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



2019

4092.

Schöps, Sebastian; Duque Guerra, David J; De Gersem, Herbert; Bartel, Andreas; Günther, Michael; Pulch, Roland
Non-Intrusive methods for the cosimulation of coupled problems
In ter Maten, E. Jan W. and Brachtendorf, Hans-Georg and Pulch, Roland and Schoenmaker, Wim and De Gersem, Herbert, Editor aus Mathematics in Industry
Seite 131–159
Herausgeber: Springer Cham
2019
131–159

4091.

Schöps, Sebastian; Duque Guerra, David J; De Gersem, Herbert; Bartel, Andreas; Günther, Michael; Pulch, Roland
Non-Intrusive methods for the cosimulation of coupled problems
In ter Maten, E. Jan W. and Brachtendorf, Hans-Georg and Pulch, Roland and Schoenmaker, Wim and De Gersem, Herbert, Editor aus Mathematics in Industry
Seite 131–159
Herausgeber: Springer Cham
2019
131–159

4090.

Putek, Piotr
Nonlinear magnetoquasistatic interface problem in a perma\-nent-magnet machine with stochastic partial differential equation constraints
Engineering Optimization :1--24
März 2019

4089.

Putek, Piotr
Nonlinear magnetoquasistatic interface problem in a permanent-magnet machine with stochastic partial differential equation constraints
Engineering Optimization, 51 (12) :2169–2192
2019
Herausgeber: Taylor & Francis

4088.

Adam, Ahmad Y.; Jensen, Per; Yachmenev, Andrey; Yurchenko, Sergey N.
Nonresonant Raman spectra of the methyl radical \(^{12}\)CH\(_{3}\) simulated in variational calculations
Journal of Molecular Spectroscopy, 362 :77-83
2019
Herausgeber: Academic Press

4087.

Adam, Ahmad Y.; Jensen, Per; Yachmenev, Andrey; Yurchenko, Sergey N.
Nonresonant Raman spectra of the methyl radical \(^{12}\)CH\(_{3}\) simulated in variational calculations
Journal of Molecular Spectroscopy, 362 :77-83
2019
Herausgeber: Academic Press

4086.

Adam, Ahmad Y.; Jensen, Per; Yachmenev, Andrey; Yurchenko, Sergey N.
Nonresonant Raman spectra of the methyl radical 12CH3 simulated in variational calculations
Journal of Molecular Spectroscopy, 362 :77-83
2019
Herausgeber: Academic Press

4085.

Bolten, Matthias; Gottschalk, H.; Hahn, C.; Saadi, M.
Numerical shape optimization to decrease failure probability of ceramic structures
Comput. Vis. Sci., 21 :1-10
2019

4084.

Bolten, M.; Gottschalk, H.; Hahn, C.; Saadi, M.
Numerical shape optimization to decrease failure probability of ceramic structures
Comput. Vis. Sci., 21 :1-10
2019

4083.

Bolten, M.; Gottschalk, H.; Hahn, C.; Saadi, M.
Numerical shape optimization to decrease failure probability of ceramic structures
Comput. Vis. Sci., 21 :1-10
2019

4082.

Jacob, Birgit; Schwenninger, Felix L.; Zwart, Hans
On continuity of solutions for parabolic control systems and input-to-state stability
J. Differential Equations, 266 (10) :6284--6306
2019

4081.

Jacob, Birgit; Kaiser, Julia T.
On Exact Controllability of Infinite-Dimensional Linear Port-{H}amiltonian Systems
IEEE Control Systems Letters, 3 (3) :661-666
2019

4080.

Jacob, Birgit; Kaiser, Julia T.
On Exact Controllability of Infinite-Dimensional Linear Port-Hamiltonian Systems
IEEE Control Systems Letters, 3 (3) :661-666
2019

4079.

Weinan, E; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations
Journal of Scientific Computing, 79 (3) :1534--1571
2019
Herausgeber: Springer

4078.

E, Weinan; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations
Journal of Scientific Computing, 79 (3) :1534–1571
2019
Herausgeber: Springer New York

4077.

Harbrecht, Helmut; Zaspel, Peter
On the Algebraic Construction of Sparse Multilevel Approximations of Elliptic Tensor Product Problems
J. Sci. Comput., 78 (2) :1272-1290
2019
ISSN: 1573-7691

4076.

Calore, E; Gabbana, A; Schifano, SF; Tripiccione, R
Optimization of lattice Boltzmann simulations on heterogeneous computers
The International Journal of High Performance Computing Applications, 33 (1) :124–139
2019
Herausgeber: SAGE Publications

4075.


Organometallic gold catalysis in combination with enzyme, organo-, or transition-metal catalysis
Science of Synthesis, Knowledge Updates (1) :1–64
2019

4074.

Ballaschk, Frederic
Oxidation of secondary alcohols using solid-supported hypervalent iodine catalysts
Green Chemistry :5896–5903
2019
ISSN: 1463-9270

4073.

Brunnert, Rainer; Bohrmann-Linde, Claudia; Meuter, Nico; Pereira Vaz, Nuno; Spinnen, Sebastian; Yurdanur, Yasemin; Tausch, Michael W.
Photons and Molecules: Basic Concepts of Photochemistry in Video Tutorials
, EPA Newsletter Band 96 aus EPA Newsletter
Seite 70-77
Herausgeber: Norbert Hoffmann
2019
70-77

4072.

Ehrhardt, Matthias
Preprint Elliptical and Archimedean copula models: an application to the price estimation of portfolio credit derivatives
2019

4071.

Bartel, Andreas; Günther, Michael
Preprint Inter/extrapolation-based multirate schemes—perspective
2019

4070.

Ehrhardt, Matthias; Vázquez, Carlos
Pricing swing options in electricity markets with two stochastic factors: PIDE modeling and numerical solution
3rd International Conference on Computational Finance (ICCF2019), Seite 89–90
Herausgeber: Universidade da Coruña
2019

4069.

Ehrhardt, Matthias; Vázquez, Carlos
Pricing swing options in electricity markets with two stochastic factors: PIDE modeling and numerical solution
3rd International Conference on Computational Finance (ICCF2019), Seite 89–90
Herausgeber: Universidade da Coruña
2019

4068.

Rivela, Cynthia B.; Tovar, Carmen M.; Gibilisco, Rodrigo G.; Teruel, Mariano A.; Barnes, Ian; Wiesen, Peter; Blanco, Mar{í}a B.
Product distribution and mechanism of the OH\(^{-}\) initiated tropospheric degradation of three CFC replacement candidates: CH\(_{3}\)CF=CH\(_{2}\), (CF\(_{3}\))\(_{2}\)C=CH\(_{2}\) and (E/Z)-CF\(_{3}\)CF=CHF
RSC Advances, 9 (10) :5592-5598
2019