Optimal hydrothermal scheduling with variable production coefficient

H. J. Bortolossi, M. V. Pereira and C. Tomei

Mathematical Methods of Operations Research, 2002, vol. 55, issue 1, 36 pages

Abstract: We consider the optimal operation of a hydroelectric plant supplemented by a set of thermal plants. The initial model gives rise to a discrete minimization problem with a convex cost function, submitted to both concave and convex restrictions. The geometry of the water reservoir is taken into account by a production coefficient, which is a function of the volume of available water. A slightly different formulation of the problem allows for a continuous limit, in which both the geometry of the restrictions and the optimal operation modes admit a simple description. Optimal operations correspond to juxtapositions of arcs in the boundary of the admissible set and pieces of geodesic-like trajectories in a 1-1 space-time. For the general problem, we show existence of optimal operations, and, with stronger hypothesis, also uniqueness within a special class of thrifty operations. A numerical example, with data obtained from a concrete situation, is solved by making use of the characterization of optimal modes. Copyright Springer-Verlag Berlin Heidelberg 2002

Keywords: Key words: hydrothermal scheduling; nonconvex optimization (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/s001860200174

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