A flyback power converter includes: a transformer, a primary side switch and a primary side controller circuit. The primary side controller circuit includes: a pulse modulation circuit and a protection control circuit. The pulse modulation circuit generates a pulse modulation signal. The protection control circuit is coupled to the pulse modulation circuit and compares an AC voltage related signal with an over voltage threshold. When the AC voltage related signal exceeds the over voltage threshold, the comparison circuit generates an over voltage protection trigger signal. When the pulse number of the over voltage protection trigger signal exceeds the over voltage counting threshold, the over voltage counter circuit triggers an over voltage protection signal, to indicate that an over voltage condition occurs, and a protection operation is performed.