Mathematical modeling of a 12-phase flux-switching permanent-magnet machine for wind power generation

Lingyun Shao, Wei Hua, Ningyi Dai, Minghao Tong, Ming Cheng

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)


In this paper, a mathematical model of a 12-phase flux-switching permanent magnet (FSPM) machine designed for high-powerwind power generation is established and investigated. First, the winding inductances in both the stator reference frame and the dq-axes reference frame are analyzed. It should be noted that the characteristics of the 12-phase winding inductances are different from those of its three-phase counterpart. The largest mutual inductance is much smaller than half of the self-inductance, and most mutual inductances are negligible, which brings the benefit of improved magnetic isolation between phases and causes the 12th-order inductance matrix to be sparse. Thereafter, an accurate inductance model is established, taking account of the magnetic coupling between adjacent three-phase winding sets. Finally, a flux-linkage equation, a voltage equation, a power equation, and a torque equation are derived in sequence. The effectiveness of the proposed mathematical model is verified by comparing the theoretical results with 2-D finite-element-analysis-based predictions. The work in this paper lays an important foundation for the control strategy of the 12-phase FSPM machine.

Original languageEnglish
Article number7169610
Pages (from-to)504-516
Number of pages13
JournalIEEE Transactions on Industrial Electronics
Issue number1
Early online date28 Jul 2015
Publication statusPublished - 1 Jan 2016
Externally publishedYes


  • 12-phases
  • Flux-switching permanent magnet (FSPM)
  • Mathematical model
  • Wind power generation


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