1.4. DYNAMICS OF CCM CONVERTERS 27
figure (2)
bode(vo_vg),grid minor ,title('vo(s)/vg(s)')
figure (3)
bode(vo_d),grid minor ,title ('vo(s)/d(s)')
e following transfer functions are obtained after running the program
1
:
Qv
o
.s/
Q{
o
.s/
D :093519
s C 4:785 10
4
.s C 1163/.s
2
C 1396s C 6:882 10
7
/
.s
2
C 2239s C 4:7610
7
/.s
2
C 2767s C 1:02610
8
/
(1.11)
Qv
o
.s/
Qv
g
.s/
D 391:08
s C 4:785 10
4
.s
2
C 1473s C 7:7 10
7
/
.s
2
C 2239s C 4:7610
7
/.s
2
C 2767s C 1:02610
8
/
(1.12)
Qv
o
.s/
Q
d .s/
D 43775
s C 4:785 10
4
.s
2
C 1371s C 7:696 10
7
/
.s
2
C 2239s C 4:7610
7
/.s
2
C 2767s C 1:02610
8
/
: (1.13)
e Bode diagram of these transfer functions are shown in Figs. 1.22, 1.23, and 1.24.
1
Tilde (~) shows the small signal values. For instance: v
o
D V
o
C Qv
o
or i
o
D I
o
C Q{
o
. Capital letters (for instance V
o
or I
o
in v
o
D V
o
C Qv
o
or i
o
D I
o
C Q{
o
) shows the large signal values.
28 1. EXTRACTION OF SMALL-SIGNAL TRANSFER FUNCTIONS
10
0
-10
-20
-30
90
45
0
-45
-90
10
2
10
1
10
3
10
4
10
5
10
6
F
requency (rad/s)
Phases (deg) Magnitude (dB)
From:
To:
()/
()
Figure 1.22: Bode diagram of
Qv
o
.s/
Q{
o
.s/
D :093519
.
sC4:78510
4
/
.sC1163/.s
2
C1396sC6:88210
7
/
.s
2
C2239sC4:7610
7
/.s
2
C2767sC1:02610
8
/
.
1.4. DYNAMICS OF CCM CONVERTERS 29
0
-20
-40
-60
-80
0
-45
-90
-135
-180
10
3
10
4
10
5
10
6
F
requency (rad/s)
Phases (deg) Magnitude (dB)
From: ?̃
?
To: ?̃
?
?̃
?
(?)/ ?̃
?
(?)
Figure 1.23: Bode diagram of
Qv
o
.s/
Qv
g
.s/
D 391:08
.
sC4:78510
4
/
.s
2
C1473sC7:710
7
/
.s
2
C2239sC4:7610
7
/.s
2
C2767sC1:02610
8
/
.
30 1. EXTRACTION OF SMALL-SIGNAL TRANSFER FUNCTIONS
40
20
0
-20
-40
0
-45
-90
-135
-180
10
3
10
4
10
5
10
6
Frequency (rad/s)
Phases (deg) Magnitude (dB)
From: To:
()/()
Figure 1.24: Bode diagram of
Qv
o
.s/
Q
d.s/
D 43775
.
sC4:78510
4
/
.s
2
C1371sC7:69610
7
/
.s
2
C2239sC4:7610
7
/.s
2
C2767sC1:02610
8
/
.
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