METHOD FOR THE CALCULATION OF PROBABILITY DENSITY FUNCTION OF THREE-PARAMETER GAMMA DISTRIBUTION OF RIVER FLOW DISCHARGE RELATED TO HYDROPOWER TASKS

• Дата: 2019
• Автор: Ibragimova, M.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Renewable Energy National Academy of Sciences of Ukraine 2019
• Теми: flow discharge; probability; interpolation; probability density function; availability; distribution.
• Онлайн доступ: https://ve.org.ua/index.php/journal/article/view/217
• Назва журналу: Vidnovluvana energetika

Hydrocarbon deficit, increasing pressure on the environment and problems of resource availability are the major triggers for the transformation of energy industry worldwide. The development of small hydropower also should conform to the principles of rational use of water resources, river conservation and restoration, reducing the human impact, etc. The article focuses on a pressing issue of construction of small hydroelectric power plant with operation modes that comply sustainable water use taking into account environmental constraints on the use of water for electricity generation. The author presents the advantages of density function of probability distribution of river flow discharge over its cumulative probability as a means of analyzing performance indicators of small hydroelectric power plants. The review of previous studies of probability density function showed the absence of summarized results required for further practical applications of this function. There have been developed, for the first time, a method for the calculation of the probability density function of three-parameter Gamma distribution of river flow discharge at random coefficients of variation and asymmetry by cubic spline interpolation in the vicinity of the poles of Gamma function. The article contains the results of a study of probability Gamma distribution of river flow discharge in tabular form of relevant density function values.  These tables are recommended for hydropower engineering and design services when performing hydrological and hydrotechnical calculations. Ref. 18, tab. 3, fig. 3.