LTC3416
9
3416fa
APPLICATIO S I FOR ATIO
WUUU
prevent large voltage transients from occurring, a low ESR
input capacitor sized for the maximum RMS current
should be used. The maximum RMS current is given by:
II V
V
V
V
RMS OUT MAX OUT
IN
IN
OUT
=
()
–1
This formula has a maximum at V
IN
= 2V
OUT
, where I
RMS
= I
OUT
/2. This simple worst-case condition is commonly
used for design because even significant deviations do not
offer much relief. Note that ripple current ratings from
capacitor manufacturers are often based on only 2000
hours of life which makes it advisable to further derate the
capacitor, or choose a capacitor rated at a higher tempera-
ture than required. Several capacitors may also be paral-
leled to meet size or height requirements in the design. For
low input voltage applications, sufficient bulk input ca-
pacitance is needed to minimize transient effects during
output load changes.
The selection of C
OUT
is determined by the effective series
resistance (ESR) that is required to minimize voltage
ripple and load step transients as well as the amount of
bulk capacitance that is necessary to ensure that the
control loop is stable. Loop stability can be checked by
viewing the load transient response as described in a later
section. The output ripple, ∆V
OUT
, is determined by:
∆≤∆ +
⎛
⎝
⎜⎞
⎠
⎟
V I ESR fC
OUT L OUT
1
8
The output ripple is highest at maximum input voltage
since ∆I
L
increases with input voltage. Multiple capacitors
placed in parallel may be needed to meet the ESR and RMS
current handling requirements. Dry tantalum, special poly-
mer, aluminum electrolytic and ceramic capacitors are all
available in surface mount packages. Special polymer
capacitors offer very low ESR but have lower capacitance
density than other types. Tantalum capacitors have the
highest capacitance density but it is important to only use
types that have been surge tested for use in switching
power supplies. Aluminum electrolytic capacitors have
significantly higher ESR, but can be used in cost-sensitive
applications provided that consideration is given to ripple
current ratings and long term reliability. Ceramic capaci-
tors have excellent low ESR characteristics but can have a
high voltage coefficient and audible piezoelectric effects.
The high Q of ceramic capacitors with trace inductance
can also lead to significant ringing.
Using Ceramic Input and Output Capacitors
Higher values, lower cost ceramic capacitors are now
becoming available in smaller case sizes. Their high ripple
current, high voltage rating and low ESR make them ideal
for switching regulator applications. However, care must
be taken when these capacitors are used at the input and
output. When a ceramic capacitor is used at the input and
the power is supplied by a wall adapter through long wires,
a load step at the output can induce ringing at the input,
V
IN
. At best, this ringing can couple to the output and be
mistaken as loop instability. At worst, a sudden inrush of
current through the long wires can potentially cause a
voltage spike at V
IN
large enough to damage the part.
When choosing the input and output ceramic capacitors,
choose the X5R or X7R dielectric formulations. These
dielectrics have the best temperature and voltage charac-
teristics of all the ceramics for a given value and size.
Output Voltage Programming
The output voltage is set by an external resistive divider
according to the following equation:
VV
R
R
OUT
=+
⎛
⎝
⎜⎞
⎠
⎟
08 1 2
1
.
The resistive divider allows the V
FB
pin to sense a fraction
of the output voltage as shown in Figure 2.
Figure 2. Setting the Output Voltage
LTC3416
SGND
R1
3416 F02
R2
V
FB
V
OUT
Voltage Tracking
The LTC3416 allows the user to program how its output
voltage ramps during start-up by means of the TRACK pin.
Through this pin, the output voltage can be set up to either