
AC-to-DC Three-Phase/Switch/Level PWM Boost Converter 12-31
G s
V s
D s
I
C
s
q
q
D
D
V
V
S z
d
s d
s q
0
0
0
0
0
0
0
0 5
0
3 2
2
( )
( )
( )
( )
,
,
≡
′
= ⋅
−
′
=
′
=
=
=
ω ω
ss s s
p p p
3
1
2
2
2
3
3
+ + +ω ω ω
(12.97k)
G s
V s
D s
D
D
V
V
d
q
s d
s q
00
0
0
0
0
0
0
0( )
( )
( )
,
,
≡
′
=
′
=
′
=
=
=
(12.97l)
with
ω ω ω ω ω
z z p p z
S
R C
V
R C V R LI
1 3 1 4
0 0
2
0
2
0 0 0
2
0
2
2 2
2
6
= = = = =
+
ω ω
z
S
z
S
S
V
V LC
V
LI
4
0 0
5
6
= =
ω ω
ω
ω
ω
p
S S
p
V
LC V
L I
C V
R C
2 0
2
2
0 0
2
0
2 2
0 0
2
3
0
2
0 0
3
6 6
= + + =
It is on the basis of these transfer functions that the proposed control scheme, which ensures unity
power factor as well as DC voltage stabilization, will be designed.
Furthermore, the poles of the converter (which are the roots of the fourth-degree polynomi ...