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SKM 2023 – wissenschaftliches Programm

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MA: Fachverband Magnetismus

MA 23: Poster Magnetism I

MA 23.46: Poster

Dienstag, 28. März 2023, 17:00–19:00, P1

Calculation of magnetic fields, forces and velocities by means of conductor trace segmentation using the example of the magnetic on-off ratchet. — •Torben Tappe, Inga Ennen, and Andreas Hütten — Bielefeld University, Bielefeld, Germany

For the evaluation of an optimal combination of ratchet geometry and particles, the calculation of the magnetic fields is essential, since in this way the acting forces on the particles and the resulting velocity of these can be determined prior to manufacturing. While the finite element method (FEM) is a standard tool for the calculation of magnetic fields of systems, in this work the trace segmentation is used for the modeling of the magnetic field occurring in the ratchet and is compared to the results of the FEM. Trace segmentation is based on the superposition principle, in which the magnetic field of a trace is approximated by many individual straight conductors whose magnetic fields are known. To evaluate the results of this method, various examples, ranging from just one trace to modeling an entire ratchet, were used and compared to Finite Element Method Magnetics (FEMM) calculations. These comparisons showed that the two methods, with a mean squared error of 2·10−17 T to 3·10−16 T, give the same results. This demonstrated that the trace segmentation is capable of reproducing the results of the standard tool FEM and therefore it is suitable for modeling a magnetic on-off ratchet.

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