Proper Generalized Decomposition with Cauer Ladder Network Applied to Eddy Current Problems

Niels Sören Köster; Oliver König; Oszkar Biro

doi:10.1109/TMAG.2021.3059800

Proper Generalized Decomposition with Cauer Ladder Network Applied to Eddy Current Problems

Niels Sören Köster, Oliver König, Oszkar Biro

Institute of Fundamentals and Theory in Electrical Engineering (4370)

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

Abstract

A model order reduction method to recursively compute a Cauer ladder network from static finite-element solutions is extended for use with a double vector potential formulation, which decreases difficulties in solving the finite-element equation system. In addition, the connection between the boundary condition and the viability of the solution is demonstrated. Finally, the method is applied to two examples.

Original language	English
Article number	9360800
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	57
Issue number	6
DOIs	https://doi.org/10.1109/TMAG.2021.3059800
Publication status	Published - Jun 2021

Keywords

Boundary conditions
Cauer ladder networks
Conductors
Eddy currents
eddy currents
Electric potential
finite element
Magnetic domains
Magnetic separation
Mathematical model
model order reduction
model order reduction (MOR)
Cauer ladder networks (CLNs)

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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10.1109/TMAG.2021.3059800

Cite this

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title = "Proper Generalized Decomposition with Cauer Ladder Network Applied to Eddy Current Problems",

abstract = "A model order reduction method to recursively compute a Cauer ladder network from static finite-element solutions is extended for use with a double vector potential formulation, which decreases difficulties in solving the finite-element equation system. In addition, the connection between the boundary condition and the viability of the solution is demonstrated. Finally, the method is applied to two examples.",

keywords = "Boundary conditions, Cauer ladder networks, Conductors, Eddy currents, eddy currents, Electric potential, finite element, Magnetic domains, Magnetic separation, Mathematical model, model order reduction, model order reduction (MOR), Cauer ladder networks (CLNs)",

author = "K{\"o}ster, {Niels S{\"o}ren} and Oliver K{\"o}nig and Oszkar Biro",

note = "Publisher Copyright: {\textcopyright} 1965-2012 IEEE.",

year = "2021",

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doi = "10.1109/TMAG.2021.3059800",

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AU - Köster, Niels Sören

AU - König, Oliver

AU - Biro, Oszkar

PY - 2021/6

Y1 - 2021/6

N2 - A model order reduction method to recursively compute a Cauer ladder network from static finite-element solutions is extended for use with a double vector potential formulation, which decreases difficulties in solving the finite-element equation system. In addition, the connection between the boundary condition and the viability of the solution is demonstrated. Finally, the method is applied to two examples.

AB - A model order reduction method to recursively compute a Cauer ladder network from static finite-element solutions is extended for use with a double vector potential formulation, which decreases difficulties in solving the finite-element equation system. In addition, the connection between the boundary condition and the viability of the solution is demonstrated. Finally, the method is applied to two examples.

KW - Boundary conditions

KW - Cauer ladder networks

KW - Conductors

KW - Eddy currents

KW - eddy currents

KW - Electric potential

KW - finite element

KW - Magnetic domains

KW - Magnetic separation

KW - Mathematical model

KW - model order reduction

KW - model order reduction (MOR)

KW - Cauer ladder networks (CLNs)

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DO - 10.1109/TMAG.2021.3059800

M3 - Article

SN - 0018-9464

VL - 57

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 6

M1 - 9360800

ER -

Proper Generalized Decomposition with Cauer Ladder Network Applied to Eddy Current Problems

Abstract

Keywords

ASJC Scopus subject areas

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