Control of rotor speeds of turbojet twin-circuit engines of a twin-engine airplane in order to balance their thrust in flight

The questions related to the research of the model of functional dependence of the engines thrust on their operating parameters in the interests of reducing the asymmetry of the aircraft thrust due to the different thrust of its engines are considered. The purpose of the study is to control the rotor speeds of aircraft engines on the basis of a three-dimensional model of the dependence of 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 were used in the study. The results of the study showed and confirmed the possibility of balancing the thrust of aircraft engines when controlling the rotor speeds of its engines in flight. A three-dimensional model of engine thrust dependence on the values of rotational frequencies of its two rotors has been developed. This model allows to provide control of rotation frequencies of both rotors of the engine by means of additional fuel supply to them for 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 speed and direction of change of controlled values of frequencies.