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Optimal discrete long-term operation of nuclear-hydrothermal power systems

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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.

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References

  1. 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.

    Google Scholar 

  2. 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.

    Google Scholar 

  3. 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.

    Google Scholar 

  4. 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.

    Google Scholar 

  5. El-Wakil, M. M.,Nuclear Power Engineering, McGraw-Hill, New York, New York, 1962.

    Google Scholar 

  6. Yasukawa, S.,An Analysis of Continuous Reactor Refueling, Nuclear Science Engineering, Vol. 24, pp. 253–260, 1966.

    Google Scholar 

  7. Millar, C. H.,Fuel Management in Candu Reactors, Transactions of the American Nuclear Society, Vol. 20, pp. 350–361, 1975.

    Google Scholar 

  8. El-Hawary, M. E., andChristensen, G. S.,Optimal Economic Operation of Electric Power Systems, Academic Press, New York, New York, 1979.

    Google Scholar 

  9. Porter, W. A.,Modern Foundations of Systems Engineering, Macmillan, New York, New York, 1966.

    Google Scholar 

  10. 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.

  11. Isbin, H. S.,Introductory Nuclear Reactor Theory, Reinhold, New York, New York, 1963.

    Google Scholar 

  12. 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.

    Google Scholar 

  13. Mahmoud, M. S.,Multilevel Systems Control and Applications: A Survey, IEEE Transactions on Systems, Man, and Cybernetics, Vol. SMC-7, pp. 125–143, 1977.

    Google Scholar 

  14. Nieva, R., Christensen, G. S., andEl-Hawary, M. E.,Functional Optimization of Nuclear-Hydrothermal systems, Proceedings, Canadian Electrical Conference, Toronto, Ontario, Canada, 1978.

  15. 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.

    Google Scholar 

  16. 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.

    Google Scholar 

  17. 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.

    Google Scholar 

  18. Christensen, G. S., El-Hawary, M. E., andSoliman, S. A.,Optimal Control Applications in Electric Power Systems, Plenum Press, New York, New York, 1987.

    Google Scholar 

  19. Chaudhuri, S. P.,Distributed Optimal Control in a Nuclear Reactor, International Journal of Control, Vol. 16, pp. 927–937, 1972.

    Google Scholar 

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Author notes

  1. S. A. Soliman (Visiting Professor)

    Present address: Electrical Power and Machines Department, Ain Shams University, Abbassia, Cairo, Egypt

Authors and Affiliations

  1. Electrical Engineering Department, University of Alberta, Edmonton, Alberta, Canada

    G. S. Christensen (Professor) & S. A. Soliman (Visiting Professor)

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  1. G. S. Christensen
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  2. S. A. Soliman
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Additional information

Communicated by C. T. Leondes

This work supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. A4146.

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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

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