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TPS40140 Datasheet(PDF) 47 Page - Texas Instruments

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Part No. TPS40140
Description  DUAL OR 2-PHASE, STACKABLE CONTROLLER
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Manufacturer  TI [Texas Instruments]
Direct Link  http://www.ti.com
Logo TI - Texas Instruments

TPS40140 Datasheet(HTML) 47 Page - Texas Instruments

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VCP1
OUT
OUT
1
f
=
= 2.36kHz
2 × π × C
× R
(28)
ESR
OUT
1
f
=
= 176.8kHz
2 × π × C
× ESR
(29)
R2
R1
C2
C1
+
VREF
1
s × (R1 + R2) × C1 + 1
Gc(s) =
×
R1× C2
s × (s × R2 × C1 + 1)
(30)
Tv(s) = Gc(s) × Gvc(s)
(31)
p
1
f =
= 176.8kHz
2 × π × R2 × C1
(32)
z
1
f =
= 6kHz
2 × π × (R1 + R2) × C1
(33)
T v (j × 2 × π × fc) = 1
(34)
A
CM +
1
R1
C2
+ 3.978
105
(35)
TPS40140
DUAL OR 2-PHASE, STACKABLE CONTROLLER
SLUS660A – SEPTEMBER 2005 – REVISED JULY 2006
The ESR zero is calculated by:
In this design, a Type II compensator is employed to compensate the loop.
Figure 6-1. Type II Compensator
The compensator transfer function is:
The loop gain transfer function is:
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:
From the above equation, the compensator gain is solved as 3.978
×105.
where
• C1 = 2.6 nF
• C2 = 250 pF
• R2 = 350Ω
• Set R1 equal to 10-kΩ, and then calculate all the other components
In the real laboratory practice, the final components are selected as following to increase the phase
margin and reduce PWM jitter.
• R1 = 10 kΩ
• C2 = 330 pF
• R2 = 50Ω
• C1 = 2.2 nF
Submit Documentation Feedback
DESIGN EXAMPLES
47


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