A converter is provided including: a first switch; an energy transmitting element for converting input energy into output energy according to the switching of the first switch; and a switching controller for detecting a time when a voltage between a first terminal and a second terminal of the first switch reaches a valley of a resonance waveform, and actuating the first switch corresponding to one of the detected valleys of the resonance waveform. The switching controller includes: a valley detector for changing the state of the output signal whenever a voltage between a first terminal and a second terminal of the first switch reaches a valley of the resonance waveform; and a PWM controller for actuating the first switch corresponding to an output signal of the valley detector.