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.

Author Name: Zh. T. Bitaeva, Z. N. Murzabekov

URL: View PDF

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

ISSN: 2409-6121

EISSN: 2522-1361

EOI/DOI: https://doi.org/10.26577/phst.

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