The Exact Solution of the Environmental/Economic Dispatch Problem

In this paper, the exact analytical solution for the environmental/economic dispatch (EED) optimization problem is presented for the first time. The EED, which simultaneously satisfies multiple contradictory criteria, is stated as a multiobjective optimization problem (MOP). Our paper has improved s...

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Bibliographic Details
Published inIEEE transactions on power systems Vol. 27; no. 2; pp. 723 - 731
Main Authors Bayon, L., Grau, J. M., Ruiz, M. M., Suarez, P. M.
Format Journal Article
LanguageEnglish
Published IEEE 01.05.2012
Subjects
Economics
Environmental/economic dispatch
Fuels
Iterative methods
multiobjective optimization problem
Pareto optimal set
Pareto optimization
Polynomials
Propagation losses
transmission losses
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Summary:In this paper, the exact analytical solution for the environmental/economic dispatch (EED) optimization problem is presented for the first time. The EED, which simultaneously satisfies multiple contradictory criteria, is stated as a multiobjective optimization problem (MOP). Our paper has improved several aspects of a previous analytical approach. First, we take into account the unit capacity constraints in the exact formulae. Second, we obtain the set of compromise solutions known as Pareto optimal solutions and, third, our treatment of transmission losses satisfies the power balance constraint. In contrast with the known heuristic methods used in the literature, which only provide a reasonable solution (suboptimal, nearly global optimal), our method provides the global solution. Moreover, our method can obtain the Pareto optimal set under different loading conditions. The performance of the proposed technique is validated using a standard test system.
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2011.2179952