Efficient Finite-Element Computation of Circulating Currents in Thin Parallel Strands

Antti Lehikoinen*, Antero Arkkio

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

17 Citations (Scopus)


Electrical machines often utilize stranded parallel conductors to reduce the skin-effect losses. This practice can lead to uneven total current distribution among the strands, increasing the resistive losses. Direct finite-element (FE) analysis of circulating current problems can be computationally costly due to the large number of nodal unknowns in the FE mesh in the conductor domains. Methods to reduce the computational burden exist for special problems only. This paper proposes two efficient FE formulations to solve the circulating current problems with arbitrary winding configurations. According to simulations, the proposed methods yield reasonably accurate results significantly faster than the traditional brute-force approach.

Original languageEnglish
Article number7200304
JournalIEEE Transactions on Magnetics
Issue number3
Publication statusPublished - 1 Mar 2016
MoE publication typeA1 Journal article-refereed


  • Approximation methods
  • eddy currents
  • finite element analysis
  • proximity effects


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