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

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

doi:10.1109/CEFC-LONG57069.2022.10107548

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

Samuel Kvasnicka, Klaus Roppert, Christian 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 of particular interest in numerous applications, for example, in the field of wireless power transfer. Especially when rigorous optimization strategies shall be applied which require a large number of function calls. This contribution demonstrates the construction of a differential-algebraic equation system to describe a given single-input single-output behavior of a two and three dimensional eddy current model which is essential for a broad range of model order reduction techniques. The description of the problem in terms of a differential-algebraic equation system furthermore allows an ease coupling of electric circuits.

Original language	English
Title of host publication	2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation-Long Papers, CEFC-LONG 2022 - Proceedings
Publisher	ACM/IEEE
Pages	1-4
Number of pages	4
ISBN (Electronic)	9798350346404
ISBN (Print)	979-8-3503-4641-1
DOIs	https://doi.org/10.1109/CEFC-LONG57069.2022.10107548
Publication status	E-pub ahead of print - 26 Apr 2023
Event	20th IEEE Biennial Conference on Electromagnetic Field Computation-Long papers: CEFC-LONG 2022 - Denver, United States Duration: 24 Oct 2022 → 26 Oct 2022

Conference

Conference	20th IEEE Biennial Conference on Electromagnetic Field Computation-Long papers
Country/Territory	United States
City	Denver
Period	24/10/22 → 26/10/22

Keywords

Finite element method
Model order reduction
linear differential-algebraic equation
eddy current model
model order reduction

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Instrumentation
Electrical and Electronic Engineering
Computer Networks and Communications

Access to Document

10.1109/CEFC-LONG57069.2022.10107548

Cite this

Kvasnicka, S., Roppert, K., Riener, C., Bauernfeind, T., & Kaltenbacher, M. (2023). 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-Long Papers, CEFC-LONG 2022 - Proceedings (pp. 1-4). Article 10107548 ACM/IEEE. Advance online publication. https://doi.org/10.1109/CEFC-LONG57069.2022.10107548

Model order reduction techniques for linear differential-algebraic equations applied to semi-discretized eddy current model. / Kvasnicka, Samuel ; Roppert, Klaus; Riener, Christian et al.
2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation-Long Papers, CEFC-LONG 2022 - Proceedings. ACM/IEEE, 2023. p. 1-4 10107548.

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

Kvasnicka, S , Roppert, K, Riener, C, Bauernfeind, T & Kaltenbacher, M 2023, 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-Long Papers, CEFC-LONG 2022 - Proceedings., 10107548, ACM/IEEE, pp. 1-4, 20th IEEE Biennial Conference on Electromagnetic Field Computation-Long papers, Denver, Colorado, United States, 24/10/22. https://doi.org/10.1109/CEFC-LONG57069.2022.10107548

Kvasnicka S , Roppert K, Riener C, Bauernfeind T , Kaltenbacher M. 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-Long Papers, CEFC-LONG 2022 - Proceedings. ACM/IEEE. 2023. p. 1-4. 10107548 Epub 2023 Apr 26. doi: 10.1109/CEFC-LONG57069.2022.10107548

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

Abstract

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Keywords

ASJC Scopus subject areas

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