Abstract
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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References
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Sreenivasan, K.R., Vedula, S. Reservoir operation for hydropower optimization: A chance-constrained approach. Sadhana 21, 503–510 (1996). https://doi.org/10.1007/BF02745572
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DOI: https://doi.org/10.1007/BF02745572