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APW7158 Datasheet(PDF) 16 Page - Anpec Electronics Coropration

Part # APW7158
Description  Dual Synchronous Buck PWM Controllers
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Manufacturer  ANPEC [Anpec Electronics Coropration]
Direct Link  http://www.anpec.com.tw
Logo ANPEC - Anpec Electronics Coropration

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Copyright
© ANPEC Electronics Corp.
Rev. A.2 - Aug., 2009
APW7158
www.anpec.com.tw
16
Application Information
PWM Compensation
The output LC filter of a step down converter introduces a
double pole, which contributes with –40dB/decade gain
slope and 180 degrees phase shift in the control loop. A
compensation network between V
COMP, VFB and VOUT should
be added.
The compensation network is shown in Fig. 8. The out-
put LC filter consists of the output inductor and output
capacitors. The transfer function of the LC filter is given
by:
1
C
ESR
s
C
L
s
C
ESR
s
1
GAIN
OUT
OUT
2
OUT
LC
+
×
×
+
×
×
×
×
+
=
The poles and zero of this transfer function are:
OUT
LC
C
L
2
1
F
×
×
π
×
=
OUT
ESR
C
ESR
2
1
F
×
×
π
×
=
The FLC is the double poles of the LC filter, and FESR is
the zero introduced by the ESR of the output capacitor.
V
PHASE
VOUT
L
COUT
ESR
Figure 5. The Output LC Filter
Gain
FESR
FLC
Frequency
-40dB/dec
-20dB/dec
Figure 6. The LC Filter Gain & Frequency
The PWM modulator is shown in Figure. 7. The input is
the output of the error amplifier and the output is the
PHASE node. The transfer function of the PWM modula-
tor is given by:
OSC
IN
PWM
V
V
GAIN
=
VOSC
PWM
Comparator
Driver
Driver
Output
of Error
Amplifier
VIN
V
PHASE
Figure 7. The PWM Modulator
The compensation circuit is shown in Figure 8. It pro-
vides a close loop transfer function with the highest zero
crossover frequency and sufficient phase margin.
The transfer function of error amplifier is given by:


+


+
=
=
3
sC
1
3
R
//
1
R
2
sC
1
2
R
//
1
sC
1
V
V
GAIN
OUT
COMP
AMP


×
+
×


×
×
+
+


×
+
+
×


×
+
×
×
×
+
=
3
C
3
R
1
s
2
C
1
C
2
R
2
C
1
C
s
s
3
C
)
3
R
1
R
(
1
s
2
C
2
R
1
s
1
C
3
R
1
R
3
R
1
R
The poles and zeros of the transfer function are:
2
C
2
R
2
1
F
1
Z
×
×
π
×
=
3
C
)
3
R
1
R
(
2
1
F
2
Z
×
+
×
π
×
=


+
×
×
×
π
×
=
2
C
1
C
2
C
1
C
2
R
2
1
F
1
P
3
C
3
R
2
1
F
2
P
×
×
π
×
=


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