Optimal operation of multireservoir power systems

  • S. A. Soliman
  • G. S. Christensen
  • M. A. Abdel-Halim
Contributed Papers


The optimal monthly operating policy of a multireservoir hydroelectric power system is a stochastic nonlinear problem. This paper presents a new method for determining the optimal monthly operating policy of a power system ofn reservoirs in series on a river taking into account the stochasticity of the river flows. Functional optimization techniques and minimum-norm formulation have been used to find the optimal release policy of the system. Results for a numerical example composed of four reservoirs are presented.

Key Words

Optimal control multireservoir hydroelectric power systems optimal release policies series reservoirs 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Arvanitidis, N. V., andRosing, J.,Optimal Operation of Multireservoir System Using a Composite Representation, IEEE Transactions on PAS, Vol. PAS-89, pp. 327–335.Google Scholar
  2. 2.
    Turgeon, A.,Decomposition Method for the Long-Term Scheduling of Reservoirs in Series, Water Resources Research, Vol. 17, pp. 1565–1570, 1980.Google Scholar
  3. 3.
    Turgeon, A.,Optimal Operation of Multireservoir Power Systems with Stochastic Inflows, Water Resources Research, Vol. 16, pp. 275–283, 1980.Google Scholar
  4. 4.
    Halliburton, T. S., andSirisena, H. R.,Development of a Stochastic Optimization for Multireservoir Scheduling, IEEE Transactions on Automatic Control, Vol. AC-29, pp. 82–84, 1984.Google Scholar
  5. 5.
    Sage, A.,Optimum System Control, Prentice-Hall, Englewood Cliffs, New Jersey, 1968.Google Scholar
  6. 6.
    El-Hawary, M. E., andChristensen, G. S.,Optimal Economic Operation of Electric Power System, Academic Press, New York, New York, 1979.Google Scholar
  7. 7.
    Sage, A., andMelsa, J. L.,System Identification, Academic Press, New York, New York, 1971.Google Scholar
  8. 8.
    Peschon, J., Pierce, D. S., Tinney, W. F., Tveit, O. J., Cuenod, M.,Optimum Control of Reactive Power Flow, IEEE Transactions on PAS, Vol. PAS-87, pp. 40–48, 1968.Google Scholar
  9. 9.
    Shamaly, A., Christensen, G. S., andEl-Hawary, M. E.,Optimal Control of Large Turboalternators, Journal of Optimization Theory and Applications, Vol. 34, pp. 83–97, 1981.Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • S. A. Soliman
    • 1
  • G. S. Christensen
    • 1
  • M. A. Abdel-Halim
    • 2
  1. 1.Department of Electrical EngineeringUniversity of AlbertaEdmontonCanada
  2. 2.Department of Electrical EngineeringAin Shams UniversityCairoEgypt

Personalised recommendations