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FAN9611 Datenblatt(PDF) 11 Page - Fairchild Semiconductor

Teilenummer FAN9611
Bauteilbeschribung  Design Consideration for Interleaved Boundary Conduction Mode PFC
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Hersteller  FAIRCHILD [Fairchild Semiconductor]
Direct Link  http://www.fairchildsemi.com
Logo FAIRCHILD - Fairchild Semiconductor

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AN-6086
© 2009 Fairchild Semiconductor Corporation
www.fairchildsemi.com
Rev. 1.0.4 • 4/22/10
11
Figure 18. Control-to-Output Transfer Function
Proportional and integration (PI) control with high
frequency pole is typically used for compensation, as
shown in Figure 19. The compensation zero (fCZ)
introduces
phase
boost,
while
the
high
frequency
compensation pole (fCP) attenuates the switching ripple.
The transfer function of the compensation network is
obtained as:
1
ˆ
2
2
ˆ
1
2
COMP
CZ
I
OUT
CP
s
vf
f
s
vs
f
π
π
π
+
=⋅
+
(30)
where
,
,
,
380
/
,
2
1
,
2
1
2
I
OUT
COMP LF
CZ
COMP
COMP LF
CP
COMP
COMP HF
AV
f
VC
f
RC
f
RC
μ
π
π
π
=⋅
=
⋅⋅
=
⋅⋅
,
1
2
CZ
COMP
COMP LF
f
RC
π
=
^
^
COMP
OUT
v
v
,
1
2
CP
COMP
COMP HF
f
RC
π
=
,,
10
COMP HF
COMP LF
CC
,
2
12
SS REF
FB
FB
FB
OUT
V
R
RR
V
=
+
Figure 19. Compensation Network
The procedure to design the feedback loop is as follows:
(a) Determine
the
crossover
frequency (fC) around
1/10~1/5 of line frequency. Since the control-to-output
transfer function of power stage has -20dB/dec slope
and -90
o phase at the crossover frequency, as shown in
Figure 20; it is required to place the zero of the
compensation network (fCZ) around the crossover
frequency so that 45
° phase margin is obtained. Then,
the capacitor CCOMP,LF is determined as:
,
2
80
/
3
4.1
(2
)
OUT
MAX
COMP LF
OUT
OUT
C
AV I
K
C
V
Cf
μ
π
⋅⋅
=⋅
⋅⋅
(31)
To place the compensation zero at the crossover frequency,
the compensation resistor is obtained as:
,
1
2
COMP
CCOMP LF
R
fC
π
=
⋅⋅
(32)
(b) Place compensator high-frequency pole (fCP) at least a
decade higher than fC to ensure that it does not
interfere with the phase margin of the voltage
regulation loop at its crossover frequency. It should
also be sufficiently lower than the switching frequency
of the converter so noise can be effectively attenuated.
Then, the capacitor CCOMP,HF is determined as:
,
1
2
COMP HF
CP
COMP
C
fR
π
=
⋅⋅
(33)
Figure 20. Compensation Network Design


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