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LM5176PWPR Datasheet(PDF) 23 Page - Texas Instruments

Part # LM5176PWPR
Description  LM5176 55-V Wide VIN Synchronous 4-switch Buck-boost Controller
PDF  45 Pages
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Manufacturer  TI2 [Texas Instruments]
Direct Link  https://www.ti.com
Logo TI2 - Texas Instruments

LM5176PWPR Datasheet(HTML) 23 Page - Texas Instruments

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u
P
u
u
u
2
IN(MIN)
OUT
IN(MIN)
BOOST
2
OUT(MAX)
sw
OUT
V
(V
V
)
L
2.8 H
0.3 I
F
V
(14)
In this particular application, the buck inductance is larger. Choosing a larger inductance reduces the ripple
current but also increases the size of the inductor. A larger inductor also reduces the achievable bandwidth of
the converter by moving the right half plane zero to lower frequencies. Therefore, a judicious compromise should
be made based on the application requirements. For this design a 4.7-µH inductor is selected. With this inductor
selection, the inductor current ripple is 6.5 A, 4.3 A, and 2.1 A, at VIN of 50 V, 24 V, and 6 V, respectively.
The maximum average inductor current occurs at the minimum input voltage and maximum load current:
OUT
OUT(MAX)
L(MAX)
IN(MIN)
V
I
I
13.3 A
0.9 V
u
u
(15)
where a 90% efficiency is assumed. The peak inductor current occurs at minimum input voltage and is given by:
IN(MIN)
OUT
IN(MIN)
L(PEAK )
L(MAX)
sw
OUT
V
(V
V
)
I
I
14.4 A
2 L1 F
V
u
u
u
u
(16)
To ensure sufficient output current, the current limit threshold must be set to allow the maximum load current in
boost operation. The inductor peak current during overload depends on the current limit resistor, RSENSE, (refer
to the subsection on selecting RSENSE). The peak inductor current in current limit when in boost mode is given
by:
L(PEAK, ILIMIT, BOOST)
SENSE
120 mV
I
R
(17)
The peak inductor current in current limit when in buck mode happens at high input voltage and is given by:
§
·
u ¨
¸
¨
¸
u
©
¹
IN(MAX)
OUT
OUT
L(PEAK, ILIMIT, BUCK)
SENSE
sw
IN(MAX)
V
V
V
80 mV
I
R
L1 F
V
(18)
The peak inductor current in current limit is 15 A and 16.5 A in boost mode and buck mode, respectively. The
inductor should be selected to handle this current.
8.2.2.5 Output Capacitor
In the boost mode, the output capacitor conducts high ripple current. The output capacitor RMS ripple current is
given by Equation 19 where the minimum VIN corresponds to the maximum capacitor current.
OUT
COUT(RMS)
OUT
IN
V
I
I
1
V
u
(19)
In this example, the maximum output ripple RMS current is ICOUT(RMS) = 6 A. A 5-mΩ output capacitor ESR
causes an output ripple voltage of 60 mV as given by:
OUT
OUT
RIPPLE(ESR)
IN(MIN)
I
V
V
ESR
V
u
'
u
(20)
A 400-µF output capacitor causes a capacitive ripple voltage of 25 mV as given by:
www.ti.com
LM5176
SNVSAI1D – JUNE 2017 – REVISED AUGUST 2021
Copyright © 2021 Texas Instruments Incorporated
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Product Folder Links: LM5176



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