Bi-objective dynamic programming for trading off hydropower and irrigation

Abstract

Reservoir management is examined from the bicriterion viewpoints of hydropower generation and irrigation. Specifically, a decision support system is developed which includes constructing the set of non-inferior solutions, using the constraint, penalty and weighting methods. The reservoir operation model, as well as the optimization and simulation software, were initially provided by the R & D Division of the French Electrical Utility (Electricité de France); the method is based on a Stochastic Dynamic Programming—SDP—model with daily time steps, using 50 annual values of daily historical inflows and marginal electricity production costs. The water requirement for irrigation is taken either as preset using a demand curve, or as a soil reservoir model based on SDP and running simultaneously with the reservoir model. The model yields trade-off curves of electrical production losses versus, respectively, irrigated surface area, crop yield, and agricultural benefits. A numerical application illustrates the methodology in the French case of the Bort reservoir, in the Dordogne valley. The model reveals that releasing water for irrigation could present economic advantages within certain constraints on maximum irrigated surface area and minimum water price. Consequently, the current economic justification of single purpose reservoir management for hydropower ought to be changed. Negotiation should be initiated for the purpose of selecting one of the non-dominated reservoir management policies, hereby minimizing the distance of the “most preferred” solution point from the ideal one or by using the Nash cooperative game solution. Multicriterion decision-making seems to be a promising operational management tool for hydrosystems.