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

Abstract

The work is dedicated to modeling&turbine control systems and studying the stability of a nonlinear
system. The dynamics of the turbine regulation system is described by a nonlinear&system of four
differential equations. This system of equations describes the mathematical model of a turbine operating
in condensing mode. Using the transformation&way, the mathematical model of the steam
turbineregulation system 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.

Key words: stability of a nonlinear system, differential equation, Lyapunov function, mathematical
model of a turbine, asymptotic stability, characteristic of nonlinearity.