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TPS40140 Datasheet(PDF) 45 Page - Texas Instruments

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Part No. TPS40140
Description  Dual or 2-Phase, Stackable Controller
Download  68 Pages
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Manufacturer  TI1 [Texas Instruments]
Direct Link  http://www.ti.com
Logo TI1 - Texas Instruments

TPS40140 Datasheet(HTML) 45 Page - Texas Instruments

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CM
1
A
400
R1 C2
=
=
´
T v (j × 2 × π × fc) = 1
z
1
f =
= 5.91kHz
2 × π × (R1+ R2) × C1
p
1
f =
= 174.9 kHz
2 × π × R2 × C1
Tv(s) = Gc(s) × Gvc(s)
1
s × (R1+ R2) × C1+ 1
Gc(s) =
×
R1× C2
s × (s × R2 × C1+ 1)
R2
R1
C2
C1
+
VREF
ESR
OUT
1
f
=
= 144.7 kHz
2 × π × C
× ESR
)
VCP1
OUT
OUT
1
f
=
= 2.36 kHz
2 × π × C
× (ESR +R
S
OUT
RAMP
IN
OUT
OUT
RAMP
t
t
V
V
DCR
Ac
t
L
ln
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V
2
V
V
DCR
Ac
DCR
Ac
t
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TPS40140
www.ti.com
SLUS660I – SEPTEMBER 2005 – REVISED JANUARY 2015
(47)
The low-frequency pole is calculated by:
(48)
The ESR zero is calculated by:
(49)
In this design, a Type II compensator is employed to compensate the loop.
Figure 41. Type II Compensator
The compensator transfer function is:
(50)
The loop gain transfer function is:
(51)
Assume the desired crossover frequency is 60 kHz, then set the compensator zero about 1/10 of the crossover
frequency and the compensator pole equal to the ESR zero. The compensator gain is then calculated to achieve
the desired bandwidth. In this design, the compensator gain, pole and zero are selected as following:
(52)
(53)
(54)
The compensator gain is solved as 400.
where
C1 = 2.6 nF
C2 = 250 pF
R2 = 350
Set R1 equal to 10-k
Ω, and then calculate all the other components
(55)
Copyright © 2005–2015, Texas Instruments Incorporated
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