УДОСКОНАЛЕНА МАТЕМАТИЧНА МОДЕЛЬ ДИНАМІКИ РІВНЯ РІДИНИ В БАРАБАННОМУ ПАРОГЕНЕРАТОРІ ЯК ОБʼЄКТІ КЕРУВАННЯ

• Date: 2025
• Main Authors: Klymchuk, A.A., Lozhechnikov, V.F., Mykhailenko, V.S., Lozhechnikova, N.V.
• Format: Article
• Language: English
• Published: V.M. Glushkov Institute of Cybernetics of NAS of Ukraine 2025
• Subjects: барабанний парогенератор; енергетичний барабанний котел; автоматична система регулювання рівня пароводяної суміші; математична модель; технологічна ділянка живлення парогенератора
• Online Access: https://jais.net.ua/index.php/files/article/view/652
• Journal Title: Problems of Control and Informatics

The features of mathematical modeling of the dynamic properties of the level of a steam-water mixture in a drum-type steam generator are considered. It is shown that the boiling up of the level of the steam-water mixture in the drum-type steam generator, which is extremely unfavorable for automatic control systems, is a consequence of the occurrence of complex thermophysical processes and the design features of the technological section. Therefore, the use of mathematical models for modeling the level dynamics, which do not take into account the effect of the accumulating and throttling properties of the steam line on the saturated vapor flow from the steam generator, and the main disturbing action (steam consumption) is considered as an independent variable, is not correct. The article proposes a linear mathematical model of the power supply section of the drum steam generator, which takes into account the dynamic properties of the steam line connecting the steam generator with the consumer. Analysis of the structural scheme of the proposed mathematical model showed that between the drum-type steam generator and the steam line there is an inverse relationship with steam consumption. The negative nature of this connection explains the self-leveling associated with a change in the position of the steam flow control valve or heat generation in the combustion chamber. Accordingly, a change in the flow area of the turbine control valve, without changing the heat release by the heat load regulator in the combustion chamber or nuclear reactor, leads to a temporary change in steam consumption. This leads to less intense boiling up of the level and its transition to a new steady-state value. Stabilization of the level occurs below the initial value due to a brief disruption of the balance between the feedwater supply to the steam generator and the extraction of steam. Identified, as a result of solving a system of differential equations, the peculiarities of the behavior of the steam-water mixture level make it possible to simulate more adequately the operation of existing and prospective power management systems for drum-type steam generators.