Method for controlling the supply of fuel to a combustion chamber of a turbine engine, fuel supply system and turbine engine

A circuit for supplying a turbomachine with fuel, the fuel circuit including:

• a pilot injection line for supplying a pilot part of an injection system of a combustion chamber of the turbomachine,
• a main injection line for supplying a main part of the injection system of the combustion chamber,
• a fuel supply distributing device configured to control fuel distribution between the pilot injection line and the main injection line,
• a control unit able to control the supply distributing device and to make a measurement of some hydraulic quantities of the supply circuit,
• the control unit being configured to control the distributing system so as to provide transition of the supply distribution between the pilot injection line and the main injection line from a first distribution value to a second distribution value over a corresponding period of time (tt), the supply distribution having the second distribution value at the end of the corresponding period of time,
• the fuel supply circuit wherein the control unit is further configured to, upon controlling by the fuel distributing system to perform transition of supply distribution from a first distribution value to a second distribution value for which the fuel distribution of the pilot injection line is reduced relative to that of this same pilot injection line for the first distribution value, implement the following steps of:
• a) determining at least one minimum value to be maintained of a pressure quantity of the supply circuit for at least one part of the corresponding period of time (tt),
• b) determining at least one hydraulic quantity of the supply circuit,
• c) calculating, from the determined hydraulic quantity of the supply circuit, a calculated distribution value of fuel supply corresponding to the minimum value to be maintained of the pressure quantity, the calculated distribution value being chosen from a range of values defined between the first distribution value and the second distribution value, said range of values including the first and second distribution values,
• d) switching the supply distribution to the calculated supply distribution value,
• the control unit being further configured to successively repeat steps b) to d) for the whole duration of the corresponding period of time (tt).