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TPS40140 Datasheet(PDF) 43 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) 43 Page - Texas Instruments

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6.1.2
Step 2: Output Capacitor Selection
(
)
2
I
× L
TRAN(MAX)
C
=
OUT(MIN)
V
- V
× V
IN(min)
OUT
UNDER
(2)
2
I
× L
TRAN(MAX)
C
=
OUT(MIN)
V
× V
OUT
OVER
(3)
æ
ö
ç
÷
è
ø
RIPPLE
RIPPLE(TotOUT)
RIPPLE(TotOUT)
RIPPLE(COUT)
OUT
SW
Co
RIPPLE
RIPPLE
I
V
-
V
- V
8 × C
× f
ESR
=
=
I
I
(4)
6.1.3
Step 3: Input Capacitor Selection
I
× V
OUT
OUT
C
=
IN(min)
V
× V
× f
RIPPLE(CIN)
IN
SW
(5)
VRIPPLE(CinESR)
ESR
=
Cin
1
I
+
I
OUT
RIPPLE
2
(6)
RM S_CIN
O UT
I
=
D × (1 - D) × I
(7)
TPS40140
DUAL OR 2-PHASE, STACKABLE CONTROLLER
SLUS660A – SEPTEMBER 2005 – REVISED JULY 2006
The output capacitor is typically selected by the output load transient response requirement. Equation 2
estimates the minimum capacitor to reach the undervoltage requirement with load step up. Equation 3
estimates the minimum capacitor for overvoltage requirement with load step down. When VIN(min) < 2
×V
OUT, the minimum output capacitance can be calculated using Equation 2. Otherwise, Equation 3 is
used.
when V
IN(min) < 2 × VOUT
when V
IN(min) > 2×VOUT
In this design, V
IN(min) is much larger than 2 × VOUT, so Equation 3 is used to determine the minimum
capacitance. Based on a 10-A load transient with a maximum of 80-mV deviation, a minimum 833-
µF
output capacitor is required. In the design, four 220-
µF, 4-V, SP capacitor are selected to meet this
requirement. Each capacitor has an ESR of 5 m
Ω.
Another criterion for capacitor selection is the output ripple voltage. The output ripple is determined mainly
by the capacitance and the ESR.
With 880-
µF output capacitance, the ripple voltage at the capacitor is calculated to be 863-µV. In the
specification, the output ripple voltage should be less than 30 mV, so based on Equation 4, the required
maximum ESR is 9.5 m
Ω. The selected capacitors can meet this requirement.
The input voltage ripple depends on the input capacitance and the ESR. The minimum capacitor and the
maximum ESR can be estimated by:
For this design, assume V
RIPPLE(CIN) is 100 mV and VRIPPLE(CinESR) is 50 mV, so the calculated minimum
capacitance is 50
µF and the maximum ESR is 2.3 mΩ. Choosing four 22-µF, 16-V, 2-mΩ ESR ceramic
capacitors meets this requirement.
Another important consideration for the input capacitor is the RMS ripple current rating. The RMS current
in the input capacitor is estimated by:
D is the duty cycle. The calculated RMS current is 6.6 A. Each selected ceramic capacitor has a RMS
current rating of 4.3 A, so it is sufficient to reach this requirement.
Submit Documentation Feedback
DESIGN EXAMPLES
43


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