
2021

4521.

Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano
Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix sequences
Electron. J. Linear Algebra, 37 :370-386
2021

4520.

Hachtel, Christoph; Bartel, Andreas; Günther, Michael; Sandu, Adrian
Multirate implicit Euler schemes for a class of differential--algebraic equations of index-1
Journal of Computational and Applied Mathematics, 387 :112499
2021
Herausgeber: North-Holland

4519.

Hachtel, Christoph; Bartel, Andreas; Günther, Michael; Sandu, Adrian
Multirate implicit Euler schemes for a class of differential-algebraic equations of index-1
Journal of Computational and Applied Mathematics, 387 :112499
2021
Herausgeber: North-Holland