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
1253.
[german] Tausch, Michael W.
1 mol Quanten? - Ja bitte, aber blaue
Praxis der Naturwissenschaften - Chemie in der Schule, 52 (7) :23
20031252.
Ehrhardt, Matthias
A fast method to implement non-local discrete transparent boundary conditions for the Schrödinger equation
PAMM: Proceedings in Applied Mathematics and Mechanics, 2 (1) :424–425
2003
Herausgeber: WILEY-VCH Verlag1251.
A fast method to implement non-local discrete transparent boundary conditions for the Schrödinger equation
, PAMM: Proceedings in Applied Mathematics and MechanicsBand2, Seite 424--425
WILEY-VCH Verlag Berlin
20031250.
Günther, Michael
A refined PDAE network model for a CMOS ring oscillator
In Antreich, K. and {et al.}, Editor, Modeling, Simulation, and Optimization of Integrated Circuits: Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, November 25-December 1, 2001, Seite 203--218
Birkhäuser Basel
In Antreich, K. and {et al.}, Editor
Herausgeber: Birkh\"auser Verlag, Basel
20031249.
Günther, Michael
A refined PDAE network model for a CMOS ring oscillator
In Antreich, Kurt and Bulirsch, Roland and Gilg, Albert and Rentrop, Peter, Editor, Modeling, Simulation and Optimization of Integrated CircuitsausISNM International Series of Numerical Mathematics, Seite 203–218
In Antreich, Kurt and Bulirsch, Roland and Gilg, Albert and Rentrop, Peter, Editor
Herausgeber: Birkhäuser Basel
20031248.
Günther, Michael
A refined PDAE network model for a CMOS ring oscillator
In Antreich, Kurt and Bulirsch, Roland and Gilg, Albert and Rentrop, Peter, Editor, Modeling, Simulation and Optimization of Integrated CircuitsausISNM International Series of Numerical Mathematics, Seite 203–218
In Antreich, Kurt and Bulirsch, Roland and Gilg, Albert and Rentrop, Peter, Editor
Herausgeber: Birkhäuser Basel
20031247.
Jacob, Birgit
An operator theoretical approach towards systems over the signal space l_2(\Bbb Z)
Integral Equations Operator Theory, 46 (2) :189--214
20031246.
Al, Guiseppe; Bartel, Andreas; Günther, Michael
Analysis of coupled systems in chip design
Herausgeber: Universität Karlsruhe, Institut für Wissenschaftliches Rechnen und~…
20031245.
Ehrhardt, Matthias
Approximation, stability and fast calculation of non-local boundary conditions for the Schrödinger equation
Commun. Math. Sci, 1 (3) :501--556
20031244.
Heijmen, T. G. A.; Lin, C.; Maten, E. J. W.; Sevat, M. F.
Augmented Lagrangian Algorithm for Optimizing Analog Circuit Design
In A. Buikis and R. Ciegis and A. D. Fitt, Editor, Progress in Industrial Mathematics at {ECMI} 2002, Jurmala Band 5 aus Mathematics in Industry
Seite 179--184
Herausgeber: Springer Berlin Heidelberg
2003
179--1841243.
Tausch, Michael W.; Wachtendonk, Magdalene; Bohrmann-Linde, Claudia; Krollmann, P.; Schmitz, W.; Wambach, H.
CHEMIE 2000+ Band 2, Lehrbuch für die gymnasiale Oberstufe
Herausgeber: C.C.Buchner, Bamberg
20031242.
Tausch, Michael W.; Szemenyei, M.; Maibaum, R.; al., et
Chemie 2000+ Online - Internet-Portal mit Online-Service für Unterricht und Studium
Online
20031241.
Rentrop, P.; G\"unther, Michael; Hoschek, M.; Feldmann, U.
CHORAL - a charge-oriented algorithm for the numerical integration of electrical circuits
In W. Jäger and H.-J. Krebs, Editor, Mathematics - Key Technology for the Future. Joint Projects Between Universities and Industry
Seite 429-438
Herausgeber: Springer Verlag, Berlin
2003
429-4381240.
Rentrop, P.; Günther, M.; Hoschek, M.; Feldmann, U.
CHORAL - a charge-oriented algorithm for the numerical integration of electrical circuits
In Jäger, WIlli and Krebs, Hans-Joachim, Editor
Seite 429–438
Herausgeber: Springer Berlin Heidelberg
2003
429–4381239.
Rentrop, P.; Günther, M.; Hoschek, M.; Feldmann, U.
CHORAL - a charge-oriented algorithm for the numerical integration of electrical circuits
In Jäger, WIlli and Krebs, Hans-Joachim, Editor
Seite 429–438
Herausgeber: Springer Berlin Heidelberg
2003
429–4381238.
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
20031237.
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
20031236.
Günther, Michael; Jüngel, Ansgar
Die Monte-Carlo-Methode
Finanzderivate mit MATLAB{\textregistered}: Mathematische Modellierung und numerische Simulation :97--148
2003
Herausgeber: Vieweg+ Teubner Verlag1235.
Tausch, Michael W.; Haas, L.
Die Standard-Matrix, ein Paradigma für den Chemieunterricht
Praxis der Naturwissenschaften - Chemie in der Schule, 52 (1) :7
20031234.
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 Press1233.
Ehrhardt, Matthias
Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
20031232.
Tausch, Michael W.
Dutzend, Schock... Mol - in eine Schublade?
Praxis der Naturwissenschaften - Chemie in der Schule, 52 (7) :1
20031231.
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 Verlag1230.
Günther, Michael
Dynamic iteration may fail for partitioned network simulation
, PAMM: Proceedings in Applied Mathematics and MechanicsBand2, Seite 499--502
WILEY-VCH Verlag Berlin
20031229.
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
