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
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
- Efficiency of the time-integration for field devices in pulsed circuits (multirate, dynamic iteration)
- DAE-index of the coupled system
- Existence and Uniqueness of the solution
Cooperation
- Herbert De Gersem, Katholieke Universiteit Leuven
- Markus Clemens, Bergische Universität Wuppertal
- Sascha Baumanns, Universität zu Köln
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
20031233.
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
20031232.
Günther, Michael; Jüngel, Ansgar
Die Monte-Carlo-Methode
Finanzderivate mit MATLAB{\textregistered}: Mathematische Modellierung und numerische Simulation :97--148
2003
Herausgeber: Vieweg+ Teubner Verlag1231.
Tausch, Michael W.; Haas, L.
Die Standard-Matrix, ein Paradigma für den Chemieunterricht
Praxis der Naturwissenschaften - Chemie in der Schule, 52 (1) :7
20031230.
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 Press1229.
Ehrhardt, Matthias
Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
20031228.
Tausch, Michael W.
Dutzend, Schock... Mol - in eine Schublade?
Praxis der Naturwissenschaften - Chemie in der Schule, 52 (7) :1
20031227.
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 Verlag1226.
Günther, Michael
Dynamic iteration may fail for partitioned network simulation
, PAMM: Proceedings in Applied Mathematics and MechanicsBand2, Seite 499--502
WILEY-VCH Verlag Berlin
20031225.
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 Verlag1224.
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
20031223.
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
20031222.
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
20031221.
Heilmann, Margareta
Eigenfunctions of Durrmeyer-type modifications of Meyer-König and Zeller operators
Journal of Approximation Theory, 125 (1) :63-73
20031220.
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 Publishing1219.
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 Scientific1218.
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 Publishing1217.
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 Press1216.
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 Press1215.
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 Press1214.
Günther, Michael; Jüngel, Ansgar
Finanzderivate mit MATLAB{\textregistered}
20031213.
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
20031212.
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
20031211.
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 & Francis1210.
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