Control of Rotor Speeds of Turbojet Twin-Circuit Engines of a Twin-Engine Airplane in Order to Balance Their Thrust in Flight

Questions related to the research of the model of functional dependence of the engine thrust on their operating parameters to reduce the asymmetry of the aircraft thrust due to the different thrust of its engines are considered. The aim of this study is to control the rotor speeds of aircraft engines on the basis of a three-dimensional model of the dependence of the engine thrust on their rotor speeds of turbine rotors of low-pressure compressors and high-pressure compressors. Methods of mathematical statistics and hardware-software modeling are used in the study. The results of the study show and confirm the possibility of balancing the thrust of aircraft engines when controlling the rotor speeds of its engines in flight. A three-dimensional model of the engine thrust’s dependence on the values of rotational frequencies of its two rotors is developed. This model allows providing the control of the rotation frequencies of both rotors of the engine by the additional fuel supply to them for the formation of new values of these frequencies according to the results of comparative estimation of their values, taking into account the values of their first derivatives as sign-variable special corrections providing automatic control of the speed and direction of change of the controlled frequencies values.