A rectifier system for a primary AC electrical power distribution system comprising a PFC circuit connected onto the primary distribution system which delivers a DC power supply and means for storing electrical energy connected to the outputs of the PFC via a switching circuit. This circuit is controlled in such a manner as to effect either the discharge of the electrical energy stored in the storage means onto the DC power supply line, or the charging of the storage means by the DC power supply line. A first control circuit determines the state of operation of the switching circuit by comparing the value of the voltage on the power supply line with a first reference voltage. A second control circuit regulates the power delivered by the PFC over the power supply line by comparing the voltage present at the output of the storage means with a second reference voltage.