The invention relates to a method for converting alternating current into direct current implemented by a conversion device that comprises a three-phase bridge in which at least one arm is comprised of a first switch and of a second switch mounted in series, with the method comprising a step of regulating the direct voltage output by the conversion device, characterized in that it comprises a transition step which precedes the regulation step, with the transition step comprising the formation of signals for controlling first and second switches capable of limiting the amplitude of the inrush currents when switching the conversion device to the alternative network.