Three-dimensional data-driven magnetostatic field computation using real-world measurement data
ISSN: 0332-1649
Article publication date: 1 December 2021
Issue publication date: 28 March 2022
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.
Keywords
Acknowledgements
This work has been supported by the DFG, Research Training Group 2128 “Accelerator Science and Technology for Energy Recovery Linacs.” The work of D. Loukrezis is further supported by the Bundesministerium für Bildung und Forschung via the research contract 05K19RDB.
Citation
Galetzka, A., Loukrezis, D. and De Gersem, H. (2022), "Three-dimensional data-driven magnetostatic field computation using real-world measurement data", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 41 No. 2, pp. 615-627. https://doi.org/10.1108/COMPEL-06-2021-0219
Publisher
:Emerald Publishing Limited
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