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arXiv · 2107.14604

Three-Dimensional Data-Driven Magnetostatic Field Computation using Real-World Measurement Data

Armin Galetzka·Dimitrios Loukrezis·Herbert De Gersem
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Abstract

This paper presents a practical case study of a data-driven magnetostatic finite element solver applied to a real-world three-dimensional problem. 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 the measurement data. The data-driven formulation results in a minimization problem with a Lagrange multiplier, where the sought solution must conform to Maxwell's equations while at the same time being closest to the available measurement data. The data-driven solver is applied to a three-dimensional model of an inductor excited by a DC-current. Numerical results for data sets of increasing cardinality verify that the data-driven solver recovers the conventional solution. Furthermore, this work concludes that the data-driven magnetostatic finite element solver is applicable to computationally demanding three-dimensional problems. Simulations with real world measurement data further show the practical usability of the solver.

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Armin Galetzka, Dimitrios Loukrezis, Herbert De Gersem. 2021-12-01. Three-Dimensional Data-Driven Magnetostatic Field Computation using Real-World Measurement Data. https://doi.org/10.1108/compel-06-2021-0219

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