Mathematical model analysis of nonlinear control systems of power turbines operating in condensation mode

Abstract

The work is dedicated to modeling&turbinecontrol systems and studying the stability of a nonlinear system. The dynamics of the turbine regulationsystem is described by a nonlinear&system of fourdifferential equations. This system of equations describes the mathematical model of a turbine operatingin condensing mode. Using the transformation&way, the mathematical model of thesteam turbineregulationsystem is reduced to the conclusion of a problem about the unconditional stability of a nonlinear stationary system of indirect control. In the study of a nonlinear system, the Lyapunov function was applied and the circumstances of unconditional stability were obtained. The conclusion of differential equations systems is executed in vector-matrix form. The results&obtained for a nonlinear system are&used to study the durability of a steam turbine. Numerical calculations are presented that illustrate the probability of using the proposed layout and studying the stability of nonlinear control systems for power turbines.

Keywords

• stability of a nonlinear system
• differential equation
• lyapunov function
• mathematical model of a turbine
• asymptotic stability