Identification Method for Nonlinear Dynamic Models of Gas Turbine Engines on Acceleration Mode

Abstract

The form and identification method of nonlinear dynamic gas turbine models on acceleration mode on the base of experimental transition processes is proposed. The nonlinear dynamic model of a gas turbine engine is represented as a system of nonlinear differential equations as in the normal form of Cauchy. The parameters of the system of differential equations are presented as a function of the acceleration parameter α, and the identification method is based on the determination of parameter α using numerical optimization method, allowing to simulate an acceleration mode with high accuracy. The experimental data are approximated by cubic splines for reduction of identification errors. The developed fast-calculating real-time nonlinear dynamic model is approved to implement in the software for hardware-in-the-loop test-beds and in the on-board software for automatic control systems of gas turbines.