Analytical calculation of magnetic field components in synchronous reluctance machine accounting for rotor flux barriers using combined conformal mapping and magnetic equivalent circuit methods

Despite many efforts being devoted to simplify the analysis of Synchronous Reluctance Motors (SynRM), the use of analytical methods to calculate torque ripple in these machines remains an ongoing challenge. In this paper, the electromagnetic characteristics of a SynRM are obtained using the combined conformal mapping (CM) and magnetic equivalent circuit (MEC) method. The proposed combination makes it possible to take into account the effects of stator slots and rotor flux barriers (FBs) in modeling of the radial and tangential field components. This is accomplished by introducing virtual currents in the CM model to account for rotor potential drops due to the presence of FBs. These potential drops are calculated using the MEC model. Once specified, the field components are used to calculate the SynRM torque with three FBs. Finally, the accuracy of the proposed method is validated by comparison with finite element analysis results.