NCP1651
http://onsemi.com
17
Thekeytounderstandinghowtheinputcurrentisshaped
intoahighqualitysinewaveistheoperationoftheACerror
amplifier. The inputs of an operational amplifier operating
in its linear range, must be equal. There are several
secondaryeffects,thatcreatesmalldifferencesbetweenthe
inverting and non- -inverting inputs, but for the purpose of
this analysis they can be considered to be equal.
The fullwave rectified sinewave output of the reference
multiplierisfedintothenon- -invertinginputoftheACerror
amplifier. The inverting input to the AC error amplifier
receives a signal that is comprised of the input fullwave
rectified sinewave (which is not modified by the reference
multiplier), and summed with the filtered input current.
Since the two inputs to this amplifier will be at the same
potential,thecomplexsignalatthenon- -invertinginputwill
have the same waveshape as the AC reference signal. The
AC reference signal (V
ref
) is a fullwave rectified sinewave,
and the AC input signal (V
line
) is also a fullwave rectified
sinewave,therefore,theACcurrentsignal(I
in
),mustalsobe
a fullwave rectified sinewave. This relationship gives the
formula:
V
ref
= .75 ?V
ref
+ (k ?I
in
)
TheIinsignalhasawidebandwidth,anditsinstantaneous
value will not follow the low frequency fullwave rectified
sinewave exactly, however, the output of the AC error
amplifier has a low frequency pole that allows the average
valueof the.75V
line
+(kxI
in
) tofollowV
ref
.SincetheAC
erroramplifierisatransconductanceamplifier,itisfollowed
byaninvertingunitygainbufferstagewithalowimpedance
output  so  that  the  signal  can  be  summed  with  the
instantaneousinputswitchingcurrent(I
in
).Theoutputofthe
buffer is still V
error(ac)
.
The  difference  between  V
error(ac)
and  the  4.0  volt
reference, sets the window that the instantaneous current
willmodulatein,todeterminewhentoturnthepowerswitch
off.
Since the input current has a fundamental frequency that
is twice that of the line, the output filter must have poles
lower than the input current to create a reasonable DC
waveform.  The DC output voltage is compared to a
reference voltage by a secondary side error amplifier, and
the error signal out of the secondary side amplifier is fed
back into the Feedback input through an optocoupler.
Theswitchisturnedonbytheoscillator,whichmakesthis
a fixed frequency controller. Under normal operation, the
switch will remain on until the instantaneous value of
V
error(ac)
?reachesthe 4.0 volt reference level, at whichtime
the switch will turn off.
Figure 31. Typical Signals for PFC Circuit
AC Input
V
ref
V
line
k ?I
in
.75 ?V
line
+ k ?I
in
V
error(ac)
V
error(ac)?/DIV>
V
error(ac)
V
ref
OSC
4 V ref
GND
GND
4 V ref
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