Subharmonic Instability Limits for the Peak-Current-Controlled Buck Converter With Closed Voltage Feedback Loop

This paper presents the derivation and experimental verification of the closed-form subharmonic instability condition of the constant-frequency peak-current-controlled buck converter with closed voltage feedback loop. The well-known open-voltage-loop instability condition becomes a special case. The instability limits in the converter parameter space are readily obtained from the result. It is found that closing the voltage feedback loop tends to degrade the stability margin. One can clearly see the effects of all converter parameters (such as the pole, zero, and gain of the voltage-loop compensator, the equivalent series resistance of the output capacitor, the presence of a second output capacitor, and the switch turn-off delay) on the instability.