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



2003

1192.

Bartel, Andreas; Günther, Michael; Schulz, Martin
Modeling and discretization of a thermal-electric test circuit
In Antreich, Kurt and Bulirsch, Roland and Gilg, Albert and Rentrop, Peter, Editor, Modeling, Simulation, and Optimization of Integrated Circuits: Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, November 25-December 1, 2001, Seite 187–201
In Antreich, Kurt and Bulirsch, Roland and Gilg, Albert and Rentrop, Peter, Editor
Herausgeber: Birkhäuser, Basel
2003

1191.

Bartel, Andreas; Günther, Michael; Schulz, Martin
Modeling and discretization of a thermal-electric test circuit
In Antreich, Kurt and Bulirsch, Roland and Gilg, Albert and Rentrop, Peter, Editor, Modeling, Simulation, and Optimization of Integrated Circuits: Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, November 25-December 1, 2001, Seite 187–201
In Antreich, Kurt and Bulirsch, Roland and Gilg, Albert and Rentrop, Peter, Editor
Herausgeber: Birkhäuser, Basel
2003

1190.

Farkas, Bálint
On the duals of L\sb p spaces with 0<p<1
Acta Math. Hungar., 98 (1-2) :71-77
2003

1189.

Bátkai, András; Farkas, Bálint
On the effect of small delays to the stability of feedback systems
, Evolution equations: applications to physics, industry, life sciences and economics (<prt>L</prt>evico <prt>T</prt>erme, 2000) Band 55 aus Progr. Nonlinear Differential Equations Appl.
Seite 83-94
Herausgeber: Birkhäuser, Basel
2003
83-94

1188.

Vogt, Rainer; Scheer, Volker; Casati, Roberto; Benter, Thorsten
On-Road Measurement of Particle Emission in the Exhaust Plume of a Diesel Passenger Car
Environmental Science \& Technology, 37 (18) :4070-4076
2003

1187.

Vogt, Rainer; Scheer, Volker; Casati, Roberto; Benter, Thorsten
On-Road Measurement of Particle Emission in the Exhaust Plume of a Diesel Passenger Car
Environmental Science \& Technology, 37 (18) :4070-4076
2003

1186.

Vogt, Rainer; Scheer, Volker; Casati, Roberto; Benter, Thorsten
On-Road Measurement of Particle Emission in the Exhaust Plume of a Diesel Passenger Car
Environmental Science & Technology, 37 (18) :4070-4076
2003

1185.

Maten, E. J. W.; Fijnvandraat, J. G.; Lin, C.; Peters, J. M. F.
Periodic {AC} and Periodic Noise in {RF} Simulation for Electronic Circuit Design
In K. Antreich and R. Bulirsch and A. Gilg and P. Rentrop, Editor, Modeling, Simulation, and Optimization of Integrated Circuits Band 146 aus Int. Series of Numer. Maths.
Seite 121--134
Herausgeber: Birkhäuser Basel
2003
121--134

1184.

Farkas, Bálint
Perturbations of Bi-Continuous Semigroups
Eötvös Loránd University
2003

1183.

[english] Bohrmann-Linde, Claudia; Tausch, Michael W.
Photogalvanic Cells for Classroom Investigations: A Contribution for Ongoing Curriculum Modernization
Journal of Chemical Education, 80 (12) :1471
2003
Herausgeber: American Chemical Society ({ACS})

1182.

Farkas, Bálint; Matolcsi, Máté
Positive forms on Banach spaces
Acta Math. Hungar., 99 (1-2) :43-55
2003

1181.

Yurchenko, Sergey N.; Carvajal, Miguel; Jensen, Per; Herregodts, F.; Huet, T. R.
Potential parameters of PH\(_{3}\) obtained by simultaneous fitting of ab initio data and experimental vibrational band origins
Chemical Physics, 290 (1) :59-67
2003
Herausgeber: North-Holland

1180.

Yurchenko, Sergey N.; Carvajal, Miguel; Jensen, Per; Herregodts, F.; Huet, T. R.
Potential parameters of PH\(_{3}\) obtained by simultaneous fitting of ab initio data and experimental vibrational band origins
Chemical Physics, 290 (1) :59-67
2003
Herausgeber: North-Holland

1179.

Yurchenko, Sergey N.; Carvajal, Miguel; Jensen, Per; Herregodts, F.; Huet, T. R.
Potential parameters of PH3 obtained by simultaneous fitting of ab initio data and experimental vibrational band origins
Chemical Physics, 290 (1) :59-67
2003
Herausgeber: North-Holland

1178.

Günther, Michael; Arnold, Martin
Preconditioned splitting and overlapping techniques in modular time integration
4th MATHMOD Vienna. Proceedings IMACS Symposium on Mathematical ModellingausArgesim Report 24, Seite 1382–1387
Herausgeber: TU Wien
2003

1177.

G\"unther, Michael; Arnold, M.
Preconditioned splitting and overlapping techniques in modular time integration
Mathmod 4 Proceedings
2003

1176.

Günther, Michael; Arnold, Martin
Preconditioned splitting and overlapping techniques in modular time integration
4th MATHMOD Vienna. Proceedings IMACS Symposium on Mathematical ModellingausArgesim Report 24, Seite 1382–1387
Herausgeber: TU Wien
2003

1175.

Jankova, Katja; Hvilsted, S{\o}ren
Preparation of Poly(2,3,4,5,6-pentafluorostyrene) and Block Copolymers with Styrene by ATRP
Macromolecules, 36 (5) :1753--1758
2003
ISSN: 0024-9297

1174.

Sturm, Peter J.; Baltensperger, Urs; Bacher, Michael; Lechner, Bernhard; Hausberger, Stefan; Heiden, Bernhard; Imhof, David; Weingartner, Ernest; Pr{é}v{{\^o}}t, Andre S. H.; Kurtenbach, Ralf; Wiesen, Peter
Roadside measurements of particulate matter size distribution
, Atmospheric EnvironmentBand37, Seite 5273-5281
Herausgeber: Pergamon
2003

1173.

Sturm, Peter J.; Baltensperger, Urs; Bacher, Michael; Lechner, Bernhard; Hausberger, Stefan; Heiden, Bernhard; Imhof, David; Weingartner, Ernest; Pr{é}v{{\^o}}t, Andre S. H.; Kurtenbach, Ralf; Wiesen, Peter
Roadside measurements of particulate matter size distribution
, Atmospheric EnvironmentBand37, Seite 5273-5281
Herausgeber: Pergamon
2003

1172.

Sturm, Peter J.; Baltensperger, Urs; Bacher, Michael; Lechner, Bernhard; Hausberger, Stefan; Heiden, Bernhard; Imhof, David; Weingartner, Ernest; Prévôt, Andre S. H.; Kurtenbach, Ralf; Wiesen, Peter
Roadside measurements of particulate matter size distribution
, Atmospheric EnvironmentBand37, Seite 5273-5281
Herausgeber: Pergamon
2003

1171.

Heilmann, Margareta
Rodriguez-type representation for the eigenfunctions of Durrmeyer-type operators
Results in Mathematics, 44 (1-2) :97-105
2003

1170.

Feldmann, Jorg-Uwe; Günther, Michael
Simulation apparatus and simulation method for a system having analog and digital elements
August 2003

1169.

Lamour, R.; März, R.; Winkler, R.
Stability of periodic solutions of index-2 differential-algebraic systems
J. Math. Anal. Appl., 279 :475--494
2003

1168.

Kirsch, Stefan; Bach, Thorsten
Stereoselective Synthesis of Enantiomerically Pure, Orthogonally Protected 2-Methylenecyclohexane-1,3,5-triols and 2,4,6-Trihydroxycyclohexanones
Synthesis, 2003 (12) :1827–1836
2003
ISSN: 0039-7881, 1437-210X