Sebastian Schöps » Maxwell

DMV Tagung, Köln

Sebastian — Thu, 22 Sep 2011 19:50:18 +0000

Auf der Tagung des deustchen Mathematikerverbandes habe ich einen Vortrag zum “Mehrskalenverfahren für die Feld- und Netzwerkkopplung” gehalten: es wurden vor allem Mehrskalenverfahren in der Zeit für die schwachgekoppelte Simulation von räumlichverteilten elektromagnetischen Bauteilen mit elektrischen Netzwerken besprochen.

Die betrachteten Bauteile wurden durch Maxwell’s partielle Differentialgleichungen (PDEs) und einigen zusätzlichen algebraischen Kopplungsgleichungen (AE) beschrieben, so dass das resultierende System aus PDAEs besteht (z.B. niederfrequente Bauteile wie Transformatoren oder Motoren gesteuert durch gepulste Signale). Die Struktur, Kopplung und der Index der semidiskreten Systeme wurden analysiert und maßgeschneiderte Verfahren vorgestellt. Insbesondere Cosimulation und Bypassing-Verfahren wurden diskutiert. Es konnte gezeigt werden, dass die Methoden stabil und effizient arbeiten.

DMV 2011 Tagungs-Website

SCEE 2010, Toulouse

Sebastian — Sat, 02 Oct 2010 21:36:55 +0000

SCEE Poster Presentation

The 8th conference on Scientific Computing in Electrical Engineering was held in Toulouse, organized by Onera. My contribution was a poster on “Multirate Time Integration of Field/Circuit Coupled Problems by Schur Complements” and I was co-author of the talk on “A modeling based preconditioned dynamic iteration scheme for coupled circuit-device problems” given by Markus Brunk. Here you find the abstract and poster:

Abstract: Strategies for Hierarchical Solving of Field/Circuit Coupled Problems
Poster: Multirate Time Integration of Field/Circuit Coupled Problems by Schur Complements
Preprint: Multirate Time Integration of Field/Circuit Coupled Problems by Schur Complements

ECMI 2010

Sebastian — Fri, 30 Jul 2010 13:52:54 +0000

Stadthalle

Today was the last day of the 16th European Conference on Mathematics for Industry that took place in the Historische Stadthalle in Wuppertal. As a member of the working group of applied math and numerical anaylsis, I was part of the local organizing committee.

I gave a talk in the minisymposium on Electromagnetic Field Computation about fitting reduced order models in magnetoquasistatic field problems (a continuation of my research presented in Essen) but also on the converegence of the scheme (slides 13ff).

Here you can find abstract and presentation

Abstract: Multirate Time-Integration with Reduced Order Models
Presentation: Multirate Time-Integration with Reduced Order Models

Computational Magnetics

Sebastian — Tue, 13 Jul 2010 20:20:12 +0000

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.

Flux Distribution in a Transformer

Sebastian — Fri, 27 Mar 2009 13:09:34 +0000

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.

The results looks like this:
download movie.

SCEE in Finland

Sebastian — Fri, 10 Oct 2008 11:09:21 +0000

I’m back from the SCEE 2008 (Scientific Computing in Electrical Engineering) Conference in Espoo, Finland.
The picture on the left is given to illustrate my coupling approach during my talk about circuits refined by 3-D conductor models. The circuit is given in terms of the modified nodal analysis and the field is discretized by the finite integration technique. The coupled system is introduced and analyzed; numerical results are obtained by co-simulation (“weak coupling”) and monolithic coupling (“strong”). The basic ideas are taken from my master thesis, but there are new additional theoretical and numerical results.
Here you can find the presentation and the preprint of the paper.

Abstract: Co-Simulation of Circuits Reﬁned by 3-D Conductor Models
Presentation: Simulation of Lumped Electric Circuits Refined by 3-D Magnetoquasistatic Conductor Models
Preprint: DAE-Index and Convergence Analysis of Lumped Electric Circuits Refined by 3-D Magnetoquasistatic Conductor Models (published in SCEE 2008 by Springer)

Master-Thesis

Sebastian — Mon, 25 Feb 2008 18:29:16 +0000

This is my thesis on computational electromagnetics, from the abstract:

Electric circuits contain devices that exhibit multi-physical effects. We may think of electric or magnetic, but also thermal effects. Traditionally these devices are idealized and only one effect is considered, while the others are disregarded. This yields simple laws that mathematically express their transient behaviour, but does not conform to reality. So sometimes these models are not accurate enough and one wants to simulate a particular device with a refined model. We shall present such a refined modelling approach for electromagnetic devices in this treatise.

Coupling and Simulation of Lumped Electric Circuits Refined by 3-D Magnetoquasistatic Conductor Models Using MNA and FIT