Monte Carlo Analysis of Circulating Currents in Random-Wound Electrical Machines

Antti Lehikoinen*, Nicola Chiodetto, Erkki Lantto, Antero Arkkio, Anouar Belahcen

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

22 Citations (Scopus)


Electrical machines with stranded random windings often suffer from considerable circulating current losses. These losses have been poorly studied because of the difficulty and computational cost of modeling stranded windings, and the stochastic nature of the problem due to the uncertain positions of the strands. This paper proposes two methods to model random stranded windings of arbitrary complexity. First, a circuit model considering the entire main flux path is presented, and some practical implementation considerations are discussed. Second, a computationally efficient finite-element approach based on non-conforming meshing is presented. Finally, a method is proposed to model the random packing process of strands within a slot, without any remeshing or inductance recalculation required. The proposed methods are then compared with special no-rotor measurement data of a large number of high-speed induction machines, and good agreement is observed.

Original languageEnglish
Article number 8205112
JournalIEEE Transactions on Magnetics
Issue number8
Publication statusPublished - 1 Aug 2016
MoE publication typeA1 Journal article-refereed


  • Approximation methods
  • circulating currents
  • eddy currents
  • proximity effects
  • stochastic analysis


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