Quantitative analysis of contribution of airgap field harmonics to torque production in 3-phase 12-slot/8-pole doubly-salient synchronous reluctance machines

This paper adopts simple analytical modelling to investigate the contribution of airgap field harmonics to the torque production in some 3-phase, 12-slot/8-pole doubly-salient synchronous reluctance machines (DSRMs) with both conventional and mutually-coupled winding configurations. The airgap flux density has been calculated based on the analytically obtained magnetomotive force and doubly-salient airgap permeance for both the double layer and single layer DSRMs with different winding configurations. Then the contribution of different airgap field harmonics to average torque and torque ripple can be investigated and validated by direct finite element analyses. It has been found that in the DSRM, the 10th order harmonic in the double layer conventional (DLC), the 4th order harmonic in the double layer mutually-coupled (DLMC), the 7th order harmonic in the single layer conventional (SLC) and the 10th order harmonic in the single layer mutually-coupled (SLMC) have the highest contribution to positive average torque while with positive influence on torque ripple reduction. However, the 2nd order harmonic in the DLC, the 8th order harmonic in the DLMC, the 5th order harmonic in the SLC and the 2nd order harmonic in the SLMC machines mainly reduce the average torque.