Applied and Computational Mathematics (ACM)

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

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

Cooperation

Former and ongoing projects

Publications



1999

817.

Feldmann, Uwe; Günther, Michael
Some remarks on regularization of circuit equations
In W. Mathis, Editor aus Conference Proceedings
Herausgeber: Universität Karlsruhe, Institut für Wissenschaftliches Rechnen und~…
1999

816.

Bunker, Philip R.; Jensen, Per
Spherical top molecules and the molecular symmetry group
Molecular Physics, 97 (1-2) :255-264
1999

815.

Bunker, Philip R.; Jensen, Per
Spherical top molecules and the molecular symmetry group
Molecular Physics, 97 (1-2) :255-264
1999

814.

Bunker, Philip R.; Jensen, Per
Spherical top molecules and the molecular symmetry group
Molecular Physics, 97 (1-2) :255-264
1999

813.

Foster, Krishna L.; Caldwell, Tracy E.; Benter, Thorsten; Langer, Sarka; Hemminger, John C.; Finlayson-Pitts, Barbara J.
Techniques for quantifying gaseous HOCl using atmospheric pressure ionization mass spectrometry
Physical Chemistry Chemical Physics, 1 (24) :5615-5621
1999

812.

Foster, Krishna L.; Caldwell, Tracy E.; Benter, Thorsten; Langer, Sarka; Hemminger, John C.; Finlayson-Pitts, Barbara J.
Techniques for quantifying gaseous HOCl using atmospheric pressure ionization mass spectrometry
Physical Chemistry Chemical Physics, 1 (24) :5615-5621
1999

811.

Foster, Krishna L.; Caldwell, Tracy E.; Benter, Thorsten; Langer, Sarka; Hemminger, John C.; Finlayson-Pitts, Barbara J.
Techniques for quantifying gaseous HOCl using atmospheric pressure ionization mass spectrometry
Physical Chemistry Chemical Physics, 1 (24) :5615-5621
1999

810.

Beutel, M.; Setzer, Klaus-Dieter; Fink, Ewald H.
The b\(^{1}\)\(\Sigma\)\(^{+}\)(b0\(^{+}\)) → X\(^{3}\)\(\Sigma\)\(^{-}\)(X\(_{1}\)0\(^{+}\), X\(_{2}\)1) and a\(^{1}\)\(\Delta\)(a2) → X\(_{2}\)1 Transitions of AsI
Journal of Molecular Spectroscopy, 194 (2) :250-255
1999
Herausgeber: Academic Press

809.

Beutel, M.; Setzer, Klaus-Dieter; Fink, Ewald H.
The b\(^{1}\)\(\Sigma\)\(^{+}\)(b0\(^{+}\)) → X\(^{3}\)\(\Sigma\)\(^{-}\)(X\(_{1}\)0\(^{+}\), X\(_{2}\)1) and a\(^{1}\)\(\Delta\)(a2) → X\(_{2}\)1 Transitions of AsI
Journal of Molecular Spectroscopy, 194 (2) :250-255
1999
Herausgeber: Academic Press

808.

Beutel, M.; Setzer, Klaus-Dieter; Fink, Ewald H.
The b\(^{1}\)\(\Sigma\)\(^{+}\)(b0\(^{+}\)) → X\(^{3}\)\(\Sigma\)\(^{-}\)(X\(_{1}\)0\(^{+}\), X\(_{2}\)1) and a\(^{1}\)\(\Delta\)(a2) → X\(_{2}\)1 transitions of SbF, SbCl, SbBr, and SbI
Journal of Molecular Spectroscopy, 195 (1) :147-153
1999
Herausgeber: Academic Press

807.

Beutel, M.; Setzer, Klaus-Dieter; Fink, Ewald H.
The b\(^{1}\)\(\Sigma\)\(^{+}\)(b0\(^{+}\)) → X\(^{3}\)\(\Sigma\)\(^{-}\)(X\(_{1}\)0\(^{+}\), X\(_{2}\)1) and a\(^{1}\)\(\Delta\)(a2) → X\(_{2}\)1 transitions of SbF, SbCl, SbBr, and SbI
Journal of Molecular Spectroscopy, 195 (1) :147-153
1999
Herausgeber: Academic Press

806.

Beutel, M.; Setzer, Klaus-Dieter; Fink, Ewald H.
The b1Σ+(b0+) → X3Σ-(X10+, X21) and a1Δ(a2) → X21 Transitions of AsI
Journal of Molecular Spectroscopy, 194 (2) :250-255
1999
Herausgeber: Academic Press

805.

Beutel, M.; Setzer, Klaus-Dieter; Fink, Ewald H.
The b1Σ+(b0+) → X3Σ-(X10+, X21) and a1Δ(a2) → X21 transitions of SbF, SbCl, SbBr, and SbI
Journal of Molecular Spectroscopy, 195 (1) :147-153
1999
Herausgeber: Academic Press

804.

Bunker, Philip R.; Bludsk{{\'y}}, Ota; Jensen, Per; Wesolowski, Steven S.; Van Huis, T. J.; Yamaguchi, Yukio; Schaefer, Henry F.
The H\(_{2}\)O\(^{++}\) Ground State Potential Energy Surface
Journal of Molecular Spectroscopy, 198 (2) :371-375
1999

803.

Bunker, Philip R.; Bludsk{{\'y}}, Ota; Jensen, Per; Wesolowski, Steven S.; Van Huis, T. J.; Yamaguchi, Yukio; Schaefer, Henry F.
The H\(_{2}\)O\(^{++}\) Ground State Potential Energy Surface
Journal of Molecular Spectroscopy, 198 (2) :371-375
1999

802.

Bunker, Philip R.; Bludský, Ota; Jensen, Per; Wesolowski, Steven S.; Van Huis, T. J.; Yamaguchi, Yukio; Schaefer, Henry F.
The H2O++ Ground State Potential Energy Surface
Journal of Molecular Spectroscopy, 198 (2) :371-375
1999

801.

Becker, Karl Heinz; Freitas Dinis, Carlos M.; Geiger, Harald; Wiesen, Peter
The reactions of OH radicals with di-i-propoxymethane and di-sec-butoxymethane: Kinetic measurements and structure activity relationships
Physical Chemistry Chemical Physics, 1 (20) :4721-4726
1999

800.

Becker, Karl Heinz; Freitas Dinis, Carlos M.; Geiger, Harald; Wiesen, Peter
The reactions of OH radicals with di-i-propoxymethane and di-sec-butoxymethane: Kinetic measurements and structure activity relationships
Physical Chemistry Chemical Physics, 1 (20) :4721-4726
1999

799.

Becker, Karl Heinz; Freitas Dinis, Carlos M.; Geiger, Harald; Wiesen, Peter
The reactions of OH radicals with di-i-propoxymethane and di-sec-butoxymethane: Kinetic measurements and structure activity relationships
Physical Chemistry Chemical Physics, 1 (20) :4721-4726
1999

798.

Gänsheimer, S; Schilling, A
Verbesserte prätherapeutische Abschätzung des pathologischen Tumorstadiums des Prostatakarzinoms anhand eines neuen Punktsystems
Aktuelle Urologie, 30 (01) :20--27
1999
Herausgeber: Georg Thieme Verlag Stuttgart{\textperiodcentered} New York

797.

[german] Tausch, Michael W.; Schmidt, Andrea
β-Carotin - ein Multitalent
CHEMKON, 6 (3) :135--141
1999
Herausgeber: Wiley
1998

796.

Tausch, Michael W.; Lowin, P.; Übel, M.
''Materialien-Manager Chemie'' Multimedia CD-ROM zur Erstellung von Arbeitsmaterialien für den Chemieunterricht
Herausgeber: C. C. Buchner, Bamberg
1998

795.

Tausch, Michael W.; Wachtendonk, M.; Porth, H.-R.; Schulze, I.; Wambach, H.
''STOFF-FORMEL-UMWELT'', CHEMIE S I, 7. Schjg. in NRW
Herausgeber: C. C. Buchner, Bamberg
1998

794.

Jacob, Birgit
A formula for the stability radius of time-varying systems
J. Differential Equations, 142 (1) :167--187
1998

793.

Feldmann, Uwe
CAD-based electric-circuit modeling in industry II: Impact of circuit configurations and parameters
Surveys on Mathematics for Industry, 8 (2) :131--158
1998
Herausgeber: Wien; New York: Springer-Verlag, 1991-c2005.