Structural analysis of electrical circuits including magnetoquasistatic devices
type: Item
instance of: scholarly article
title: Structural analysis of electrical circuits including magnetoquasistatic devices
zbMATH Open document ID: 1237.78041
author: Andreas Bartel
author: Sascha Baumanns
author: Sebastian Schöps
published in: Applied Numerical Mathematics
publication date: 2011-12-08T00:00:00Z
review text: The authors model a network of lumped circuit elements, e.g., resistors, inductors, and so on, with spatially distributed magnetoquasistatic (MQS) devices. The MQS device is described by the eddy current problem being already discretized in space (via edge-elements). This model leads to a coupled system of differential-algebraic equations, which has to be solved in the time domain. They investigate structural properties of this system, which are important for numerical integration. Applying a standard projection technique, they are able to deduce topological conditions such that the tractability index of the coupled problem does not exceed two.
Mathematics Subject Classification ID: 78M25
zbMATH DE Number: 5987759
zbMATH Keywords: modified nodal analysis
zbMATH Keywords: differential-algebraic equations
zbMATH Keywords: tractability index
zbMATH Keywords: electromagnetic devices
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: finite integration technique
zbMATH Keywords: structural analysis
zbMATH Keywords: eddy currents
describes a project that uses: Finite Element Method Magnetics
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: j.apnum.2011.08.004
OpenAlex ID: W2112243098
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DOI: 10.1016/J.APNUM.2011.08.004
description: scientific article; zbMATH DE number 5987759