Flyback power-converting device with zero-voltage switching and method for flyback converting power with zero-voltage switching

A flyback power-converting device includes a transformer circuit, a clamp damping circuit, a first switch, a voltage-reducing circuit and a second switch. The clamp damping circuit and the first switch are coupled to the transformer circuit. The voltage-reducing circuit and the second switch are coupled in series between the clamp damping circuit and the transformer circuit. Through switching of the first switch, the transformer circuit converts an input power to generate a first converted voltage and to enable the clamp damping circuit to store an inductive energy. In addition, when the second switch is turned on, the clamp damping circuit releases the inductive energy to the transformer circuit via the voltage-reducing circuit, so that the transformer circuit generates a second converted voltage according to the inductive energy.