Abstract
We discuss in this paper an algorithm for solving the optimal long-term operating problem of a hydrothermal-nuclear power system by application of the minimum norm optimization technique. The algorithm proposed here has the ability to deal with large-scale power systems and with equality and/or inequality constraints on the variables. A discrete model for the xenon and iodine concentrations is used, as well as a discrete model for hydro reservoirs. The optimization is done on a monthly time basis. For simplicity of the problem formulation, the transmission line losses are considered as a part of the load.
Similar content being viewed by others
References
Kiefer, W. M., andKoncel, E. F.,Scheduling Generations on Systems with Fossil and Nuclear Units, Transactions of the American Nuclear Society Vol. 13, pp. 768–769, 1970.
Hoskins, R. E., andRees, F. J.,Power Systems Optimization Approach to Nuclear Fuel Management, Transactions of the American Nuclear Society, Vol. 13, pp. 768–769, 1970.
Grossman, L. M., andReinking, A. G.,Fuel Management and Load Optimization of Nuclear Units in Electric Systems, Transactions of the American Nuclear Society, Vol. 20, pp. 391–394, 1975.
Chou, Q. B.,Characteristics and Maneuverability of Candu Nuclear Power Stations Operated for Base-Load and Load Following Generation, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-94, pp. 792–801, 1975.
El-Wakil, M. M.,Nuclear Power Engineering, McGraw-Hill, New York, New York, 1962.
Yasukawa, S.,An Analysis of Continuous Reactor Refueling, Nuclear Science Engineering, Vol. 24, pp. 253–260, 1966.
Millar, C. H.,Fuel Management in Candu Reactors, Transactions of the American Nuclear Society, Vol. 20, pp. 350–361, 1975.
El-Hawary, M. E., andChristensen, G. S.,Optimal Economic Operation of Electric Power Systems, Academic Press, New York, New York, 1979.
Porter, W. A.,Modern Foundations of Systems Engineering, Macmillan, New York, New York, 1966.
Hamilton, E. P., andLamont, I. W.,An Improved Short-Term Hydrothermal Coordination Model, Paper No. A77-518-4, Institute of Electrical and Electronics Engineers, Summer Power Meeting, Mexico City, Mexico, 1977.
Isbin, H. S.,Introductory Nuclear Reactor Theory, Reinhold, New York, New York, 1963.
Shamaly, A., et al.,A Transformation of Necessary Optimality Conditions for Systems with Polynomial Nonlinearities, IEEE Transactions on Automatic Control, Vol. AC-24, pp. 983–985, 1979.
Mahmoud, M. S.,Multilevel Systems Control and Applications: A Survey, IEEE Transactions on Systems, Man, and Cybernetics, Vol. SMC-7, pp. 125–143, 1977.
Nieva, R., Christensen, G. S., andEl-Hawary, M. E.,Functional Optimization of Nuclear-Hydrothermal systems, Proceedings, Canadian Electrical Conference, Toronto, Ontario, Canada, 1978.
Nieva, R., Christensen, G. S., andEl-Hawary, M. E.,Optimum Load Scheduling of Nuclear-Hydrothermal Power systems, Journal of Optimization Theory and Applications, Vol. 35, pp. 261–275, 1981.
Tsouri, N., andRootenberg, J.,Optimal Control of a Large Core Reactor in Presence of Xenon, IEEE Transactions on Nuclear Science, Vol. NS-22, pp. 702–710, 1975.
Lin, C., andGrossman, L. M.,Optimal Control of a Boiling Water Reactor in Load-Following via Multilevel Methods, Nuclear Science and Engineering, Vol. 92, pp. 531–544, 1986.
Christensen, G. S., El-Hawary, M. E., andSoliman, S. A.,Optimal Control Applications in Electric Power Systems, Plenum Press, New York, New York, 1987.
Chaudhuri, S. P.,Distributed Optimal Control in a Nuclear Reactor, International Journal of Control, Vol. 16, pp. 927–937, 1972.
Author information
Authors and Affiliations
Additional information
Communicated by C. T. Leondes
This work supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. A4146.
Rights and permissions
About this article
Cite this article
Christensen, G.S., Soliman, S.A. Optimal discrete long-term operation of nuclear-hydrothermal power systems. J Optim Theory Appl 62, 239–254 (1989). https://doi.org/10.1007/BF00941056
Issue Date:
DOI: https://doi.org/10.1007/BF00941056