Solution to the Economic Emission Dispatch Problem Using Numerical Polynomial Homotopy Continuation

Oracio I. Barbosa-Ayala, Jhon A. Montañez-Barrera, Cesar E. Damian-Ascencio, Adriana Saldaña-Robles, J. Arturo Alfaro-Ayala, Jose Alfredo Padilla-Medina and Sergio Cano-Andrade
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Oracio I. Barbosa-Ayala: Department of Mechanical Engineering, Universidad de Guanajuato, Salamanca, GTO 36885, Mexico
Jhon A. Montañez-Barrera: Department of Mechanical Engineering, Universidad de Guanajuato, Salamanca, GTO 36885, Mexico
Cesar E. Damian-Ascencio: Department of Mechanical Engineering, Universidad de Guanajuato, Salamanca, GTO 36885, Mexico
Adriana Saldaña-Robles: Department of Agricultural Mechanical Engineering, Universidad de Guanajuato, Irapuato, GTO 36500, Mexico
J. Arturo Alfaro-Ayala: Department of Chemical Engineering, Universidad de Guanajuato, Guanajuato, GTO 36050, Mexico
Jose Alfredo Padilla-Medina: Department of Electronics Engineering, Technological Institute of Celaya, Celaya, GTO 38010, Mexico
Sergio Cano-Andrade: Department of Mechanical Engineering, Universidad de Guanajuato, Salamanca, GTO 36885, Mexico

Energies, 2020, vol. 13, issue 17, 1-15

Abstract: The economic emission dispatch (EED) is a highly constrained nonlinear multiobjective optimization problem with a convex (or nonconvex) solution space. These characteristics and constraints make the EED a difficult problem to solve. Several approaches for a solution have been proposed, such as deterministic techniques, stochastic techniques, or a combination of both. This work presents the use of an algebraic (deterministic) technique, the numerical polynomial homotopy continuation (NPHC) method, to solve the EED problem. A comparison with the sequential quadratic programming (SQP) algorithm and the nondominated sorting genetic algorithm II (NSGA-II) is also presented. Results show that the NPHC algorithm finds all the roots (solutions) of the problem starting from any initial point and assures an accurate solution with a good convergence time. In addition, the NPHC algorithm provides a more accurate solution than the SQP algorithm and the NSGA-II.

Keywords: numerical polynomial homotopy continuation; multiobjective optimization; power generation; economic emission dispatch (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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