Datasheet

LTC3707
26
3707fb
APPLICATIONS INFORMATION
Design Example
As a design example for one channel, assume V
IN
=
12V(nominal), V
IN
= 22V(max), V
OUT
= 2V, I
MAX
= 5A,
and f = 300kHz.
The inductance value is chosen fi rst based on a 30% ripple
current assumption. The highest value of ripple current
occurs at the maximum input voltage. Tie the FREQSET
pin to the INTV
CC
pin for 300kHz operation. The minimum
inductance for 30% ripple current is:
ΔI
L
=
V
OUT
(f)(L)
1–
V
OUT
V
IN
⎛
⎝
⎜
⎞
⎠
⎟
A 4.7µH inductor will produce 25% ripple current and a
3.3µH will result in 36%. The peak inductor current will be
the maximum DC value plus one half the ripple current, or
5.92A, for the 3.3µH value. Increasing the ripple current
will also help ensure that the minimum on-time of 200ns
is not violated. The minimum on-time occurs at maximum
V
IN
:
t
ON(MIN)
=
V
OUT
V
IN(MAX)
f
=
2V
22V(300kHz)
= 303ns
The R
SENSE
resistor value can be calculated by using the
maximum current sense voltage specifi cation with some
accommodation for tolerances:
R
SENSE
≤
60mV
5.92A
≈0.01Ω
Since the output voltage is below 2.4V the output resistive
divider will need to be sized to not only set the output
voltage but also to absorb the SENSE pins specifi ed input
current.
R1
(MAX)
= 24k
0.8V
2.4V – V
OUT
⎛
⎝
⎜
⎞
⎠
⎟
= 24K
0.8V
2.4V – 1.8V
⎛
⎝
⎜
⎞
⎠
⎟
= 32k
Choosing 1% resistors; R1 = 25.5k and R2 = 32.4k yields
an output voltage of 1.816V.
The power dissipation on the top side MOSFET can be
easily estimated. Choosing a Siliconix Si4412DY results
in; R
DS(ON)
= 0.042Ω, C
RSS
= 100pF. At maximum input
voltage with T(estimated) = 50°C:
P
MAIN
=
2V
22V
5
()
2
1+(0.005)(50°C–25°C)
[]
0.042Ω
()
+1.7 22V
()
2
5A
()
100pF
()
300kHz
()
= 230mW
A short-circuit to ground will result in a folded back current
of:
I
SC
=
25mV
0.01Ω
+
1
2
200ns(22V)
3.3µH
⎛
⎝
⎜
⎞
⎠
⎟
= 3.2A
with a typical value of R
DS(ON)
and δ = (0.005/°C)(20) =
0.1. The resulting power dissipated in the bottom MOSFET
is:
P
SYNC
=
22V – 2V
22V
3.2A
()
2
1.1
()
0.042Ω
()
= 430mW
which is less than under full-load conditions.
C
IN
is chosen for an RMS current rating of at least 3A at
temperature assuming only this channel is on. C
OUT
is
chosen with an ESR of 0.02Ω for low output ripple. The
output ripple in continuous mode will be highest at the
maximum input voltage. The output voltage ripple due to
ESR is approximately:
V
ORIPPLE
= R
ESR(
Δ
IL)
= 0.02Ω(1.67A) = 33mV
P–P