Method for converting alternating current into direct current implemented by a conversion device that comprises a three-phase bridge able to convert into direct voltage (V dc) at least one alternating input voltage (V a, V b, V c), with the three-phase bridge comprising at least one arm comprised of a first switch (Z 1) and of a second switch (Z 2) mounted in series, with each switch having a control input able to control the opening or the closing of the switch, the method comprising a step of regulating the direct voltage and a transition step which precedes the regulation step, with the transition step comprising the formation, using the alternating input voltage (V a, V b, V c), of a first signal applied to the control input of the first switch and of a second signal applied to the control input of the second switch in such a way that: a) during the negative alternations of the alternating input voltage, the first signal is a pulse signal of which the width of the successive pulses widens progressively as a function of time, which opens and closes the first switch (Z 1), and the second signal is a continuous signal that keeps the second switch open (Z 2), and b) during the positive alternations of the alternating input voltage, the first signal is a continuous signal that keeps open the first switch (Z 1) and the second signal is a pulse signal of which the width of the successive pulses widens progressively as a function of time, which opens and closes the second switch (Z 2), characterized in that the formation, using the alternating input voltage (V a, V b, V c), of said first signal and of said second signal comprises: - a generation of successive pulses of which the width widens progressively as a function of time, - a formation, using the alternating input voltage, of a level 1 logic signal for the positive alternations of the alternating input voltage and of level 0 for the negative alternations of the alternating input voltage, - an inversion of the logic signal in order to form an inverted logic signal, - a formation of the second signal using a first logic AND circuit which receives on a first input said pulses and on a second input the logic signal, and - a formation of the first signal using a second logic AND circuit that receives on a first input said pulses and on a second input the inverted logic signal. a) during the negative alternations of the alternating input voltage, the first signal is a pulse signal of which the width of the successive pulses widens progressively as a function of time, which opens and closes the first switch (Z 1), and the second signal is a continuous signal that keeps the second switch open (Z 2), and b) during the positive alternations of the alternating input voltage, the first signal is a continuous signal that keeps open the first switch (Z 1) and the second signal is a pulse signal of which the width of the successive pulses widens progressively as a function of time, which opens and closes the second switch (Z 2), - a generation of successive pulses of which the width widens progressively as a function of time, - a formation, using the alternating input voltage, of a level 1 logic signal for the positive alternations of the alternating input voltage and of level 0 for the negative alternations of the alternating input voltage, - an inversion of the logic signal in order to form an inverted logic signal, - a formation of the second signal using a first logic AND circuit which receives on a first input said pulses and on a second input the logic signal, and - a formation of the first signal using a second logic AND circuit that receives on a first input said pulses and on a second input the inverted logic signal.