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
- 2014
2943.
Tretter, Christiane; Wyss, Christian
Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations
J. Evol. Equ., 14 (1) :121-153
20142942.
Tausch, Michael W.; Spinnen, Sebastian; Essers, Marcel; Krees, Simone
Die Umgebung macht's - Lichtabsorption und -emission in Lösung und in Feststoffmatrix
Praxis der Naturwissenschaften - Chemie in der Schule, 63 (2) :36
20142941.
Bartel, Andreas; Ehrhardt, Matthias
Discrete Artificial Boundary Condition for the Lattice Boltzmann Method
20142940.
Ehrhardt, Matthias
Discrete Transparent Boundary Conditions for Multi-Band Effective Mass Approximations
Multi-Band Effective Mass Approximations: Advanced Mathematical Models and Numerical Techniques :273--318
2014
Herausgeber: Springer International Publishing2939.
Ehrhardt, Matthias
Discrete transparent boundary conditions for multi-band effective mass approximations
In Ehrhardt, Matthias and Koprucki, Thomas, Editor aus Lecture Notes in Computational Science and Engineering
Seite 273–318
Herausgeber: Springer Cham
2014
273–3182938.
Ehrhardt, Matthias
Discrete transparent boundary conditions for multi-band effective mass approximations
In Ehrhardt, Matthias and Koprucki, Thomas, Editor aus Lecture Notes in Computational Science and Engineering
Seite 273–318
Herausgeber: Springer Cham
2014
273–3182937.
Ehrhardt, M.; Günther, M.; Maten, E. J. W.
ECMI SIG on Computational Finance
ECMI Newsletter 56, Seite 20--22
20142936.
Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel
Efficient and stable Arnoldi restarts for matrix functions based on quadrature
SIAM J. Matrix Anal. Appl., 35 (2) :661-683
20142935.
Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel
Efficient and stable Arnoldi restarts for matrix functions based on quadrature
SIAM J. Matrix Anal. Appl., 35 (2) :661-683
20142934.
Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel
Efficient and stable Arnoldi restarts for matrix functions based on quadrature
SIAM J. Matrix Anal. Appl., 35 (2) :661-683
20142933.
Maten, E. Jan W.; Pulch, Roland; Schilders, Wil H. A.; Janssen, H. H. J. M.
Efficient calculation of uncertainty quantification
In Fontes, Magnus and Günther, Michael and Marheineke, Nicole, Editor, Progress in Industrial Mathematics at ECMI 2012Band19ausMathematics in Industry, Seite 361–370
In Fontes, Magnus and Günther, Michael and Marheineke, Nicole, Editor
Herausgeber: Springer Cham
20142932.
Maten, E. Jan W.; Pulch, Roland; Schilders, Wil H. A.; Janssen, H. H. J. M.
Efficient calculation of uncertainty quantification
In Fontes, Magnus and Günther, Michael and Marheineke, Nicole, Editor, Progress in Industrial Mathematics at ECMI 2012Band19ausMathematics in Industry, Seite 361–370
In Fontes, Magnus and Günther, Michael and Marheineke, Nicole, Editor
Herausgeber: Springer Cham
20142931.
Maten, E. Jan W.; Pulch, Roland; Schilders, Wil H. A.; Janssen, H. H. J. M.
Efficient Calculation of Uncertainty Quantification
In M. Fontes and M. Günther and N. Marheineke, Editor, {Progress in Industrial Mathematics at ECMI 2012} Band 19 aus Mathematics in Industry
Seite 361--370
Herausgeber: Springer International Publishing
2014
361--3702930.
Kaufmann, Christof; Günther, Michael; Klagges, Daniel; Knorrenschild, Michael; Richwin, Matthias; Schöps, Sebastian; Maten, E. Jan W.
Efficient frequency-transient co-simulation of coupled heat-electromagnetic problems
Journal of Mathematics in Industry, 4 (1) :1–13
2014
Herausgeber: Springer Verlag2929.
Kaufmann, Christof; Günther, Michael; Klagges, Daniel; Knorrenschild, Michael; Richwin, Matthias; Schöps, Sebastian; Maten, E. Jan W.
Efficient frequency-transient co-simulation of coupled heat-electromagnetic problems
Journal of Mathematics in Industry, 4 (1) :1–13
2014
Herausgeber: Springer Verlag2928.
Kaufmann, Christof; Günther, Michael; Klagges, Daniel; Knorrenschild, Michael; Richwin, Matthias; Schöps, Sebastian; Ter Maten, E Janw
Efficient frequency-transient co-simulation of coupled heat-electromagnetic problems
Journal of Mathematics in Industry, 4 (1) :1--13
2014
Herausgeber: Springer Berlin Heidelberg2927.
Hachtel, Christoph; Bartel, A
Efficient simulation for electrical-thermal systems via multirate-MOR
Proceedings of SCEE
20142926.
Kaufmann, Christof; Günther, Michael; Klagges, Daniel; Maten, Jan; Richwin, Matthias; Schöps, Sebastian
Efficient simulation of frequency-transient mixed co-simulation of coupled heat-electromagnetic problems
Math. Ind, 4
20142925.
Tausch, Michael W.; Roggendorf, Rebecca
Ein Krimi im Chemieunterricht - Flammenfärbung als Beweismittel
Praxis der Naturwissenschaften - Chemie in der Schule, 63 (2) :13
20142924.
Hirano, Tsuneo; Andaloussi, Mounir Ben Dahman; Nagashima, Umpei; Jensen, Per
Electronic structure and rovibrational properties of ZnOH in the X\verb=~=\(^{2}\)A' electronic state: A computational molecular spectroscopy study
The Journal of Chemical Physics, 141 (9) :094308
20142923.
Hirano, Tsuneo; Andaloussi, Mounir Ben Dahman; Nagashima, Umpei; Jensen, Per
Electronic structure and rovibrational properties of ZnOH in the X\verb=~=\(^{2}\)A' electronic state: A computational molecular spectroscopy study
The Journal of Chemical Physics, 141 (9) :094308
20142922.
Hirano, Tsuneo; Andaloussi, Mounir Ben Dahman; Nagashima, Umpei; Jensen, Per
Electronic structure and rovibrational properties of ZnOH in the X~2A' electronic state: A computational molecular spectroscopy study
The Journal of Chemical Physics, 141 (9) :094308
20142921.
Bartel, A.; Günther, M.; Maten, J.
Elektronische Industrie - Mathematics Inside. BUW
Output Nr. 12, Forschungsmagazin der Bergischen Universität Wuppertal, Seite 30-35
20142920.
Bartel, Andreas; G\"unther, Michael; Maten, Jan
Elektronische Industrie --- Mathematics Inside
BUW.Output---Forschungsmagazin der Bergischen Universit\"at Wuppertal
Seite 30-35
Herausgeber: Bergische Universität Wuppertal
2014
30-352919.
Bartel, Andreas; Günther, Michael; Maten, E. Jan W.
Elektronische Industrie — Mathematics Inside
Output Forschungsmagazin der Bergischen Universität Wuppertal (Nr. 12) :30–35
2014
Herausgeber: Bergische Universität Wuppertal