a new formulation of the equivalent thermal in optimization of hydrothermal systems

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ID: 243734
2002
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Abstract
In this paper, we revise the classical formulation of the problem depriving it of the concepts that are superfluous from the mathematical point of view. We observe that a number of power stations can be substituted by a single one that behaves equivalently to the entire set. Proceeding in this way, we obtain a variational formulation in its purest sense (without restrictions). This formulation allows us to employ the theory of calculus of variations to the highest degree. We then calculate the equivalent minimizer in the case where the cost functions are second-order polynomials. We prove that the equivalent minimizer is a second-order polynomial with piece-wise constant coefficients. Moreover, it belongs to the class C1. Finally, we present various examples prompted by real systems and perform the proposed algorithms using Mathematica.
Reference Key
bayn2002mathematicala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;L. Bayón;J. M. Grau;P. Suárez
Journal journal of power sources
Year 2002
DOI
10.1080/10241230215284
URL
http://dx.doi.org/10.1080/10241230215284
Keywords
civil engineering (general)mathematics engineering (general)

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