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

Research output: Conference proceeding/Chapter in Book/Report/ › 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)
Pages	1-4
Number of pages	4
DOIs	https://doi.org/10.1109/CEFC-LONG57069.2022.10107548
Publication status	Published - 26 Oct 2022
Externally published	Yes
Event	2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation-Long papers (CEFC-LONG) - Denver, CO, USA Duration: 24 Oct 2022 → 26 Oct 2022

Conference

Conference	2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation-Long papers (CEFC-LONG)
Period	24/10/22 → 26/10/22

Keywords

Solid modeling
Three-dimensional displays
Runtime
Mathematical models
Behavioral sciences
Finite element analysis
Eddy currents

Access to Document

10.1109/CEFC-LONG57069.2022.10107548

https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10107548

Cite this

Kvasnicka, S., Roppert, K., Riener, C., 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-Long papers (CEFC-LONG) (pp. 1-4). Article 10107548 https://doi.org/10.1109/CEFC-LONG57069.2022.10107548

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

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.",

keywords = "Solid modeling, Three-dimensional displays, Runtime, Mathematical models, Behavioral sciences, Finite element analysis, Eddy currents",

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

year = "2022",

month = oct,

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doi = "10.1109/CEFC-LONG57069.2022.10107548",

language = "English",

isbn = "979-8-3503-4641-1",

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

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

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Kvasnicka, S, Roppert, K, Riener, C, 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-Long papers (CEFC-LONG)., 10107548, pp. 1-4, 2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation-Long papers (CEFC-LONG), 24/10/22. 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. p. 1-4 10107548.

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

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T1 - Model order reduction techniques for linear differential-algebraic equations applied to semi-discretized eddy current model

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AU - Kaltenbacher, Manfred

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AB - 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.

KW - Solid modeling

KW - Three-dimensional displays

KW - Runtime

KW - Mathematical models

KW - Behavioral sciences

KW - Finite element analysis

KW - Eddy currents

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DO - 10.1109/CEFC-LONG57069.2022.10107548

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

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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

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