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A decomposition method for the long‐term scheduling of reservoirs in series
Author(s) -
Turgeon André
Publication year - 1981
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr017i006p01565
Subject(s) - state variable , series (stratigraphy) , mathematical optimization , nonlinear system , term (time) , decomposition , decomposition method (queueing theory) , scheduling (production processes) , computer science , mathematics , geology , statistics , paleontology , ecology , physics , quantum mechanics , biology , thermodynamics
This paper presents a method for determining the weekly operating policy of a power system of n reservoirs in series; the method takes into account the stochasticity of the river flows. The method consists of rewriting the stochastic nonlinear optimization problem of n state variables as n −1 problems of two state variables which are solved by dynamic programing. The release policy obtained with this method for reservoir i is a function of the water content of that reservoir and of the total amount of potential energy stored in the downstream reservoirs. The method is applied to a power system of four reservoirs, and the results obtained are compared to the true optimum.