Reservoir Operation: Choice of Objective Functions
Publication: Journal of Water Resources Planning and Management
Volume 110, Issue 1
Abstract
An efficient algorithm for the real‐time monthly operation of a multipurpose reservoir is presented. The model is a combination of linear programming (used for month‐by‐month optimization) and dynamic programming (used for annual optimization). The use of parametric linear programming, minimum required beginning‐of‐month storages, and an iterative solution procedure result in low computer time and computer storage requirements. Low computer storage requirements allow the model to be run on minicomputers. Water and energy maximization, water and energy maximization with flood control considerations, and water and energy maximization for peak demand months are considered. Thus, the model provides the reservoir operator with different choices for annual optimization. The model is applied to Folsom reservoir of the California Central Valley Project and the results are discussed.
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References
1.
Becker, L., and Yeh, W. W.‐G., “Optimization of Real Time Operation of a Multiple‐Reservoir System,” Water Resources Research, Vol. 10, No. 6, 1974, pp. 1107–1112.
2.
Bellman, R. E., and Dreyfus, S. E., Applied Dynamic Programming, Princeton University Press, Princeton, N.J., 1962.
3.
Carnahan, B., Luther, H. A., and Wilkes, J. O., Applied Numerical Methods, John Wiley & Sons, New York, N.Y., 1969.
4.
Dreyfus, S. E., and Law, A. M., “The Art and Theory of Dynamic Programming,” Mathematics in Science and Engineering,” Vol. 130, Academic Press, New York, N.Y., 1977.
5.
Hall, W. A., Butcher, W. S., and Esogbue, A., “Optimization of the Operation of a Multiple Purpose Reservoir by Dynamic Programming,” Water Resources Research, Vol. 4, No. 3, 1968, pp. 471–477.
6.
Hall, W. A., Harboe, R. C., Yeh, W. W.‐G., and Askew, A. J., “Optimum Firm Power Output from a Two Reservoir System by Incremental Dynamic Programming,” Water Resources Center Contribution No. 130, University of California, Los Angeles, Calif., 1969.
7.
Jamieson, D. G., and Wilkinson, J. C., “River Dee Research Program, 3. A. Short‐Term Control Strategy for Multipurpose Reservoir Systems,” Water Resources Research, Vol. 8, No. 4, 1972, pp. 911–920.
8.
Larson, R. E., and Keckler, W. G., “Application of Dynamic Programming to the Control of Water Resources Systems,” Automatica, Vol. 5, 1969, pp. 15–26.
9.
Mariño, M. A., and Mohammadi, B., “Multiobjective Optimization in Real‐Time Operation of a Single Reservoir,” Proceedings, International Symposium of Real‐Time Operation of Hydrosystems, T. E. Unny and E. A. McBean, eds., University of Waterloo, Waterloo, Ontario, Canada, 1981, pp. 543–549.
10.
Meredith, D. D., “Optimal Operation of Multiple Reservoir System,” Journal of the Hydraulics Division, ASCE, Vol. 101, No. HY2, 1975, pp. 299–312.
11.
Sigvaldason, O. T., “A Simulation Model for Operating a Multipurpose Multireservoir System,” Water Resources Research, Vol. 12, No. 2, 1976, pp. 263–278.
12.
Tauxe, G. W., Mades, D. M., and Inman, R. R., “Multiple Objectives in Reservoir Operation,” Journal of Water Resources Planning and Management Division, ASCE, Vol. 106, No. WR1, 1980, pp. 225–238.
13.
Tauxe, G. W., Mades, D. M., and Inman, R. R., “Multiobjective Dynamic Programming with Application to a Reservoir,” Water Resources Research, Vol. 15, No. 6, 1979, pp. 1403–1408.
Information & Authors
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Published In
Journal of Water Resources Planning and Management
Volume 110 • Issue 1 • January 1984
Pages: 15 - 29
Copyright
Copyright © 1984 ASCE.
History
Published online: Jan 1, 1984
Published in print: Jan 1984
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