(vii) The

magnetomotive force created by each phase of the two frames is sinusoidal distribution.

Variation of

magnetomotive force in the half-core window area

MMF:

Magnetomotive force provided by PM, A * turn [R.sub.l]: Magnetic reluctance of the rod, H [R.sub.g]: Magnetic reluctance of the air gap from GMM bar to wall, H [R.sub.w]: Magnetic reluctance of wall, H [phi]: Magnetic fluxes, wb A: Magnetic vector potential, wb/m [phi]: Magnetic scalar potential, wb/m [H.sub.i]: Magnetic field in each element, A/m [H.sub.avg]: Average magnetic field, A/m [L.sub.GMM]: Total length of GMM patches, m [L.sub.PM]: Total length of PM patches, m [lambda]: Magnetostriction of GMM [[lambda].sub.s]: Saturated magnetostriction of GMM [M.sub.s]: Saturated magnetization of GMM, A/m M: Magnetization of GMM, A/m [A.sub.GMM]: Section area of GMM rod, [m.sup.2].

Magnetomotive force (MMF) distribution in the air gap produced by a current [i.sub.a] flowing in any coil a (stator or rotor windings) is as follows:

For this case, 260 Amp-turns constitute the coil

magnetomotive force. The simulation results are shown in Figure 3, which is a cross-section of the B-field strength in the plane of the gap.

Where, [N.sub.f] and [N.sub.s] are effective turns of the field windings and the stator windings, respectively; [F.sub.f] is the

magnetomotive force; R is the reluctance of the flux line direction and M is the mutual induction between rotor and stator windings [16].

Despite the differences of poles number, slots number, and the coiling form of the 3-phase AC motor, the physical model of stator can be described as in Figure 1 for the symmetry of the magnetic circuit and the

magnetomotive force (MMF) generated by powered winding.

The fundamental harmonic of

magnetomotive force (mmf) created by each rotor bar is:

and the calculated

magnetomotive force of permanent magnets by rated temperature

The value of the

magnetomotive force (MMF) [F.sub.[delta]] of the stator winding, which causes the value of magnetic induction in the air gap depends on the value of the stator current I flowing through the N turns of the coils of the stator winding.

The leakage inductance is proportional to

magnetomotive force between the windings that acts in air gap of core [5] (Fig.

Specifically, due to the slot harmonic effect on the magnetic pull [27] and the elliptical rotating

magnetomotive force caused by the asymmetric 3-phase currents [28], the stator will be dragged into an ellipse form after a long period performance [27,28].