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NCP1601A, NCP1601B
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17
Appendix I  Summary of Equations in NCP1601 Boost PFC
Description
Critical Mode (CRM)
Discontinuous Mode (DCM)
Boost converter
V
out
V
in
=
t
1
+ t
2
t
2
V
out
V
in
=
t
1
+ t
2
t
2
?/DIV>
V
out
 V
in
V
out
=
t
1
t
1
+ t
2
?/DIV>
V
out
 V
in
V
out
=
t
1
t
1
+ t
2
Input current averaged by
filter capacitor
I
in
=
I
pk
2
I
in
=
t
1
+ t
2
T
I
pk
2
Voltage for on time V
ton
V
ton
= V
control
V
ton
=
T
t
1
+ t
2
V
control
MOSFET on- -time t
1
?SPAN class="pst NCP1601BDR2G_2636593_4"> t
1
is constant for unity PFC
?SPAN class="pst NCP1601BDR2G_2636593_4"> V
control
is constant for unity PFC
t
1
=
C
ramp  control
I
ch
t
1
=
LI
pk
V
in
,or
?SPAN class="pst NCP1601BDR2G_2636593_4"> t
1
(t
1
+ t
2
) is constant for unity PFC
?SPAN class="pst NCP1601BDR2G_2636593_4"> V
control
is constant for unity PFC
t
1
=
V
out
 V
in
V
out
T
C
ramp
V
control
I
ch
R
t
1
=
LI
pk
V
in
,or
Switching period
t
1
+ t
2
=
V
out
V
out
 V
in
C
ramp
V
control
I
ch
,or
t
1
+ t
2
=
V
out
V
out
 V
in
LI
pk
V
in
t
1
+ t
2
=
T
t
1
C
ramp
V
control
I
ch
,or
t
1
+ t
2
=
V
out
V
out
 V
in
T
C
ramp
V
control
I
ch
R
Minimum Inductor for
CRM
L > L
(CRM)
=
V
out
 V
in
V
out
V
in
I
pk
1
f
Same as CRM
Input impedance
Z
in
=
2LI
ch
C
ramp
V
control
Same as CRM
Input power
P
in
=
V
ac
2
C
ramp
V
control
2LI
ch
Same as CRM
Output power
P
out
= 稰
in
=
?/DIV>
V
ac
2
C
ramp
V
control
2LI
ch
Same as CRM
Maximum input power
when V
control
= 1 V
P
in_max
=
V
ac
2
C
ramp
2LI
ch
Same as CRM
Minimum ramp capacitor
when V
control
= 1 V
C
ramp
>
P
in
V
ac
2
?2LI
ch
Same as CRM
Control voltage V
control
V
ctrl
=
2LI
ch
P
in
C
ramp
V
ac
2
Same as CRM
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