Method for controlling a turbomachine comprising an electric machine

A control system—for controlling a turbomachine—comprising a gas generator comprising a combustion chamber, a low-pressure rotation shaft and a high-pressure rotation shaft, the turbomachine comprising at least one electric machine forming a device for injecting torque into/removing torque from one of said rotation shafts, said control system comprising a fuel control loop for determining a fuel flow setpoint into the combustion chamber, said fuel control loop comprising:

• a monitoring module for monitoring the turbomachine, configured to detect if at least one operability limit of said turbomachine is reached,
• a determination module, configured to determine a corrected fuel flow setpoint if said at least one operability limit is reached, said corrected fuel flow setpoint exhibiting a difference, referred to as the “flow difference”, in relation to the current fuel flow setpoint, said control system also comprising a torque control loop for determining a torque setpoint for said at least one electric machine, said torque control loop comprising:
• a first determination module, configured to determine a torque correction quantity as a function of said flow difference,
• a second determination module, configured to determine said torque setpoint as a function of said torque correction quantity
• wherein the torque correction quantity—is determined to be equal to:
• EC_DEB
• ×
• FHV
• ×
• η
• C
• ⁢
• _
• ⁢
• 1
• ×
• N
• expression in which:
• EC_DEB corresponds to the flow difference,
• FHV corresponds to the calorific value of the fuel,
• N corresponds to the speed of rotation of the rotation shaft into/from which torque is injected/removed by said at least one electric machine,
• C_1 is a constant value, and
• n corresponds to the efficiency of the gas generator.