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L6986H Datasheet(PDF) 35 Page - STMicroelectronics

No. de pieza L6986H
Descripción Electrónicos  38 V, 2 A synchronous step-down switching regulator with 30 μA quiescent current
PDF  68 Pages
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Fabricante Electrónico  STMICROELECTRONICS [STMicroelectronics]
Página de inicio  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

L6986H Datasheet(HTML) 35 Page - STMicroelectronics

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5
Closing the loop
Figure 35. Block diagram of the loop
5.1
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:
GCO(s)=RLOAD⋅gCS⋅
1
1+RLOAD⋅TSW
L ⋅[mC⋅(1−D)−0.5]⋅
1+ SωZ1+Sωp⋅FH(s)
(18)
where RLOAD represents the load resistance, gCS the equivalent sensing transconductance of the current sense
circuitry, wp the single pole introduced by the power stage and wz 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
(19)
ωp= 1
RLOAD⋅COUT+mc⋅(1−D)−0.5
L⋅COUT⋅fSW
(20)
where:
mC=1+SeSn
Se=VPP⋅gCS⋅fSW
Sn=VIN−VOUT
L
(21)
Sn represents the on time slope of the sensed inductor current, Se the on time slope of the external ramp (VPP
peak-to-peak amplitude) that implements the slope compensation to avoid sub-harmonic oscillations at duty cycle
over 50%.
Se can be calculated from the parameter VPP × gCS given in Table 1 .
L6986H
Closing the loop
DS12905 - Rev 2
page 35/68



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