A power supply that performs output PWM control and PSM control. The PWM control is performed when the required output is such that a control signal is set with a larger ON pulse width than a predetermined narrow pulse width allowing for sufficient activation of switching elements in an inverter circuit and an auxiliary switching circuit. The PSM control is performed when the required output is such that the control signal for each switching element is set with a smaller ON pulse width than the predetermined narrow pulse width. The PSM control adjusts the phase of a control pulse signal so that the ON pulse is fixed to the predetermined narrow pulse width.