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SC419 Datasheet(PDF) 17 Page - Semtech Corporation

Part # SC419
Description  EcoSpeedTM DC-DC Converter with Integrated Boost Diode
PDF  24 Pages
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Manufacturer  SEMTECH [Semtech Corporation]
Direct Link  http://www.semtech.com
Logo SEMTECH - Semtech Corporation

SC419 Datasheet(HTML) 17 Page - Semtech Corporation

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SC419
17
To find the minimum inductance needed, use the V
IN and
T
ON values that correspond to VINMAX.
H
77
.
0
A
5
ns
318
)
05
.
1
2
.
13
(
L
A slightly larger value of 0.88µH is selected. This will
decrease the maximum I
RIPPLE to 4.4A.
Note that the inductor must be rated for the maximum DC
load current plus 1/2 of the ripple current.
The ripple current under minimum V
IN conditions is also
checked using the following equations.
ns
384
ns
10
V
V
R
pF
25
T
INMIN
OUT
TON
VINMIN
_
ON
L
T
)
V
V
(
I
ON
OUT
IN
RIPPLE
A
25
.
4
H
088
ns
384
)
05
.
1
8
.
10
(
I
VINMIN
_
RIPPLE
Capacitor Selection
The output capacitors are chosen based on required ESR
and capacitance. The maximum ESR requirement is con-
trolled by the output ripple requirement and the DC toler-
ance. The output voltage has a DC value that is equal to
the valley of the output ripple plus 1/2 of the peak-to-peak
ripple. Change in the output ripple voltage will lead to a
change in DC voltage at the output.
The design goal is for the output voltage regulation to be
±4% under static conditions. The internal 500mV refer-
ence tolerance is 1%. Allowing 1% tolerance from the FB
resistor divider, this allows 2% tolerance due to V
OUT ripple.
Since this 2% error comes from 1/2 of the ripple voltage,
the allowable ripple is 4%, or 42mV for a 1.05V output.
The maximum ripple current of 4.4A creates a ripple
voltage across the ESR. The maximum ESR value allowed
is shown by the following equations.
A
4
.
4
mV
42
I
V
ESR
RIPPLEMAX
RIPPLE
MAX
ESR
MAX = 9.5 mΩ
The output capacitance is chosen to meet transient
requirements. A worst-case load release, from maximum
load to no load at the exact moment when inductor
current is at the peak, determines the required capaci-
tance. If the load release is instantaneous (load changes
from maximum to zero in < 1µs), the output capacitor
must absorb all the inductor’s stored energy. This will
cause a peak voltage on the capacitor according to the
following equation.
2
OUT
2
PEAK
2
RIPPLEMAX
OUT
MIN
V
V
I
2
1
I
L
COUT
Assuming a peak voltage V
PEAK of 1.150 (100mV rise upon
load release), and a 10A load release, the required capaci-
tance is shown by the next equation.
2
2
2
MIN
05
.
1
15
.
1
4
.
4
2
1
10
H
88
.
0
COUT
COUT
MIN = 595µF
If the load release is relatively slow, the output capacitance
can be reduced. At heavy loads during normal switching,
when the FB pin is above the 500mV reference, the DL
output is high and the low-side MOSFET is on. During this
time, the voltage across the inductor is approximately
-V
OUT. This causes a down-slope or falling di/dt in the
inductor. If the load di/dt is not faster than the -di/dt in
the inductor, then the inductor current will tend to track
the falling load current. This will reduce the excess induc-
tive energy that must be absorbed by the output capaci-
tor, therefore a smaller capacitance can be used.
The following five equations can be used to calculate the
needed capacitance for a given dI
LOAD/dt.
Peak inductor current is shown by the next equation.
I
LPK = IMAX + 1/2 x IRIPPLEMAX
I
LPK = 10 + 1/2 x 4.4 = 12.2A
dt
dl
Current
Load
of
change
of
Rate
LOAD
Applications Information (continued)



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