Ha. Toliyat et al., ANALYSIS AND SIMULATION OF 5-PHASE SYNCHRONOUS RELUCTANCE MACHINES INCLUDING 3RD-HARMONIC OF AIRGAP MMF, IEEE transactions on industry applications, 34(2), 1998, pp. 332-339
In this paper, winding function method in conjunction with the coupled
magnetic circuit approach are used to develop the dynamic equations o
f the five-phase synchronous reluctance machine in the natural frame o
f 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 (d(1)-q(1)-d(3)-q(3)-n) system is introduced, Th
is transformation removes the angular dependency of the inductances, U
sing this transformation, equations for a five-phase synchronous reluc
tance machine including the third harmonic of the airgap MMF were obta
ined, The resulting equations are compared with the equations in the n
atural (a-b-c-d-e) system. Simulation traces are used to confirm the v
alidity of the model, Finally, the developed equations are compared to
the experimental results and the similarities and discrepancies ident
ified.