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AST1S31HF Datasheet, PDF (14/33 Pages) STMicroelectronics – Internal soft-start and enable
Functional description
Figure 6. Small signal model for the error amplifier
V FB
AST1S31HF
Vd
VREF
Gm*Vd
Ro
Co CRcc
Cp
Cc
RC and CC introduce a pole and a zero in the open loop gain. CP does not significantly affect
system stability and can be neglected.
So GEA(s) results:
Equation 10
GEAs = s----2-------R----0----------C----0-----+----C-----p----------R----c-------GC-----cE---A+----0-s--------1--R---+--0---s----C---R-c----c+-----R--C---0-c--------C-----0----+-----C----p-------+-----R----c-------C-----c------+-----1--
Where GEA = Gm · Ro.
The poles of this transfer function are (if Cc >> C0 + CP):
Equation 11
fP LF = 2----------------1R-----0-------C----c-
Equation 12
fP HF = -2---------------R-----c----1-----C-----0----+-----C----p---
whereas the zero is defined as:
Equation 13
fZ = 2----------------1R-----c-------C----c-
The embedded compensation network is RC = 80 k, CC = 55 pF while CP and CO can be
considered as negligible. The error amplifier output resistance is 98 Mso the relevant
singularities are:
Equation 14
fZ = 36 2 kHz
fP LF = 13 6 Hz
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