Reservoir Operation by Linear and Dynamic Programming
Publication: Journal of Water Resources Planning and Management
Volume 109, Issue 4
Abstract
The operation of reservoirs often requires frequent updating of the results of the operation model. This is mainly because of errors involved in forecasting the natural inflows to the reservoirs or demands for water and energy or both. Current models used for operation usually require the use of large computers because of their core‐storage and computation‐time requirements. Frequent use of such models for the purpose of updating will often result in high computation cost and usually involves long turnaround times. This paper presents an efficient algorithm for the monthly operation of a system of two parallel multipurpose reservoirs that is solved with a minicomputer. The operation model is applied to Shasta and Folsom reservoirs of the California Central Valley Project, and the results are reviewed.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Becker, L., and Yeh, W. W.‐G., “Optimal Timing, Sequencing and Sizing of Multiple Reservoir, Surface Water Supply Facilities,” Water Resources Research, Vol. 10, No. 1, Feb., 1974, pp. 57–62.
2.
Becker, L., and Yeh, W. W.‐G., “Optimization of Real Time Operation of Multiple Reservoir System,” Water Resources Research, Vol. 10, No. 6, Dec., 1974, pp. 1107–1112.
3.
Butcher, W. S., Haimes, Y. Y., and Hall, W. A., “Dynamic Programming for Optimal Sequencing of Water Supply Projects,” Water Resources Research, Vol. 5, No. 6, Dec., 1969, pp. 1196–1204.
4.
Chu, W. S., and Yeh, W. W.‐G., “A Nonlinear Programming Algorithm for Real‐Time Hourly Reservoir Operations,” Water Resources Bulletin, Vol. 14, No. 5, Oct., 1978, pp. 1048–1063.
5.
Colorni, A., and Fronza, G., “Reservoir Management via Reliability Programming,” Water Resources Research, Vol. 12, No. 1, Feb., 1976, pp. 85–88.
6.
Fiering, M. B., “Queing Theory and Simulation in Reservoir Design,” Journal of the Hydraulics Division, ASCE, Vol. 87, No. HY6, Nov., 1961, pp. 39–69.
7.
Hall, W. A., Harboe, R. C., Yeh, W. W.‐G., and Askew, A. J., “Optimum Firm Water Output from a Two Reservoir System by Incremental Dynamic Programming,” Water Resources Center Contribution No. 130, University of California, Los Angeles, Calif., 1969.
8.
Houck, M. H., Cohon, J. L., and ReVelle, C. S., “Linear Decision Rule in Reservoir Design and Management, 6. Incorporation of Economic Efficiency Benefits and Hydroelectric Energy Generation,” Water Resources Research, Vol. 16, No. 1, Feb., 1980, pp. 196–200.
9.
LeClerc, G., and Marks, D. H., “Determination of the Discharge Policy for Existing Reservoir Networks under Differing Objectives,” Water Resources Research, Vol. 9, No. 5, Oct., 1973, pp. 1155–1165.
10.
Marino, M. A., and Mohammadi, B., “Multipurpose Reservoir Operation: 1. Monthly Model for a Single Reservoir,” Journal of Hydrology, accepted for publication, 1983, 24 pp.
11.
ReVelle, C., Joeres, E., and Kirby, W., “Linear Decision Rule in Reservoir Management and Design, 1. Development of the Stochastic Model,” Water Resources Research, Vol. 5, No. 4, Aug., 1969, pp. 766–777.
12.
Simonovic, S. P., and Marino, M. A., “Reliability Programming in Reservoir Management, 1. Single Multipurpose Reservoir,” Water Resources Research, Vol. 16, No. 5, Oct., 1980, pp. 844–848.
13.
Thomas, H. A., and Fiering, M. B., “Mathematical Synthesis of Streamflow Sequences for the Analysis of River Basins by Simulation,” Design of Water‐Resource Systems, A. Maass, M. M. Hufschmidt, R. Dorfman, H. A. Thomas, Jr., S. A. Marglin, and G. M. Fair, eds., Harvard University Press, Cambridge, Mass., 1962.
14.
Trott, W. J., and Yeh, W. W.‐G., “Optimization of Multiple Reservoir Systems,” Journal of the Hydraulics Division, ASCE, Vol. 99, No. HY10, 1973, pp. 1865–1884.
Information & Authors
Information
Published In
Copyright
Copyright © 1983 ASCE.
History
Published online: Oct 1, 1983
Published in print: Oct 1983
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.