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TPS40140RHHR Datasheet(PDF) 41 Page - Texas Instruments

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Part # TPS40140RHHR
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

TPS40140RHHR Datasheet(HTML) 41 Page - Texas Instruments

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background image
(
)
(
) (
)
IN
RIPPLE CinESR
CIN
OUT
RIPPLE
IN
OUT
V
V
ESR
1
I
I
V
V
2
´
=
+
´
-
(
)
(
)
OUT
IN
OUT
OUT
IN(min)
2
sw
IN
RIPPLE CIN
I
V
V
V
C
V
f
V
´
-
´
=
´
´
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
2
TRAN(MAX)
OUT
OUT
OVER
I
L
C
(MIN)
2 V
V
´
=
´
´
(
)
2
TRAN(MAX)
OUT
IN(min)
OUT
UNDER
I
L
C
(MIN)
2
V
V
V
´
=
´
-
´
V
- V
V
1
IN(max)
OUT
OUT
L =
×
×
I
V
f
RIPPLE
IN(max)
SW
TPS40140
www.ti.com
SLUS660I – SEPTEMBER 2005 – REVISED JANUARY 2015
9.2.1.2 Detailed Design Procedure
9.2.1.2.1
Step 1: Inductor Selection
The inductor is determined by the desired ripple current. The required inductor is calculated by:
(21)
Typically the peak-to-peak inductor current, IRIPPLE is selected to be around 20% of the rated output current. In
this design, IRIPPLE is targeted at 15% of IOUT1. The calculated inductor is 0.89 μH and in practical a 1-μH, 32-A,
1.7 m
Ω inductor IHLP-5050FD from Vishay is selected. So, the inductor ripple current is 2.66 A.
9.2.1.2.2
Step 2: Output Capacitor Selection
The output capacitor is typically selected by the output load transient response requirement. Equation 22
estimates the minimum capacitor to reach the undervoltage requirement with load step up. Equation 23
estimates the minimum capacitor for overvoltage requirement with load step down. When VIN(min) < 2 ×VOUT, the
minimum output capacitance can be calculated using Equation 22. Otherwise, Equation 23 is used.
(22)
when VIN(min) < 2 × VOUT
(23)
when VIN(min) > 2×VOUT
In this design, VIN(min) is much larger than 2 × VOUT, so Equation 23 is used to determine the minimum
capacitance. Based on a 10-A load transient with a maximum of 80-mV deviation, a minimum 417-
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.
(24)
With 880-
μF output capacitance, the ripple voltage at the capacitor is calculated to be 0.76 mV. In the
specification, the output ripple voltage should be less than 30 mV, so based on Equation 24, the required
maximum ESR is 11 m
Ω. The selected capacitors can meet this requirement.
9.2.1.2.3
Step 3: Input Capacitor Selection
The input voltage ripple depends on the input capacitance and the ESR. The minimum capacitor and the
maximum ESR can be estimated by:
(25)
(26)
For this design, assume VRIPPLE(CIN) is 100 mV and VRIPPLE(CinESR) is 50 mV, so the calculated minimum
capacitance is 43.6
μF and the maximum ESR is 2.7 mΩ. Choosing four 22-μF, 16-V, 2-mΩ ESR ceramic
capacitors meets this requirement.
Copyright © 2005–2015, Texas Instruments Incorporated
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