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

832.

Jensen, Per; Bunker, Philip R.
Nuclear spin statistical weights revisited
Molecular Physics, 97 (6) :821-824
1999

831.

Gilg, A.; Günther, M.
Numerical Circuit Simulation
Survey on Mathematics for Industry, 8 :165–169
1999
Herausgeber: Springer Verlag

830.

Gilg, A
Numerical circuit simulation
SURVEYS ON MATHEMATICS FOR INDUSTRY, 8 :165--169
1999
Herausgeber: SPRINGER-VERLAG

829.

Maten, E. J. W.
Numerical methods for frequency domain analysis of electronic circuits
Surveys on Mathematics for Industry, 8 :171-185
1999

828.

Günther, Michael; Hoschek, M.
Partitioning strategies in circuit simulation
In Bungartz, Hans-Joachim and Durst, Franz and Zenger, Christoph, Editor, High Performance Scientific and Engineering ComputingBand8ausLecture Notes in Computational Science and Engineering, Seite 343–352
In Bungartz, Hans-Joachim and Durst, Franz and Zenger, Christoph, Editor
Herausgeber: Springer Berlin Heidelberg
1999

827.

Günther, Michael; Hoschek, Markus
Partitioning strategies in circuit simulation
In H.-J. Bungartz and F. Durst and Chr. Zenger, Editor, High Performance Scientific and Engineering Computing: Proceedings of the International FORTWIHR Conference on HPSEC, Munich, March 16-18, 1998Band8ausLecture Notes in Computational Science and Engineering, Seite 343--352
Springer Berlin Heidelberg
In H.-J. Bungartz and F. Durst and Chr. Zenger, Editor
Herausgeber: Springer Verlag
1999

826.

Günther, M.; Rentrop, P.
PDAE-Netzwerkmodelle in der elektrischen Schaltungssimulation
In John, W., Editor, Analog '99 : 5. ITG/GMM-Diskussionssitzung Entwicklung von Analogschaltungen mit CAE-Methoden mit dem Schwerpunkt Entwurfsmethodik und parasitäre Effekte, Seite 31–38
In John, W., Editor
Herausgeber: FhG IZM - Advanced System Engineering Paderborn
1999

825.

Günther, Michael; Rentrop, Peter
PDAE-Netzwerkmodelle in der elektrischen Schaltungssimulation [PDAE networkmodels in electric switching simulation]
1999

824.

Langer, U; Rienen, U van
Resume of the collection of articles on scientific computing in electrical engineering
Surveys on Mathematics for Industry, 9 (2) :151--154
1999
Herausgeber: Wien; New York: Springer-Verlag, 1991-c2005.

823.

Kevenaar, T.A.M.; Maten, E.J.W.
RF IC simulation: state-of-the-art and future trends
International Conference on Simulation of Semiconductor Processes and Devices. {SISPAD}{\textquotesingle}99 ({IEEE} Cat. No.99TH8387), Seite 7-10
Herausgeber: Japan Soc. Appl. Phys
1999

822.

Günther, M.; Hoschek, M.
ROW-type integration methods for circuit simulation packages
In Arkeryd, Leif and Berg, Jöran and Brenner, Philip and Pettersson, Rolf, Editor
Seite 448–455
Herausgeber: B.G. Teubner, Stuttgart
1999
448–455

821.

Fateev, A. A.; Fink, Ewald H.; Pravilov, A. M.
Simple method of spectrometer/detector sensitivity calibrations in the 210-1150 nm range
Measurement Science and Technology, 10 (3) :182-189
1999

820.

Fateev, A. A.; Fink, Ewald H.; Pravilov, A. M.
Simple method of spectrometer/detector sensitivity calibrations in the 210-1150 nm range
Measurement Science and Technology, 10 (3) :182-189
1999

819.

Fateev, A. A.; Fink, Ewald H.; Pravilov, A. M.
Simple method of spectrometer/detector sensitivity calibrations in the 210-1150 nm range
Measurement Science and Technology, 10 (3) :182-189
1999

818.

Feldmann, U.; Günther, M.
Some remarks on regularization of circuit equations
In Mathis, W. and Schindler, T., Editor, Proceedings of the X International Symposium on Theoretical Electrical Engineering (ISTET '99), Seite 343–348
In Mathis, W. and Schindler, T., Editor
Herausgeber: Otto-von-Guericke-University Magdeburg
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