Shark -new motor design concept for energy saving- applied to - VBN

2.2.5 Trapezoidal profile
32
Chapter 2 Linear analysis of the Shark switched Reluctance Motor
The inductance of the Shark SRM with trapezoidal profile is given by:
L
trap
=
where:
l
l
'
stk
'
stk
= l
0
= 2 ⋅ n
N
2
ph
g
µ ⋅ A
stk
t
⋅
⋅
trap
µ 0 ⋅ N
=
2
ph
⋅
' ( l ⋅l
)
g
stk
pol
lshk
( l + l ) = 2 ⋅ n ⋅ k ⋅ l + ⋅ ( 1−
2 ⋅ k)
top
2 ⋅ k +
1
t
( 1−
2 ⋅ k)
2
+
shk
2 ⋅ h
l
shk
shk
1
2
2
2
4 4 4 4
2
l
1
2
2
shk
+ h
4 4 4 4 43
(2.36)
(2.37)
with: ltop = k ⋅lshk
k ≤0.
5
(2.38)
From (2.36) and (2.37) the total inductance becomes:
L
trap
=
µ ⋅ N
0
2
⋅
l
stk
⋅
2⋅
k +
( 1−
2⋅
k)
g
2
+
2⋅
h
The inductance gain for the trapezoidal profile is given by:
l
shk
shk
2
⋅l
pol
(2.39)
2
Ltrap
2 2⋅
hshk
k trap = = 2⋅
k + ( 1−
2⋅
k)
+
(2.40)
L0
lshk