Magnetics

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.

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: 4291.
Doganay, Onur Tanil; Gottschalk, Hanno; Hahn, Camilla; Klamroth, Kathrin; Schultes, Johanna; Stiglmayr, Michael
Gradient based biobjective shape optimization to improve reliability and cost of ceramic components
Optimization and Engineering, 21 (4) :1359-1387
2020
DOI: 10.1007/s11081-019-09478-7; 4290.
Xue, Chaoyang; Zhang, Chenglong; Ye, Can; Liu, Pengfei; Catoire, Valéry; Krysztofiak, Gisèle; Chen, Hui; Ren, Yangang; Zhao, Xiaoxi; Wang, Jinhe; Zhang, Fei; Zhang, Chongxu; Zhang, Jingwei; An, Junling; Wang, Tao; Chen, Jianmin; Kleffmann, Jörg; Mellouki, Abdelwahid; Mu, Yujing
HONO Budget and Its Role in Nitrate Formation in the Rural North China Plain
Environmental Science \& Technology, 54 (18) :11048--11057
September 2020
ISSN: 0013-936X, 1520-5851
DOI: 10.1021/acs.est.0c01832; 4289.
Kutzner, Laura; Goloshchapova, Kateryna; Rund, Katharina M.; Jübermann, Martin; Blum, Maximilian; Rothe, Michael; Schunck, Wolf-Hagen; Kühn, Hartmut; Schebb, Nils Helge
Human lipoxygenase isoforms form complex patterns of double and triple oxygenated compounds from eicosapentaenoic acid
Biochimica et Biophysica Acta (BBA) - Molecular and Cell Biology of Lipids, 1865 (12) :158806
2020
ISSN: 1388-1981
DOI: 10.1016/j.bbalip.2020.158806; 4288.
Burger, Martin; Pinnau, Rene; Totzeck, Claudia; Tse, Oliver; Roth, Andreas
Instantaneous control of interacting particle systems in the mean-field limit
Journal of Computational Physics, 405 :109181
2020
DOI: 10.48550/arXiv.1903.12407; 4287.
Bartel, Andreas; Günther, Michael
Inter/extrapolation-based multirate schemes -- a dynamic-iteration perspective
In Reis, Timo and Grundel, Sara and Schöps, Sebastian, Editor
Seite 73--90
Herausgeber: Springer
2020
73--90
DOI: 10.1007/978-3-030-53905-4_3; 4286.
Bartel, Andreas; Günther, Michael
Inter/extrapolation-based multirate schemes: a dynamic-iteration perspective
Progress in differential-algebraic equations II, Seite 73--90
Springer International Publishing
2020; 4285.
Bartel, Andreas; Günther, Michael
Inter/extrapolation-based multirate schemes: A dynamic-iteration perspective
In Reis, Timo and Grundel, Sara and Schöps, Sebastian, Editor, Progress in Differential-Algebraic Equations IIausDifferential-Algebraic Equations Forum, Seite 73–90
In Reis, Timo and Grundel, Sara and Schöps, Sebastian, Editor
Herausgeber: Springer Cham
2020
DOI: 10.1007/978-3-030-53905-4_3; 4284.
Bartel, Andreas; Günther, Michael
Inter/extrapolation-based multirate schemes: A dynamic-iteration perspective
In Reis, Timo and Grundel, Sara and Schöps, Sebastian, Editor, Progress in Differential-Algebraic Equations IIausDifferential-Algebraic Equations Forum, Seite 73–90
In Reis, Timo and Grundel, Sara and Schöps, Sebastian, Editor
Herausgeber: Springer Cham
2020
DOI: 10.1007/978-3-030-53905-4_3; 4283.
Dietz, Tobias; Klamroth, Kathrin; Kraus, Konstantin; Ruzika, Stefan; Schäfer, Luca E.; Schulze, Britta; Stiglmayr, Michael; Wiecek, Margaret M.
Introducing Multiobjective Complex Systems
European Journal of Operational Research, 280 (2) :581--596
2020
Herausgeber: Elsevier
DOI: 10.1016/j.ejor.2019.07.027; 4282.
Kaltenbäck, Michael; Skrepek, Nathanael
Joint functional calculus for definitizable self-adjoint operators on {K}rein spaces
Integral Equations Operator Theory, 92 (4) :Paper No. 29, 36
2020
DOI: 10.1007/s00020-020-02588-3; 4281.
Kaltenbäck, Michael; Skrepek, Nathanael
Joint functional calculus for definitizable self-adjoint operators on Krein spaces
Integral Equations Operator Theory, 92 (4) :Paper No. 29, 36
2020
DOI: 10.1007/s00020-020-02588-3; 4280.
Frommer, Andreas; Jacob, Birgit; Kahl, Karsten; Wyss, Christian; Zwaan, Ian
Krylov type methods exploiting the quadratic numerical range
Electron. Trans. Numer. Anal., 53 :541-561
2020
DOI: 10.1553/etna_vol53s541
Download; 4279.
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
2020
DOI: 10.1007/978-3-030-48439-2; 4278.
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
2020
Download; 4277.
[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
2020; 4276.
Bartel, Andreas; Ehrhardt, Matthias
Modulation of Rayleigh-Benard Convection by Lagrangian Thermal Forcing
APS Division of Fluid Dynamics Meeting Abstracts, Seite T01--008
2020; 4275.
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
2020
DOI: 10.3390/math8010005; 4274.
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
2020
DOI: 10.3390/math8010005; 4273.
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
2020; 4272.
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh
Multilevel Picard approximations for high-dimensional semilinear second-order PDEs with Lipschitz nonlinearities
Preprint
2020
DOI: 10.48550/arXiv.2009.02484; 4271.
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: SIAM; 4270.
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 Mathematics
DOI: 10.1137/17M1157015; 4269.
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
2020
DOI: 10.1145/3368474.3368481; 4268.
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
2020
DOI: 10.1145/3368474.3368481; 4267.
Klamroth, Kathrin; Lang, Bruno; Seyfried, Armin; Stiglmayr, Michael
Network Simulation for Pedestrian Flows with HyDEFS
Collective Dynamics, 5 :1-16
2020
DOI: 10.17815/CD.2020.24

Computational Magnetics

Research Questions

Cooperation

Former and ongoing projects

Publications

4291.

4290.

4289.

4288.

4287.

4286.

4285.

4284.

4283.

4282.

4281.

4280.

4279.

4278.

4277.

4276.

4275.

4274.

4273.

4272.

4271.

4270.

4269.

4268.

4267.