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

Institut für Grundlagen und Theorie der Elektrotechnik (4370)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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.

Originalsprache	englisch
Aufsatznummer	9360800
Seitenumfang	4
Fachzeitschrift	IEEE Transactions on Magnetics
Jahrgang	57
Ausgabenummer	6
DOIs	https://doi.org/10.1109/TMAG.2021.3059800
Publikationsstatus	Veröffentlicht - Juni 2021

ASJC Scopus subject areas

Elektronische, optische und magnetische Materialien
Elektrotechnik und Elektronik

Zugriff auf Dokument

10.1109/TMAG.2021.3059800

Andere Dateien und Links

http://www.scopus.com/inward/record.url?scp=85101777750&partnerID=8YFLogxK

Dieses zitieren

@article{51973a02f4db412cb0524367a36175d0,

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",

month = jun,

doi = "10.1109/TMAG.2021.3059800",

language = "English",

volume = "57",

journal = "IEEE Transactions on Magnetics",

issn = "0018-9464",

publisher = "Institute of Electrical and Electronics Engineers",

number = "6",

}

TY - JOUR

T1 - Proper Generalized Decomposition with Cauer Ladder Network Applied to Eddy Current Problems

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)

UR - http://www.scopus.com/inward/record.url?scp=85101777750&partnerID=8YFLogxK

U2 - 10.1109/TMAG.2021.3059800

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

ASJC Scopus subject areas

Zugriff auf Dokument

Andere Dateien und Links

Fingerprint

Dieses zitieren