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

2002

1103.

Fink, Ewald H.; Ramsay, D. A.
High-resolution study of the A\verb=~=\(^{2}\)A' → X\verb=~=\(^{2}\)A'' transition of DO\(_{2}\): Analysis of the 000-000 band
Journal of Molecular Spectroscopy, 216 (2) :322-334
2002
Herausgeber: Academic Press

DOI: 10.1006/jmsp.2002.8621

1102.

Fink, Ewald H.; Ramsay, D. A.
High-resolution study of the A~2A' → X~2A" transition of DO2: Analysis of the 000-000 band
Journal of Molecular Spectroscopy, 216 (2) :322-334
2002
Herausgeber: Academic Press

DOI: 10.1006/jmsp.2002.8621

1101.

Tausch, Michael W.; Wachtendonk, M.
Induktiv zu den Molekülen - ein Unterrichtsbaustein zur Einführung des Molekülbegriffs
Praxis der Naturwissenschaften - Chemie in der Schule, 51 (6) :8
2002

1100.

Schandl, Bernd; Klamroth, Kathrin; Wiecek, Margaret M.
Introducing oblique norms into multiple criteria programming
Journal of Global Optimization, 23 :81-97
2002

DOI: 10.1023/A:1014021806919

1099.

Bohrmann-Linde, Claudia
Labothek Duisburg
Praxis der Naturwissenschaften - Chemie in der Schule, 51 (8)
2002

1098.

Tausch, Michael W.; Wachtendonk, M.; Buric, R.; Krollmann, P.; Schmitz, W.; Schulze, I.; Wambach, H.
Lehrerband zu CHEMIE 2000+, Lehrbuch für die gymnasiale Oberstufe, Band 1
Herausgeber: C. C. Buchner, Bamberg
2002

1097.

Bartel, Andreas; Günther, Michael; Kværnø, Anne
Multirate methods in electrical circuit simulation
In Anile, Angelo Marcello and Capasso, Vincenzo and Greco, Antonio, Editor, Progress in Industrial Mathematics at ECMI 2000ausMathematics in Industry, Seite 258–265
In Anile, Angelo Marcello and Capasso, Vincenzo and Greco, Antonio, Editor
Herausgeber: Springer Berlin Heidelberg
2002

DOI: 10.1007/978-3-662-04784-2_35

1096.

Bartel, Andreas; Günther, Michael; Kværnø, Anne
Multirate methods in electrical circuit simulation
In A.M. Anile and V. Capasso and A. Greco, Editor, Progress in Industrial Mathematics at ECMI 2000ausMathematics in Industry 1, Seite 258--265
Springer Berlin Heidelberg
In A.M. Anile and V. Capasso and A. Greco, Editor
Herausgeber: Springer-Verlag, Berlin
2002

1095.

Klar, A; Materne, T; Wegener, R
Multivalued fundamental diagrams and stop and go waves for continuum traffic equations
2002

1094.

Schandl, Bernd; Klamroth, Kathrin; Wiecek, Margaret M.
Norm-Based Approximation in Multicriteria Programming
Computers and Mathematics with Applications, 44 :925-942
2002

DOI: 10.1016/S0898-1221(02)00204-3

1093.

Bartel, Andreas; Günther, Michael; Pulch, Roland; Rentrop, Peter
Numerical techniques for different time scales in electric circuit simulation
In Breuer, Michael and Durst, Franz and Zenger, Christoph, Editor, High Performance Scientific and Engineering ComputingBand21ausLecture Notes in Computational Science and Engineering, Seite 343–360
In Breuer, Michael and Durst, Franz and Zenger, Christoph, Editor
Herausgeber: Springer Berlin Heidelberg
2002

DOI: 10.1007/978-3-642-55919-8_38

1092.

Bartel, A; Pulch, R; Rentrop, P
Numerical techniques for different time scales in electric circuit simulation
In M. Breuer and F. Durst and Chr. Zenger, Editor, High Performance Scientific And Engineering Computing: Proceedings of the 3rd International FORTWIHR Conference on HPSEC, Erlangen, March 12--14, 2001Band21ausLecture Notes in Computational Science and Engineering, Seite 343--360
Springer Berlin Heidelberg
In M. Breuer and F. Durst and Chr. Zenger, Editor
2002

1091.

Tausch, Michael W.; Knauf, U.
Online-Materialien zum Thema Ozon, Hypermedia-Netzwerk mit Experimenten, Arbeitsblättern, Folien, Videos, Links etc.
Online ( www.lehrer-online.de )
2002

1090.

Tausch, Michael W.
PISA - für Insider nicht viel Neues
Praxis der Naturwissenschaften - Chemie in der Schule, 51 (6) :11
2002

1089.

Jacob, Birgit; Zwart, Hans
Properties of the realization of inner functions
Math. Control Signals Systems, 15 (4) :356--379
2002

DOI: 10.1007/s004980200015

1088.


Scientific Papers-Sound Propagation Modeling-Efficient Numerical Implementation of Discrete Transparent Boundary Conditions for Parabolic Equations in Underwater Acoustics
Acustica-Stuttgart, 88 (5) :711--713
2002
Herausgeber: Stuttgart [Germany]: S. Hirzel, 1951-1995.

1087.

Tausch, Michael W.
Silicone - 1001-mal
Praxis der Naturwissenschaften - Chemie in der Schule, 51 (7) :1
2002

1086.

Tausch, Michael W.; Seesing, M.
Silicone im Chemieunterricht - Einbindung in das Thema Reaktionsmechanismen
Praxis der Naturwissenschaften - Chemie in der Schule, 51 (7) :15
2002

1085.

Klamroth, Kathrin
Single-Facility Location Problems with Barriers
Herausgeber: Springer Series in Operations Research
2002

DOI: 10.1007/b98843

1084.

Geiger, Harald; Kleffmann, Jörg; Wiesen, Peter
Smog chamber studies on the influence of diesel exhaust on photosmog formation
Atmospheric Environment, 36 (11) :1737-1747
2002
Herausgeber: Pergamon

DOI: 10.1016/S1352-2310(02)00175-9

1083.

Geiger, Harald; Kleffmann, Jörg; Wiesen, Peter
Smog chamber studies on the influence of diesel exhaust on photosmog formation
Atmospheric Environment, 36 (11) :1737-1747
2002
Herausgeber: Pergamon

DOI: 10.1016/S1352-2310(02)00175-9

1082.

Geiger, Harald; Kleffmann, Jörg; Wiesen, Peter
Smog chamber studies on the influence of diesel exhaust on photosmog formation
Atmospheric Environment, 36 (11) :1737-1747
2002
Herausgeber: Pergamon

DOI: 10.1016/S1352-2310(02)00175-9

1081.

Bunker, Philip R.; Kraemer, Wolfgang P.; Jensen, Per; Lee, Yu Chang; Lee, Yuan Pern
The matrix isolation spectrum of the CH\(_{2}\)\(^{+}\) ion
Journal of Molecular Spectroscopy, 216 (2) :419-423
2002

DOI: 10.1006/jmsp.2002.8636

1080.

Bunker, Philip R.; Kraemer, Wolfgang P.; Jensen, Per; Lee, Yu Chang; Lee, Yuan Pern
The matrix isolation spectrum of the CH\(_{2}\)\(^{+}\) ion
Journal of Molecular Spectroscopy, 216 (2) :419-423
2002

DOI: 10.1006/jmsp.2002.8636

1079.

Bunker, Philip R.; Kraemer, Wolfgang P.; Jensen, Per; Lee, Yu Chang; Lee, Yuan Pern
The matrix isolation spectrum of the CH2+ ion
Journal of Molecular Spectroscopy, 216 (2) :419-423
2002

DOI: 10.1006/jmsp.2002.8636