Sadhana

, Volume 21, Issue 4, pp 503–510 | Cite as

Reservoir operation for hydropower optimization: A chance-constrained approach

Article

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.

Keywords

Reservoir operation hydropower optimization chance constraint rule curve 

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References

  1. Loucks D P, Stedinger J R, Haith D A 1981Water resources systems planning and analysis (Englewood Cliffs, NJ: Prentice Hall)Google Scholar
  2. Sreenivasan K R, Vedula S 1994 Hydropower optimization in a multipurpose reservoir.Proc. National Seminar on Water and Environment, Thiruvananthapuram, pp. 2.49–2.54Google Scholar
  3. Vedula S, Mohan S, Shreshtha V S 1986 Improved operating policies for multipurpose use: A case study of Bhadra Reservoir.Sadhana 9: 157–176CrossRefGoogle Scholar
  4. Vedula S, Sreenivasan K R 1992 Reliability based reservoir irrigation options and rule curves.Proc. VIII APD-IAHR Congress, Pune, vol. 1, pp. A-263-A275Google Scholar

Copyright information

© Indian Academy of Sciences 1996

Authors and Affiliations

  1. 1.Department of Civil EngineeringIndian Institute of ScienceBangaloreIndia

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