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Three-dimensional data-driven magnetostatic field computation using real-world measurement data

Galetzka, Armin ; Loukrezis, Dimitrios ; De Gersem, Herbert (2022)
Three-dimensional data-driven magnetostatic field computation using real-world measurement data.
In: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 41 (2)
doi: 10.1108/COMPEL-06-2021-0219
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

Purpose: The purpose of this paper is to present the applicability of data-driven solvers to computationally demanding three-dimensional problems and their practical usability when using real-world measurement data. Design/methodology/approach: Instead of using a hard-coded phenomenological material model within the solver, the data-driven computing approach reformulates the boundary value problem such that the field solution is directly computed on raw measurement data. The data-driven formulation results in a double minimization problem based on Lagrange multipliers, where the sought solution must conform to Maxwell's equations while at the same time being as close as possible to the available measurement data. The data-driven solver is applied to a three-dimensional model of a direct current electromagnet. Findings: Numerical results for data sets of increasing cardinality verify that the data-driven solver recovers the conventional solution. Additionally, the practical usability of the solver is shown by using real-world measurement data. This work concludes that the data-driven magnetostatic finite element solver is applicable to computationally demanding three-dimensional problems, as well as in cases where a prescribed material model is not available. Originality/value: Although the mathematical derivation of the data-driven problem is well presented in the referenced papers, the application to computationally demanding real-world problems, including real measurement data and its rigorous discussion, is missing. The presented work closes this gap and shows the applicability of data-driven solvers to challenging, real-world test cases.

Typ des Eintrags: Artikel
Erschienen: 2022
Autor(en): Galetzka, Armin ; Loukrezis, Dimitrios ; De Gersem, Herbert
Art des Eintrags: Bibliographie
Titel: Three-dimensional data-driven magnetostatic field computation using real-world measurement data
Sprache: Englisch
Publikationsjahr: Januar 2022
Verlag: Emerald Publishing Limited
Titel der Zeitschrift, Zeitung oder Schriftenreihe: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
Jahrgang/Volume einer Zeitschrift: 41
(Heft-)Nummer: 2
DOI: 10.1108/COMPEL-06-2021-0219
Kurzbeschreibung (Abstract):

Purpose: The purpose of this paper is to present the applicability of data-driven solvers to computationally demanding three-dimensional problems and their practical usability when using real-world measurement data. Design/methodology/approach: Instead of using a hard-coded phenomenological material model within the solver, the data-driven computing approach reformulates the boundary value problem such that the field solution is directly computed on raw measurement data. The data-driven formulation results in a double minimization problem based on Lagrange multipliers, where the sought solution must conform to Maxwell's equations while at the same time being as close as possible to the available measurement data. The data-driven solver is applied to a three-dimensional model of a direct current electromagnet. Findings: Numerical results for data sets of increasing cardinality verify that the data-driven solver recovers the conventional solution. Additionally, the practical usability of the solver is shown by using real-world measurement data. This work concludes that the data-driven magnetostatic finite element solver is applicable to computationally demanding three-dimensional problems, as well as in cases where a prescribed material model is not available. Originality/value: Although the mathematical derivation of the data-driven problem is well presented in the referenced papers, the application to computationally demanding real-world problems, including real measurement data and its rigorous discussion, is missing. The presented work closes this gap and shows the applicability of data-driven solvers to challenging, real-world test cases.

Fachbereich(e)/-gebiet(e): 18 Fachbereich Elektrotechnik und Informationstechnik
18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Teilchenbeschleunigung und Theorie Elektromagnetische Felder > Theorie Elektromagnetischer Felder
18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Teilchenbeschleunigung und Theorie Elektromagnetische Felder
Hinterlegungsdatum: 20 Jun 2023 11:46
Letzte Änderung: 20 Jun 2023 11:46
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