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.
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References
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.
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.
Askew, A., “Chance-Constrained Dynamic Programming and the Optimization of Water Resource Systems,” Water Resources Research 10(6), 1099–1106 (1974a).
Askew, A., “Optimum Reservoir Operating Policies and the Imposition of a Reliability Constraint,” Water Resources Research 10(1), 51–56 (1974b).
Bertsekas, D., Dynamic Programming and Stochastic Control, Academic, Orlando, Florida, 1976.
Bertsekas, D., Constrained Optimization and Lagrange Multiplier Methods, Academic, Orlando, Florida, 1982.
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).
Butcher, W., “Stochastic Dynamic Programming for Optimum Reservoir Operation,” Water Resources Bulletin 7(1), 115–123 (1971).
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.
Eagleson, P. E., Dynamic Hydrology, McGraw-Hill, New York, 1970.
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.
Georgakakos, K. P., and Bras, R. L., “Real-Time, Statistically Linearized Adaptive Flood Routing,” Water Resources Research 18(3), 513–524 (1982).
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.
Haimes, Y., Hierarchical Analysis of Water Resources Systems, McGraw-Hill, New York, 1977.
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).
Henderson, F., Open Channel Flow, MacMillan, New York, 1966.
Jamshidi, M., and Heidari, M., “Application of Dynamic Programming to Control Khuzestan Water Resources Systesm,” Automatica 13, 287–293 (1977).
Jazwinski, A., Stochastic Processes and Filtering Theory, Academic, Orlando, Florida, 1970.
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).
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).
Larson, R., and Keckler, W., “Applications of Dynamic Programming to the Control of Water Resource Systems,” Automatica 5, 15–26 (1969).
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).
Loaiciga, H. A., and Marino, M. A., “Risk Analysis for Reservoir Operation,” Water Resources Research 22(4), 483–488 (1986).
Marino, M. A., and Loaiciga, H. A., “Dynamic Model for Multireservoir Operation,” Water Resources Research 21(5), 619–630 (1985).
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).
Murray, D., and Yakowitz, S., “Constrained Differential Dynamic Programming and its Applications to Multireservoir Control,” Water Resources Research 15(5), 1017–1027 (1979).
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).
Papageorgiou, M., “Optimal Multireservoir Network Control by the Discrete Maximum Principle,” Water Resources Research 21(12), 1824–1830 (1985).
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.
Sniedovich, M., “Reliability-Constrained Reservoir Control Problems 1. Methodological Issues,” Water Resources Research 15(6), 1574–1582 (1979).
Sniedovich, M., “A Variance-Constrained Reservoir Control Problem,” Water Research 16(2), 271–274 (1980a).
Sniedovich, M., “Analysis of a Chance-Constrained Reservoir Control Model,” Water Resources Research 16(5), 849–853 (1980b).
Stedinger, J., Sule, B., and Loucks, D., “Stochastic Dynamic Programming Models for Reservoir Operation Optimization,” Water Resources Research 20(11), 1499–1505 (1984).
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).
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).
Turgeon, A., “Optinal Short-Term Hydro Scheduling from the Principle of Progressive Optimality,” Water Resources Research 17(3), 481–486 (1981).
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).
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.
Yeh, W. W.-G., “Reservoir Management and Operations Models: A State-of-the-Art Review,” Water Resources Research 21, 1797–1818 (1985).
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© 1988 Plenum Press, New York
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Christensen, G.S., Soliman, S.A. (1988). Optimization of the Firm Hydro Energy Capability for Hydroelectric Systems. In: Optimal Long-Term Operation of Electric Power Systems. Mathematical Concepts and Methods in Science and Engineering, vol 38. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5493-2_6
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DOI: https://doi.org/10.1007/978-1-4684-5493-2_6
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