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



2000

914.

Günther, Michael
Semidiscretization may act like a deregularization
Mathematics and Computers in Simulation, 53 (4) :293–301
2000
Herausgeber: Elsevier

913.

Günther, Michael
Semidiscretization may act like a deregularization
Mathematics and computers in simulation, 53 (4-6) :293--301
2000
Herausgeber: North-Holland

912.

Kleffmann, Jörg; Becker, Karl Heinz; Br{ö}ske, Rolf; Rothe, Dieter; Wiesen, Peter
Solubility of HBr in H\(_{2}\)SO\(_{4}\)/H\(_{2}\)O and HNO\(_{3}\)/H\(_{2}\)SO\(_{4}\)/H\(_{2}\)O Solutions
The Journal of Physical Chemistry A, 104 (37) :8489-8495
2000

911.

Kleffmann, Jörg; Becker, Karl Heinz; Br{ö}ske, Rolf; Rothe, Dieter; Wiesen, Peter
Solubility of HBr in H\(_{2}\)SO\(_{4}\)/H\(_{2}\)O and HNO\(_{3}\)/H\(_{2}\)SO\(_{4}\)/H\(_{2}\)O Solutions
The Journal of Physical Chemistry A, 104 (37) :8489-8495
2000

910.

Kleffmann, Jörg; Becker, Karl Heinz; Bröske, Rolf; Rothe, Dieter; Wiesen, Peter
Solubility of HBr in H2SO4/H2O and HNO3/H2SO4/H2O Solutions
The Journal of Physical Chemistry A, 104 (37) :8489-8495
2000

909.

Tausch, Michael W.
Stoffkreisläufe
Praxis der Naturwissenschaften - Chemie in der Schule, 49 (7) :1
2000

908.

Bludsk{{\'y}}, Ota; Nachtigall, Petr; Hrus{{\'a}}k, Jan; Jensen, Per
The calculation of the vibrational states of SO\(_{2}\) in the C\verb=~= \(^{1}\)B\(_{2}\) electronic state up to the SO(\(^{3}\)\(\Sigma\)\(^{-}\))+O(\(^{3}\)P) dissociation limit
Chemical Physics Letters, 318 (6) :607-613
2000

907.

Bludsk{{\'y}}, Ota; Nachtigall, Petr; Hrus{{\'a}}k, Jan; Jensen, Per
The calculation of the vibrational states of SO\(_{2}\) in the C\verb=~= \(^{1}\)B\(_{2}\) electronic state up to the SO(\(^{3}\)\(\Sigma\)\(^{-}\))+O(\(^{3}\)P) dissociation limit
Chemical Physics Letters, 318 (6) :607-613
2000

906.

Bludský, Ota; Nachtigall, Petr; Hrusák, Jan; Jensen, Per
The calculation of the vibrational states of SO2 in the C~ 1B2 electronic state up to the SO(3Σ-)+O(3P) dissociation limit
Chemical Physics Letters, 318 (6) :607-613
2000

905.

Denk, Georg; Günther, Michael
The influence of MOSFET model and network equations on circuit simulation
2000

904.

Klamroth, Kathrin; Wiecek, Margaret M.
Time-dependent capital budgeting with multiple criteria
In Haimes, Y.Y. and Steuer, R.E., Editor, Research and Practice in Multiple Criteria Decision MakingBand487ausLecture Notes in Economics and Mathematical Systems, Seite 421-432
In Haimes, Y.Y. and Steuer, R.E., Editor
Herausgeber: Springer-Verlag
2000

903.

East, Allan L.L.; Liu, Haisheng; Lim, Edward C.; Jensen, Per; D{é}ch{{\`e}}ne, Isabelle; Zgierski, Marek Z.; Siebrand, Willem; Bunker, Philip R.
Toluene internal-rotation: Measurement and simulation of the high-resolution S\(_{1}\)-S\(_{0}\) fluorescence excitation spectrum at 0.5 K
Journal of Chemical Physics, 112 (1) :167-175
2000

902.

East, Allan L.L.; Liu, Haisheng; Lim, Edward C.; Jensen, Per; D{é}ch{{\`e}}ne, Isabelle; Zgierski, Marek Z.; Siebrand, Willem; Bunker, Philip R.
Toluene internal-rotation: Measurement and simulation of the high-resolution S\(_{1}\)-S\(_{0}\) fluorescence excitation spectrum at 0.5 K
Journal of Chemical Physics, 112 (1) :167-175
2000

901.

East, Allan L.L.; Liu, Haisheng; Lim, Edward C.; Jensen, Per; Déchène, Isabelle; Zgierski, Marek Z.; Siebrand, Willem; Bunker, Philip R.
Toluene internal-rotation: Measurement and simulation of the high-resolution S1-S0 fluorescence excitation spectrum at 0.5 K
Journal of Chemical Physics, 112 (1) :167-175
2000

900.

Denk, Georg; Feldmann, Uwe; Günther, Michael; Rentrop, Peter
Topics in Electric Circuit Simulation
2000

899.

Tausch, Michael W.; Schmitz, R.-P.
Tropfsteinhöhlen und Kreislauf des Kohlenstoffdioxids in der Natur - eine Anwendung für Internet und CD-ROM
Praxis der Naturwissenschaften - Chemie in der Schule, 49 (7) :13
2000

898.

Schandl, Bernd; Klamroth, Kathrin; Wiecek, Margaret M.
Using block norms in bicriteria optimization
In Haimes, Y.Y. and Steuer, R.E., Editor, Research and Practice in Multiple Criteria Decision MakingBand487ausLecture Notes in Economics and Mathematical Systems, Seite 149-160
In Haimes, Y.Y. and Steuer, R.E., Editor
Herausgeber: Springer-Verlag
2000

897.

Brust, A. S.; Becker, Karl Heinz; Kleffmann, Jörg; Wiesen, Peter
UV absorption cross sections of nitrous acid
Atmospheric Environment, 34 (1) :13-19
2000
Herausgeber: Pergamon

896.

Brust, A. S.; Becker, Karl Heinz; Kleffmann, Jörg; Wiesen, Peter
UV absorption cross sections of nitrous acid
Atmospheric Environment, 34 (1) :13-19
2000
Herausgeber: Pergamon

895.

Brust, A. S.; Becker, Karl Heinz; Kleffmann, Jörg; Wiesen, Peter
UV absorption cross sections of nitrous acid
Atmospheric Environment, 34 (1) :13-19
2000
Herausgeber: Pergamon

894.

Tyuterev, Vladimir G.; Tashkun, Sergey A.; Schwenke, D. W.; Jensen, Per; Cours, T.; Barbe, Alain; Jacon, M.
Variational EKE-calculations of rovibrational energies of the ozone molecule from an empirical potential function
Chemical Physics Letters, 316 (3-4) :271-279
2000

893.

Tyuterev, Vladimir G.; Tashkun, Sergey A.; Schwenke, D. W.; Jensen, Per; Cours, T.; Barbe, Alain; Jacon, M.
Variational EKE-calculations of rovibrational energies of the ozone molecule from an empirical potential function
Chemical Physics Letters, 316 (3-4) :271-279
2000

892.

Tyuterev, Vladimir G.; Tashkun, Sergey A.; Schwenke, D. W.; Jensen, Per; Cours, T.; Barbe, Alain; Jacon, M.
Variational EKE-calculations of rovibrational energies of the ozone molecule from an empirical potential function
Chemical Physics Letters, 316 (3-4) :271-279
2000

891.

Schneider, Gisbert; Hilfiger, Laurence; Schneider, Petra; Kirsch, Stefan; Böhm, Hans-Joachim; Neidhart, Werner
Virtual Screening for Bioactive Molecules by Evolutionary De Novo Design
Angewandte Chemie, 39 (22) :4130–4133
2000
ISSN: 14337851, 15213773
1999

890.

P. Schmitz, R.; Eisel, C.; Korn, S.; Tausch, Michael W.
''Chemie interaktiv'', Multimedia CD mit Lernsoftware für Schülerinnen und Schüler
Online
1999