Method for controlling a turbine engine comprising an electric machine

A method for controlling a turbine engine comprising a fan positioned upstream of a gas generator and delimiting a primary flow and a secondary flow, said gas generator being traversed by the primary flow and comprising a low-pressure compressor, a high-pressure compressor, a combustion chamber, a high-pressure turbine and a low-pressure turbine, said low-pressure turbine being connected to said low-pressure compressor by a low-pressure rotation shaft and said high-pressure turbine being connected to said high-pressure compressor by a high-pressure rotation shaft, the turbine engine being configured to be in a transient phase or in a stabilized phase, the turbine engine comprising an electric machine configured to apply a torque to the low-pressure rotation shaft or to the high-pressure rotation shaft during the transient phase, wherein a fuel flow rate setpoint in the combustion chamber and an electrical torque setpoint supplied to the electric machine are determined, the method comprising:

• determining the fuel flow rate setpoint with a first fuel control loop,
• determining the electrical torque setpoint with a second torque control loop, and
• determining the electrical torque setpoint from a determined transient torque setpoint, a previous electrical torque setpoint, and a transient phase indicator with the second torque control loop, wherein
• the second torque control loop is configured when the transient phase indicator is inactive, to determine that the electrical torque setpoint is equal to a control setpoint, and wherein the control setpoint is determined from a previous control setpoint, a time constant, and the previous electrical torque setpoint according to a decreasing mathematical model of the first order.