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
4315.
Stiglmayr, Michael
Layout problems with reachability constraint
In J. S. Neufeld and U. Buscher and R. Lasch and D. Möst and J. Schönberger, Editor, Operations Research Proceedings 2019
Operations Research 2019
Dresden
In J. S. Neufeld and U. Buscher and R. Lasch and D. Möst and J. Schönberger, Editor
Herausgeber: Springer, Cham
20204314.
Stiglmayr, Michael
Layout problems with reachability constraint
In J. S. Neufeld and U. Buscher and R. Lasch and D. Möst and J. Schönberger , Editor, Operations Research Proceedings 2019
Operations Research 2019
Dresden
In J. S. Neufeld and U. Buscher and R. Lasch and D. Möst and J. Schönberger , Editor
Herausgeber: Springer, Cham
20204313.
Acu, Ana Maria; Heilmann, Margareta; Raşa, Ioan
Linking Baskakov type operators
CONSTRUCTIVE THEORY OF FUNCTIONS, Sozopol 2019, Seite 23-38
Herausgeber: Prof. Marin Drinov Academic Publishing House
20204312.
[german] Zeller, Diana; Bohrmann-Linde, Claudia
Mit Früchten zum elektrischen Strom! - Dynamische eBooks am Beispiel des Konzepts ''Alternative Solarzellen mit Titandioxid''
Digital Unterrichten Biologie, 3 :10-11
20204311.
Bartel, Andreas; Ehrhardt, Matthias
Modulation of Rayleigh-Benard Convection by Lagrangian Thermal Forcing
APS Division of Fluid Dynamics Meeting Abstracts, Seite T01--008
20204310.
Ferrari, P.; Serra-Capizzano, S.
Multigrid for $\mathbb{Q}_{k}$ Finite Element Matrices using a (block) Toeplitz symbol approach
Mathematics, 8 (1) :Paper No. 5
20204309.
Ferrari, P.; Serra-Capizzano, S.
Multigrid for $\mathbb{Q}_{k}$ Finite Element Matrices using a (block) Toeplitz symbol approach
Mathematics, 8 (1) :Paper No. 5
20204308.
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh
Multilevel Picard approximations for high-dimensional semilinear second-order PDEs with Lipschitz nonlinearities
arXiv preprint arXiv:2009.02484
20204307.
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh
Multilevel Picard approximations for high-dimensional semilinear second-order PDEs with Lipschitz nonlinearities
Preprint
20204306.
Hutzenthaler, Martin; Kruse, Thomas
Multilevel Picard Approximations of High-Dimensional Semilinear Parabolic Differential Equations with Gradient-Dependent Nonlinearities
SIAM Journal on Numerical Analysis, 58 (2) :929--961
2020
Herausgeber: SIAM4305.
Hutzenthaler, Martin; Kruse, Thomas
Multilevel Picard approximations of high-dimensional semilinear parabolic differential equations with gradient-dependent nonlinearities
SIAM Journal on Numerical Analysis, 58 (2) :929–961
2020
Herausgeber: Society for Industrial and Applied Mathematics4304.
Kawai, M.; Ida, A.; Matsuba, H.; Nakajima, K.; Bolten, Matthias
Multiplicative Schwartz-Type Block Multi-Color Gauss-Seidel Smoother for Algebraic Multigrid Methods
Proceedings of the International Conference on High Performance Computing in Asia-Pacific Region, Seite 217-226
Herausgeber: ACM, New York
20204303.
Kawai, M.; Ida, A.; Matsuba, H.; Nakajima, K.; Bolten, M.
Multiplicative Schwartz-Type Block Multi-Color Gauss-Seidel Smoother for Algebraic Multigrid Methods
Proceedings of the International Conference on High Performance Computing in Asia-Pacific Region, Seite 217-226
Herausgeber: ACM, New York
20204302.
Klamroth, Kathrin; Lang, Bruno; Seyfried, Armin; Stiglmayr, Michael
Network Simulation for Pedestrian Flows with HyDEFS
Collective Dynamics, 5 :1-16
20204301.
Hanebaum, Sonja
Neuartige (di-)amidbasierte Tenside auf Basis von nachwachsenden Rohstoffen
20204300.
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: 0949-80364299.
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
20204298.
Beck, Christian; Jentzen, Arnulf; Kruse, Thomas
Nonlinear Monte Carlo methods with polynomial runtime for high-dimensional iterated nested expectations
arXiv preprint arXiv:2009.13989
20204297.
Beck, Christian; Jentzen, Arnulf; Kruse, Thomas
Nonlinear Monte Carlo methods with polynomial runtime for high-dimensional iterated nested expectations
Preprint
20204296.
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
20204295.
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
20204294.
Fatoorehchi, Hooman
Numerical and semi-numerical solutions of a modified Thévenin model with application to the dynamic analysis of electrochemical batteries
20204293.
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}4292.
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
20204291.
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
2020
