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Application of Functional Analysis to Optimization of a Variable Head Multireservoir Power System for Long‐Term Regulation
Author(s) -
Soliman S. A.,
Christensen G. S.
Publication year - 1986
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/wr022i006p00852
Subject(s) - term (time) , flood control , environmental science , flood myth , optimal control , mathematical optimization , variable (mathematics) , electric power system , water resource management , norm (philosophy) , power (physics) , control (management) , computer science , operations research , hydrology (agriculture) , control theory (sociology) , mathematics , engineering , geography , geotechnical engineering , mathematical analysis , physics , archaeology , quantum mechanics , artificial intelligence , political science , law
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.