Reservoir operation for hydropower optimization: A chance-constrained approach
Author(s) -
Krishnamurthy Sreenivasan,
S. Vedula
Publication year - 1996
Publication title -
sadhana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.268
H-Index - 49
eISSN - 0973-7677
pISSN - 0256-2499
DOI - 10.1007/bf02745572
Subject(s) - inflow , hydropower , reliability (semiconductor) , mathematical optimization , constraint (computer aided design) , range (aeronautics) , turbine , linear programming , limit (mathematics) , probability distribution , nonlinear system , mathematics , computer science , power (physics) , engineering , statistics , geology , mechanical engineering , mathematical analysis , oceanography , physics , geometry , quantum mechanics , aerospace engineering , electrical engineering
This paper presents a chance-constrained linear programming formulation for reservoir operation of a multipurpose reservoir. The release policy is defined by a chance constraint that the probability of irrigation release in any period equalling or exceeding the irrigation demand is at least equal to a specified valueP (called reliability level). The model determines the maximum annual hydropower produced while meeting the irrigation demand at a specified reliability level. The model considers variation in reservoir water level elevation and also the operating range within which the turbine operates. A linear approximation for nonlinear power production function is assumed and the solution obtained within a specified tolerance limit. The inflow into the reservoir is considered random. The chance constraint is converted into its deterministic equivalent using a linear decision rule and inflow probability distribution. The model application is demonstrated through a case study.
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