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TPS61372 Datasheet(PDF) 23 Page - Texas Instruments

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Part # TPS61372
Description  16-V, 3.6-A Synchronous Boost with Load Disconnect
PDF  35 Pages
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Manufacturer  TI1 [Texas Instruments]
Direct Link  http://www.ti.com
Logo TI1 - Texas Instruments

TPS61372 Datasheet(HTML) 23 Page - Texas Instruments

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ESR
OUT
P
C
R
C
C
R
´
=
ESR
ESR
OUT
1
f
2
R
C
=
p ´
´
P2
C
P
1
f
2
R
C
=
p ´
´
OUT
OUT
C
C
R
C
C
2R
´
=
Z
C
C
1
f
2
R
C
=
p ´
´
DOWN
EA
C
EA
C
PS C
UP
DOWN
R
K
(f )
20
log(G
R
)
K
(f )
R
R
=
´
´
´
= -
+
Z
C
C
1
f
2
R
C
=
p ´
´
23
TPS61372
www.ti.com
SLVSEE7 – JUNE 2018
Product Folder Links: TPS61372
Submit Documentation Feedback
Copyright © 2018, Texas Instruments Incorporated
where
•
CP is the pole capacitor compensation
•
RC is the resistor of the compensation network
(32)
(33)
9.2.3.4.2
Loop Compensation Design Steps
With the small signal models coming out, the next step is to calculate the compensation network parameters with
the given inductor and output capacitance.
1. Set the Cross Over Frequency, ƒC
–
The first step is to set the loop crossover frequency, ƒC. The higher crossover frequency, the faster the
loop response is. It is generally accepted that the loop gain cross over no higher than the lower of either
1/10 of the switching frequency, ƒSW, or 1/5 of the RHPZ frequency, ƒRHPZ. Then calculate the loop
compensation network values of RC, CC, and CP by following below eqµAtions.
2. Set the Compensation Resistor, RC
–
By placing ƒZ below ƒC, for frequencies above ƒC, RC | | REA ~= RC and so RC × GEA sets the
compensation gain. Setting the compensation gain, KCOMP-dB, at ƒZ, results in the total loop gain, T(s) =
GPS(s) × HEA(s) × He(s) being zero at ƒC.
–
Therefore, to approximate a single-pole roll-off up to fP2, rearrange Equation 30 to solve for RC so that
the compensation gain, KEA, at fC is the negative of the gain, KPS, read at frequency fC for the power
stage bode plot or more simply:
where
•
KEA is gain of the error amplifier network
•
KPS is the gain of the power stage
•
GEA is the amplifier’s trans-conductance, the typical value of GEA = 175 µA / V
(34)
3. Set the compensation zero capacitor, CC
–
Place the compensation zero at the power stage ROUT ,COUT pole’s position, so to get:
(35)
–
Set ƒZ = ƒP, and get the
(36)
4. Set the compensation pole capacitor, CP
–
Place the compensation pole at the zero produced by the RESR and the COUT, it is useful for canceling
unhelpful effects of the ESR zero.
(37)
(38)
–
Set ƒP2 = ƒESR, and get the
(39)
–
If the calculated value of CP is less than 10 pF, it can be neglected.
Designing the loop for greater than 45° of phase margin and greater than 6-dB gain margin eliminates output
voltage ringing during the line and load transient. The RC = 61.9 kΩ , CC = 680 pF for this design example.



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