Disclosed are a voltage waveform detector, a power controller and a control method used therein, adaptive for a switched-mode power supply having a power switch and an inductive device. A disclosed power controller has a voltage waveform detector and a constant-current control unit. The voltage waveform detector estimates a discharge time of the inductive device when the power switch is turned off. In the voltage waveform detector, a differential capacitor is coupled between an input node of a comparator and a feedback node, at which the feedback voltage corresponds to a reflection voltage of the inductive device. The constant-current control unit integrates a current-detection signal over the discharge time to control a maximum output current of the switched-mode power supply.