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AN3142 Datasheet(PDF) 29 Page - STMicroelectronics

Part # AN3142
Description  Solution for designing a 400 W fixed-off-time controlled
PDF  44 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN3142 Datasheet(HTML) 29 Page - STMicroelectronics

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AN3142
Designing a fixed-off-time PFC
Doc ID 17005 Rev 3
29/44
Equation 60
Where fswmin is the switching frequency on the top of the sinusoid of the input voltage at
VACmin = 90 VAC (Figure 18) and 220 ns is a corrector factor in order to consider the delay
between the ZCD and GD signal.
Considering the ratio between
Equation 60, Equation 59:
Equation 61
In the formula
Equation 59, Equation 60, the delay between the ZCD signal and the gate
drive signal is taken into account in order to increase the accuracy of the mathematical
model.
From the theory of the line modulation fixed off-time, TOFF is increasing with the line voltage
so that at maximum line voltage the condition TON>TONmin is always true [4]. This is
important in order to avoid line distortion [
5].
Figure 18.
Switching frequency function on the peak of the sinusoid input voltage
waveform and the corresponding off-time value
Now considering the two discharging resistors R and R0 of the circuit in
Figure 6, the ratio is
defined:
Equation 62
max
max
min
ON
max
OFF
k
1
k
T
)
VAC
(
T
=
s
1
.
6
ns
220
94
.
0
1
94
.
0
ns
450
)
VAC
(
T
max
OFF
µ
=
=
)
VAC
(
T
)
VAC
(
T
min
OFF
max
OFF
x =
ρ
63
.
1
s
76
.
3
s
1
.
6
x
=
µ
µ
=
ρ
R
R
R
K
0
1
+
=



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