an investigation of dual stator winding induction machines

electromagnetic torque components that brought about by the presence of rotor
eccentricities.
4.2 Stator Inductances Calculation
The stator inductances considered here include the stator winding self-inductances
and the mutual inductances between the stator winding sets. Since the pole numbers of
the two stator winding sets are different, the mutual inductances between the two stator
winding sets are zero. The inductances calculated in this section are self and mutual
inductances of the ABC and XYZ winding sets.
4.2.1 Self Inductances of the ABC winding Set
The general expression to calculate the self-inductance of th
i winding is:
2π
1
Lii = µ 0rl
∫ ⋅ ni
i
g
where, ( θ )
i
0
( θ,
θ )
rm
( θ ) ⋅ N ( θ ) ⋅ dθ
n is the turn function of th
winding; g( θ )
θ, is the air gap function.
rm
i winding; ( θ )
154
i
(4.1)
N is the winding function of th
i
The clock diagram of the ABC winding set is shown in Figure 3.2 while the turn
function of the ABC winding set is given in Figure 3.3. For phase A, the self-inductance
is:
2π
1
LAA = µ 0rl
∫ ⋅ nA
A
g
0
( θ,
θ )
rm
( θ ) ⋅ N ( θ ) ⋅ dθ
(4.2)