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

• Zh. T. Bitaeva Al-Farabi Kazakh National University, Kazakhstan, Almaty
• Z. N. Murzabekov Al-Farabi Kazakh National University, Kazakhstan, Almaty

Abstract

The work is dedicated to modeling&turbine control systems and studying the stability of a nonlinearsystem. The dynamics of the turbine regulation system 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 the steamturbineregulation system is reduced to the conclusion of a problem about the unconditional stability of anonlinear stationary system of indirect control. In the study of a nonlinear system, the Lyapunov functionwas applied and the circumstances of unconditional stability were obtained. The conclusion of differentialequations systems is executed in vector-matrix form. The results&obtained for a nonlinear systemare&used to study the durability of a steam turbine. Numerical calculations are presented that illustratethe probability of using the proposed layout and studying the stability of nonlinear control systems forpower turbines.
Key words: stability of a nonlinear system, differential equation, Lyapunov function, mathematicalmodel of a turbine, asymptotic stability, characteristic of nonlinearity.
How to Cite
BITAEVA, Zh. T.; MURZABEKOV, Z. N.. Mathematical model analysis of nonlinear control systems of power turbines operating in condensation mode. Physical Sciences and Technology, [S.l.], v. 8, n. 1-2, p. 41-46, july 2021. ISSN 2409-6121. Available at: <https://phst.kaznu.kz/index.php/journal/article/view/249>. Date accessed: 19 jan. 2022. doi: https://doi.org/10.26577/phst.2021.v8.i1.05.
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Section
Thermal Physics and Related Techology