Яковлева-Гаврилюк, О. М. та Yakovleva-Havrylіuk, O. M. (2018) ЗАСТОСУВАННЯ АНАЛІТИЧНИХ МЕТОДІВ ПРИ ВИЗНАЧЕННІ ОПТИМАЛЬНИХ ДІАМЕТРІВ НАПІРНИХ ТУНЕЛІВ ГЕС. Вісник Національного університету водного господарства та природокористування (4(84)). с. 42-53.

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Анотація

Розглянуто аналітичні методи різних авторів для визначення оптимальних діаметрів напірних тунелів ГЕС, що розроблені на основі методу визначення порівняльної економічної ефективності. Проведено аналіз умов їх застосування для сучасних проектів ГЕС.

Title in English

ANALYTICAL METHODS USING IN DETERMINATION OF HPP’s TUNNELS OPTIMAL DIAMETERS

English abstract

In the paper comparative economic efficiency criteria (in the Anglosphere institutional economics as a productive efficiency) are considered for optimal sizes determination of HPP’s tunnels. The reduced cost of different energy objects (3) that generating electricity in grid are used as an objective function for optimal diameter definition. Two-part summary reduced cost function (4) is base for F.F.Gubin's (8) and M.F.Gubin's (11) analytical methods of HPP's tunnel optimal diameter definition. F.F.Gubin's two-part summary reduced cost function (4) include derivation cost (cost of building and exploitation tunnel) and cost of replaced Heat Power Plant (power plant which compensates for lost hydro power in grid due to head losses in the tunnel). Three-part summary reduced cost function (5) is base for Orloff's analytical method (12) of HPP's tunnel optimal diameter definition. Orloff included fuel cost for Heat Power Plant in reduced cost function additionally. The author offered to use the fourpart reduced cost function (6) for tunnel optimal diameter definition (13). The four-part reduced cost function consist derivation cost, replaced Heat Power Plant cost, fuel cost for Heat Power Plant and cost of hydropower house linked with tunnel. Reduced cost function differentiation and solution of the equation (7) allowed authors to obtain analytical methods for determining the optimal diameter of the HPP's tunnel. The equation (7) are encompassed by the more general engineering concept that either HPP's structure parameter is efficient or optimal when it minimizes total cost for power production by the power industry. There are calculations of Mtkvari HPP's tunnel optimal diameter by foresaid analytical methods. In the table presents results of calculations by the foresaid methods (8), (11), (12), (13), and by the Bundshu's method (9) and by the Schaveleff's empiric formula (10). A comparative analysis of the results given in table allowed the author to make the following conclusion. The full account of the replaced Heat Power Plant reduced cost, which requires running fuel costs, in the objective function of the summary reduced cost for the power tunnel, leads to an increase in the size of the facilities HPP, and in turn, to increase the participation of its power in the grid, in general. That is, incomplete consideration of compensation for head losses and, consequently, lost power of the HPP, leads to unreasonable use of more expensive energy resources Heat Power Plant.

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