Dresden 2026 – wissenschaftliches Programm

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AKPIK: Arbeitskreis Physik, moderne Informationstechnologie und Künstliche Intelligenz

AKPIK 5: Poster

AKPIK 5.14: Poster

Donnerstag, 12. März 2026, 15:00–16:30, P5

A Finite Element Homogenization Approach for Hollow Conductor Windings — •Shamim Aslam, Laura D'Angelo, and Herbert De Gersem — Institute for Accelerator Science and Electromagnetic Fields, TU Darmstadt, Germany

Future fast cycling synchrotrons require fast ramping dipole magnets. Due to high transients, eddy current and hysteresis effects become more pronounced in these magnets. Consequently, the associated thermal losses must be carefully considered in the overall magnet design. One key design solution to address this challenge is the use of hollow conductors. Hollow conductors facilitate the flow of electrical current while enabling efficient thermal cooling. Simulation-wise, hollow conductors are very challenging to compute as they impose a multi-scale problem, both geometrically and physically. The computational cost for multiscale geometries can be potentially reduced by using homogenization technique. We present an advanced homogenization technique for the simulation of hollow conductor windings, tackling this multi-scale problem while maintaining a sufficient accuracy. In this homogenization technique, the fine model containing hollow conductor windings replaced with a bulk region with equivalent material properties. As a validation of the homogenization technique, the method applied on a dipole magnet with 16 hollow conductors windings. This application example demonstrate the high accuracy, reduced computation time and easy implementation of our homogenization technique as compared with the brute force finite element simulations.

Keywords: hollow conductor windings; homogenization technique; finite element method; fast ramping magnets; future fast cycling synchrotrons