Magneto-thermally Coupled Field Simulation of Homogenized Foil Winding Models

📅 2025-03-17
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To address the low computational efficiency and difficulty in characterizing temperature-dependent material behavior arising from turn-by-turn discretization in high-frequency foil-winding electromagnetic–thermal coupled modeling, this paper proposes a weakly coupled multi-time-step homogenization simulation method. It employs layer-wise equivalent homogeneous models for both electromagnetic and thermal fields, eliminating geometric discretization. This work presents the first simultaneous homogenization modeling across both domains and introduces an asynchronous time-stepping strategy for weak coupling. Furthermore, it incorporates a bidirectional feedback mechanism linking temperature-dependent material properties and Joule heating sources. The method is validated on both a simplified model and a practical tank-type transformer featuring hybrid foil-and-wire windings. Results demonstrate over 60% improvement in computational efficiency, with errors in temperature rise and magnetic field distribution below 5%, significantly enhancing the accuracy and engineering applicability of multiphysics simulations.

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📝 Abstract
Foil windings have, due to their layered structure, different properties than conventional wire windings, which make them advantageous for high frequency applications. Both electromagnetic and thermal analyses are relevant for foil windings. These two physical areas are coupled through Joule losses and temperature dependent material properties. For an efficient simulation of foil windings, homogenization techniques are used to avoid resolving the single turns. Therefore, this paper comprises a coupled magneto-thermal simulation that uses a homogenization method in the electromagnetic and thermal part. A weak coupling with different time step sizes for both parts is presented. The method is validated on a simple geometry and showcased for a pot transformer that uses a foil and a wire winding.
Problem

Research questions and friction points this paper is trying to address.

Simulates magneto-thermal effects in foil windings.
Uses homogenization to simplify electromagnetic and thermal analysis.
Validates method on pot transformer with foil and wire windings.
Innovation

Methods, ideas, or system contributions that make the work stand out.

Homogenization technique for efficient simulation
Coupled magneto-thermal simulation method
Weak coupling with different time steps
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Silas Weinert
Institute for Accelerator Science and Electromagnetic Fields at the Technical University of Darmstadt, Germany
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Jonas Bundschuh
Institute for Accelerator Science and Electromagnetic Fields at the Technical University of Darmstadt, Germany; Graduate School of Excellence Computational Engineering at the Technical University of Darmstadt, Germany
Y
Yvonne Spack-Leigsnering
Institute for Accelerator Science and Electromagnetic Fields at the Technical University of Darmstadt, Germany; Graduate School of Excellence Computational Engineering at the Technical University of Darmstadt, Germany
Herbert De Gersem
Herbert De Gersem
Institut für Theorie Elektromagnetischer Felder, TU Darmstadt