an investigation of dual stator winding induction machines

N
A
∞
2π
Ai
'
( ) = nA
( θ ) − nA
( θ ) − ∑ ∫ nA
( θ ) cos(
iθ
− iθ
rm + iγ
)
θ dθ
(3.29)
2π
A
i=
1
0
0
3.4 Stator Inductances Calculation
The expression for winding inductances is calculated using the winding function and
the turn function of the windings. If the winding function of th
i winding is expressed as
i
( θ )
N , where θ is the angle around the stator, then from (3.22) the magnetic field around
the stator can be expressed as:
( θ )
Ni
( θ )
ii
( θ,
θ )
H i = ⋅
g
where, g( θ )
winding.
rm
θ, rm is the air gap function and i
Then the flux density in the air gap can be written as:
i
( θ )
Ni
( θ )
ii
( θ,
θ )
B = µ ⋅
96
(3.30)
i is the current flowing through the th
i
0 (3.31)
g rm
Assume the mutual inductance between th
i winding and
and the turn function of
th
j winding is j ( θ )
due to the th
i winding current i i can be expressed as:
2π
1
rl ⋅ n j i
( θ,
θ rm )
0
λ ji = µ 0 ⋅ii
⋅ ∫ g
( θ ) ⋅ N ( θ ) ⋅ dθ
th
j winding is the objective
n . The flux linkage induced in
th
j winding
(3.32)
where, r is the mean value of radius of the air gap middle line and l is the effective
length of the stator core.