Tag Archive for 'Simulation'

Visiting Leuven

During September I will be out of office (Wuppertal). I will be a guest at the Wave Propagation and Signal Processing Research Group of the Katholieke Universiteit Leuven, Kortrijk, thanks to my DAAD grant.

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Computational Magnetics

Eddy Currents

Next term the chair of numercial analysis, Bergische Universität Wuppertal, offers a lecture on Computational Magnetics. The aim is to develop an Octave software package to simulate magnetoquasistatic fields.

All the typical tasks of applied mathematics will be covered: modeling, software design, coding, testing, simulation und visualization.

Compumag 2009, Florianópolis

Main Hall

Compumag 2009 Plenary

I attended the Compumag 2009 in Florianópolis supported by a travel grant from the DAAD (German Academic Exchange Service). At the conference I showed a nice application of my latest research on co-simulation (together with Andreas Bartel and Herbert De Gersem). The theory is based on the work of Arnold/Günther: “Preconditioned dynamic iteration for coupled differential-algebraic systems” published in BIT Numerical Mathematics.

The given application is a multirate framework for the efficient simulation of field/circuit coupled problems. Within this framework, a guarantee for convergence and stability was given by PDAE analysis. It was shown that different time step sizes in different parts of the model can be automatically chosen according to the problem’s dynamics. Finally a finite element model of a transformer coupled to a circuit was given to illustrate the efficiency of the multirate method.

The talk was awarded with a COMPUMAG best paper commendation.

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Flux Distribution in a Transformer

I have written a simulation package FIDES to test multi rate time integration in coupled electromagnetic field and electric circruit equations. The package is part of the COMSON Demonstrator Platform, using OCTAVE as its interpreter.
Recently I wanted to visualize my results. I used ffmpeg to produce a movie from several plots of the flux distribution inside a transformer.

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Einbettungsverfahren

Abbildung des Konvergenzbereich des Arcustangens-BeispielsUm Nullstellen von nicht-linearen Problemen zu bestimmen, benötigt man Startwerte in der Nähe der Lösung. Wenn man diese nicht kennt, kann man versuchen das Newton-Verfahren zu globalisieren, zum Beispiel mit einem Einbettungsverfahren. Das eignet sich besonders für praxisnahe Probleme, die von einem ausgezeichneten Parameter abhängen. Dieser Steuerungsparameter kann zum Beispiel bei der Modellierung eines naturwissenschaftlichen Prozesses die Zeit repräsentieren. Details finden sich im Buch Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms von Peter Deuflhard, oder in einer Zusammenfassung, die ich als Seminararbeit angefertigt habe.