A method for converting the electricity provided by an energy source delivering a first direct voltage (Vce) and a first direct current (Ice) having first respective values into output electricity at a second direct voltage (Vs) and a second direct current (Is) having second respective values, the method consisting of a) subjecting the first current (Ice) to an inversion operation to form a third alternating current (Ie) at a third voltage (Ve), said third current at said third voltage being mono- or polyphase, b) changing, through a conversion operation, the value of said third voltage (Ve), or the value of each phase thereof, to obtain at least one converted voltage having said second value while simultaneously, the current at said converted voltage is rectified in at least one conversion unit while being subjected to magnetic switching using first and second saturable induction coils (Lsat1, Lsat2), c) said saturable induction coils (Lsat1, Lsat2) being connected in a serial rectifying circuit made up of said first saturable induction coil (Lsat1), first and second head-to-tail power diodes (D1, D2) and the second of the saturable induction coils (Lsat2), the two power diodes (D1, D2) being shunted by two head-to-tail regulating diodes (d1, d2) with rectification directions opposite those of the two power diodes (D1, D2), d) said serial circuit being connected to receive said converted voltage and to deliver said electricity in the form of at least part of said second direct current (Is), the method also consisting of e) regulating, during each cycle of the converted voltage, the moments of the magnetic switching by injecting, through said regulating diodes (d1, d2), a control voltage (Vc) created as a function of the variations of said second voltage (Vs), and f) controlling, for a first portion of each of said cycles, under the effect of the saturation of said first saturable induction coil (Lsat), the conduction of said first power diode, and controlling, for a second portion of each concerned cycle, under the effect of the saturation of said second saturable induction coil (Lsat2), the conduction of said second power diode, the saturation moments being determined during that cycle as a function of said control voltage (Vc), said method being characterized in that g) it also consists, during said first portion of said cycle, of blocking said second power diode by conducting said first power diode, and during said second portion of the considered cycle, of blocking said first power diode by conducting said second power diode, so as to create a phase shift (∂) between said third voltage (Ve) and said third current (Ie) or between the voltage and the current of each phase thereof, the phase shift angle depending on said control voltage (Vc), and in that the method steps b), e), f) and g) are carried out, if applicable, for each phase of said third voltage (Ve). a) subjecting the first current (Ice) to an inversion operation to form a third alternating current (Ie) at a third voltage (Ve), said third current at said third voltage being mono- or polyphase, b) changing, through a conversion operation, the value of said third voltage (Ve), or the value of each phase thereof, to obtain at least one converted voltage having said second value while simultaneously, the current at said converted voltage is rectified in at least one conversion unit while being subjected to magnetic switching using first and second saturable induction coils (Lsat1, Lsat2), c) said saturable induction coils (Lsat1, Lsat2) being connected in a serial rectifying circuit made up of said first saturable induction coil (Lsat1), first and second head-to-tail power diodes (D1, D2) and the second of the saturable induction coils (Lsat2), the two power diodes (D1, D2) being shunted by two head-to-tail regulating diodes (d1, d2) with rectification directions opposite those of the two power diodes (D1, D2), d) said serial circuit being connected to receive said converted voltage and to deliver said electricity in the form of at least part of said second direct current (Is), the method also consisting of e) regulating, during each cycle of the converted voltage, the moments of the magnetic switching by injecting, through said regulating diodes (d1, d2), a control voltage (Vc) created as a function of the variations of said second voltage (Vs), and f) controlling, for a first portion of each of said cycles, under the effect of the saturation of said first saturable induction coil (Lsat), the conduction of said first power diode, and controlling, for a second portion of each concerned cycle, under the effect of the saturation of said second saturable induction coil (Lsat2), the conduction of said second power diode, the saturation moments being determined during that cycle as a function of said control voltage (Vc), said method being characterized in that g) it also consists, during said first portion of said cycle, of blocking said second power diode by conducting said first power diode, and during said second portion of the considered cycle, of blocking said first power diode by conducting said second power diode, so as to create a phase shift (∂) between said third voltage (Ve) and said third current (Ie) or between the voltage and the current of each phase thereof, the phase shift angle depending on said control voltage (Vc), and in that the method steps b), e), f) and g) are carried out, if applicable, for each phase of said third voltage (Ve).