Техническая Спецификация для STMicroelectronics Evaluation board for A5970AD EVALA5970AD EVALA5970AD

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DocID14661 Rev 5
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A5970AD
Application information
42
8 Application 
information
8.1 Component 
selection
Input capacitor
The input capacitor must be able to support the maximum input operating voltage and the 
maximum RMS input current.
Since step-down converters draw current from the input in pulses, the input current is 
squared and the height of each pulse is equal to the output current. The input capacitor has 
to absorb all this switching current, which can be up to the load current divided by two (worst 
case, with duty cycle of 50%). For this reason, the quality of these capacitors has to be very 
high to minimize the power dissipation generated by the internal ESR, thereby improving 
system reliability and efficiency. The critical parameter is usually the RMS current rating, 
which must be higher than the RMS input current. The maximum RMS input current (flowing 
through the input capacitor) is:
Equation 17
Where 
 is the expected system efficiency, D is the duty cycle and I
O
 is the output DC 
current. This function reaches its maximum value at D = 0.5 and the equivalent RMS current 
is equal to I
O
 divided by 2 (considering 
 = 1). The maximum and minimum duty cycles are:
Equation 18
and
Equation 19
Where V
F
 is the freewheeling diode forward voltage and V
SW
 the voltage drop across the 
internal PDMOS. Considering the range D
MIN
 to D
MAX
, it is possible to determine the max. 
IRMS going through the input capacitor. 
I
RMS
I
O
D
2 D
2
----------------
D
2
2
-------
+
=
D
MAX
V
OUT
V
F
+
V
INMIN
V
SW
-------------------------------------
=
D
MIN
V
OUT
V
F
+
V
INMAX
V
SW
--------------------------------------
=