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
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
- Efficiency of the time-integration for field devices in pulsed circuits (multirate, dynamic iteration)
- DAE-index of the coupled system
- Existence and Uniqueness of the solution
Cooperation
- Herbert De Gersem, Katholieke Universiteit Leuven
- Markus Clemens, Bergische Universität Wuppertal
- Sascha Baumanns, Universität zu Köln
Former and ongoing projects
Publications
- 2020
4366.
Haack, Alexander; Polaczek, Christine; Tsolakis, Manuel; Thinius, Marco; Kersten, Hendrik; Benter, Thorsten
Charge Retention/Charge Depletion in ESI-MS: Theoretical Rationale
Journal of the American Society for Mass Spectrometry, 31 (4) :785-795
April 20204365.
Haack, Alexander; Polaczek, Christine; Tsolakis, Manuel; Thinius, Marco; Kersten, Hendrik; Benter, Thorsten
Charge Retention/Charge Depletion in ESI-MS: Theoretical Rationale
Journal of the American Society for Mass Spectrometry, 31 (4) :785-795
April 20204364.
Crouse, Jeff; Haack, Alexander; Benter, Thorsten; Hopkins, W. Scott
Understanding Nontraditional Differential Mobility Behavior: A Case Study of the Tricarbastannatrane Cation, N(CH \(_{2}\) CH \(_{2}\) CH \(_{2}\) ) \(_{3}\) Sn \(^{+}\)
Journal of the American Society for Mass Spectrometry, 31 (4) :796-802
April 20204363.
Crouse, Jeff; Haack, Alexander; Benter, Thorsten; Hopkins, W. Scott
Understanding Nontraditional Differential Mobility Behavior: A Case Study of the Tricarbastannatrane Cation, N(CH \(_{2}\) CH \(_{2}\) CH \(_{2}\) ) \(_{3}\) Sn \(^{+}\)
Journal of the American Society for Mass Spectrometry, 31 (4) :796-802
April 20204362.
Crouse, Jeff; Haack, Alexander; Benter, Thorsten; Hopkins, W. Scott
Understanding Nontraditional Differential Mobility Behavior: A Case Study of the Tricarbastannatrane Cation, N(CH 2 CH 2 CH 2 ) 3 Sn +
Journal of the American Society for Mass Spectrometry, 31 (4) :796-802
April 20204361.
Izak-Nau, Emilia; Campagna, Davide; Baumann, Christoph; Göstl, Robert
Polymer mechanochemistry-enabled pericyclic reactions
Polymer Chemistry, 11 (13) :2274--2299
März 2020
ISSN: 1759-99624360.
Haack, Alexander; Benter, Thorsten; Kersten, Hendrik
Computational analysis of the proton bound acetonitrile dimer, (ACN) \(_{2}\) H \(^{+}\)
Rapid Communications in Mass Spectrometry
März 20204359.
Haack, Alexander; Benter, Thorsten; Kersten, Hendrik
Computational analysis of the proton bound acetonitrile dimer, (ACN) \(_{2}\) H \(^{+}\)
Rapid Communications in Mass Spectrometry
März 20204358.
Haack, Alexander; Benter, Thorsten; Kersten, Hendrik
Computational analysis of the proton bound acetonitrile dimer, (ACN) 2 H +
Rapid Communications in Mass Spectrometry
März 20204357.
Sun, Jing; Su, Juanjuan; Ma, Chao; Göstl, Robert; Herrmann, Andreas; Liu, Kai; Zhang, Hongjie
Fabrication and Mechanical Properties of Engineered Protein-Based Adhesives and Fibers
Advanced Materials, 32 (6) :1906360
Februar 2020
ISSN: 1521-40954356.
[english] Meuter, Nico; Spinnen, Sebastian; Tausch, Michael W.
Two Versatile Experiments for Teaching Photochemistry: Photon Upconversion by TTA and All Optical INHIBIT Logical Gate
EPA (European Photochemistry Association) Newsletter (97) :9-15
Februar 20204355.
Stratigaki, Maria; Baumann, Christoph; Breemen, Lambert C. A. van; Heuts, Johan P. A.; Sijbesma, Rint P.; Göstl, Robert
Fractography of poly(N-isopropylacrylamide) hydrogel networks crosslinked with mechanofluorophores using confocal laser scanning microscopy
Polymer Chemistry, 11 (2) :358--366
Januar 2020
ISSN: 1759-99624354.
1-Nitrogen-Functionalized 2-Haloalkenes (Update 2020)
Science of Synthesis, Knowledge Updates (2) :235–275
20204353.
Budde, Christian; Farkas, B{\'a}lint
A {D}esch-{S}chappacher perturbation theorem for bi-continuous semigroups
Math. Nachr., 293 (6) :1053-1073
20204352.
Budde, Christian; Farkas, Bálint
A Desch-Schappacher perturbation theorem for bi-continuous semigroups
Math. Nachr., 293 (6) :1053-1073
20204351.
Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail; others
A functional limit theorem for coin tossing Markov chains
, Annales de l'Institut Henri Poincaré, Probabilités et StatistiquesBand56, Seite 2996--3019
Institut Henri Poincaré
20204350.
Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail; others
A functional limit theorem for coin tossing Markov chains
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 56 (4) :2996–3019
2020
Herausgeber: Institute of Mathematical Statistics4349.
Teng, Long; Lapitckii, Aleksandr; Günther, Michael
A multi-step scheme based on cubic spline for solving backward stochastic differential equations
Applied Numerical Mathematics, 150 :117–138
2020
Herausgeber: Elsevier4348.
Teng, Long; Lapitckii, Aleksandr; Günther, Michael
A multi-step scheme based on cubic spline for solving backward stochastic differential equations
Applied Numerical Mathematics, 150 :117--138
April 2020
Herausgeber: North-Holland4347.
Teng, Long; Lapitckii, Aleksandr; Günther, Michael
A multi-step scheme based on cubic spline for solving backward stochastic differential equations
Applied Numerical Mathematics, 150 :117–138
2020
Herausgeber: Elsevier4346.
Teng, Long; Wu, Xueran; Günther, Michael; Ehrhardt, Matthias
A new methodology to create valid time-dependent correlation matrices via isospectral flows
ESAIM: Mathematical Modelling and Numerical Analysis, 54 (2) :361–371
2020
Herausgeber: EDP Sciences4345.
Teng, Long; Wu, Xueran; Günther, Michael; Ehrhardt, Matthias
A new methodology to create valid time-dependent correlation matrices via isospectral flows
ESAIM: Mathematical Modelling and Numerical Analysis, 54 (2) :361–371
2020
Herausgeber: EDP Sciences4344.
Teng, Long; Wu, Xueran; Günther, Michael; Ehrhardt, Matthias
A new methodology to create valid time-dependent correlation matrices via isospectral flows
ESAIM: Mathematical Modelling and Numerical Analysis, 54 (2) :361--371
Februar 2020
Herausgeber: EDP Sciences4343.
Teng, Long; Wu, Xueran; Günther, Michael; Ehrhardt, Matthias
A new methodology to create valid time-dependent correlation matrices via isospectral flows
ESAIM: Mathematical Modelling and Numerical Analysis, 54 (2) :361–371
2020
Herausgeber: EDP Sciences4342.
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh
A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations
SN Partial Differential Equations and Applications, 1 (2) :1--34
2020
Herausgeber: Springer International Publishing
