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



2004

1292.

Bartel, Andreas
Partial Differential Algebraic Models in Chip Design-Thermal and Semiconductor Problems
Herausgeber: VDI-Verlag
2004

1291.

Bartel, A.:
Partial Differential-Algebraic Models in Chip-Design — Thermal and Semiconductor Problems
TU Munich, Fortschritt-Berichte, VDI Verlag, Düsseldorf
2004

1290.

Farkas, Bálint
Perturbations of bi-continuous semigroups with applications to transition semigroups on C\sb b(H)
Semigroup Forum, 68 (1) :87-107
2004

1289.

Melnikov, Vladlen V.; Jensen, Per
Potential energy surface and spectroscopic parameters of X\verb=~=\(^{3}\)\(\Sigma\)\(^{-}\) CNN
Chemical Physics Letters, 394 (1-3) :171-175
2004

1288.

Melnikov, Vladlen V.; Jensen, Per
Potential energy surface and spectroscopic parameters of X\verb=~=\(^{3}\)\(\Sigma\)\(^{-}\) CNN
Chemical Physics Letters, 394 (1-3) :171-175
2004

1287.

Melnikov, Vladlen V.; Jensen, Per
Potential energy surface and spectroscopic parameters of X~3Σ- CNN
Chemical Physics Letters, 394 (1-3) :171-175
2004

1286.

G\"unther, Michael
Preconditioned splitting in dynamic iteration schemes for coupled {DAE} systems in {RC} network design
In A. Buikis and et al., Editor, Progress in Industrial Mathematics at ECMI 2002
Seite 173--177
Herausgeber: Springer-Verlag, Berlin
2004
173--177

1285.

Günther, Michael
Preconditioned splitting in dynamic iteration schemes for coupled DAE systems in RC network design
In Buikis, Andris and Čiegis, Raimondas and Fitt, Alistair D., Editor, Progress in Industrial Mathematics at ECMI 2002ausThe European Consortium for Mathematics in Industry, Seite 173–177
In Buikis, Andris and Čiegis, Raimondas and Fitt, Alistair D., Editor
Herausgeber: Springer Berlin Heidelberg
2004

1284.

Günther, Michael
Preconditioned splitting in dynamic iteration schemes for coupled DAE systems in RC network design
In Buikis, Andris and Čiegis, Raimondas and Fitt, Alistair D., Editor, Progress in Industrial Mathematics at ECMI 2002ausThe European Consortium for Mathematics in Industry, Seite 173–177
In Buikis, Andris and Čiegis, Raimondas and Fitt, Alistair D., Editor
Herausgeber: Springer Berlin Heidelberg
2004

1283.

Günther, Michael
Preconditioned splitting in dynamic iteration schemes for coupled dae systems in rc network design
Progress in Industrial Mathematics at ECMI 2002, Seite 173--177
Springer Berlin Heidelberg
2004

1282.

Kirsch, Stefan; Harms, Klaus; Bach, Thorsten
Regioselective Isomerisation of Highly Substituted 1-Methylenecyclohexenepoxides to the Corresponding Allylic Alcohols. Influence of the Base and of the Protecting Groups
Monatshefte für Chemie / Chemical Monthly, 135 (6) :713–727
2004
ISSN: 1434-4475

1281.

Borkowska-Burnecka, J.; Zyrnicki, W.; Setzer, Klaus-Dieter; Fink, Ewald H.
Rotational and vibrational temperatures measured in a chemiluminescent flame from FTIR Bi\(_{2}\) emission spectra
Journal of Quantitative Spectroscopy and Radiative Transfer, 86 (1) :87-95
2004
Herausgeber: Pergamon

1280.

Borkowska-Burnecka, J.; Zyrnicki, W.; Setzer, Klaus-Dieter; Fink, Ewald H.
Rotational and vibrational temperatures measured in a chemiluminescent flame from FTIR Bi\(_{2}\) emission spectra
Journal of Quantitative Spectroscopy and Radiative Transfer, 86 (1) :87-95
2004
Herausgeber: Pergamon

1279.

Borkowska-Burnecka, J.; Zyrnicki, W.; Setzer, Klaus-Dieter; Fink, Ewald H.
Rotational and vibrational temperatures measured in a chemiluminescent flame from FTIR Bi2 emission spectra
Journal of Quantitative Spectroscopy and Radiative Transfer, 86 (1) :87-95
2004
Herausgeber: Pergamon

1278.


Scientific Computing in Electrical Engineering -- Proceedings of the SCEE-2002 conference held in Eindhoven
In Schilders, W. H. A. and ter Maten, E. J. W. and Houben, S. H. M. J., Editor, Band 4 aus Mathematics in Industry
Herausgeber: Springer Berlin Heidelberg
2004

ISBN: 3540213724

1277.

Appel, Matthew F.; McKeachie, J. Ryan; Veer, Wytze E.; Benter, Thorsten
Simple induction probe electric field meter for the detection of electrical fields generated by ion-optical electrodes
Review of Scientific Instruments, 75 (8) :2603-2607
2004

1276.

Appel, Matthew F.; McKeachie, J. Ryan; Veer, Wytze E.; Benter, Thorsten
Simple induction probe electric field meter for the detection of electrical fields generated by ion-optical electrodes
Review of Scientific Instruments, 75 (8) :2603-2607
2004

1275.

Appel, Matthew F.; McKeachie, J. Ryan; van der Veer, Wytze E.; Benter, Thorsten
Simple induction probe electric field meter for the detection of electrical fields generated by ion-optical electrodes
Review of Scientific Instruments, 75 (8) :2603-2607
2004

1274.

Ehrhardt, M.; Mickens, R. E.
Solutions to the Discrete {Airy} Equation: Application to Parabolic Equation Calculations
JCAM, 172 (1) :183--206
2004

1273.

Ehrhardt, Matthias
Solutions to the discrete Airy equation: Application to parabolic equation calculations
Journal of Computational and Applied Mathematics, 172 (1) :183–206
2004
Herausgeber: North-Holland

1272.

Ehrhardt, Matthias
Solutions to the discrete Airy equation: Application to parabolic equation calculations
Journal of computational and applied mathematics, 172 (1) :183--206
2004
Herausgeber: Elsevier

1271.

Winkin, Joseph J.; Callier, Frank M.; Jacob, Birgit; Partington, Jonathan R.
Spectral factorization by symmetric extraction for distributed parameter systems
SIAM J. Control Optim., 43 (4) :1435--1466
2004

1270.

Winkler, R.
Stochastic {DAEs} in Transient Noise Simulation
In Schilders, W. and ter Maten, J. and Houben, S., Editor, Scientific Computing in Electrical Engineering at SCEE 2002, Seite 408--415
In Schilders, W. and ter Maten, J. and Houben, S., Editor
Herausgeber: Springer
2004

1269.

Kahl, Christian; Günther, Michael; Roßberg, Thilo
Structure preserving stochastic integration schemes in interest rate derivative modeling
Applied Numerical Mathematics, 58 (3) :284--295
2004
Herausgeber: North-Holland

1268.

Rommes, J.; Bomhof, C. W.; Vorst, H. A.; Maten, E. J. W.
The Application of Preconditioned {Jacobi-Davidson} Methods in Pole-zero Analysis
In W. H. A. Schilders and E. J. W. ter Maten and S. H. M. J. Houben, Editor, Scientific Computing in Electrical Engineering at SCEE 2002, Eindhoven Band 4 aus Mathematics in Industry
Seite 349--355
Herausgeber: Springer Berlin Heidelberg
2004
349--355