Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509843 | Journal of Computational and Applied Mathematics | 2005 | 13 Pages |
Abstract
In this paper we revise the classical formulation of the problem of the optimization of hydrothermal systems. First we demonstrate that a number of thermal plants can be substituted by a single one that behaves equivalently to the entire set. We then calculate the equivalent plant in the case where the cost functions are general (nonquadratic). We prove that the equivalent thermal plant is a second-order polynomial with piece-wise constant coefficients. Moreover, it belongs to the class C1. Next we calculate the equivalent plant in the case of imposing constraints of minimum or maximum thermal power. Finally, we present an example and execute the proposed algorithm using Mathematica package.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
L. Bayón, J.M. Grau, M.M. Ruiz, P.M. Suárez,