LTC3412
10
3412fc
For more information www.linear.com/LTC3412
APPLICATIONS INFORMATION
Inductor Core Selection
Once the value for L is known, the type of inductor must
be selected. High efficiency converters generally cannot
afford the core loss found in low cost powdered iron
cores, forcing the use of more expensive ferrite, mol-
lypermalloy, or Kool Mµ
®
cores. Actual core loss is inde-
pendent of core size for a fixed inductor value but it is very
dependent on the inductance selected. As the inductance
increases, core losses decrease. Unfortunately, increased
inductance requires more turns of wire and therefore cop-
per losses will increase.
Ferrite designs have very low core losses and are pre-
ferred at high switching frequencies, so design goals can
concentrate on copper loss and preventing saturation.
Ferrite core material saturates “hard,” which means that
inductance collapses abruptly when the peak design cur-
rent is exceeded. This results in an abrupt increase in
inductor ripple current and consequent output voltage
ripple. Do not allow the core to saturate!
Different core materials and shapes will change the
size/current and price/current relationship of an induc-
tor. Toroid or shielded pot cores in ferrite or permalloy
materials are small and don’t radiate energy but generally
cost more than powdered iron core inductors with similar
characteristics. The choice of which style inductor to use
mainly depends on the price vs size requirements and any
radiated field/EMI requirements. New designs for surface
mount inductors are available from Coiltronics, Coilcraft,
Toko and Sumida.
CIN and COUT Selection
The input capacitance, C
IN
, is needed to filter the trapezoi-
dal current at the source of the top MOSFET. To prevent
large ripple voltage, a low ESR input capacitor sized for
the maximum RMS current should be used. RMS current
is given by:
IRMS =IOUT(MAX)
VOUT
VIN
VIN
VOUT
−1
This formula has a maximum at VIN = 2VOUT, where IRMS
= IOUT/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.
The selection of COUT is determined by the effective series
resistance (ESR) that is required to minimize voltage rip-
ple 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, ∆VOUT, is determined by:
ΔVOUT ≤ ΔILESR+1
8fCOUT
⎛
⎝
⎜⎞
⎠
⎟
The output ripple is highest at maximum input voltage
since ∆IL increases with input voltage. Multiple capacitors
placed in parallel may be needed to meet the ESR and
RMS current handling requirements. Dry tantalum, spe-
cial polymer, aluminum electrolytic and ceramic capaci-
tors 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 capaci-
tors 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
capacitors have excellent low ESR characteristics but can
have a high voltage coefficient and audible piezoelectric
effects. The high Q of ceramic capacitors with trace induc-
tance 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