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AN3009 датащи(PDF) 13 Page - STMicroelectronics

номер детали AN3009
подробное описание детали  How to design a transition mode PFC pre-regulator using the L6564
PDF  36 Pages
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производитель  STMICROELECTRONICS [STMicroelectronics]
домашняя страница  http://www.st.com
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AN3009 датащи(HTML) 13 Page - STMicroelectronics

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AN3009
Designing a transition mode PFC
Doc ID 16032 Rev 4
13/36
Equation 16
A 20% tolerance on the electrolytic capacitors has to be considered to obtain the correct
dimensioning. As per
Equation 14, we have selected for this application a capacitor Co
equal to 47 µF (450 V) so as to maintain a hold-up capability for 12 ms. The actual output
voltage ripple with this capacitor is also calculated. In detail:
Equation 17
As expected the ripple variation on the output is:
Equation 18
3.3.4
Boost inductor
The boost inductor determines the working frequency of the converter, thus it is usually
calculated so that the minimum switching frequency is greater than the maximum frequency
of the L6564’s internal starter (typically 150 µs) to ensure correct transition mode operation.
Assuming a unity power factor, it is possible to write:
Equation 19
Equation 19 shows that the ON time does not depend on the angle of the mains phase, but
is constant over the entire mains cycle.
Equation 20
ton and toff are the power MOSFET’s ON and OFF times respectively, ILpk the maximum
peak inductor current in a line cycle and
θ the instantaneous line phase in the interval [0,Π]).
Note that the ON time is constant over a line cycle.
As previously said, ILpk is twice the line-frequency peak current (Equation 4), which is
related to the input power and input mains voltage. By substituting this relationship in the
expressions of ton and toff, it is possible to find the instantaneous switching frequency along
a given line cycle.
() 2
min
out
2
out
out
Hold
out
O
V
V
V
t
P
2
C
−
∆
−
⋅
⋅
=
() (
)
F
7
.
36
V
300
V
20
V
400
ms
10
W
100
2
C
2
2
O
µ
=
−
−
⋅
⋅
=
()
out
2
min
out
2
out
out
O
hold
P
2
V
V
V
C
t
⋅
⎥⎦
⎤
⎢⎣
⎡
−
∆
−
⋅
=
() (
)
[
]
ms
78
.
14
W
100
2
V
300
V
20
V
400
F
47
t
2
2
hold
=
⋅
−
−
⋅
µ
=
O
l
out
out
C
f
2
I
V
⋅
⋅
π
⋅
=
∆
V
02
.
18
F
47
Hz
47
2
A
25
.
0
V
out
=
µ
⋅
⋅
π
⋅
=
∆
VAC
2
IL
L
)
sin(
VAC
2
)
sin(
IL
L
)
,
VAC
(
t
pk
pk
on
⋅
⋅
=
ϑ
⋅
⋅
ϑ
⋅
⋅
=
ϑ
)
sin(
VAC
2
V
)
sin(
IL
L
)
,
VAC
(
t
out
pk
off
ϑ
⋅
⋅
−
ϑ
⋅
⋅
=
ϑ



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