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參數(shù)資料
| 型號： | RT9206PS |
| 廠商： | Richtek Technology Corporation |
| 英文描述： | High Efficiency, Synchronous Buck with Dual Linear Controllers |
| 中文描述： | 高效率，雙直線同步降壓控制器 |
| 文件頁數(shù)： | 17/21頁 |
| 文件大小： | 351K |
| 代理商： | RT9206PS |
RT9206
DS9206-11 March 2007
www.richtek.com
17
Figure 5. The simplified diagram for synchronous Buck
converter and control loop.
From control system point of view, the block diagram of
Figure 5 is shown in Figure 6.
First, deriving the accurate small-signal models of power
stage, the equation (18) is the transfer function of
v
O
(s)/d(s)
, which be obtained by space averaging
technique.
Figure 6. The control block diagram of synchronous
Buck converter
Next, deriving the transfer function
d(s)/v
C
(s)
of the direct
duty ratio pulse-width modulator (PWM Generator). The
transfer function T
m
(s) of the modulator is given by
T
V
C(S)
where, V
r
is the amplitude of ramp-waveform which is listed
in datasheet.
For simplification, the transfer function of PWM generator
and Buck converter can is combined. The resulting is shown
in equation (20)
(20)
The transfer function of Equation (20) is a second order
system and Bode plot is shown in Figure 7.
Figure 7. The Bode plot of Buck power stage
In Figure 7, the resonance of the output LC filter produces
a double pole and
40dB/decade slop. The resonance
frequency is expressed as follows :
1
f
p
VIN/Vr
Gain
Phase
f
f
fp
fz
0
°
-180
°
-90
°
(Hz) (21)
(18)
r
C
+
S1
S2
V
IN
+ V
L
-
L
C
OUT
R
L
I
OUT
+
i
L
+
-
+
-
Rb
Ra
Rc1
Cc1
Cc2
V
C
d
gm
PWM
Generator
V
REF
Compensator
V
OUT
-
i
C
+
V
OR
-
+
V
OC
i
S1
i
S2
Sensor
Gain
Gp(s)
C(s)
1/Vr
V
REF
-
+
Compensator
PWM
Generator
BUCK
Converter
Vc(s)
d(s)
V
OUT
G(S)
Sensor Gain
Rb
Ra+Rb
H (s)
IN
O
L
O
2
O
(S)
OUT(S)
d
P(S)
x V
1
C
rc x
+
R
L
S(
+
C
x
L
x
S
S
x
C
rc x
+
1
V
G
+
=
=
Vr
V
x
1
C
rc x
+
R
L
S(
x
C
x
S
S
x
C
rc x
+
1
V
V
G
IN
O
L
O
2
O
C(S)
OUT(S)
(S)
+
+
=
=
Vr
(S)
m(S)
=
=
O
P
C
x
L
x
2
=
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