Advertisement

Optimization of the Firm Hydro Energy Capability for Hydroelectric Systems

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

Abstract

In Chapter 5, we maximized the generation from hydroelectric power systems having a specified monthly load under critical water conditions. This load is equal to a certain percentage of the total generation at the end of each year of the critical period. The GWh for this load during each month varies according to the total generation at the end of the optimization period.

Keywords

Reservoir Operation Water Resource Research Water Resource System Multireservoir System Stochastic Dynamic Program Model 
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. 6.1.
    Alarcon, L., and Marks, D., “A Stochastic Dynamic Programming Model for the Operation of the High Aswan Dam,” Report No. JR 246, Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics, Department of Civil Engineering, M.I.T., Cambridge, Massachusetts, 1979.Google Scholar
  2. 6.2.
    Arunkumar, S., and Yeh, W.W.-G, “Probabilistic Models in the Design and Operation of a Multi-purpose Reservoir System,” Contribution No. 144, California, Davis, December 1973.Google Scholar
  3. 6.3.
    Askew, A., “Chance-Constrained Dynamic Programming and the Optimization of Water Resource Systems,” Water Resources Research 10(6), 1099–1106 (1974a).CrossRefGoogle Scholar
  4. 6.4.
    Askew, A., “Optimum Reservoir Operating Policies and the Imposition of a Reliability Constraint,” Water Resources Research 10(1), 51–56 (1974b).CrossRefGoogle Scholar
  5. 6.5.
    Bertsekas, D., Dynamic Programming and Stochastic Control, Academic, Orlando, Florida, 1976.MATHGoogle Scholar
  6. 6.6.
    Bertsekas, D., Constrained Optimization and Lagrange Multiplier Methods, Academic, Orlando, Florida, 1982.MATHGoogle Scholar
  7. 6.7.
    Bras, R., Buchanan, R., and Curry, K., “Realtime-Adaptive Closed-Loop Control of Reservoirs with the High Aswan Dam as a Case Study,” Water Resources Research 19(1), 33–52 (1983).CrossRefGoogle Scholar
  8. 6.8.
    Butcher, W., “Stochastic Dynamic Programming for Optimum Reservoir Operation,” Water Resources Bulletin 7(1), 115–123 (1971).MathSciNetCrossRefGoogle Scholar
  9. 6.9.
    Croley II, T. E., “Sequential Deterministic Optimization in Reservoir Operation,” Journal of Hydraulics Division of the American Society of Civil Engineers 100(HY3), 443–459, 1974.Google Scholar
  10. 6.10.
    Eagleson, P. E., Dynamic Hydrology, McGraw-Hill, New York, 1970.Google Scholar
  11. 6.11.
    Georgakakos, A. P., and Marks, D. H., “Real Time Control of Reservoir Systems,” Technical Report 301, 313 pp. Ralph M. Parsons Laboratory for Hydrology and Water Resources, Department of Civil Engineering, M.I.T., Cambridge, Massachusetts, May 1985.Google Scholar
  12. 6.12.
    Georgakakos, K. P., and Bras, R. L., “Real-Time, Statistically Linearized Adaptive Flood Routing,” Water Resources Research 18(3), 513–524 (1982).CrossRefGoogle Scholar
  13. 6.13.
    Georgakakos, K. P., and Marks, D. H., “A New Method for the Control of the River Nile,” International Journal of Water Resource Development, in press, 1987.Google Scholar
  14. 6.14.
    Haimes, Y., Hierarchical Analysis of Water Resources Systems, McGraw-Hill, New York, 1977.Google Scholar
  15. 6.15.
    Heidari, M., Chow, V. T., Kokotovic, P. V., and Meredith, D. D., “Discrete Differential Dynamic Programming Approach to Water Resources System Optimization,” Water Resources Research 7(2), 273–283 (1971).CrossRefGoogle Scholar
  16. 6.16.
    Henderson, F., Open Channel Flow, MacMillan, New York, 1966.Google Scholar
  17. 6.17.
    Jamshidi, M., and Heidari, M., “Application of Dynamic Programming to Control Khuzestan Water Resources Systesm,” Automatica 13, 287–293 (1977).CrossRefGoogle Scholar
  18. 6.18.
    Jazwinski, A., Stochastic Processes and Filtering Theory, Academic, Orlando, Florida, 1970.MATHGoogle Scholar
  19. 6.19.
    Kitanidis, P. K., and Bras, R. L., “Real-Time Forecasting with a Conceptual Hydrologic Model. I., Analysis of Uncertainty,” Water Resources Research 16(6), 1025–1033 (1980).CrossRefGoogle Scholar
  20. 6.20.
    Kitanidis, P. K., and Bras, R. L., “Real-Time Forecasting with a Conceptual Hydrologic Model. 2. Applications and Results,” Water Resources Research 16(6), 1034–1044 (1980b).CrossRefGoogle Scholar
  21. 6.21.
    Larson, R., and Keckler, W., “Applications of Dynamic Programming to the Control of Water Resource Systems,” Automatica 5, 15–26 (1969).CrossRefGoogle Scholar
  22. 6.22.
    Loaiciga, H. A., and Marino, M. A., “An Approach to Parameter Estimation and Stochastic Control in Water Resources with an Application to Reservoir Operation,” Water Resources Research 21(11), 1575–1584 (1985).CrossRefGoogle Scholar
  23. 6.23.
    Loaiciga, H. A., and Marino, M. A., “Risk Analysis for Reservoir Operation,” Water Resources Research 22(4), 483–488 (1986).CrossRefGoogle Scholar
  24. 6.24.
    Marino, M. A., and Loaiciga, H. A., “Dynamic Model for Multireservoir Operation,” Water Resources Research 21(5), 619–630 (1985).CrossRefGoogle Scholar
  25. 6.25.
    Marino, M. A., and Loaiciga, H. A., “Quadratic Model for Multireservoir Management: Application to the Central Valley Project,” Water Resources Research 21(5), 631–641 (1985b).CrossRefGoogle Scholar
  26. 6.26.
    Murray, D., and Yakowitz, S., “Constrained Differential Dynamic Programming and its Applications to Multireservoir Control,” Water Resources Research 15(5), 1017–1027 (1979).CrossRefGoogle Scholar
  27. 6.27.
    Oven-Thompson, K., Alarcon, L., and Marks, D., “Agricultural versus Hydropower Trade-offs in the Operation of the High Aswan Dam,” Water Resources Research 18(6), 1605–1614 (1982).CrossRefGoogle Scholar
  28. 6.28.
    Papageorgiou, M., “Optimal Multireservoir Network Control by the Discrete Maximum Principle,” Water Resources Research 21(12), 1824–1830 (1985).CrossRefGoogle Scholar
  29. 6.29.
    Rosenthal, B., “The Status of Optimization Models for the Operation of Multireservoir Systems with Stochastic Inflows and Nonseparable Benefits,” Report 75, Tennessee Water Resource Research Center, Knoxville, 1980.Google Scholar
  30. 6.30.
    Sniedovich, M., “Reliability-Constrained Reservoir Control Problems 1. Methodological Issues,” Water Resources Research 15(6), 1574–1582 (1979).CrossRefGoogle Scholar
  31. 6.31.
    Sniedovich, M., “A Variance-Constrained Reservoir Control Problem,” Water Research 16(2), 271–274 (1980a).CrossRefGoogle Scholar
  32. 6.32.
    Sniedovich, M., “Analysis of a Chance-Constrained Reservoir Control Model,” Water Resources Research 16(5), 849–853 (1980b).CrossRefGoogle Scholar
  33. 6.33.
    Stedinger, J., Sule, B., and Loucks, D., “Stochastic Dynamic Programming Models for Reservoir Operation Optimization,” Water Resources Research 20(11), 1499–1505 (1984).CrossRefGoogle Scholar
  34. 6.34.
    Su, S., and Deininger, R., “Generalization of White’s Method of Successive Approximations to Periodic Markovian Decision Processes,” Operations Research 20(2), 318–326 (1972).MATHCrossRefGoogle Scholar
  35. 6.35.
    Wu, S., and Deininger, R., “Modeling the Regulation of Lake Superior under Uncertainty of Future Water Supplies,” Water Resources Research 10(1), 11–25 (1974).CrossRefGoogle Scholar
  36. 6.36.
    Turgeon, A., “Optinal Short-Term Hydro Scheduling from the Principle of Progressive Optimality,” Water Resources Research 17(3), 481–486 (1981).CrossRefGoogle Scholar
  37. 6.37.
    Wasimi, S., and Kitanidis, P. K., “Real-Time Forecasting and Daily Operation of a Multireservoir System during Floods by Linear Quadratic Gaussian Control,” Water Resources Research 19(6), 1511–1522 (1983).CrossRefGoogle Scholar
  38. 6.38.
    Yeh, W. W.-G., “State of the Art Review: Theories and Applications of Systems Analysis Techniques to the Optimal Management and Operation of a Reservoir System,” Report No. UCLA-ENG-82–52, Engineering Foundation University of California, Los Angeles, 1982.Google Scholar
  39. 6.39.
    Yeh, W. W.-G., “Reservoir Management and Operations Models: A State-of-the-Art Review,” Water Resources Research 21, 1797–1818 (1985).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