TECHNICAL PAPERS
Jan 1, 1983

Optimal Operation of Multiple Reservoir Systems

Publication: Journal of Water Resources Planning and Management
Volume 109, Issue 1

Abstract

The national interest in hydroelectric power generation has focused increased attention on the potential for greater energy production from existing and planned reservoir systems. A methodology is presented for determining the optimal long‐term operation of a specified system of surface water resources facilities, consisting of reservoirs, stream reaches, and water conveyance facilties. These facilties are assumed to be operated for water supply, hydroelectric power generation, and low flow augmentation. The optimal operation of such a system over a drought period is formulated into a deterministic, nonlinear optimization problem, with the decision variables being the monthly reservoir releases and canal and pipeline flows. A successive linear approximation technique is utilized to iteratively change the arc bounds and costs on a generalized network representation of the surface water system until an optimal solution is derived. The algorithm is applied to a large water resources system consisting of 27 reservoirs, and the results reviewed.

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References

1.
“Analytical Techniques for Planning Complex Water Resources Systems,” Texas Water Development Board, Report 183, Austin, Tex., Apr., 1974.
2.
Claure‐Pereira, S. D., “Integrated Operation of Water Resource and Electric Power Systems,” Report 159, Center for Research in Water Resources, University of Texas, Austin, Aug., 1978.
3.
Gagnon, C. R., Hicks, R. H., Jacoby, S. L. S., and Kowalik, J. S., “A Nonlinear Programming Approach to a Very Large Hydroelectric System Optimization,” Mathematical Programming, Vol. 6, North‐Holland Publishing Co., Amsterdam, The Netherlands, 1974, pp. 28–41.
4.
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,” Contribution No. 130, Water Resources Center, University of California, Los Angeles, Calif., Oct., 1969.
5.
Hall, W. A., and Shephard, R. W., “Optimum Operations for Planning of a Complex Water Resources Systems,” Contribution No. 122, Water Resources Center, University of California, Los Angeles, Calif., 1967.
6.
Hanscom, M., Lafond, L., Lasdon, L. S., and Pronovost, G., “Modeling and Resolution of the Deterministic Mid‐Term Energy Production Problem for the Hydro‐Quebec System” Report No. IREQ‐1453, Institut de Recherche de l'Hydro‐Quebec, Varennes, Quebec, Canada, 1976.
7.
“HEC‐3 Reservoir System Analysis,” The Hydrologic Engineering Center, U.S. Army Corps of Engineers, Feb., 1971, Davis, Calif.
8.
Heidari, M., Chow, V. T., Kokotovic, P. V., and Meredith, D. D., “Discrete Differential Dynamic Programming Approach to Water Resources Systems Optimization,” Water Resources Research, Vol. 7, No. 2, Apr., 1971, pp. 273–282.
9.
Jensen, P. A., and Barnes, J. W., Network Flow Programming, John Wiley and Sons, Inc., New York, N. Y., 1980.
10.
Larson, R. E., State Incremental Dynamic Programming, American Elsevier Publishing Co., Inc., New York, N.Y. 1968.
11.
Lasdon, L. S., Optimization Theory for Large Systems, MacMillan Co., New York, N.Y., 1970.
12.
Maass, A., et al., ed., Design of Water‐Resource Systems, Harvard University Press, Cambridge, Mass., 1962.
13.
Martin, Q. W., Multireservoir Simulation and Optimization Model—SIM‐V, Program Documentation and Users Manual, Report UM‐38, Texas Department of Water Resources, Austin, Tex., Feb., 1982.
14.
Martin, Q. W., Surface Water Resources Allocation Model—AL‐V, Program Documentation and Users Manual, Report UM‐35, Texas Department of Water Resources, Austin, Tex., Oct., 1981.
15.
Multibasin Simulation and Optimization Model—SIM‐IV Program Documentation and User's Manual, Texas Water Development Board, Austin, Tex., July, 1972.
16.
Murray, D. M., and Yakowitz, S. J., “Constrained Differential Dynamic Programming and Its Application to Multireservoir Control,” Water Resources Research, Vol. 15, No. 5, Oct., 1979, pp. 1017–1027.
17.
Palacios‐Gomez, F., “The Solution of Nonlinear Optimization Problems Using Successive Linear Programming: Theoretical and Computational Results,” thesis, presented to the University of Texas at Austin, in 1980, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
18.
Palacios‐Gomez, F., Lasdon, L., and Engquist, M., Nonlinear Optimization by Successive Linear Programming, Department of General Business, University of Texas, Austin, Tex., Sept., 1980.
19.
ReVelle, C., and Gundelach, J., “Linear Decision Rule in Reservoir Management Design: Part 4: A Rule that Minimizes Output Variance,” Water Resources Research, Vol. 11, No. 2, Apr., 1975, pp. 197–203.
20.
Roefs, T. G., and Bodin, L. D., “Multi‐reservoir Operation Studies,” Water Resources Research, Vol. 6, No. 2, Apr., 1970, pp. 410–420.
21.
Rosenthal, R. E., Comparative Bibliography of Reservoir Management Models, Management Science Program, University of Tennessee, Knoxville, Tenn., 1977.
22.
Rosenthal, R. E., “A Nonlinear Network Flow Algorithm for Maximization of Benefits in a Hydroelectric Power System,” Operation Research, Vol. 29, No. 4, July–Aug., 1981, pp. 763–786.
23.
“System Conservation Studies, Arkansas‐White‐Red Rivers,” U.S. Army Corps of Engineers, Basic Data Prepared by the Southwestern Division, Vol. 1, Jan., 1970.
24.
Trott, W. J., and Yeh, W. W. G., “Optimization of Multiple Reservoir Systems,” Journal of the Hydraulics Division, ASCE, Vol. 99, No. HY10, Proc Paper 10065, Oct., 1973, pp. 1865–1884.
25.
Water Supply Allocation Model—AL‐IV Program Documentation and User's Manual, Texas Water Development Board, Austin, Tex., Sept., 1975.

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Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 109Issue 1January 1983
Pages: 58 - 74

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Published online: Jan 1, 1983
Published in print: Jan 1983

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Quentin W. Martin
Chf., Engrg. and Environmental Systems Section, Texas Dept. of Water Resources, Austin, Tex. 78711

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