×
Soliman, S. A.; Christensen, G. S.; Abdel-Halim, M. A.

Optimal operation of multireservoir power systems. (English) Zbl 0568.90055

J. Optimization Theory Appl. 49, 449-461 (1986).
The optimal monthly operating policy of a multireservoir hydroelectric power system is a stochastic nonlinear problem. This paper presents a new method for determining the optimal monthly operating policy of a power system of n reservoirs in series on a river taking into account the stochasticity of the river flows. Functional optimization techniques and minimum-norm formulation have been used to find the optimal release policy of the system. Results for a numerical example composed of four reservoirs are presented.

Cited in 7 Documents

MSC:

90B99 Operations research and management science

Keywords:

optimal control; optimal monthly operating policy; multireservoir hydroelectric power system; stochastic nonlinear problem
Cite Review PDF
Full Text: DOI

References:

[1] Arvanitidis, N. V., andRosing, J.,Optimal Operation of Multireservoir System Using a Composite Representation, IEEE Transactions on PAS, Vol. PAS-89, pp. 327-335.
[2] Turgeon, A.,Decomposition Method for the Long-Term Scheduling of Reservoirs in Series, Water Resources Research, Vol. 17, pp. 1565-1570, 1980. · doi:10.1029/WR017i006p01565
[3] Turgeon, A.,Optimal Operation of Multireservoir Power Systems with Stochastic Inflows, Water Resources Research, Vol. 16, pp. 275-283, 1980. · doi:10.1029/WR016i002p00275
[4] Halliburton, T. S., andSirisena, H. R.,Development of a Stochastic Optimization for Multireservoir Scheduling, IEEE Transactions on Automatic Control, Vol. AC-29, pp. 82-84, 1984. · doi:10.1109/TAC.1984.1103369
[5] Sage, A.,Optimum System Control, Prentice-Hall, Englewood Cliffs, New Jersey, 1968. · Zbl 0192.51502
[6] El-Hawary, M. E., andChristensen, G. S.,Optimal Economic Operation of Electric Power System, Academic Press, New York, New York, 1979.
[7] Sage, A., andMelsa, J. L.,System Identification, Academic Press, New York, New York, 1971. · Zbl 0266.93008
[8] Peschon, J., Pierce, D. S., Tinney, W. F., Tveit, O. J., Cuenod, M.,Optimum Control of Reactive Power Flow, IEEE Transactions on PAS, Vol. PAS-87, pp. 40-48, 1968.
[9] Shamaly, A., Christensen, G. S., andEl-Hawary, M. E.,Optimal Control of Large Turboalternators, Journal of Optimization Theory and Applications, Vol. 34, pp. 83-97, 1981. · Zbl 0431.49008 · doi:10.1007/BF00933358
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.