On the Application of Functional Analysis to the Optimization of the Production of Hydroelectric Power

This paper presents a new approach the authors have used for solving the optimal long-term problem of a hydro power system for maximum expected benefits (benefits from energy generated by a hydro power system over the planning period plus the expected future returns from water left in storage at the end of that period). The problem is formulated as a minimum norm problem in the framework of functional analytic optimization technique. The proposed method takes into account the stochasticity of the water inflows, we assume that their probability properties are pre-estimated from past history. Numerical results are presented for a real system in operation consisting of three rivers; each river has two series reservoirs. The computing time using this approach is very small compared to that of other approaches.