Mathematical model analysis of nonlinear control systems of power turbines operating in condensation mode
Bitaeva Z.T. Murzabekov Z.N.
30 June 2021al-Farabi Kazakh State National University
Physical Sciences and Technology
2021#8Issue 1-241 - 46 pp.
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.
asymptotic stability , characteristic of nonlinearity , differential equation , Lyapunov function , mathematical model of a turbine , stability of a nonlinear system
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Al-Farabi Kazakh National University, Almaty, Kazakhstan
Al-Farabi Kazakh National University
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