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
- 2004
1259.
Wu, Shenghai; Chen, Yangqin; Yang, Xiaohua; Guo, Yingchun; Liu, Yuyan; Li, Yan; Buenker, Robert J.; Jensen, Per
Vibronic transition moments and line intensities for H\(_{2}\)O\(^{+}\)
Journal of Molecular Spectroscopy, 225 (1) :96-106
2004
Herausgeber: Academic Press1258.
Wu, Shenghai; Chen, Yangqin; Yang, Xiaohua; Guo, Yingchun; Liu, Yuyan; Li, Yan; Buenker, Robert J.; Jensen, Per
Vibronic transition moments and line intensities for H\(_{2}\)O\(^{+}\)
Journal of Molecular Spectroscopy, 225 (1) :96-106
2004
Herausgeber: Academic Press1257.
Wu, Shenghai; Chen, Yangqin; Yang, Xiaohua; Guo, Yingchun; Liu, Yuyan; Li, Yan; Buenker, Robert J.; Jensen, Per
Vibronic transition moments and line intensities for H2O+
Journal of Molecular Spectroscopy, 225 (1) :96-106
2004
Herausgeber: Academic Press1256.
Bohrmann-Linde, Claudia
Von der Elektrolysezelle zur Leuchtdiode - Elektrolumineszenz im Chemieunterricht
Praxis der Naturwissenschaften - Chemie in der Schule, 56 (6)
20041255.
Jacob, Birgit
What is the better signal space for discrete-time systems: l_2(\Bbb Z) or l_2(\Bbb N_0)?
SIAM J. Control Optim., 43 (4) :1521--1534
20041254.
Tausch, Michael W.
Zink - Ein Element von A bis Z
Praxis der Naturwissenschaften - Chemie in der Schule, 53 (7) :1
20041253.
Tausch, Michael W.; Rohe, Bernd
Zinksulfat - Ein technisches Produkt mit didaktisch interessanten Facetten
Praxis der Naturwissenschaften - Chemie in der Schule, 53 (7) :21
2004- 2003
1252.
Houben, S. H. M. J.; Maten, E. J. W.; Sevat, M.F.
A new transient integration method for free-running oscillators
In R. Vahrmann, Editor, Analog 2003 -- Entwicklung von Analogschaltungen mit CAE-Methoden mit dem Schwerpunkt Entwurfsverfahren für Automotive-Anwendungen, Seite 61-66
In R. Vahrmann, Editor
September 20031251.
Feldmann, Jorg-Uwe; Günther, Michael
Simulation apparatus and simulation method for a system having analog and digital elements
August 20031250.
Tausch, Michael W.; Goodwin, Alan
... zur Forschung in der Didaktik: 7 Thesen ...
Chemie in unserer Zeit, 37 (3) :210--211
2003
Herausgeber: Wiley1249.
[german] Tausch, Michael W.
1 mol Quanten? - Ja bitte, aber blaue
Praxis der Naturwissenschaften - Chemie in der Schule, 52 (7) :23
20031248.
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 Verlag1247.
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
20031246.
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
20031245.
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
20031244.
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
20031243.
Jacob, Birgit
An operator theoretical approach towards systems over the signal space l_2(\Bbb Z)
Integral Equations Operator Theory, 46 (2) :189--214
20031242.
Al, Guiseppe; Bartel, Andreas; Günther, Michael
Analysis of coupled systems in chip design
Herausgeber: Universität Karlsruhe, Institut für Wissenschaftliches Rechnen und~…
20031241.
Ehrhardt, Matthias
Approximation, stability and fast calculation of non-local boundary conditions for the Schrödinger equation
Commun. Math. Sci, 1 (3) :501--556
20031240.
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--1841239.
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
20031238.
Tausch, Michael W.; Szemenyei, M.; Maibaum, R.; al., et
Chemie 2000+ Online - Internet-Portal mit Online-Service für Unterricht und Studium
Online
20031237.
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
429-4381236.
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
429–4381235.
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
429–438
