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

2001

1012.

Schandl, Bernd; Klamroth, Kathrin; Wiecek, Margaret M.
Norm-based approximation in convex multicriteria programming
In Fleischmann, B. and Lasch, R. and Derigs, U. and Domschke, W. and Rieder, U., Editor, Operations Research Proceedings 2000, Seite 8-13
In Fleischmann, B. and Lasch, R. and Derigs, U. and Domschke, W. and Rieder, U., Editor
Herausgeber: Springer-Verlag
2001

DOI: 10.1007/978-3-642-56656-1_2

1011.

Houben, S. H. M. J.; Maten, E. J. W.; Maubach, J. M.; Peters, J. M. F.
Novel time-domain methods for free-running oscillators
ECCTD'01 - Proceedings of the 15TH European Conference on Circuit Theory and Design, Seite III-393 - III-396
Helsinki University of Technology
2001

1010.

Denk, Georg; Günther, Michael; Simeon, Bernd
Numerische Simulation in Chip-Design und Fahrzeugtechnik
2001

1009.

Jacob, Birgit; Partington, Jonathan R.
On the boundedness and continuity of the spectral factorization mapping
SIAM J. Control Optim., 40 (1) :88--106
2001

DOI: 10.1137/S036301299935184X

1008.

Günther, Michael
Partielle differential-algebraische Systeme in der numerischen Zeitbereichsanalyse elektrischer Schaltungen
VDI-Verlag
2001

1007.

Günther, Michael; Hoschek, Markus
Partitionierung Strategies in Circuit Simulation
2001

1006.

Günther, Michael; Rentrop, Peter
PDAE-Netzwerkmodelle in der elektrischen Schaltungssimulation
:31-38
2001
Herausgeber: Frankfurt

1005.

Klamroth, Kathrin
Planar location problems with line barriers
Optimization, 49 :517-527
2001

DOI: 10.1080/02331930108844547

1004.

Arnold, Martin; Günther, Michael
Preconditioned dynamic iteration for coupled differential-algebraic systems
BIT Numerical Mathematics, 1 (41) :1–25
2001
Herausgeber: Springer Netherlands

DOI: 10.1023/A:1021909032551

1003.

Arnold, Martin; Günther, Michael
Preconditioned dynamic iteration for coupled differential-algebraic systems
BIT Numerical Mathematics, 41 (41) :1--25
2001
Herausgeber: Kluwer Academic Publishers

1002.

Bunker, Philip R.; Chan, M. C.; Kraemer, Wolfgang P.; Jensen, Per
Predicted rovibronic spectra of CH\(_{2}\)\(^{+}\) and CD\(_{2}\)\(^{+}\)
Chemical Physics Letters, 341 (3-4) :358-362
2001

DOI: 10.1016/S0009-2614(01)00498-5

1001.

Bunker, Philip R.; Chan, M. C.; Kraemer, Wolfgang P.; Jensen, Per
Predicted rovibronic spectra of CH\(_{2}\)\(^{+}\) and CD\(_{2}\)\(^{+}\)
Chemical Physics Letters, 341 (3-4) :358-362
2001

DOI: 10.1016/S0009-2614(01)00498-5

1000.

Bunker, Philip R.; Chan, M. C.; Kraemer, Wolfgang P.; Jensen, Per
Predicted rovibronic spectra of CH2+ and CD2+
Chemical Physics Letters, 341 (3-4) :358-362
2001

DOI: 10.1016/S0009-2614(01)00498-5

999.

Jensen, Per; Buenker, Robert J.; Gu, Jian-ping; Osmann, Gerald; Bunker, Philip R.
Refined potential-energy surfaces for the X\verb=~=\(^{2}\)A'' and A\verb=~=\(^{2}\)A' electronic states of the HO\(_{2}\) molecule
Canadian Journal of Physics, 79 (2-3) :641-652
2001
Herausgeber: NRC Research Press Ottawa, Canada

DOI: 10.1139/p01-018

998.

Jensen, Per; Buenker, Robert J.; Gu, Jian-ping; Osmann, Gerald; Bunker, Philip R.
Refined potential-energy surfaces for the X\verb=~=\(^{2}\)A'' and A\verb=~=\(^{2}\)A' electronic states of the HO\(_{2}\) molecule
Canadian Journal of Physics, 79 (2-3) :641-652
2001
Herausgeber: NRC Research Press Ottawa, Canada

DOI: 10.1139/p01-018

997.

Jensen, Per; Buenker, Robert J.; Gu, Jian-ping; Osmann, Gerald; Bunker, Philip R.
Refined potential-energy surfaces for the X~2A" and A~2A' electronic states of the HO2 molecule
Canadian Journal of Physics, 79 (2-3) :641-652
2001
Herausgeber: NRC Research Press Ottawa, Canada

DOI: 10.1139/p01-018

996.

Lampe, S.; Brachtendorf, H. G.; Maten, E. J. W.; Onneweer, S. P.; Laur, R.
Robust Limit Cycle Calculations of Oscillators
Lecture Notes in Computational Science and Engineering
Seite 233--240
Herausgeber: Springer Berlin Heidelberg
2001
233--240

DOI: 10.1007/978-3-642-56470-3_23

995.

Günther, M.; Hoschek, M.; Weiner, R.
ROW methods adapted to a cheap Jacobian
Applied Numerical Mathematics, 37 (1) :231–240
2001
Herausgeber: Elsevier

DOI: 10.1016/S0168-9274(00)00040-4

994.

Günther, Michael; Hoschek, Markus; Weiner, R
ROW methods adapted to a cheap Jacobian
Applied numerical mathematics, 37 (1-2) :231--240
2001
Herausgeber: North-Holland

993.

G\"unther, Michael; Hoschek, M.; Weiner, R.
ROW methods adapted to a cheap Jacobian}
APNUM, 37 :231-240
2001

992.

Günther, Michael; Hoschek, Markus
ROW-type Integration Methods for Circuit Simulation Packages
:448-455
2001
Herausgeber: B.G. Teubner, Stuttgart

991.

Hecht, Dirk; Günther, Michael; Rienen, Ursula
Scientific Computing in Electrical Engineering: Proceedings
Herausgeber: Springer
2001

990.


Scientific Computing in Electrical Engineering: Proceedings of the 3rd International Workshop, 20-23 August 2000, Warnemünde, Germany
In Rienen, Ursula and Günther, Michael and Hecht, Dirk, Editor aus Lecture Notes in Computational Science and Engineering
Herausgeber: Springer Berlin Heidelberg
2001

DOI: 10.1007/978-3-642-56470-3

ISBN: 978-3-540-42173-3

989.

Van Rienen, Ursula; Günther, Michael; Hecht, Dirk
Scientific Computing in Electrical Engineering: Proceedings of the 3rd International Workshop, August 20--23, 2000, Warnemünde, Germany
2001

988.

Rienen, Ursula van; Günther, Michael; Hecht, Dirk
Scientific computing in electrical engineering: proceedings of the 3rd International Workshop, August 20-23, 2000, Warnemünde, Germany
(No Title)
2001