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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Oracio I. Barbosa-Ayala & Jhon A. Montañez-Barrera & Cesar E. Damian-Ascencio & Adriana Saldaña-Robles & J. Arturo Alfaro-Ayala & Jose Alfredo Padilla-Medina & Sergio Cano-Andrade, 2020. "Solution to the Economic Emission Dispatch Problem Using Numerical Polynomial Homotopy Continuation," Energies, MDPI, vol. 13(17), pages 1-15, August.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:17:p:4281-:d:400751
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    References listed on IDEAS

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    Cited by:

    1. Liu, Zhi-Feng & Li, Ling-Ling & Liu, Yu-Wei & Liu, Jia-Qi & Li, Heng-Yi & Shen, Qiang, 2021. "Dynamic economic emission dispatch considering renewable energy generation: A novel multi-objective optimization approach," Energy, Elsevier, vol. 235(C).
    2. Kansal, Veenus & Dhillon, J.S., 2022. "Ameliorated artificial hummingbird algorithm for coordinated wind-solar-thermal generation scheduling problem in multiobjective framework," Applied Energy, Elsevier, vol. 326(C).
    3. Lingling Li & Jiarui Pei & Qiang Shen, 2023. "A Review of Research on Dynamic and Static Economic Dispatching of Hybrid Wind–Thermal Power Microgrids," Energies, MDPI, vol. 16(10), pages 1-23, May.

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