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

1234.

Heilmann, Margareta
Commutativity of Durrmeyer-type modifications of Meyer-König and Zeller and Baskakov-operators
Constructive Theory of Functions - Proceedings of the International Conference, Varna, Bulgaria, 2002, Seite 295-301
In B. Bojanov et al., Editor
Herausgeber: Sofia: DARBA
2003

1233.

Jacob, Birgit; Partington, Jonathan R.; Pott, Sandra
Conditions for admissibility of observation operators and boundedness of Hankel operators
Integral Equations Operator Theory, 47 (3) :315--338
2003

1232.

Günther, Michael; Jüngel, Ansgar
Die Monte-Carlo-Methode
Finanzderivate mit MATLAB{\textregistered}: Mathematische Modellierung und numerische Simulation :97--148
2003
Herausgeber: Vieweg+ Teubner Verlag

1231.

Tausch, Michael W.; Haas, L.
Die Standard-Matrix, ein Paradigma für den Chemieunterricht
Praxis der Naturwissenschaften - Chemie in der Schule, 52 (1) :7
2003

1230.

Ehrhardt, Matthias
Discrete transparent boundary conditions for the Schrödinger equation: Fast calculation, approximation, and stability
Communications in Mathematical Sciences, 1 (3) :501–556
2003
Herausgeber: International Press

1229.

Ehrhardt, Matthias
Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
2003

1228.

Tausch, Michael W.
Dutzend, Schock... Mol - in eine Schublade?
Praxis der Naturwissenschaften - Chemie in der Schule, 52 (7) :1
2003

1227.

Günther, Michael
Dynamic iteration may fail for partitioned network simulation
PAMM: Proceedings in Applied Mathematics and Mechanics, 2 (1) :499–502
2003
Herausgeber: WILEY-VCH Verlag

1226.

Günther, Michael
Dynamic iteration may fail for partitioned network simulation
, PAMM: Proceedings in Applied Mathematics and MechanicsBand2, Seite 499--502
WILEY-VCH Verlag Berlin
2003

1225.

Günther, Michael
Dynamic iteration may fail for partitioned network simulation
PAMM: Proceedings in Applied Mathematics and Mechanics, 2 (1) :499–502
2003
Herausgeber: WILEY-VCH Verlag

1224.

Geiger, Harald; Becker, Karl Heinz; Wiesen, Peter
Effect of Gasoline Formulation on the Formation of Photosmog: A Box Model Study
Journal of the Air and Waste Management Association, 53 (4) :425-433
2003

1223.

Geiger, Harald; Becker, Karl Heinz; Wiesen, Peter
Effect of Gasoline Formulation on the Formation of Photosmog: A Box Model Study
Journal of the Air and Waste Management Association, 53 (4) :425-433
2003

1222.

Geiger, Harald; Becker, Karl Heinz; Wiesen, Peter
Effect of Gasoline Formulation on the Formation of Photosmog: A Box Model Study
Journal of the Air and Waste Management Association, 53 (4) :425-433
2003

1221.

Heilmann, Margareta
Eigenfunctions of Durrmeyer-type modifications of Meyer-König and Zeller operators
Journal of Approximation Theory, 125 (1) :63-73
2003

1220.

Alì, Giuseppe; Bartel, Andreas; Günther, Michael; Tischendorf, Caren
Elliptic partial differential-algebraic multiphysics models in electrical network design
Mathematical Models and Methods in Applied Sciences, 13 (09) :1261–1278
2003
Herausgeber: World Scientific Publishing

1219.

Ali, G; Bartel, A; Tischendorf, C
Elliptic partial differential-algebraic multiphysics models in electrical network design
Mathematical Models and Methods in Applied Sciences, 13 (09) :1261--1278
2003
Herausgeber: World Scientific

1218.

Alì, Giuseppe; Bartel, Andreas; Günther, Michael; Tischendorf, Caren
Elliptic partial differential-algebraic multiphysics models in electrical network design
Mathematical Models and Methods in Applied Sciences, 13 (09) :1261–1278
2003
Herausgeber: World Scientific Publishing

1217.

Setzer, Klaus-Dieter; Borkowska-Burnecka, J.; Zyrnicki, W.; Pravilov, A. M.; Fink, Ewald H.; Das, K. K.; Liebermann, Heinz-Peter; Alekseyev, Aleksey B.; Buenker, Robert J.
Experimental and theoretical study of the electronic states and spectra of PbLi
Journal of Molecular Spectroscopy, 217 (1) :127-141
2003
Herausgeber: Academic Press

1216.

Setzer, Klaus-Dieter; Borkowska-Burnecka, J.; Zyrnicki, W.; Pravilov, A. M.; Fink, Ewald H.; Das, K. K.; Liebermann, Heinz-Peter; Alekseyev, Aleksey B.; Buenker, Robert J.
Experimental and theoretical study of the electronic states and spectra of PbLi
Journal of Molecular Spectroscopy, 217 (1) :127-141
2003
Herausgeber: Academic Press

1215.

Setzer, Klaus-Dieter; Borkowska-Burnecka, J.; Zyrnicki, W.; Pravilov, A. M.; Fink, Ewald H.; Das, K. K.; Liebermann, Heinz-Peter; Alekseyev, Aleksey B.; Buenker, Robert J.
Experimental and theoretical study of the electronic states and spectra of PbLi
Journal of Molecular Spectroscopy, 217 (1) :127-141
2003
Herausgeber: Academic Press

1214.

Günther, Michael; Jüngel, Ansgar
Finanzderivate mit MATLAB{\textregistered}
2003

1213.

Bartel, A.:
First order thermal {PDAE} models in electric circuit design
In Troch, I. and Breitenecker, F., Editor, Proceedings 4th Mathmod, Vienna 2003
In Troch, I. and Breitenecker, F., Editor
2003

1212.

Bartel, Andreas
First order thermal PDAE models in electric circuit design
In Troch, Inge and Breitenecke, F., Editor, 4th MATHMOD Vienna. Proceedings IMACS Symposium on Mathematical ModellingausArgesim Report 24, Seite 1376–1381
In Troch, Inge and Breitenecke, F., Editor
Herausgeber: TU Wien
2003

1211.

Bartel, Andreas; Günther, Michael
From {SOI} to abstract electric-thermal-{1D} multiscale modeling for first order thermal effects
Mathematical and Computer Modelling of Dynamical Systems, 9 (1) :25--44
2003
Herausgeber: Taylor & Francis

1210.

Bartel, A.; G\"unther, Michael
From {SOI} to abstract electric-thermal-1D mutiscale modeling for first order thermal effects
Mathematical and Computer Modelling of Dynamical Systems, 9 :25--44
2003