A power conversion apparatus including a current source converter configured to convert Alternate Current (AC) power to Direct Current (DC) power; a power controller configured to set a d-axis current command and a q-axis current command, which correspond to the AC power to the current source converter, by reflecting a difference between a measurement DC link voltage measured at an output terminal of the current source converter and a DC link voltage set by a DC link voltage command; and a phase angle controller configured to adjust a phase angle of the current source converter and transmit the adjusted phase angle to the current source converter, in response to the d-axis current command and the q-axis current command.