Application of Functional Analysis to Optimization of a Variable Head Multireservoir Power System for Long‐Term Regulation

Abstract

Functional analysis and minimum norm formulation are employed for solving the optimal long‐term problem of a hydro power system for maximum total 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 proposed method takes into account the stochasticity of the river inflows; we assume that their probability properties are preestimated from past history. The adequate fulfillment of other system functions such as flood control and water supply is guaranteed via constraints on storage and release variables. Numerical results are presented for a real system in operation consisting of three rivers; each river has two series reservoirs.

An augmented Lagrange programming optimization neural network for short-term hydroelectric generation scheduling

“…The main solution techniques employed have been dynamic programming (Chang et al 1990, Yeh et al 1992, maximum principle (Dahlin and Shen 1996), functional analysis (Soliman and Christensen 1986) and mathematical decomposition (Kumar et al 1979, Soares et al 1980, Pereira and Pinto 1983, Wang and Shahidehpour 1993. Quite promising results in terms of fuel cost savings have been reported in most works.…”

Goal-Attainment Method Based on Simulated Annealing Technique for Economic-Environmental-Dispatch of Hydrothermal Power Systems with Cascaded Reservoirs

“…Most of the methods that have been used to solve the hydrothermal co-ordination problem make a number of simplifying assumptions in order to make the optimization problem more tractable. Some of these solution methods are dynamic programming [6], functional analysis [7], network flow [8] and mathematical decomposition [9]. Recently simulated annealing technique [10], evolutionary programming technique [11], and genetic algorithm [12] have been applied separately for optimal hydrothermal scheduling problem and circumvented the above-mentioned weakness.…”

A short review study on problems during hydro-thermal optimal scheduling

“…Within this paper two issues are tested as well as the outcome demonstrates that the approach executes perfectly within an artificial parallel processing environment, along with high speed up is actually obtained. The algorithms tend to be developed in FORTRAN [3]. An AL strategy which incorporates as well, transmission restrictions as well as pumped-storages units is actually discussed in this paper.…”

“…Many techniques have now been designed to solve optimal scheduling issue in the past decades. The most important technique includes the variation calculus [2], function analysis [3] dynamic programming [4], nonlinear programming [5], and Evolutionary algorithm [6].…”