ОСОБЛИВОСТІ ЗАСТОСУВАННЯ ЧИСЛОВОГО МЕТОДУ РІШЕННЯ МАТЕМАТИЧНОЇ МОДЕЛІ НЕСТАЦІОНАРНИХ ЕЛЕКТРОМЕХАНІЧНИХ ПРОЦЕСІВ У СИСТЕМІ ВІТРОЕЛЕКТРИЧНА УСТАНОВКА – ЕЛЕКТРОГІДРАВЛІЧНИЙ НАСОС СТАНЦІЇ ОПРІСНЕННЯ МОРСЬКОЇ ВОДИ

• Видавець: Institute of Renewable Energy National Academy of Sciences of Ukraine
• Дата: 2023
• Автори: Vasko, P., Mazurenko, I.
• Формат: Стаття
• Мова: Ukrainian
• Опубліковано: Institute of Renewable Energy National Academy of Sciences of Ukraine 2023
• Теми: wind power plant; hydraulic pump; differential equation; mathematical model; non-stationary process; error; numerical method.; вітроелектрична установка; гідравлічний насос; диференціальне рівняння; математич-на мо-дель; нестаціонарний процес; похибка; числовий метод.
• Онлайн доступ: https://ve.org.ua/index.php/journal/article/view/386

The relevance of the task of desalination of sea water in industrial volumes within the framework of the European program "2x40 GW Green Hydrogen Initiative" is highlighted, according to which in Ukraine it is planned to build 10 GW of electrolyser capacity for the production of "green" hydrogen using the energy of offshore wind power plants in the Azov-Black Sea region. The structural diagram of the power supply of the electrohydraulic pumps of the seawater desalination station for the electrolyzer from wind power plants is considered. The research object is represented by a two-mass dynamic system of rotary motion, which functions under the influence of a stochastic change in wind speed. One of the inertial components contains a wind turbine with a generator, and the other – a hydraulic pump driven by an electric motor. The interaction of the components is carried out through the power transmission line. Operational switching operations and the functioning of regulators are accompanied by the occurrence of transient shortterm and longterm processes. The course of non-stationary processes is described by a system of differential equations, which is classified as rigid due to the significant difference in the time constant values of the elements of the technological circuit of the power supply of hydraulic pump engines. The peculiarities of the application of the numerical method of integrating the mathematical model were considered on the basis of a test problem with a stiffness factor of the system equal to 1000. The use of explicit and implicit numerical methods with the analysis of the integration error in the boundary layer of shortterm control and switching disturbances and on the duration interval of the wind speed gust was studied. The software implementation of the methods in the Matlab and Mathcad application packages was used, using the functions of automatic construction of the Jacobi matrix. The issue of testing numerical methods at a time interval of 600 seconds to obtain statistically stable values of energy indicators of the power supply system based on wind power plants is discussed.