Numerical approach to a problem of hydroelectric resources management

Abstract

In this paper we consider a simplified model for a system of hydro-electric power stations with reversible turbines. The objective of our work is to obtain the optimal profit of power production satisfying restrictions on the water level in the reservoirs. Two different numerical approaches are applied and compared. These approaches center on global optimization techniques (Chen-Burer algorithm) and on Projection Estimation Refinement method (PER method) used to reduce the dimension of the problem.