Numerical approaches in a problem of management of hydroelectric resources

Abstract

In this paper we consider a simpli ed model for a system of hydro-electric power stations with reversible turbines. The objective of our work is to obtain the optimal pro t of power production satisfying restric- tions on the water level in the reservoirs. Two di erent numerical approaches are applied and compared. These approaches centers on a global optimization technique (Chen-Burer algorithm) and on a Projection Estimation Re nement method (Bushenkov' PER method) used to reduce the dimension of the problem.