A method for managing operation of an aircraft system comprising at least one electrical energy storage assembly to supply with direct current connected to a direct current power supply bus (DC_BUS), at least one electrical machine being an alternative current source through mechanical draw on a drive system connected to a current generation control unit, a bidirectional converter configured to convert DC voltage into AC voltage, and a control module for the converter, the management method being characterised in that: the management method formulates a command for the converter from the angular position (θ) of the electrical machine, from the intensity (I_m) of the electrical current delivered by the electrical machine, and from the output electrical voltage (Vs) of the converter, the elements of the system being connected by electrical connections, the formulation of the command for the converter comprises the following steps: - breakdown of the electrical intensity (I_m) of the electrical current delivered by the electrical machine, into an active intensity (Ia_m) of the electrical machine and a reactive intensity (Ir_m) of the electrical machine; - limitation of the active intensity (Ia_m) and of the reactive intensity (Ir_m) such that the corresponding intensity (I_m) of the electrical current delivered by the electrical machine is lower than a threshold (I_max), by formulation of a limitation setpoint (Ia_lim) of the active intensity (Ia_m) and of a limitation setpoint (Ir_lim) of the reactive intensity (Ir_m); - management of rapid variation of the intensity (I_m) of the electrical current delivered by the electrical machine, corresponding to variations, of which the time constant is greater than the time constant of a transfer function of high-pass type, by formulation of a variation setpoint (Ia_réseau) of the active intensity (Ia_m) and of a variation setpoint (Ir_réseau) of the reactive intensity (Ir_m); - formulation of a reactive intensity (Ir_m) setpoint (Ir_ref) by summation of the limitation setpoint (Ir_lim) of the reactive intensity and of the variation setpoint (Ir_réseau) of the reactive intensity; - formulation of an active intensity (Ia_m) setpoint (Ia_ref) by summation of the limitation setpoint (Ia_lim) of the active intensity and of the variation setpoint (Ia_réseau) of the active intensity; and - generation of a command for the converter from the active intensity setpoint (Ia_ref), from the reactive intensity setpoint (Ir _ref), from the angular position (θ) of the electrical machine, and from the output electrical voltage of the converter. - breakdown of the electrical intensity (I_m) of the electrical current delivered by the electrical machine, into an active intensity (Ia_m) of the electrical machine and a reactive intensity (Ir_m) of the electrical machine; - limitation of the active intensity (Ia_m) and of the reactive intensity (Ir_m) such that the corresponding intensity (I_m) of the electrical current delivered by the electrical machine is lower than a threshold (I_max), by formulation of a limitation setpoint (Ia_lim) of the active intensity (Ia_m) and of a limitation setpoint (Ir_lim) of the reactive intensity (Ir_m); - management of rapid variation of the intensity (I_m) of the electrical current delivered by the electrical machine, corresponding to variations, of which the time constant is greater than the time constant of a transfer function of high-pass type, by formulation of a variation setpoint (Ia_réseau) of the active intensity (Ia_m) and of a variation setpoint (Ir_réseau) of the reactive intensity (Ir_m); - formulation of a reactive intensity (Ir_m) setpoint (Ir_ref) by summation of the limitation setpoint (Ir_lim) of the reactive intensity and of the variation setpoint (Ir_réseau) of the reactive intensity; - formulation of an active intensity (Ia_m) setpoint (Ia_ref) by summation of the limitation setpoint (Ia_lim) of the active intensity and of the variation setpoint (Ia_réseau) of the active intensity; and - generation of a command for the converter from the active intensity setpoint (Ia_ref), from the reactive intensity setpoint (Ir _ref), from the angular position (θ) of the electrical machine, and from the output electrical voltage of the converter.