IMMITATION MODEL OF A HYDRO TURBINE FOR COMPREHENSIVE MODELING OF HYDROELECTRIC POWER PLANT ELECTROMECHANICAL SYSTEM

• Дата: 2023
• Автори: Popovych, O., Golovan, I.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Renewable Energy National Academy of Sciences of Ukraine 2023
• Теми: hydraulic turbine; imitation model; comprehensive design; electromechanical system; polynomial approximation; dynamic mathematical models; steady-state operating conditions.
• Онлайн доступ: https://ve.org.ua/index.php/journal/article/view/398
• Назва журналу: Vidnovluvana energetika

An imitation mathematical model of a hydraulic turbine has been developed for comprehensive research and design of the elec-tromechanical system of a hydraulic power plant. The model is intended for studies in the simulation modeling system, taking into account the mutual influence of the components of the system and determining the efficiency criterion of the entire electrical complex, which is the ratio of the final useful action of the system to the volume of consumed resources. The turbine model determines the values of its head and torque based on input information about the flow rate, velocity, and guide vane opening. The turbine model is integrated into a comprehensive model of the hydraulic power plant to determine water flow rates and rotational speeds of the moving parts of the system based on the calculation of equations of motion equilibrium for the electromechanical and hydraulic components of the system. The turbine model is constructed using reference information on its universal characteris-tics within the assumptions of turbomachinery similarity theory. The model consists of second-order polynomial dependencies for head and efficiency as functions of flow rate, velocity, and guide vane opening. The algorithm for constructing polynomials involves approximating the head characteristics at constant guide vane openings to determine the polynomial coefficients and further approximating the dependencies of these coefficients as a function of the guide vane opening value. The calculation of the coeffi-cient values of the approximation polynomials is performed by minimizing the mean square deviation from the original tabular dependence. The model has been tested on a small-scale hydroelectric power plant example with a 250 kW propeller turbine. The possibility of optimization studies of the structural and operational parameters of the hydroelectric power plant components is demonstrated by varying its static head, electrical load, and guide vanes opening.