LTC4417
21
4417f
applicaTions inForMaTion
master and connect its highest valid priority channel to
the common output. If seven, or more, input supplies are
prioritized, additional LTC4417s can be added by connect-
ing all individual V
OUT
pins together and connecting each
LTC4417’s CAS to the next lower priority LTC4417’s EN.
DESIGN EXAMPLE
A 2A multiple input supply system consisting of a 12V
supply with a source resistance of 20mΩ, 7.4V main
lithium-ion battery, and a backup 7.4V lithium-ion battery
is designed with priority sourcing from the 12V supply,
as shown in Figure 13. Power is sourced from the main
battery when the 12V supply is absent and the backup
battery is only used when the main battery and 12V supply
are not available. The ambient conditions of the system
will be between 25°C and 85°C.
The design limits the output voltage droop to 800mV
during switchover. The load capacitor is assumed to have
a minimum ESR of 50mΩ at 85°C and 80mΩ at 25°C
through paralleling low ESR rated aluminum electrolytic
capacitors. The input source is allowed to drop 1V.
Selecting External P-Channel MOSFET
The design starts with selecting a suitable 2A rated
P-channel MOSFET with desired
R
DS(ON)
. Reviewing several
MOSFET options, the low 18mΩ R
DS(ON)
, dual P-channel
IRF7324 with a –20V BV
DSS
, is chosen for this application.
The low 18mΩ R
DS(ON)
results in a 72mV combined drop
at 25°C and 85mV drop at 85°C. Each P-channel MOSFET
dissipates 72mW at 25°C and 85mW at 85°C.
Inrush Current Limiting
When connecting a higher voltage source to a lower voltage
output, significant inrush current can occur. The magnitude
of the inrush current can be calculated with Equation (19).
I
INRUSH
=
V1– V
OUT(INIT)
R
SRC
+ESR(C
L
)+ 2 •R
DS(ON)
(19)
where V
OUT(INIT)
is the V
OUT
voltage when initially powered
from a supply voltage less than V1, V1 is the higher voltage
source, R
SRC
is source resistance of V1, ESR(C
L
) is the
ESR of the load capacitor, and R
DS(ON)
is the on-resistance
of the external back-to-back MOSFET.
Given a total series resistance from input to output, the
worst case inrush current will occur when V1 is running
20% high, at 14.4V, and V
OUT
is at its undervoltage limit
of 5.6V. During this condition, a maximum inrush current
of 83A will occur, as shown in Equation (20).
I
INRUSH
=
14.4V – 5.6V
20mΩ+ 50mΩ+36mΩ
= 83A
(20)
Because the 83A of inrush current exceeds the 71A ab-
solute maximum pulsed drain current rating, I
DM
, of the
IRF7324, inrush current limiting is required.
Calculating the load capacitance, C
L
, and inrush current
limiting circuitry component, R
S
, is an iterative process.
To start, use Equation (14), with 0.79 • R
S
• C
S
initially set
to 10µs. To limit the output voltage droop to the desired
800mV, reserve 200mV for initial droop due to the load
current flowing in the ESR of the output capacitor. Next,
choose C
L
to set the maximum V
OUT
droop to 600mV, as
shown in Equation (21).
C
L
=
2A •(3µs+12µs+10µs)
600mV
C
L
= 83.3µF
(21)
For margin, choose the initial C
L
value equal to 100µF and
use Equation (16) to determine R
S
. With an allowable 1V
input voltage drop and source resistance, R
SRC
, of 20mΩ,
the input voltage droop of 700mV is used to set the inrush
current of 35A. The other terms in the equation come
from the external P-channel MOSFET manufacturer’s data
sheet. The transfer characteristics curve shows the gate
voltage, V
GS
, is approximately 1.8V when driving the 35A
inrush current and the capacitance verses drain-to-source
voltage curve shows the maximum C
RSS
is approximately
600pF. C
S
is set to be greater than ten times C
RSS
, or
6.8nF. To ensure the designed inrush current is lower
than the absolute maximum pulse drain current rating,
I
DM
, calculate R
S
using the maximum value for ∆V
G(SINK)
and C
L
, and the minimum value for C
S
. For aluminum