Analysis and simulation of five-phase synchronous reluctance machines including third harmonic of airgap MMF
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In this paper, winding function method in conjunction with the coupled magnetic circuit approach are used to develop the dynamic equations of the five-phase synchronous reluctance machine in the natural frame of reference (a-b-c-d-e). The effect of third harmonic of airgap MMF is included in this development. A five-phase transformation from the (a-b-c-d-e) system to a (di-qi-ds-qs-n) system is introduced. This transformation removes the angular dependency of the inductances. Using this transformation, equations for a five-phase synchronous reluctance machine including the third harmonic of the airgap MMF were obtained. The resulting equations are compared with the equations in the natural (a-b-c-d-e) system. Simulation traces are used to confirm the validity of the model. Finally, the developed equations are compared to the experimental results and the similarities and discrepancies identified. Index Terms-Concentrated winding, synchronous reluctance motor, third harmonic. 1998 IEEE Publisher Item Identifier S 0093-9994(98)02168-9.