Abstract
We present in this paper a new approach to finding the monthly optimal operation of a multireservoir power system connected in series on a river. The hydroelectric power generation is a highly nonlinear function of the storage, and the conversion factor assigned to each power plant is also a nonlinear function of the storage. We use for both a quadratic function of the storage; the resulting problem has a highly nonlinear objective function and linear constraints. We propose a transformation such that the system equations are reduced to linear-quadratic form. Lagrange and Kuhn-Tucker multipliers are used to adjoin the equality and inequality constraints to the objective function. Numerical results are presented for a real system in operation consisting of two reservoirs in series on a river for widely different water conditions.
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Communicated by C. T. Leondes
This work was supported by the National Research Council of Canada, Grant No. A4146. The authors would like to acknowledge data obtained from B.C. Hydro.
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Soliman, S.A., Christensen, G.S. Optimization of reservoirs in series on a river with a nonlinear storage curve for long-term regulation. J Optim Theory Appl 58, 109–126 (1988). https://doi.org/10.1007/BF00939773
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DOI: https://doi.org/10.1007/BF00939773