Linear LTC3875 Datasheet page 28

Dual, 2-phase, synchronous controller with low value dcr sensing and temperature compensation
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LTC3875
APPLICATIONS INFORMATION
in the formula below to determine the maximum RMS
capacitor current requirement. Increasing the output cur-
rent drawn from the other controller will actually decrease
the input RMS ripple current from its maximum value.
The out-of-phase technique typically reduces the input
capacitor's RMS ripple current by a factor of 30% to 70%
when compared to a single phase power supply solution.
In continuous mode, the source current of the top MOSFET
is a square wave of duty cycle (V
large voltage transients, a low ESR capacitor sized for the
maximum RMS current of one channel must be used. The
maximum RMS capacitor current is given by:
I
MAX
C
Required I
IN
RMS
This formula has a maximum at V
I
= I
/2. This simple worst-case condition is com-
RMS
OUT
monly used for design because even significant deviations
do not offer much relief. Note that capacitor manufacturers'
ripple current ratings are often based on only 2000 hours
of life. This makes it advisable to further derate the capaci-
tor, or to choose a capacitor rated at a higher temperature
than required. Several capacitors may be paralleled to meet
size or height requirements in the design. Due to the high
operating frequency of the LTC3875, ceramic capacitors
can also be used for C
. Always consult the manufacturer
IN
if there is any question.
The benefit of the LTC3875 2-phase operation can be
calculated by using the equation above for the higher
power controller and then calculating the loss that would
have resulted if both controller channels switched on at
the same time. The total RMS power lost is lower when
both controllers are operating due to the reduced overlap
of current pulses required through the input capacitor's
ESR. This is why the input capacitor's requirement cal-
culated above for the worst-case controller is adequate
for the dual controller design. Also, the input protection
fuse resistance, battery resistance, and PC board trace
resistance losses are also reduced due to the reduced
peak currents in a 2-phase system. The overall benefit of
a multiphase design will only be fully realized when the
source impedance of the power supply/battery is included
in the efficiency testing. The sources of the top MOSFETs
28
)/(V
). To prevent
OUT
IN
(
)
(
)
 
V
V
– V
OUT
IN
OUT
V
IN
= 2V
, where
IN
OUT
For more information
should be placed within 1cm of each other and share a
common C
(s). Separating the sources and C
IN
duce undesirable voltage and current resonances at V
A small (0.1µF to 1µF) bypass capacitor between the chip
V
pin and ground, placed close to the LTC3875, is also
IN
suggested. A 2.2Ω to 10Ω resistor placed between C
and the V
pin provides further isolation between the
IN
two channels.
The selection of C
resistance (ESR). Typically, once the ESR requirement
is satisfied, the capacitance is adequate for filtering. The
output ripple (∆V
1/2
 
∆V
≈I
OUT
RIPPLE
where f is the operating frequency, C
capacitance and I
tor. The output ripple is highest at maximum input voltage
since I
increases with input voltage.
RIPPLE
Setting Output Voltage
The LTC3875 output voltages are each set by an external
feedback resistive divider carefully placed across the out-
put, as shown in Figure 1. The regulated output voltage
is determined by:
V
= 0.6V • 1+
OUT
To improve the frequency response, a feed-forward ca-
pacitor, C
, may be used. Great care should be taken to
FF
route the V
line away from noise sources, such as the
FB
inductor or the SW line.
Fault Conditions: Current Limit and Current Foldback
The LTC3875 includes current foldback to help limit load
current when the output is shorted to ground. If the out-
put falls below 50% of its nominal output level, then the
maximum sense voltage is progressively lowered from its
maximum programmed value to one-third of the maximum
value. Foldback current limiting is disabled during the
soft-start or tracking up. Under short-circuit conditions
www.linear.com/LTC3875
is driven by the effective series
OUT
) is approximated by:
OUT
1
ESR+
 
 
8fC
OUT
OUT
is the ripple current in the induc-
RIPPLE
R
D1
 
 
R
D2
may pro-
IN
.
IN
IN
is the output
3875fb

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