USE OF LOGRANGE EQUATIONS OF THE SECOND GENERAL FOR OBTAINING STATIC CHARACTERISTICS OF THE CENTRIFUGAL REGULATION

• Дата: 2021
• Автори: Shykhailov, М., Golovko, V., Kokhanievych, V.
• Формат: Стаття
• Мова: Ukrainian
• Опубліковано: Institute of Renewable Energy National Academy of Sciences of Ukraine 2021
• Теми: wind turbine; differential equations of wind turbine motion; centrifugal angular velocity regulator.; вітроустановка; диференційні рівняння руху вітроустановки; відцентровий регулятор кутової швидкості
• Онлайн доступ: https://ve.org.ua/index.php/journal/article/view/320
• Назва журналу: Vidnovluvana energetika

Low power wind turbines have a high value of the angular velocity of the rotor. In addition, it is also necessary to take into account the randomness of the nature of the wind flow and changes in its magnitude in a wide range. All these features require that low-power wind turbines, especially wind-driven wind turbines, be equipped with rotor angular speed control systems. Due to the fact that the main owners of wind turbines are individuals with limited territorial resources, wind turbines are mostly located in close proximity to buildings. Thus, among the many requirements for wind turbines, safety in operation comes to the fore, in addition to simplicity and low cost. Among the large number of control systems for low-power wind turbines, systems using centrifugal regulators of various designs meet these requirements to the greatest extent. Known means of their calculation require the choice of the appropriate general theorem of dynamics. In the case of systems with several degrees of freedom, the solution of problems is much more complicated, because it requires the combined application of some general theorems and other relations of dynamics, the choice of which sometimes causes considerable difficulties. When designing new control systems, design engineers need simplified methods for calculating the parameters of the regulator to determine the main mass and size indicators of the future design. In this paper we propose a system of differential equations of motion of the elements of the centrifugal regulator of the original design using Lagrange equations of the second kind. The solution of this system of equations at steady state allowed to obtain expressions for determining the parameters of the controller to ensure the nominal rotor speed and select the spring stiffness to ensure the required range of deviations of the rotor speed from the nominal value in a given range of control angles. These expressions can be used for similar in design centrifugal regulators of wind turbine rotors. Ref. 8, fig. 5.