SNVSAS5 March 2018 LMR23615-Q1
PRODUCTION DATA.
Choose the output capacitor(s), COUT, with care because output capacitance directly affects the steady-state output-voltage ripple, loop stability, and the voltage over/undershoot during load current transients.
The output ripple is essentially composed of two parts. One is caused by the inductor current ripple going through the ESR of the output capacitors:
The other is caused by the inductor current ripple charging and discharging the output capacitors:
The two components in the voltage ripple are not in phase, so the actual peak-to-peak ripple is smaller than the sum of two peaks.
Output capacitance is usually limited by transient performance specifications if the system requires tight voltage regulation with presence of large current steps and fast slew rate. When a fast large-load increase uccurs, output capacitors provide the required charge before the inductor current can slew up to the appropriate level. The regulator control loop usually needs six or more clock cycles to respond to the output voltage droop. The output capacitance must be large enough to supply the current difference for six clock cycles to maintain the output voltage within the specified range. Equation 16 shows the minimum output capacitance needed for specified output undershoot. When a sudden large load decrease happens, the output capacitors absorb energy stored in the inductor resulting in an output voltage overshoot. Equation 17 calculates the minimum capacitance required to keep the voltage overshoot within a specified range.
where
For this design example, the target output ripple is 50 mV. Presuppose ΔVOUT_ESR = ΔVOUT_C = 50 mV, and chose KIND = 0.4. Equation 14 yields ESR no larger than 83.3 mΩ and Equation 15 yields COUT no smaller than 0.9 μF. For the target over/undershoot range of this design, VUS = VOS = 5% × VOUT = 250 mV. The COUT can be calculated to be no smaller than 14 μF and 4.1 μF by Equation 16 and Equation 17, respectively. Consider of derating, one 33-μF, 16 V ceramic capacitor with 5 mΩ ESR is used.