
12-26 Power Electronics and Motor Drives
i
d I t t
d I
S
+
=
′
+ − −
< <
′
*
*
cos cos ,
2
2
2 2
4
3
0
3
2
2
0 0
ˆ
ˆ
φ ω φ
π
ω
π
SS
S
t t
d I t
*
cos cos( )
*
cos cos
φ ω φ
π
ω
π
φ ω φ
− −
< <
′
+ − −
2
3
2
3
2
2
2 2
2
0 0
0
ˆ
ππ π
ω π
φ ω φ
π
3
2
3
2
2
2
4
3
0
0
< <
′
− − −
t
d I t
S
ˆ
*
cos cos
< <
′
+ −
< <
′
π ω
π
φ ω φ
π
ω
π
0
0 0
4
3
2
2
2 2
4
3
5
3
2
2
t
d I t t
S
ˆ
ˆ
*
cos cos( )
dd I t t
S
*
cos cosφ ω φ
π π
ω π− − −
< <
2
2
3
5
3
2
0 0
(12.83)
12.4.4 Design Criteria
12.4.4.1 Design of the Inductors
In order to ensure current wave-shaping in steady-state regime, the common value of mains series
inductors have to satisfy the following conditions, as described in Figure 12.15:
v