Optimization technique for allocation scheme and low head hydroelectric power plant parameters

Abstract

The article deals with the formalized description of low head hydroelectric power plants and their cascades with the choice of technical and geometrical parameters’ optimization, optimality criteria and constraints that are imposed at optimization parameters. The goal of the work is to develop a method for optimizing the parameters of low head hydroelectric power plants, including determination of hydroelectric stations’ location in the cascade, and to create a computer model to solve the problem. Methods of mathematical modeling and methods of multicriteria optimization have been used. Formalized description of the problem of optimal placement of hydroelectric power plants on the river network is given. The following criteria are considered as optimality criteria: economic criterion (net present value, construction and operation costs), environmental criterion and energy criterion. The main parameters of low head hydroelectric power plants have been identified; the interrelations of these parameters with optimization criteria have been established. The method has been developed for optimizing the parameters of a hydroelectric power plant at their determined location on a watercourse. The following results have been obtained. 1) The problem of optimization of hydroelectric stations on a watercourse, which takes into account the energy, economic, social, environmental, water-energy and resource features of the region, is formulated and presented in the form of mathematical model. 2) Using the graph network and the corresponding vector values of the function, Pareto and minimax solutions of this problem have been found. 3) With the determined location of hydroelectric power station on a watercourse, method and algorithm have been developed for optimizing technical and geometrical parameters. Technical and economic models of the energy process at the hydroelectric power plant, as well as technical and economic models of the main and auxiliary equipment and facilities (dams, hydroelectric power station buildings, etc.) have been developed.