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



1998

752.

Jacob, Birgit; Larsen, Mikael; Zwart, Hans
Corrections and extensions of: ``Optimal control of linear systems with almost periodic inputs" [SIAM J. Control Optim. \bf 25 (1987), no. 4, 1007--1019; MR0893995 (88i:93042)] by G. Da Prato and A. Ichikawa
SIAM J. Control Optim., 36 (4) :1473--1480
1998

751.

Günther, M; Feldmann, Uwe
CAD-based electric-circuit modeling in industry II: Impact of circuit configurations and parameters
Surveys on Mathematics for Industry, 8 (2) :131--158
1998
Herausgeber: Wien; New York: Springer-Verlag, 1991-c2005.

750.

Jacob, Birgit
A formula for the stability radius of time-varying systems
J. Differential Equations, 142 (1) :167--187
1998

749.

Tausch, Michael W.; Wachtendonk, M.; Porth, H.-R.; Schulze, I.; Wambach, H.
''STOFF-FORMEL-UMWELT'', CHEMIE S I, 7. Schjg. in NRW
Herausgeber: C. C. Buchner, Bamberg
1998

748.

Tausch, Michael W.; Lowin, P.; Übel, M.
''Materialien-Manager Chemie'' Multimedia CD-ROM zur Erstellung von Arbeitsmaterialien für den Chemieunterricht
Herausgeber: C. C. Buchner, Bamberg
1998

747.

Kleffmann, J{ö}rg; Becker, Karl Heinz; Wiesen, Peter
Heterogeneous NO\(_{2}\) conversion processes on acid surfaces
Atmospheric Environment, 32 (16) :2721-2729
1998

746.

Kleffmann, Jörg; Becker, Karl Heinz; Wiesen, Peter
Heterogeneous NO2 conversion processes on acid surfaces
Atmospheric Environment, 32 (16) :2721-2729
1998

745.

Ziebarth, K.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
High-resolution study of the X\(_{2}\) \(^{2}\)\(\Pi\)\(_{3/2}\) → X\(_{1}\) \(^{2}\)\(\Pi\)\(_{1/2}\) fine structure transitions of PbF and PbCl
Journal of Molecular Spectroscopy, 191 (1) :108-116
1998
Herausgeber: Academic Press

744.

Ziebarth, K.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
High-resolution study of the X\(_{2}\) \(^{2}\)\(\Pi\)\(_{3/2}\) → X\(_{1}\) \(^{2}\)\(\Pi\)\(_{1/2}\) fine structure transitions of PbF and PbCl
Journal of Molecular Spectroscopy, 191 (1) :108-116
1998
Herausgeber: Academic Press

743.

Becker, Karl Heinz; Kleffmann, J{ö}rg; Negri, R. Martin; Wiesen, Peter
Solubility of nitrous acid (HONO) in ammonium sulfate solutions
Journal of the Chemical Society - Faraday Transactions, 94 (11) :1583-1586
1998
Herausgeber: The Royal Society of Chemistry

742.

Becker, Karl Heinz; Kleffmann, J{ö}rg; Negri, R. Martin; Wiesen, Peter
Solubility of nitrous acid (HONO) in ammonium sulfate solutions
Journal of the Chemical Society - Faraday Transactions, 94 (11) :1583-1586
1998
Herausgeber: The Royal Society of Chemistry

741.

Tausch, Michael W.
Sinn(e) der Fachdidaktik
{CHEMKON}, 5 (4) :173--173
1998
Herausgeber: Wiley

740.

Günther, Michael
Simulating digital circuits numerically--a charge-oriented ROW approach
Numerische Mathematik, 79 (2) :203--212
1998
Herausgeber: Springer-Verlag

739.

G\"unther, Michael
Simulating digital circuits numerically -- a charge-oriented {ROW} approach
Numer.~Math., 79 :203--212
1998

738.

Schmidt, Sven; Benter, Thorsten; Schindler, Ralph N.
Photodissociation dynamcis of ClO radicals in the range (237
Chemical Physics Letters, 282 (3-4) :292-298
1998

737.

Schmidt, Sven; Benter, Thorsten; Schindler, Ralph N.
Photodissociation dynamcis of ClO radicals in the range (237
Chemical Physics Letters, 282 (3-4) :292-298
1998

736.

Schmidt, Sven; Benter, Thorsten; Schindler, Ralph N.
Photodissociation dynamcis of ClO radicals in the range (237<λ<270) nm and at 205 nm and the velocity distribution of O(1D) atoms
Chemical Physics Letters, 282 (3-4) :292-298
1998

735.

Wöhrle, D.; Tausch, Michael W.; Stohrer, W.-D.
PHOTOCHEMIE - Konzepte, Methoden, Experimente
Herausgeber: Wiley-VCH, Weinheim
1998

734.

Günther, M; Le Tallec, P; Perlat, JP; Struckmeier, J
Numerical modeling of gas flows in the transition between rarefied and continuum regimes
Numerical Flow Simulation I: CNRS-DFG Collaborative Research Programme, Results 1996--1998 :222--241
1998
Herausgeber: Springer Berlin Heidelberg

733.

Gilg, A; Günther, M
Numerical circuit simulation Grund, F, s Borchardt, J Gunther, M, s Gilg, A
Surveys on Mathematics for Industry, 8 (3) :165--170
1998
Herausgeber: Wien; New York: Springer-Verlag, 1991-c2005.

732.

Bartel, A.
MultiROW within P-Star. A Feasibility Study
Unclassified NatLab Report No. 1998/824
Herausgeber: Philips Electronics
1998

731.

Shestakov, Oleg; Gielen, R.; Pravilov, A. M.; Setzer, Klaus-Dieter; Fink, Ewald H.
LIF study of the b1Σ+(b0+) ↔ X3Σ-(X10+,X21) transitions of SbH and SbD
Journal of Molecular Spectroscopy, 191 (1) :199-205
1998
Herausgeber: Academic Press

730.

Shestakov, Oleg; Gielen, R.; Pravilov, A. M.; Setzer, Klaus-Dieter; Fink, Ewald H.
LIF study of the b\(^{1}\)\(\Sigma\)\(^{+}\)(b0\(^{+}\)) ↔ X\(^{3}\)\(\Sigma\)\(^{-}\)(X\(_{1}\)0\(^{+}\),X\(_{2}\)1) transitions of SbH and SbD
Journal of Molecular Spectroscopy, 191 (1) :199-205
1998
Herausgeber: Academic Press

729.

Shestakov, Oleg; Gielen, R.; Fink, Ewald H.
LIF Studies of the A~ 1A' States of BiOH and BiOD
Journal of Molecular Spectroscopy, 192 (1) :111-118
1998
Herausgeber: Academic Press

728.

Shestakov, Oleg; Gielen, R.; Fink, Ewald H.
LIF Studies of the A\verb=~= \(^{1}\)A' States of BiOH and BiOD
Journal of Molecular Spectroscopy, 192 (1) :111-118
1998
Herausgeber: Academic Press

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