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

1994

517.

Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Zhu, Q.-S.
High-resolution study of the emission system of \(^{80}\)Se\(_{2}\) in the near infrared
Canadian Journal of Physics, 72 (11-12) :919-924
1994
Herausgeber: NRC Research Press Ottawa, Canada

DOI: 10.1139/p94-121

516.

Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Zhu, Q.-S.
High-resolution study of the emission system of 80Se2 in the near infrared
Canadian Journal of Physics, 72 (11-12) :919-924
1994
Herausgeber: NRC Research Press Ottawa, Canada

DOI: 10.1139/p94-121

515.

Heynderickx, I. E. J.; Potze, W.; Maten, E. J. W.Ter
Influence of a temperature gradient on the simple shear now of a nematic liquid crystal
Journal of Non-Newtonian Fluid Mechanics, 55 (2) :137--161
November 1994
Herausgeber: Elsevier {BV}

DOI: 10.1016/0377-0257(94)80002-2

514.

Günther, Michael; Rentrop, Peter
International Series of Numerical Mathematics, Vol. 117,{\copyright} 1994 Birkhäuser Verlag Basel 33
, Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices: Proceedings of a Conference Held at the Mathematisches Forschungsinstitut, Oberwolfach, July 5-11, 1992Band117, Seite 33
Springer Science \& Business Media
1994

513.

Breidohr, R.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.; Zyrnicki, W.
Near-Infrared Electronic Transitions of BiN
Journal of Molecular Spectroscopy, 166 (2) :471-485
1994
Herausgeber: Academic Press

DOI: 10.1006/JMSP.1994.1209

512.

Breidohr, R.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.; Zyrnicki, W.
Near-Infrared Electronic Transitions of BiN
Journal of Molecular Spectroscopy, 166 (2) :471-485
1994
Herausgeber: Academic Press

DOI: 10.1006/JMSP.1994.1209

511.

Breidohr, R.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.; Zyrnicki, W.
Near-Infrared Electronic Transitions of BiN
Journal of Molecular Spectroscopy, 166 (2) :471-485
1994
Herausgeber: Academic Press

DOI: 10.1006/JMSP.1994.1209

510.

Wiesen, Peter; Kleffmann, Jörg; Kurtenbach, Ralf; Becker, Karl Heinz
Nitrous oxide and methane emissions from aero engines
Geophysical Research Letters, 21 (18) :2027-2030
1994
Herausgeber: John Wiley \& Sons, Ltd

DOI: 10.1029/94GL01709

509.

Wiesen, Peter; Kleffmann, Jörg; Kurtenbach, Ralf; Becker, Karl Heinz
Nitrous oxide and methane emissions from aero engines
Geophysical Research Letters, 21 (18) :2027-2030
1994
Herausgeber: John Wiley \& Sons, Ltd

DOI: 10.1029/94GL01709

508.

Wiesen, Peter; Kleffmann, Jörg; Kurtenbach, Ralf; Becker, Karl Heinz
Nitrous oxide and methane emissions from aero engines
Geophysical Research Letters, 21 (18) :2027-2030
1994
Herausgeber: John Wiley & Sons, Ltd

DOI: 10.1029/94GL01709

507.

Oizmann, M.; Benter, Thorsten; Liesner, M.; Schindler, Ralph N.
On the pressure dependence of the NO\(_{2}\) product yield in the reaction of NO\(_{3}\) radicals with selected alkenes
Atmospheric Environment, 28 (16) :2677-2683
1994

DOI: 10.1016/1352-2310(94)90440-5

506.

Oizmann, M.; Benter, Thorsten; Liesner, M.; Schindler, Ralph N.
On the pressure dependence of the NO\(_{2}\) product yield in the reaction of NO\(_{3}\) radicals with selected alkenes
Atmospheric Environment, 28 (16) :2677-2683
1994

DOI: 10.1016/1352-2310(94)90440-5

505.

Oizmann, M.; Benter, Thorsten; Liesner, M.; Schindler, Ralph N.
On the pressure dependence of the NO2 product yield in the reaction of NO3 radicals with selected alkenes
Atmospheric Environment, 28 (16) :2677-2683
1994

DOI: 10.1016/1352-2310(94)90440-5

504.

[german] Tausch, Michael W.
Ozon - Unterrichtsmaterialien für die S II
Praxis der Naturwissenschaften (Chemie), 43 (4) :27
1994

503.

Gerstberger, Robert; Günther, Michael
Parallelization of a charge-oriented extrapolation method on the SNI-KSR1
Overview of Research on the Parallel Computer SNI-KSR at the Leibniz-Rechenzentrum Miinchen, 9401 :57--61
1994
Herausgeber: M\"unchen, LRZ

502.

Günther, Michael; Rentrop, Peter
Partitioning and multirate strategies in latent electric circuits
In Bank, R. E. and Gajewski, H. and Bulirsch, R. and Merten, K., Editor, Mathematical modelling and simulation of electrical circuits and semiconductor devicesausISNM International Series of Numerical Mathematics, Seite 33–60
In Bank, R. E. and Gajewski, H. and Bulirsch, R. and Merten, K., Editor
Herausgeber: Birkhäuser Basel
1994

DOI: 10.1007/978-3-0348-8528-7_3

501.

[german] Tausch, Michael W.
Photo-Blue-Bottle Modellversuche zur Photosynthese und zur Atmung
Praxis der Naturwissenschaften (Chemie), 43 (3) :13
1994

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500.

Klamroth, Kathrin
Ramsey-Zahlen für Mengen von Graphen
Technical University of Braunschweig
1994

499.

Benter, Thorsten; Liesner, M.; Schindler, Ralph N.; Skov, H.; Hjorth, J.; Restelli, G.
REMPI-MS and FTIR Study of NO\(_{2}\) and Oxirane Formation in the Reactions of Unsaturated Hydrocarbons with NO\(_{3}\) Radicals
The Journal of Physical Chemistry, 98 (41) :10492-10496
1994

DOI: 10.1021/j100092a018

498.

Benter, Thorsten; Liesner, M.; Schindler, Ralph N.; Skov, H.; Hjorth, J.; Restelli, G.
REMPI-MS and FTIR Study of NO\(_{2}\) and Oxirane Formation in the Reactions of Unsaturated Hydrocarbons with NO\(_{3}\) Radicals
The Journal of Physical Chemistry, 98 (41) :10492-10496
1994

DOI: 10.1021/j100092a018

497.

Benter, Thorsten; Liesner, M.; Schindler, Ralph N.; Skov, H.; Hjorth, J.; Restelli, G.
REMPI-MS and FTIR Study of NO2 and Oxirane Formation in the Reactions of Unsaturated Hydrocarbons with NO3 Radicals
The Journal of Physical Chemistry, 98 (41) :10492-10496
1994

DOI: 10.1021/j100092a018

496.

KIELAU, G; Maißer, P
SIMULATION OF BOBSLED RUNS-PAPER PRESENTED AT THE GAMM ANNUAL-MEETING IN DRESDEN, APRIL 12-16, 1993
1994

495.

Kielau, Gerald; Maißer, P
Simulation von Fahren gesteuerter Bobschlitten
Zeitschrift für angewandte Mathematik und Mechanik, 74 (9) :434--435
1994

494.

Günther, Michael; Rentrop, Peter
Suitable one-step methods for quasilinear-implicit ode's
Herausgeber: Mathematisches Institut und Institut für Informatik der Technischen~…
1994

493.

Auwera, J. Vander; Holland, J. K.; Jensen, Per; Johns, John W. C.
The \(\nu\)\(_{6}\) band system of C\(_{3}\)O\(_{2}\) near 540 cm\(^{-1}\)
Journal of Molecular Spectroscopy, 163 (2) :529-540
1994
Herausgeber: Academic Press

DOI: 10.1006/jmsp.1994.1045