Reservoir operation for hydropower optimization: A chance-constrained approach

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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 value P (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.

Original languageEnglish (US)
Pages (from-to)503-510
Number of pages8
Issue number4
StatePublished - Aug 1996


  • Reservoir operation
  • chance constraint
  • hydropower
  • optimization
  • rule curve

ASJC Scopus subject areas

  • General


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