Method for regulating the acceleration of a turbomachine

A method for regulating an acceleration of a turbomachine, the turbomachine comprising a combustion chamber, a high-pressure turbine located downstream of the combustion chamber and which drives a high-pressure shaft in rotation, and a low-pressure turbine located downstream of the high-pressure turbine and which drives a low-pressure shaft in rotation, wherein the method comprises:

• injecting mechanical power onto the high-pressure shaft until a speed of the high-pressure shaft attains a target value via a first electrical machine, wherein the first electrical machine is an electric motor mode to inject mechanical power onto the high-pressure shaft;
• extracting mechanical power from the high-pressure shaft so as to maintain the speed at the target value via the first electrical machine, wherein the first electrical machine switches to an electrical generator mode to extract mechanical power from the high-pressure shaft;
• injecting mechanical power onto the low-pressure shaft via a second electrical machine, in parallel with extracting mechanical power from the high-pressure shaft via the first electrical machine, wherein the second electrical machine is in the electric motor mode to inject mechanical power onto the low-pressure shaft;
• and
• extracting mechanical power from the low-pressure shaft via the second electrical machine, in parallel with injecting mechanical power onto the high-pressure shaft via the first electrical machine, wherein the second electrical machine switches to the electrical generator mode to extract mechanical power from the low-pressure shaft.