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A new method for the real‐time operation of reservoir systems
Author(s) -
Georgakakos Aristidis P.,
Marks David H.
Publication year - 1987
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/wr023i007p01376
Subject(s) - reliability (semiconductor) , mathematical optimization , trajectory , state space , set (abstract data type) , computer science , controller (irrigation) , quadratic equation , gaussian , control theory (sociology) , differential dynamic programming , optimal control , control (management) , mathematics , power (physics) , statistics , physics , geometry , quantum mechanics , astronomy , artificial intelligence , agronomy , biology , programming language
This paper introduces a new method for the real‐time operation of reservoir systems. The system is represented by a set of stochastic differential equations describing the reservoir and river dynamics in state space form. The formulated reservoir operation problem calls for finding policies which maximize the expected benefits of one system's objective while satisfying the remaining objectives at prespecified reliability levels. The solution is obtained by a new method named extended linear quadratic Gaussian (ELQG) controller. ELQG draws on and extends stochastic control theory results, and it is well suited for the optimization of constrained dynamical systems. It is a trajectory iteration algorithm theoretically expected to exhibit reliability and computational efficiency. The new method is tested and evaluated in a real‐world case study.