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UCC28070APW Datasheet(PDF) 32 Page - Texas Instruments

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Part # UCC28070APW
Description  Extended Frequency Range (10 kHz to 300 kHz)
Download  43 Pages
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Manufacturer  TI1 [Texas Instruments]
Direct Link  http://www.ti.com
Logo TI1 - Texas Instruments

UCC28070APW Datasheet(HTML) 32 Page - Texas Instruments

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0
2
2
avg
Cout
avg
pk
avg
avg
LF
Pin
X
Pin
v
Vout
Vout
f
Cout
p
´
=
=
´
´
´
2
3
2
64
2
LF
rd
avg
LF
OV ( f
)
mv
R
avg
k
mV Vout
f
Cout
Z
g
k
Pin
p
´
´
´
´
=
´
´
2
3
2
64
2
mv
R
avg
rd
avg
LF
g
k
Pin
Cpv
k
mV Vout
(
f
)
Cout
p
´
´
=
´
´
´
´
(
)
1
avg
Cout
VXO
BST
VEA
R
mv
Cpv
R
VAO
avg
Pin
X
Tv( f
)
G
G
k
g
X
k
V
Vout
æ
ö
´
=
´
´
=
´
´
´
=
ç
÷
ç
÷
D
´
è
ø
( )
2
2
2
mv
R
avg
VXO
VAO
avg
g
k
Pin
f
V
Vout
Cpv Cout
p
´
´
=
D
´
´
´
´
1
2
VXO
Rzv
f
Cpv
p
=
´
10
10
2
VXO
Czv
Cpv
f
Rzv
p
=
»
´
´
UCC28070A
SLUSAW0 – MARCH 2012
www.ti.com
The output capacitor maximum low-frequency zero-to-peak ripple voltage is closely approximated by:
(27)
where PIN(avg) is the total maximum input power of the interleaved-PFC pre-regulator, VOUT(avg) is the average
output voltage and COUT is the output capacitance.
VSENSEpk = vopkxkR, where kR is the gain of the resistor-divider network on VSENSE.
Thus, for k3rd% of allowable 3rd-harmonic distortion on the input current attributable to the VAO ripple,
(28)
This impedance on VAO is set by a capacitor (Cpv), where CPV = 1/( 2πf2LFxZOV(f2LF)) therefore,
(29)
The voltage-loop unity-gain cross-over frequency (fVXO) may now be solved by setting the open-loop gain equal
to 1:
(30)
so,
(31)
The “zero-resistor” (RZV) from the zero-placement network of the compensation may now be calculated. Together
with CPV, RZV sets a pole right at fVXO to obtain 45° phase margin at the cross-over.
Thus,
(32)
Finally, a zero is placed at or below fVXO/6 with capacitor CZV to provide high gain at dc but with a breakpoint far
enough below fVXO so as not to significantly reduce the phase margin. Choosing fVXO/10 allows one to
approximate the parallel combination value of CZV and CPV as CZV, and solve for CZV simply as:
(33)
By using a spreadsheet or math program, CZV, RZV, and CPV may be manipulated to observe their effects on fVXO
and phase margin and %-contribution to 3rd-harmonic distortion (see note below). Also, phase margin may be
checked as PIN(avg) level and system parameter tolerances vary.
NOTE
The percent of 3rd-harmonic distortion calculated in this section represents the
contribution from the f2LF voltage ripple on COUT only. Other sources of distortion, such as
the current-sense transformer, the current synthesizer stage, even distorted VIN, etc., can
contribute additional 3rd and higher harmonic distortion.
32
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Copyright © 2012, Texas Instruments Incorporated
Product Folder Link(s): UCC28070A


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