Dynamic modeling of a five-phase induction machine with a combined star/pentagon stator winding connection

Ayman S. Abdel-Khalik*, Shehab Ahmed, Ahmed M. Massoud

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


The combined star/pentagon connection of five-phase induction machines was recently demonstrated as a promising compromise between conventional star and pentagon connections. It combines the advantages of both star and pentagon connections without any additional hardware for winding changeover. This connection is based on two five-phase single layer concentrated winding sets shifted in space by π/10 and connected in a combined star/pentagon configuration to provide five-phase terminals. Since the combined star/pentagon connected induction machine is fundamentally an asymmetrical ten-phase machine, the machine mathematical model possesses additional subspaces, which affect the behavior of the machine especially under open line conditions. Starting from the conventional five-phase and m -bar squirrel cage induction machine model, the phase-variable model of the combined star/pentagon connection is introduced in this paper. The corresponding equivalent dq model with five decoupled subspaces, which can account for air gap harmonics up to ninth order, is then derived. Finally, it was shown that the machine model could be simply approximated with only two subspaces similar to a conventional five-phase induction machine with sinusoidally distributed winding, where the flux produced by the nonfundamental subspace could be neglected. The model is verified using a 1 kW prototype five-phase induction machine.

Original languageEnglish (US)
Article number7467504
Pages (from-to)1645-1656
Number of pages12
JournalIEEE Transactions on Energy Conversion
Issue number4
StatePublished - Dec 2016
Externally publishedYes


  • Dynamic model
  • dq model
  • fault tolerant
  • five-phase machine
  • induction machine
  • phase-variable model
  • star/pentagon connection
  • stator winding configuration

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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