Model order reduction techniques for linear differential-algebraic equations applied to semi-discretized eddy current model

Samuel Kvasnicka; Klaus Roppert; Christian Manfred Riener; Thomas Bauernfeind; Manfred Kaltenbacher

doi:10.1109/CEFC55061.2022.9940895

Model order reduction techniques for linear differential-algebraic equations applied to semi-discretized eddy current model

Samuel Kvasnicka, Klaus Roppert, Christian Manfred Riener, Thomas Bauernfeind, Manfred Kaltenbacher

Institute of Fundamentals and Theory in Electrical Engineering (4370)

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

Abstract

The generation of reduced order models describing the input-output behavior of linear quasi-stationary electromagnetic field problems is in many applications of particular interest, e.g. in the field of wireless power transfer. This contribution demonstrates the construction of a differential-algebraic equation system to describe a given single-input single-output behavior of an eddy current model which is essential for a broad range of model order reduction techniques.

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/CEFC55061.2022.9940895
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

Finite element method
Model order reduction
Differential-algebraic equation

Access to Document

10.1109/CEFC55061.2022.9940895

Cite this

Model order reduction techniques for linear differential-algebraic equations applied to semi-discretized eddy current model. / Kvasnicka, Samuel ; Roppert, Klaus; Riener, Christian Manfred et al.
2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC). 2022.

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

Kvasnicka, S , Roppert, K, Riener, CM, Bauernfeind, T & Kaltenbacher, M 2022, Model order reduction techniques for linear differential-algebraic equations applied to semi-discretized eddy current model. 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/CEFC55061.2022.9940895

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abstract = "The generation of reduced order models describing the input-output behavior of linear quasi-stationary electromagnetic field problems is in many applications of particular interest, e.g. in the field of wireless power transfer. This contribution demonstrates the construction of a differential-algebraic equation system to describe a given single-input single-output behavior of an eddy current model which is essential for a broad range of model order reduction techniques.",

keywords = "Finite element method, Model order reduction, Differential-algebraic equation",

author = "Samuel Kvasnicka and Klaus Roppert and Riener, {Christian Manfred} and Thomas Bauernfeind and Manfred Kaltenbacher",

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doi = "10.1109/CEFC55061.2022.9940895",

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AU - Riener, Christian Manfred

AU - Bauernfeind, Thomas

AU - Kaltenbacher, Manfred

N1 - Conference code: 20

PY - 2022

Y1 - 2022

N2 - The generation of reduced order models describing the input-output behavior of linear quasi-stationary electromagnetic field problems is in many applications of particular interest, e.g. in the field of wireless power transfer. This contribution demonstrates the construction of a differential-algebraic equation system to describe a given single-input single-output behavior of an eddy current model which is essential for a broad range of model order reduction techniques.

AB - The generation of reduced order models describing the input-output behavior of linear quasi-stationary electromagnetic field problems is in many applications of particular interest, e.g. in the field of wireless power transfer. This contribution demonstrates the construction of a differential-algebraic equation system to describe a given single-input single-output behavior of an eddy current model which is essential for a broad range of model order reduction techniques.

KW - Finite element method

KW - Model order reduction

KW - Differential-algebraic equation

U2 - 10.1109/CEFC55061.2022.9940895

DO - 10.1109/CEFC55061.2022.9940895

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 order reduction techniques for linear differential-algebraic equations applied to semi-discretized eddy current model

Abstract

Conference

Keywords

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