Analytical model based on magnetic equivalent circuit for transverse-flux permanent-magnet machines

Ali A. Pourmoosa, Mojtaba Mirsalim, Amin Mahmoudi, Sadegh Vaez-Zadeh

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


This article proposes an analytical model based on magnetic equivalent circuit for a transverse-flux permanent magnet machine (TFPMM). Taking into account, the magnetic saturation in iron parts of the machine, the proposed method is capable of calculating the performance parameters of the machine such as flux density, flux linkage, cogging torque, back-EMF and its harmonic contents with high accuracy. In order to evaluate the accuracy of proposed model, performance parameters of a TFPMM obtained analytically are compared to those achieved by three-dimensional finite element method (3-D FEM). A preliminary optimisation based on the proposed analytical modelling is presented to show suitability of the approach in performance parameter optimisation of TFPMM. In comparison to 3-D FEM, the proposed model introduces less computational time, while the accuracy remains approximately the same. The results show that the proposed approach can be used during design stage and optimisation of the transverse flux machine as a simple, fast and accurate alternative to the precise but time consuming and tedious 3-D FEM.

Original languageEnglish
Article numberE12414
Number of pages19
JournalInternational Transactions on Electrical Energy Systems
Issue number7
Early online date1 Apr 2020
Publication statusPublished - 1 Jul 2020


  • analytical modelling
  • magnetic equivalent circuit
  • magnetic saturation
  • three-dimensional finite-element method
  • transverse-flux permanent-magnet machine


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