Magnetic Equivalent Circuit Modelling of Synchronous Reluctance Motors

Rekha Jayarajan, Nuwantha Fernando, Amin Mahmoudi, Nutkani Ullah

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This paper proposes a modelling technique for Synchronous Reluctance Motors (SynRMs) based on a generalized Magnetic Equivalent Circuit (MEC). The proposed model can be used in the design of any number of stator teeth, rotor poles, and rotor barrier combinations. This technique allows elimination of infeasible machine solutions during the initial machine sizing stage, resulting in a lower cohort of feasible machine solutions that can be further optimized using finite element methods. Therefore, saturation effects, however, are not considered in the modelling. This paper focuses on modelling a generic structure of the SynRM in modular form and is then extended to a full SynRM model. The proposed model can be iteratively used for any symmetrical rotor pole and stator teeth combination. The developed technique is applied to model a 4-pole, 36 slot SynRM as an example, and the implemented model is executed following a time stepping strategy. The motor characteristics such as flux distribution and torque of the developed SynRM model is compared with finite elemental analysis (FEA) simulation results.

Original languageEnglish
Article number4422
Number of pages13
Issue number12
Publication statusPublished - 17 Jun 2022


  • air-gap flux
  • electric machine modelling
  • finite element analysis
  • magnetic equivalent circuit
  • nodal analysis
  • permeance network
  • synchronous reluctance motor


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