NCP1654
http://onsemi.com
15
R
boL
is low side resistor of the dividing resistors between
V
in
and BO pin.
R
boU
is upper side resistor of the dividing resistors between
V
in
and BO pin.
Figure 37. Current Sensing
Gnd
+
R
SENSE
I
L
R
CS
I
CS
CS
V
CS
NCP1654
+
I
L
Refer to Figure 37, sense current I
cs
is proportional to the
inductor current I
L
as described in (Equation 11). I
L
consists of the highfrequency component (that depends on
di/dt or inductor L) and lowfrequency component (that is
I
L50
).
(eq. 11)
I
cs
+
R
SENSE
R
CS
I
L
where
R
SENSE
is the sense resistor to sense I
L
.
R
CS
is the offset resistor between CS pin and R
SENSE
.
Figure 38. V
control
LowPass Filtering
+
-
V
REF
OTA
6
5
V
control
?0 mA
V
out
+
+
V
CONTROL(min)
To Vm Pin
V
fb
R
Z
C
Z
C
P
R
fbL
R
fbU
V
in
Refer to Figure 38, the Operational Transconductance
Amplifier (OTA) senses V
out
via the feedback resistor
dividers, R
fbU
and R
fbL
. The OTA constructs a control
voltage, V
control
, depending on the output power and hence
V
out
.   The   operating   range   of   V
control
  is   from
V
CONTROL(min)
to V
CONTROL(max)
. The signal used for
PFC duty modulation is after decreasing a offset voltage,
V
CONTROL(min)
, i.e. V
control
V
CONTROL(min)
.
This control current I
control
is a roughly constant current
that comes from the PFC output voltage V
out
that is a slowly
varying   signal.   The   bandwidth   of   I
control
  can   be
additionally limited by inserting the external type2
compensation components (that are R
Z
, C
Z
, and C
P
as
shown in Figure 38). It is recommended to limit f
control
, that
is the bandwidth of V
control
(or I
control
), below 20 Hz
typically to achieve power factor correction purpose.
The transformer of V
out
to V
control
is as described in
(Equation 12) if C
Z
is >> C
P
. G
EA
is the error amplifier gain.
V
control
V
out
+
R
fbL
@ G
EA
R
Z
R
fbL
) R
fbU
@
1 ) sR
Z
C
Z
sR
Z
C
Z
(1 ) sR
Z
C
P
)
(eq. 12)
From (Equation 7) (Equation 11), the input impedance
Z
in
is reformulated in (Equation 13).
Z
in
+
2
R
M
R
SENSE
V
out
V
ac
K
BO
I
L
2pR
CS
@ (V
control
* V
CONTROL(min)
) @ V
REF
I
L*50
(eq. 13)
When I
L
is equal to I
L50
, (Equation 13) is reformulated
in (Equation 14)
Z
in
+
2
R
M
R
SENSE
V
out
V
ac
K
BO
2pR
CS
@ (V
control
* V
CONTROL(min)
) @ V
REF
(eq. 14)
The multiplier capacitor C
M
is the one to filter the
highfrequency component of the multiplier voltage V
m
.
The highfrequency component is basically coming from
the inductor current I
L
. On the other hand, the filter
capacitor C
filter
similarly removes the highfrequency
component of inductor current I
L
. If the capacitors C
M
and
C
filter
match with each other in terms of filtering capability,
I
L
becomes I
L50
. Input impedance Z
in
is roughly constant
over the bandwidth of 50 or 60 Hz and power factor is
corrected.