Model reduction of differential-algebraic equation systems using constructed spectral projectors

Samuel Kvasnicka; Klaus Roppert; Manfred Kaltenbacher

doi:10.1109/CEFC55061.2022.9940803

Model reduction of differential-algebraic equation systems using constructed spectral projectors

Samuel Kvasnicka, Klaus Roppert, Manfred Kaltenbacher

Institute of Fundamentals and Theory in Electrical Engineering (4370)

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

Abstract

This contribution introduces linear differential-algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for a DAE with index 1 or 2. Further, a interpolatory projection-based model order reduction technique using spectral projectors is applied to an electrical circuit to compute a reduced order model.

Original language	English
Title of host publication	2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC)
Number of pages	2
DOIs	https://doi.org/10.1109/CEFC55061.2022.9940803
Publication status	Published - 2022
Event	20th Biennial IEEE Conference on Electromagnetic Field Computation: CEFC 2022 - Virtual, Online, United States Duration: 24 Oct 2022 → 26 Oct 2022 Conference number: 20 https://2022.ieeecefc.org/

Conference

Conference	20th Biennial IEEE Conference on Electromagnetic Field Computation
Abbreviated title	CEFC 2022
Country/Territory	United States
City	Virtual, Online
Period	24/10/22 → 26/10/22
Internet address	https://2022.ieeecefc.org/

Keywords

Differential-algebraic equation,
Spectral projector
Model order reduction
Modified nodal analysis

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10.1109/CEFC55061.2022.9940803

Cite this

Kvasnicka, S , Roppert, K & Kaltenbacher, M 2022, Model reduction of differential-algebraic equation systems using constructed spectral projectors. in 2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC). 20th Biennial IEEE Conference on Electromagnetic Field Computation, Virtual, Online, United States, 24/10/22. https://doi.org/10.1109/CEFC55061.2022.9940803

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abstract = "This contribution introduces linear differential-algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for a DAE with index 1 or 2. Further, a interpolatory projection-based model order reduction technique using spectral projectors is applied to an electrical circuit to compute a reduced order model.",

keywords = "Differential-algebraic equation,, Spectral projector, Model order reduction, Modified nodal analysis",

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

year = "2022",

doi = "10.1109/CEFC55061.2022.9940803",

language = "English",

booktitle = "2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC)",

note = "20th Biennial IEEE Conference on Electromagnetic Field Computation : CEFC 2022, CEFC 2022 ; Conference date: 24-10-2022 Through 26-10-2022",

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T1 - Model reduction of differential-algebraic equation systems using constructed spectral projectors

AU - Kvasnicka, Samuel

AU - Roppert, Klaus

AU - Kaltenbacher, Manfred

N1 - Conference code: 20

PY - 2022

Y1 - 2022

N2 - This contribution introduces linear differential-algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for a DAE with index 1 or 2. Further, a interpolatory projection-based model order reduction technique using spectral projectors is applied to an electrical circuit to compute a reduced order model.

AB - This contribution introduces linear differential-algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for a DAE with index 1 or 2. Further, a interpolatory projection-based model order reduction technique using spectral projectors is applied to an electrical circuit to compute a reduced order model.

KW - Differential-algebraic equation,

KW - Spectral projector

KW - Model order reduction

KW - Modified nodal analysis

U2 - 10.1109/CEFC55061.2022.9940803

DO - 10.1109/CEFC55061.2022.9940803

M3 - Conference paper

BT - 2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC)

T2 - 20th Biennial IEEE Conference on Electromagnetic Field Computation

Y2 - 24 October 2022 through 26 October 2022

ER -

Model reduction of differential-algebraic equation systems using constructed spectral projectors

Abstract

Conference

Keywords

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