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
4266.
Hanebaum, Sonja
Neuartige (di-)amidbasierte Tenside auf Basis von nachwachsenden Rohstoffen
20204265.
Wiesen, P.; Klosterköther, A.; Kleffmann, J.; Kurtenbach, R.
NO2 measurements in the city centre of Wuppertal – Contribution of buses to the NOx emission/NO2-Messungen in der Wuppertaler Innenstadt: Anteil von Bussen an der NOx-Emission
Gefahrstoffe, 80 (11-12) :421--426
2020
ISSN: 0949-80364264.
Jacob, Birgit; Mironchenko, Andrii; Partington, Jonathan R.; Wirth, Fabian
Non-coercive Lyapunov functions for input-to-state stability of infinite-dimensional systems
SIAM Journal on Control and Optimization, 58 (5) :2952-2978
20204263.
Beck, Christian; Jentzen, Arnulf; Kruse, Thomas
Nonlinear Monte Carlo methods with polynomial runtime for high-dimensional iterated nested expectations
arXiv preprint arXiv:2009.13989
20204262.
Beck, Christian; Jentzen, Arnulf; Kruse, Thomas
Nonlinear Monte Carlo methods with polynomial runtime for high-dimensional iterated nested expectations
Preprint
20204261.
Heilmann, Margareta; Raşa, Ioan
Note on a proof for the representation of the k-th order Kantorovich modification of linking Baskakov type operators
Mathematical Analysis I: Approximation Theory , Seite 89-94
ICRAPAM 2018
New Delhi, India
October 23-25
In Naokant Deo, Vijay Gupta, Ana Maria Acu , Editor
Herausgeber: Springer, Berlin
20204260.
Heilmann, Margareta; Raşa, Ioan
Note on a proof for the representation of the kth order Kantorovich modification of linking Baskakov type operators
In Deo, Naokant and Gupta, Vijay and Acu, Ana Maria and Agrawal, P. N., Editor, Mathematical Analysis I: Approximation Theory , Seite 89–93
In Deo, Naokant and Gupta, Vijay and Acu, Ana Maria and Agrawal, P. N., Editor
Herausgeber: Springer Singapore
20204259.
Fatoorehchi, Hooman
Numerical and semi-numerical solutions of a modified Thévenin model with application to the dynamic analysis of electrochemical batteries
20204258.
Gesell, Hendrik; Nandana, Varchasvi; Janoske, Uwe
Numerical study on the heat transfer performance and efficiency in a rectangular duct with new winglet shapes in turbulent flow
Thermal Science and Engineering Progress, 17 :100490
Juni 2020
Herausgeber: Elsevier {BV}4257.
Damm, Tobias; Jacob, Birgit
On coercivity and the frequency domain condition in indefinite LQ-control
Ann. Acad. Rom. Sci. Ser. Math. Appl., 12 (1-2) :553-563
20204256.
Schulze, Britta; Stiglmayr, Michael; Paquete, Luís; Fonseca, Carlos M.; Willems, David; Ruzika, Stefan
On the Rectangular Knapsack Problem Approximation of a Specific Quadratic Knapsack Problem
Mathematical Methods of Operations Research, 92 (1) :107-132
20204255.
Csomós, Petra; Ehrhardt, Matthias; Farkas, Bálint
Operator splitting for abstract cauchy problems with dynamical boundary condition
arXiv preprint arXiv:2004.13503
20204254.
Csomós, Petra; Ehrhardt, Matthias; Farkas, Bálint
Operator splitting for abstract Cauchy problems with dynamical boundary conditions
20204253.
Kruse, Thomas; Strack, Philipp
Optimal control of an epidemic through social distancing
Available at SSRN 3581295
20204252.
Ankirchner, Stefan; Fromm, Alexander; Kruse, Thomas; Popier, Alexandre
Optimal position targeting via decoupling fields
The Annals of Applied Probability, 30 (2) :644--672
2020
Herausgeber: Institute of Mathematical Statistics4251.
Ankirchner, Stefan; Fromm, Alexander; Kruse, Thomas; Popier, Alexandre
Optimal position targeting via decoupling fields
The Annals of Applied Probability, 30 (2) :644–672
2020
Herausgeber: Institute of Mathematical Statistics4250.
Beck, Christian; Hornung, Fabian; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
Overcoming the curse of dimensionality in the numerical approximation of Allen--Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations
Journal of Numerical Mathematics, 28 (4) :197--222
2020
Herausgeber: De Gruyter4249.
Beck, Christian; Hornung, Fabian; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations
Journal of Numerical Mathematics, 28 (4) :197–222
2020
Herausgeber: De Gruyter4248.
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Anh Nguyen, Tuan; Wurstemberger, Philippe
Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations
Proceedings of the Royal Society A, 476 (2244) :20190630
2020
Herausgeber: The Royal Society Publishing4247.
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Anh Nguyen, Tuan; Wurstemberger, Philippe
Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations
Proceedings of the Royal Society A, 476 (2244) :20190630
2020
Herausgeber: The Royal Society Publishing4246.
Bolten, M.; Friedhoff, S.; Hahne, J.; Schöps, S.
Parallel-in-time simulation of an electrical machine using MGRIT
Comput. Vis. Sci., 23 (1-4) :Paper No. 14, 14
20204245.
Bolten, Matthias; Friedhoff, S.; Hahne, J.; Schöps, S.
Parallel-in-time simulation of an electrical machine using MGRIT
Comput. Vis. Sci., 23 (1-4) :Paper No. 14, 14
20204244.
Bolten, M.; Friedhoff, S.; Hahne, J.; Schöps, S.
Parallel-in-time simulation of an electrical machine using MGRIT
Comput. Vis. Sci., 23 (1-4) :Paper No. 14, 14
20204243.
Schlachter, Louisa; Totzeck, Claudia
Parameter identification in uncertain scalar conservation laws discretized with the discontinuous stochastic Galerkin Scheme
Communications in Computational Physics, 28 (4) :1585-1608
20204242.
Brunnert, Rainer; Tausch, Michael W.; Bohrmann-Linde, Claudia
Paving the way for curriculum innovation through participatory action research in bilingual chemistry and bilingual biology lessons at German secondary schools: Results from a survey among teachers concerning their material demands
ARISE, 1 (3) :17--23
2020
