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If the L value is increased or the output capacitor is made larger in order to suppress the ripple current, will these things affect phase compensation?
If the output L and C values are increased (changed), there will be an effect on the frequency (phase) characteristics of the power supply circuit. However, if the output L and C values are within the upper- and lower-limit ranges specified by the data sheet, then by adjusting the values of the phase compensation components, stable operation can be achieved.