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L6982 Datasheet(PDF) 21 Page - STMicroelectronics

No. de pieza L6982
Descripción Electrónicos  38 V, 2 A synchronous step-down converter with low quiescent current
PDF  48 Pages
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Fabricante Electrónico  STMICROELECTRONICS [STMicroelectronics]
Página de inicio  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

L6982 Datasheet(HTML) 21 Page - STMicroelectronics

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7
Closing the loop
The following pictures shows the typical compensation network required to stabilize the system.
Figure 23. Block diagram of the loop
7.1
GCO(s) control to output transfer function
The accurate control to output transfer function for a buck peak current mode converter can be written as:
GCOs =RLOAD∙gCS∙
1
1+RLOAD∙TSW
L ∙ mC∙ 1−D −0.5 ∙
1+ sωZ
1+ sωP ∙FH s
(7)
Where RLOAD represents the load resistance, gCS the equivalent sensing trans-conductance of the current sense
circuitry, ωP the single pole introduced by the power stage and ωZ the zero given by the ESR of the output
capacitor. FH (s) accounts the sampling effect performed by the PWM comparator on the output of the error
amplifier that introduces a double pole at one half of the switching frequency.
ωZ= 1ESR∙COUT
(8)
ωP= 1
RLOAD∙COUT+mC∙ 1−D −0.5
L∙COUT∙fSW
(9)
Where:
mC=1+SeSn
Se=ISLOPE∙fSW
Sn=VIN−VOUT
L
(10)
Where ISLOPE is equal to 1 A.
Sn represents the ON time slope of the sensed inductor current, Se the ON time slope of the external ramp that
implements the slope compensation to avoid sub-harmonic oscillations at duty cycle over 50 %.
The sampling effect contribution FH (s) is:
L6982
Closing the loop
DS13683 - Rev 1
page 21/48



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