Advertisement

Modeling and Optimization of a Multireservoir Power System for Critical Water Conditions

  • G. S. Christensen
  • S. A. Soliman
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 38)

Abstract

The period in which reservoirs are drawn down from full to empty is referred to as the “critical period,” and the stream flows that occur during the critical period are called “critical period stream flow” because they are the lowest on record. The duration of the critical period is determined by the amount of reservoir storage in the hydroelectric system and on the amount of energy support available from thermal, gas turbine plants, and possible purchase, and it depends on how these resources are committed to support the hydroelectric system.

Keywords

Power System Critical Period Rise Water Level Discrete Maximum Principle Fall Water Level 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 5.1
    Arvanitidies, N. V., and Rosing, J., “Optimal Operation of Multireservoir Systems Using a Composite Representation,” IEEE Transactions on Power Apparatus and Systems PAS-89(2), 327–335 (1970).CrossRefGoogle Scholar
  2. 5.2
    Turgeon, A., “A Decomposition Method for the Long-Term Scheduling of Reservoirs in Series,” Water Resources Research 17(6), 1565–1570 (1981).CrossRefGoogle Scholar
  3. 5.3
    Turgeon, A., “Optimal Operation of Multireservoir Power Systems with Stochastic Inflows,” Water Resources Research 16(2), 275–283 (1980).CrossRefGoogle Scholar
  4. 5.4
    Sherkat, V. T., Campo, R., Moslehi, K., and Lo, E. O., “Stochastic Long-Term Hydrothermal Optimization for a Multireservoir System,” IEEE Transactions on Power Apparatus and Systems PAS-108(8), 2040–2050 (1985).CrossRefGoogle Scholar
  5. 5.5
    Shamaly, A., et al, “A Transformation for Necessary Optimality Conditions for Systems with Polynomial Nonlinearities,” IEEE Transactions on Automatic Control AC-24(6), 983–985 (1979).MathSciNetMATHCrossRefGoogle Scholar
  6. 5.6
    Shamaly, A., Christensen, G. S., and El-Hawary, M. E., “Optimal Control of Large Turboalternator,” Journal of Optimization Theory and Applications 34(1), 83–97 (1981).MathSciNetMATHCrossRefGoogle Scholar
  7. 5.7
    Christensen, G. S., and Soliman, S. A., “Long-Term Optimal Operation of a Parallel Multireservoir Power System Using Functional Analysis,” Journal of Optimization Theory and Applications 50(3), 000–000 (1986).CrossRefGoogle Scholar
  8. 5.8
    Soliman, S. A., et al, “Optimal Operation of Multireservoir Power System Using Functional Analysis,” Journal of Optimization Theory and Applications 49(3), 449–461 (1981).MathSciNetCrossRefGoogle Scholar
  9. 5.9
    Soliman, S. A., and Christensen, G. S., “Modelling and Optimization of Parallel Reservoirs Having Nonlinear Storage Curves under Critical Water Conditions for Long-Term Regulation Using Functional Analysis,” Journal of Optimization Theory and Applications 55(3) (1987).Google Scholar
  10. 5.10
    Sage, A. P., and White, C. C, Optimum System Control, Prentice-Hall, Englewood Cliffs, New Jersey, 1977.Google Scholar
  11. 5.11
    Olcer, S., Harsa, C, and Roch, A., “Application of Linear and Dynamic Programming to the Optimization of the Production of Hydroelectric Power,” Optimal Control Application of Methods 6, 43–56 (1985).CrossRefGoogle Scholar
  12. 5.12
    Myron, B. F., “Multivariate Techniques for Synthetic Hydrology,” Journal of Hydro Division, Proc. ASCE, 43–50 (1964).Google Scholar
  13. 5.13
    Davis, R. E., and Pronovost, R., “Two Stochastic Dynamic Programming Procedures for Long-Term Reservoir Management,” IEEE PAS Summer Meeting C72, 493–495, July 9–14, 1972.Google Scholar
  14. 5.14
    Sage, A., and Melsa, J. L., System Identification, Academic Press, New York, 1971.MATHGoogle Scholar
  15. 5.15
    Sjelvgren, D., Anderson, S., and Dillon, T. S., “Optimal Operations Planning in a Large Hydrothermal Power System,” IEEE Transactions on Power Apparatus and Systems PAS-102(11), 3644–3651 (1983).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • G. S. Christensen
    • 1
  • S. A. Soliman
    • 2
  1. 1.University of AlbertaEdmontonCanada
  2. 2.Ain Shams UniversityCairoEgypt

Personalised recommendations