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Finite Element Modeling of Power Cables using Coordinate Transformations

Numerical Analysis 2025-11-11 v1 Numerical Analysis

Abstract

Power cables have complex geometries in order to reduce their ac resistance. Although there are many different cable designs, most have in common that their inner conductors' cross-section is divided into several electrically insulated conductors, which are twisted over the cable's length (helicoidal symmetry). In previous works, we presented how to exploit this symmetry by means of dimensional reduction within the Hφ\mathbf{H}-\varphi formulation of the eddy current problem. Here, the dimensional reduction is based on a coordinate transformation from the Cartesian coordinate system to a helicoidal coordinate system. This contribution focuses on how this approach can be incorporated into the magnetic vector potential based Av\mathbf{A}-v formulation.

Keywords

Cite

@article{arxiv.2307.00814,
  title  = {Finite Element Modeling of Power Cables using Coordinate Transformations},
  author = {Albert Piwonski and Julien Dular and Rodrigo Silva Rezende and Rolf Schuhmann},
  journal= {arXiv preprint arXiv:2307.00814},
  year   = {2025}
}

Comments

arXiv admin note: text overlap with arXiv:2301.03370

R2 v1 2026-06-28T11:20:27.766Z