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Derivation of operation rules for reservoirs in parallel with joint water demand
Author(s) -
Zeng Xiang,
Hu Tiesong,
Xiong Lihua,
Cao Zhixian,
Xu Chongyu
Publication year - 2015
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 - 10.1002/2015wr017250
Subject(s) - economic shortage , reliability (semiconductor) , set (abstract data type) , computer science , mathematical optimization , joint (building) , water supply , value (mathematics) , operations research , petroleum engineering , environmental science , mathematics , engineering , civil engineering , environmental engineering , linguistics , philosophy , power (physics) , physics , quantum mechanics , machine learning , government (linguistics) , programming language
Abstract The purpose of this paper is to derive the general optimality conditions of the commonly used operating policies for reservoirs in parallel with joint water demand, which are defined in terms of system‐wide release rules and individual reservoir storage balancing functions. Following that, a new set of release rules for individual reservoirs are proposed in analytical forms by considering the optimality conditions for the balance of total water delivery utility and carryover storage value of individual reservoirs. Theoretical analysis indicates that the commonly used operating policies are a special case of the newly derived rules. The derived release rules are then applied to simulating the operation of a parallel reservoir system in northeastern China. Compared to the performance of the commonly used policies, some advantages of the proposed operation rules are illustrated. Most notably, less water shortage occurrence and higher water supply reliability are obtained from the proposed operation rules.