Reduced Basis Finite Element Modeling of Electrical Machines with Multiconductor Windings

Antti Lehikoinen*, Antero Arkkio, Anouar Belahcen

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
16 Downloads (Pure)


Finite element (FE) analysis of electrical machines with multiconductor windings can be computationally costly. This paper proposes a solution to this problem, using a reduced basis approach. The field-circuit problem is first solved in a single slot only with a set of different boundary conditions. These precomputed solutions are then used as shape functions to approximate the solution in all slots of the full problem. A polynomial interpolation method is also proposed for coupling the slot domains with the rest of the geometry, even if the geometries or meshes do not fully conform on the boundary. The method is evaluated on several test problems both in the frequency and time domains. According to the simulations, accurate solutions are obtained, 54-90 times faster as compared with the established FE approach.

Original languageEnglish
Article number7907188
Pages (from-to)4252-4259
Number of pages8
JournalIEEE Transactions on Industry Applications
Issue number5
Publication statusPublished - 2017
MoE publication typeA1 Journal article-refereed


  • Eddy currents
  • finite element (FE) analysis
  • proximity effects
  • reduced order systems
  • time-domain homogenization
  • permanent-magneet machines
  • brushless AC machines
  • eddy-current loss
  • stator coils
  • losses
  • conductors
  • frequency


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