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

4042.

Wißdorf, Walter; Lorenz, Matthias; Brockmann, Klaus Josef; Benter, Thorsten
Systematic Ion Source Parameter Assessment by Automated Determination of the Distribution of Ion Acceptance (DIA) Using APLI
Journal of The American Society for Mass Spectrometry, 30 (7) :1262-1275
2019
Herausgeber: Journal of The American Society for Mass Spectrometry

4041.

Wissdorf, Walter; Lorenz, Matthias; Brockmann, Klaus Josef; Benter, Thorsten
Systematic Ion Source Parameter Assessment by Automated Determination of the Distribution of Ion Acceptance (DIA) Using APLI
Journal of The American Society for Mass Spectrometry, 30 (7) :1262-1275
2019
Herausgeber: Journal of The American Society for Mass Spectrometry

4040.

[english] Grandrath, Rebecca; Bohrmann-Linde, Claudia
Teaching Sustainability in the Chemistry Classroom: Exploring Fuel Cells in Simple Hands-on Experiments with Hydrogen, Sugar and Alcohol
World Journal of Chemical Education, 7 (2) :172-178
2019
ISSN: 2375-1657

4039.

Janssen, Rick; Gillon, Renaud; Wieers, Aarnout; Deleu, Frederik; Guegnaud, Hervé; Reynier, Pascal; Schoenmaker, Wim; Maten, E. Jan W.
Test cases for power-MOS devices and RF-circuitry
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 459–485
Herausgeber: Springer Cham
2019
459–485

4038.

Ehrhardt, Matthias; Günther, Michael
The 2D tree--grid method
Journal of Computational Finance
2019

4037.

Biallas, Phillip; Mensak, Tobias M.; Kunz, Kevin-Alexander
The Deazidoalkoxylation: Sequential Nucleophilic Substitutions with Diazidated Diethyl Malonate
The Journal of Organic Chemistry, 84 (3) :1654–1663
2019
ISSN: 0022-3263

4036.

Ferrari, Paola; Furci, Isabella; Hon, Sean; Mursaleen, Mohammad Ayman; Serra-Capizzano, Stefano
The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures
SIAM J. Matrix Anal. Appl., 40 (3) :1066-1086
2019

4035.

Ferrari, Paola; Furci, Isabella; Hon, Sean; Mursaleen, Mohammad Ayman; Serra-Capizzano, Stefano
The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures
SIAM J. Matrix Anal. Appl., 40 (3) :1066-1086
2019
ISSN: 0895-4798

4034.

Ferrari, Paola; Furci, Isabella; Hon, Sean; Mursaleen, Mohammad Ayman; Serra-Capizzano, Stefano
The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures
SIAM J. Matrix Anal. Appl., 40 (3) :1066-1086
2019
ISSN: 0895-4798

4033.

Kruse, Thomas; Schneider, Judith C; Schweizer, Nikolaus
The joint impact of F-divergences and reference models on the contents of uncertainty sets
Operations Research, 67 (2) :428--435
2019
Herausgeber: INFORMS

4032.

Kruse, Thomas; Schneider, Judith; Schweizer, Nikolaus
The joint impact of F-divergences and reference models on the contents of uncertainty sets
Operations Research, 67 (2) :428–435
2019
Herausgeber: INFORMS

4031.

Bunker, Philip R.; Mills, Ian M.; Jensen, Per
The Planck constant and its units
Journal of Quantitative Spectroscopy and Radiative Transfer, 237 :106594
2019

4030.

Bunker, Philip R.; Mills, Ian M.; Jensen, Per
The Planck constant and its units
Journal of Quantitative Spectroscopy and Radiative Transfer, 237 :106594
2019

4029.

Bunker, Philip R.; Mills, Ian M.; Jensen, Per
The Planck constant and its units
Journal of Quantitative Spectroscopy and Radiative Transfer, 237 :106594
2019

4028.

Ehrhardt, Matthias; Günther, Michael
The Two-Dimensional Tree--Grid Method
Journal of Computational Finance, Forthcoming
2019

4027.

Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
The two-dimensional tree-grid method
Journal of Computational Finance, 23 (2) :29–57
2019
Herausgeber: Incisive Media

4026.

Kossaczky, Igor; Ehrhardt, Matthias
The two-dimensional tree-grid method
JOURNAL OF COMPUTATIONAL FINANCE, 23 (2) :29--57
2019
Herausgeber: INCISIVE MEDIA HAYMARKET HOUSE, 28-29 HAYMARKET, LONDON, SW1Y 4RX, ENGLAND

4025.

Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
The two-dimensional tree-grid method
Journal of Computational Finance, 23 (2) :29–57
2019
Herausgeber: Incisive Media

4024.

Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
The two-dimensional tree-grid method
Journal of Computational Finance, 23 (2) :29–57
2019
Herausgeber: Incisive Media

4023.

Palma-Cando, A.; Rendon-Enriquez, Ibeth; Tausch, Michael W.; Scherf, U.
Thin Functional Polymer Films by Electropolymerization
Nanomaterials, 9 (8) :1125
2019

4022.

[english] Kremer, Richard; Meuter, Nico; Tausch, Michael W.
Towards Artificial Photosynthesis - Promoting Microscale Photochemistry in Science Education
African Journal of Chemical Education, 9 (3) :120-134
2019

4021.

[english] Brunnert, Rainer; Yurdanur, Yasemin; Tausch, Michael W.
Towards Artificial Photosynthesis in Science Education
World Journal of Chemical Education, 7 (2) :33--39
2019
Herausgeber: Science and Education Publishing Co., Ltd.

4020.

Mellor, Thomas M.; Yurchenko, Sergey N.; Mant, Barry P.; Jensen, Per
Transformation Properties under the Operations of the Molecular Symmetry Groups G\(_{36}\) and G\(_{36}\)(EM) of Ethane H\(_{3}\)CCH\(_{3}\)
Symmetry, 11 (7) :862
2019

4019.

Mellor, Thomas M.; Yurchenko, Sergey N.; Mant, Barry P.; Jensen, Per
Transformation Properties under the Operations of the Molecular Symmetry Groups G\(_{36}\) and G\(_{36}\)(EM) of Ethane H\(_{3}\)CCH\(_{3}\)
Symmetry, 11 (7) :862
2019

4018.

Mellor, Thomas M.; Yurchenko, Sergey N.; Mant, Barry P.; Jensen, Per
Transformation Properties under the Operations of the Molecular Symmetry Groups G36 and G36(EM) of Ethane H3CCH3
Symmetry, 11 (7) :862
2019