Method for determining probabilistic estimates of the specific fuel consumption of a gas turbine engine as a part of arable unit

The article describes the method for determining the probabilistic estimates of the specific fuel consumption of a gas turbine engine as a part of arable unit. When justifying mathematical models for determining probabilistic estimates of the specific fuel consumption of the gas turbine engine, the method of the random argument function of professor L. Ageev was implemented. To improve the accuracy of calculations in determining the probabilistic estimates of the specific fuel consumption of a gas turbine engine correction factors (or functions) and formulas for their determination are proposed. The mathematical expectation of the specific fuel consumption, the inverse of the normally distributed argument, in this case the effective power of the gas turbine engine is not equal to the reciprocal of the mathematical expectation of the argument. This inequality varies depending on the coefficient of variation of effective power, which should also be taken into account when determining the dispersion and the standard deviation of the specific fuel consumption of the gas turbine engine. Experimental studies of arable unit consisting of a gas turbine tractor (GTT) with GTD-350T gas turbine engine and a mounted plow with variable width PNI-8 / 9-40, to verify the reliability of mathematical models of probabilistic estimates of the specific fuel consumption of the gas turbine engine, were conducted in the fields of training and experimental household of the Saint-Petersburg State Agrarian University. The proposed method allows to determine the average and optimal values of the mathematical expectation, variance, standard deviation and coefficient of variation of the effective specific fuel consumption of the gas turbine engine in the composition of various agricultural units.

gas turbine engine, specific fuel consumption, arable unit, effective power, gas turbine tractor