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
- 2003
1184.
Maten, E. J. W.; Fijnvandraat, J. G.; Lin, C.; Peters, J. M. F.
Periodic {AC} and Periodic Noise in {RF} Simulation for Electronic Circuit Design
In K. Antreich and R. Bulirsch and A. Gilg and P. Rentrop, Editor, Modeling, Simulation, and Optimization of Integrated Circuits Band 146 aus Int. Series of Numer. Maths.
Seite 121--134
Herausgeber: Birkhäuser Basel
2003
121--1341183.
Farkas, Bálint
Perturbations of Bi-Continuous Semigroups
Eötvös Loránd University
20031182.
[english] Bohrmann-Linde, Claudia; Tausch, Michael W.
Photogalvanic Cells for Classroom Investigations: A Contribution for Ongoing Curriculum Modernization
Journal of Chemical Education, 80 (12) :1471
2003
Herausgeber: American Chemical Society ({ACS})1181.
Farkas, Bálint; Matolcsi, Máté
Positive forms on Banach spaces
Acta Math. Hungar., 99 (1-2) :43-55
20031180.
Yurchenko, Sergey N.; Carvajal, Miguel; Jensen, Per; Herregodts, F.; Huet, T. R.
Potential parameters of PH\(_{3}\) obtained by simultaneous fitting of ab initio data and experimental vibrational band origins
Chemical Physics, 290 (1) :59-67
2003
Herausgeber: North-Holland1179.
Yurchenko, Sergey N.; Carvajal, Miguel; Jensen, Per; Herregodts, F.; Huet, T. R.
Potential parameters of PH\(_{3}\) obtained by simultaneous fitting of ab initio data and experimental vibrational band origins
Chemical Physics, 290 (1) :59-67
2003
Herausgeber: North-Holland1178.
Yurchenko, Sergey N.; Carvajal, Miguel; Jensen, Per; Herregodts, F.; Huet, T. R.
Potential parameters of PH3 obtained by simultaneous fitting of ab initio data and experimental vibrational band origins
Chemical Physics, 290 (1) :59-67
2003
Herausgeber: North-Holland1177.
Günther, Michael; Arnold, Martin
Preconditioned splitting and overlapping techniques in modular time integration
4th MATHMOD Vienna. Proceedings IMACS Symposium on Mathematical ModellingausArgesim Report 24, Seite 1382–1387
Herausgeber: TU Wien
20031176.
G\"unther, Michael; Arnold, M.
Preconditioned splitting and overlapping techniques in modular time integration
Mathmod 4 Proceedings
20031175.
Günther, Michael; Arnold, Martin
Preconditioned splitting and overlapping techniques in modular time integration
4th MATHMOD Vienna. Proceedings IMACS Symposium on Mathematical ModellingausArgesim Report 24, Seite 1382–1387
Herausgeber: TU Wien
20031174.
Jankova, Katja; Hvilsted, S{\o}ren
Preparation of Poly(2,3,4,5,6-pentafluorostyrene) and Block Copolymers with Styrene by ATRP
Macromolecules, 36 (5) :1753--1758
2003
ISSN: 0024-92971173.
Sturm, Peter J.; Baltensperger, Urs; Bacher, Michael; Lechner, Bernhard; Hausberger, Stefan; Heiden, Bernhard; Imhof, David; Weingartner, Ernest; Pr{é}v{{\^o}}t, Andre S. H.; Kurtenbach, Ralf; Wiesen, Peter
Roadside measurements of particulate matter size distribution
, Atmospheric EnvironmentBand37, Seite 5273-5281
Herausgeber: Pergamon
20031172.
Sturm, Peter J.; Baltensperger, Urs; Bacher, Michael; Lechner, Bernhard; Hausberger, Stefan; Heiden, Bernhard; Imhof, David; Weingartner, Ernest; Pr{é}v{{\^o}}t, Andre S. H.; Kurtenbach, Ralf; Wiesen, Peter
Roadside measurements of particulate matter size distribution
, Atmospheric EnvironmentBand37, Seite 5273-5281
Herausgeber: Pergamon
20031171.
Sturm, Peter J.; Baltensperger, Urs; Bacher, Michael; Lechner, Bernhard; Hausberger, Stefan; Heiden, Bernhard; Imhof, David; Weingartner, Ernest; Prévôt, Andre S. H.; Kurtenbach, Ralf; Wiesen, Peter
Roadside measurements of particulate matter size distribution
, Atmospheric EnvironmentBand37, Seite 5273-5281
Herausgeber: Pergamon
20031170.
Heilmann, Margareta
Rodriguez-type representation for the eigenfunctions of Durrmeyer-type operators
Results in Mathematics, 44 (1-2) :97-105
20031169.
Lamour, R.; März, R.; Winkler, R.
Stability of periodic solutions of index-2 differential-algebraic systems
J. Math. Anal. Appl., 279 :475--494
20031168.
Kirsch, Stefan; Bach, Thorsten
Stereoselective Synthesis of Enantiomerically Pure, Orthogonally Protected 2-Methylenecyclohexane-1,3,5-triols and 2,4,6-Trihydroxycyclohexanones
Synthesis, 2003 (12) :1827–1836
2003
ISSN: 0039-7881, 1437-210X1167.
Römisch, W.; Winkler, R.
Stochastic {DAEs} in circuit simulation
In Antreich, K. and Bulirsch, R. and Gilg, A. and Rentrop, P., Editor, Modeling, Simulation and Optimization of Integrated Circuits, Seite 303--318
In Antreich, K. and Bulirsch, R. and Gilg, A. and Rentrop, P., Editor
Herausgeber: Birkhäuser, Basel
20031166.
Winkler, R.
Stochastic Differential Algebraic Equations of Index 1 and Applications in Circuit Simulation
J. Comp. Math. Appl., 157 :477--505
20031165.
Tausch, Michael W.; Wachtendonk, M.; Porth, H.-R.; Schulze, I.; Wambach, H.
STOFF-FORMEL-UMWELT, Chemie für Schjg. 8 in Niedersachsen
Herausgeber: C. C. Buchner, Bamberg
20031164.
Setzer, Klaus-Dieter; Kalb, M.; Fink, Ewald H.
The a\(^{1}\)\(\Delta\)\(_{g}\) → X\(^{3}\)\(\Sigma\)\(_{g}\)\(^{-}\) magnetic dipole transition of S\(_{2}\)
Journal of Molecular Spectroscopy, 221 (1) :127-130
2003
Herausgeber: Academic Press1163.
Setzer, Klaus-Dieter; Kalb, M.; Fink, Ewald H.
The a\(^{1}\)\(\Delta\)\(_{g}\) → X\(^{3}\)\(\Sigma\)\(_{g}\)\(^{-}\) magnetic dipole transition of S\(_{2}\)
Journal of Molecular Spectroscopy, 221 (1) :127-130
2003
Herausgeber: Academic Press1162.
Setzer, Klaus-Dieter; Dorn, A.; Lorenz, Matthias; Fink, Ewald H.
The a\(^{1}\)\(\Delta\)\(_{g}\)(a2\(_{g}\)) → X\(^{3}\)\(\Sigma\)\(_{g}\)\(^{-}\)(X\(_{2}\)1\(_{g}\)) transition of Se\(_{2}\)
Journal of Molecular Spectroscopy, 221 (1) :13-18
2003
Herausgeber: Academic Press1161.
Setzer, Klaus-Dieter; Dorn, A.; Lorenz, Matthias; Fink, Ewald H.
The a\(^{1}\)\(\Delta\)\(_{g}\)(a2\(_{g}\)) → X\(^{3}\)\(\Sigma\)\(_{g}\)\(^{-}\)(X\(_{2}\)1\(_{g}\)) transition of Se\(_{2}\)
Journal of Molecular Spectroscopy, 221 (1) :13-18
2003
Herausgeber: Academic Press1160.
Setzer, Klaus-Dieter; Kalb, M.; Fink, Ewald H.
The a1Δg → X3Σg- magnetic dipole transition of S2
Journal of Molecular Spectroscopy, 221 (1) :127-130
2003
Herausgeber: Academic Press