Model Reduction of Linear Differential-Algebraic Equation Systems Using Constructed Spectral Projectors

Samuel Kvasnicka; Klaus Roppert; Manfred Kaltenbacher

doi:10.1109/TMAG.2023.3242426

Model Reduction of Linear Differential-Algebraic Equation Systems Using Constructed Spectral Projectors

Samuel Kvasnicka^*, Klaus Roppert, Manfred Kaltenbacher

^*Corresponding author for this work

Institute of Fundamentals and Theory in Electrical Engineering (4370)

Research output: Contribution to journal › Article › peer-review

Abstract

This contribution introduces linear differential-algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for DAEs with indexes 1 or 2. Furthermore, an interpolatory projection-based model order reduction method using spectral projectors is applied to an eddy current problem as well as an electrical circuit to compute a reduced order model.

Original language	English
Article number	7001404
Journal	IEEE Transactions on Magnetics
Volume	59
Issue number	5
Early online date	3 Feb 2023
DOIs	https://doi.org/10.1109/TMAG.2023.3242426
Publication status	Published - 1 May 2023

Keywords

Differential-algebraic equation
eddy current problem
model order reduction
spectral projector

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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10.1109/TMAG.2023.3242426Licence: CC BY 4.0

10036380Final published version, 3.14 MBLicence: CC BY 4.0

Cite this

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abstract = "This contribution introduces linear differential-algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for DAEs with indexes 1 or 2. Furthermore, an interpolatory projection-based model order reduction method using spectral projectors is applied to an eddy current problem as well as an electrical circuit to compute a reduced order model.",

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author = "Samuel Kvasnicka and Klaus Roppert and Manfred Kaltenbacher",

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AB - This contribution introduces linear differential-algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for DAEs with indexes 1 or 2. Furthermore, an interpolatory projection-based model order reduction method using spectral projectors is applied to an eddy current problem as well as an electrical circuit to compute a reduced order model.

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KW - spectral projector

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Model Reduction of Linear Differential-Algebraic Equation Systems Using Constructed Spectral Projectors

Abstract

Keywords

ASJC Scopus subject areas

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