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IP1203PBF bảng dữ liệu(PDF) 14 Page - International Rectifier

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14
iP1203PbF
Control Loop Compensation
The iP1203PbF feedback control is based on single
loop voltage mode control principle.
The goal in the design of the compensator is to
achieve the highest unity gain (0 db) crossover fre-
quency with sufficient phase margin for the closed
loop transfer function. The LC filter of the power sup-
ply introduces a double pole with –40db/dec slope
and 180° phase lag. The 180° phase contribution from
the LC filter is the source of instabilty.
The resonant frequency of the LC filter is expressed
by equation (9):
(9)
The error amplifier of the iP1203PbF PWM controller
is transconductance amplifier, and its output is avail-
able for external compensation.
Two types of compensators are studied in this sec-
tion. The first one is called Type II and it is used to
compensate systems the ESR frequency f
esr (equa-
tion 7) of which is in the midfrequency range and Type
III that can be used for any type of output capacitors
and have a wide range of f
esr.
For output voltage settings less than 1.0V that use
low ESR ceramic capacitors, it is recommended that
the unity gain crossover frequency be set around
20kHz to maintain stable operation.
where, g
m is the transconductance of the error am-
plifier.
(12)
Follow the steps below to determine the feedback
loop compensation component values:
1. Select a zero db crossover frequency f
0 in the
range of 10% to 20% of the switching frequency f
sw.
)
(2
/
1
0
0
C
L
f
LC
×
=
π
Type II
From Fig.15 the transfer function H(s) of the error
amplifier is given by (10):
(10)
The term s represents the frequency dependence of
the transfer function.
The Type II controller introduces a gain and a zero
expressed by equations (11) and (12):
9
19
9
19
2
5
5
1
)
(
C
sR
C
sR
R
R
R
g
s
H
m
+
×
+
×
=
9
19
2
1
C
R
f
z
×
×
=
π
Magnitude(dB)
Frequency
FZ
H(s) dB
C6
R2
R5
E/A1
Vout
FB
V
CC
iP1203
C9
R19
(Optional)
REF
Fig. 15: Typical Type II Compensation and its Gain
Plot
(11)
19
2
5
5
)
(
R
R
R
R
g
s
H
m
×
+
×
=
iP1203PbF



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