The invention relates to an aircraft series-
hybrid electric propulsion
assembly, the propulsion
assembly comprising: - an electric turbogenerator (110) comprising at least one
turbine engine (112) and at least one generator (114) coupled to the
turbine engine; - a storage battery (125); - an HVDC
bus (130) coupled to the turbogenerator and to the battery (125), the turbogenerator (110) being connected to the HVDC
bus (130) via an alternating-current (AC) to direct-current (DC)
rectifier (116) connected to phases of the at least one generator (114), the battery (125) being connected directly to the high-
voltage direct-current (HVDC)
electrical network, the turbogenerator (110) and the battery (125) sharing the power required to supply the HVDC
bus (130); - a
control system (115) for controlling the
rectifier (116), the
control system being configured to control the
rectifier (116) and to manage electrical
power sharing provided on the HVDC bus (130) between the turbogenerator (110) and the battery (125) on the basis of the
setpoint control of at least the current (IBAT) delivered by the battery (125), by modulating the output
voltage (UBUS) of the rectifier (116) via at least one
control signal (CMD), in particular by pulse-width modulation.