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AN1059 Datasheet(PDF) 12 Page - STMicroelectronics

Part # AN1059
Description  DESIGN EQUATIONS OF HIGH-POWER-FACTOR
PDF  20 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN1059 Datasheet(HTML) 12 Page - STMicroelectronics

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H2
(x) =
1
π
⋅
∫
0
π sin2(θ) ⋅ cos(2 ⋅ θ)
1
+ x ⋅ sin(θ)
d
θ ≈
0.25
− 1.5 ⋅ 10−3 ⋅ x
1
+ 1.074 ⋅ x
(19),
can be expressed as:
Io2
= IPKs ⋅ Kv ⋅ H2(Kv) = 2 ⋅ Iout ⋅
H2
(Kv)
F2
(Kv)
.
The absolute value in (19) is needed since the integral results negative, because the harmonic is 180°
out of phase. Finally, the peak-to-peak amplitude of the low frequency output ripple is:
∆Vo = 2 ⋅ Io2 ⋅ Z(2fL) (Co) =
1
π
⋅
H2
(Kv)
F2
(Kv)
⋅
Iout
fL
⋅ Co
.
In most cases, once a capacitor is selected so as to meet the requirement on the low frequency ripple,
the ESR will be low enough to make the high frequency ripple negligible.
Multiplier Bias and Sense Resistor Selection
A resistor divider feeds a portion of the input voltage into pin 3 (MULT) to build the sinusoidal reference
for the peak primary current. To set properly the operating point of the multiplier the following procedure
is recommended.
First, the maximum peak value for VMULT, VMULTpkmax, is selected. This value, which will occur at maxi-
mum mains voltage, should be 2.5 to 3V in wide range mains applications and 1 to 1.5V in case of single
mains. The minimum peak value, occurring at minimum mains voltage will be:
VMULTpkmin
= VMULTpkmax ⋅
VPKmin
VPKmax
This value, multiplied by the minimum guaranteed
∆VCS/∆VCOMP will give the maximum peak output volt-
age of the multiplier:
Vcxpk = 1.65
⋅ VMULTpkmin
If the resulting Vcxpk exceeds the linearity limit of the current sense (1.6 V), the calculation should be re-
peated beginning with a lower Vmultpkmax value.
In this way, the divider ratio will be:
KP
=
VMULTpkmax
VPKmax
and the individual resistor values can be chosen by setting the current through them, in the hundreds
µA
or less, to minimise power dissipation.
The value of the sense resistor, connected between the source of the MOSFET and ground, across
which the L6561 reads the primary current, is calculated as follows:
Rs
≤
Vcxpk
IPKpmax
.
The resistor will be rated for a power dissipation equal to:
Ps
= Rs ⋅ IPKpmax
2
⋅
F2
(Kvmin)
3
AN1059 APPLICATION NOTE
12/20



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