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TPS40040 Datasheet(PDF) 21 Page - Texas Instruments

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Part # TPS40040
Description  LOW PIN COUNT, LOW VIN (2.5 V TO 5.5 V) SYNCHRONOUS BUCK DC-TO-DC CONTROLLER WITH ENABLE
PDF  36 Pages
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Manufacturer  TI [Texas Instruments]
Direct Link  http://www.ti.com
Logo TI - Texas Instruments

TPS40040 Datasheet(HTML) 21 Page - Texas Instruments

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Peak Current Rating of Inductor
I
CHARGE *
V
OUT
C
OUT
T
SS
(9)
L
L(peak) * IOUT(max)
1
2
I
RIPPLEt
I
CHARGE
(10)
Input Capacitor Selection (C1 & C2)
C
IN(min) *
I
LOAD
V
OUT
V
RIPPLE(cap)
V
IN
F
SW
(11)
ESR
MAX *
V
RIPPLE(ESR)
I
LOAD
1
2
I
RIPPLEt
(12)
I
RMS(cin) t IIN(rms)
I
IN(avg) t
I
OUT *
1
12
I
RIPPLE
V
OUT
V
IN
V
OUT
I
OUT
V
IN
(13)
TPS40040, TPS40041
SLUS700B – MARCH 2006 – REVISED MARCH 2006
With output capacitance known, it is now possible to calculate the charging current during start-up and determine
the minimum saturation current rating for the inductor. The start-up charging current is approximated by:
Using the TPS40041’s fixed 4.5-ms soft-start time, COUT = 200 µF and VOUT = 1.8 V, ICHARGE is found to be 80
mA. The peak current rating of the inductor is now found by:
The inductor requirements are summarized in the table below.
Inductor Requirements
PARAMETER
SYMBOL
VALUE
UNITS
Inductance
L
1.0
µH
RMS current (thermal rating)
IL(rms)
6.15
A
Peak current (saturation rating)
IL(peak)
7.08
A PG0083.102, 1.0
µH is selected for its small size, low DCR and high current handling capability.
The input voltage ripple is divided between capacitance and ESR. For this design, VRIPPLE(CAP) = 50 mV and
VRIPPLE(ESR) = 25 mV. The minimum capacitance and maximum ESR are estimated by:
For this design, CIN > 120 µF and ESR < 3.5 mΩ. The RMS current in the input capacitors is estimated by:
With VIN = VIN(max), the input capacitors must support a ripple current of 1.56 ARMS. Two 1206, 100-µF, X5R
ceramic capacitors with about 5-m
Ω ESR and a 2-A RMS current rating are selected. It is important to check the
dc bias voltage derating curves to ensure the capacitors provide sufficient capacitance at the working voltage.
21



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