Analytical Treatment of Hollow Toroid Flux Tubes
Systems and Control
2025-07-30 v1 Systems and Control
Abstract
Stray flux tubes around cylindrical poles are commonly modelled starting from the results for planar flux tubes using the circumference of the cylinder as depth. While this is a tried and tested approach, we here discuss analytical expressions using the actual axisymmetric geometry of a fraction of a hollow torus and compare their results to those of the accepted approach.
Cite
@article{arxiv.2507.21702,
title = {Analytical Treatment of Hollow Toroid Flux Tubes},
author = {Herbert Schmidt},
journal= {arXiv preprint arXiv:2507.21702},
year = {2025}
}
Comments
10 pages, 9 figures, 1 table, accepted for publication at the 16th International Modelica & fmi Conference