IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2022i1p93-d1015205.html
   My bibliography  Save this article

Optimal Operation of PV Sources in DC Grids for Improving Technical, Economical, and Environmental Conditions by Using Vortex Search Algorithm and a Matrix Hourly Power Flow

Author

Listed:
  • Luis Fernando Grisales-Noreña

    (Department of Electrical Engineering, Faculty of Engineering, Universidad de Talca, Curicó 3340000, Chile)

  • Andrés Alfonso Rosales-Muñoz

    (Departamento de Mecatrónica y Electromecánica, Facultad de Ingeniería, Instituto Tecnológico Metropolitano, Medellín 050036, Colombia)

  • Brandon Cortés-Caicedo

    (Departamento de Mecatrónica y Electromecánica, Facultad de Ingeniería, Instituto Tecnológico Metropolitano, Medellín 050036, Colombia)

  • Oscar Danilo Montoya

    (Grupo de Compatibilidad e Interferencia Electromagnética (GCEM), Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá 110231, Colombia
    Laboratorio Inteligente de Energía, Facultad de Ingeniería, Universidad Tecnológica de Bolívar, Cartagena 131001, Colombia)

  • Fabio Andrade

    (Electrical and Computer Engineering Department, University of Puerto Rico at Mayaguez, Mayaguez, PR 00680, USA)

Abstract

This document presents a master–slave methodology for solving the problem of optimal operation of photovoltaic (PV) distributed generators (DGs) in direct current (DC) networks. This problem was modeled using a nonlinear programming model (NLP) that considers the minimization of three different objective functions in a daily operation of the system. The first one corresponds to the minimization of the total operational cost of the system, including the energy purchasing cost to the conventional generators and maintenance costs of the PV sources; the second objective function corresponds to the reduction of the energy losses associated with the transport of energy in the network, and the third objective function is related to the minimization of the total emissions of CO 2 by the conventional generators installed on the DC grid. The minimization of these objective functions is achieved by using a master–slave optimization approach through the application of the Vortex Search algorithm combined with a matrix hourly power flow. To evaluate the effectiveness and robustness of the proposed approach, two test scenarios were used, which correspond to a grid-connected and a standalone network located in two different regions of Colombia. The grid-connected system emulates the behavior of the solar resource and power demand of the city of Medellín-Antioquia, and the standalone network corresponds to an adaptation of the generation and demand curves for the municipality of Capurganá-Choco. A numerical comparison was performed with four optimization methodologies reported in the literature: particle swarm optimization, multiverse optimizer, crow search algorithm, and salp swarm algorithm. The results obtained demonstrate that the proposed optimization approach achieved excellent solutions in terms of response quality, repeatability, and processing times.

Suggested Citation

  • Luis Fernando Grisales-Noreña & Andrés Alfonso Rosales-Muñoz & Brandon Cortés-Caicedo & Oscar Danilo Montoya & Fabio Andrade, 2022. "Optimal Operation of PV Sources in DC Grids for Improving Technical, Economical, and Environmental Conditions by Using Vortex Search Algorithm and a Matrix Hourly Power Flow," Mathematics, MDPI, vol. 11(1), pages 1-28, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:93-:d:1015205
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/1/93/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/1/93/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Fathy, Ahmed & Elaziz, Mohamed Abd & Alharbi, Abdullah G., 2020. "A novel approach based on hybrid vortex search algorithm and differential evolution for identifying the optimal parameters of PEM fuel cell," Renewable Energy, Elsevier, vol. 146(C), pages 1833-1845.
    2. Jeniffer Guadalupe Insuasty-Reina & Juan Carlos Osorio-Gomez & Diego Fernando Manotas-Duque, 2022. "A System Dynamics Model for the Analysis of CO2 Emissions Derived from the Inclusion of Hydrogen Obtained from Coal in the Energy Matrix in Colombia," International Journal of Energy Economics and Policy, Econjournals, vol. 12(2), pages 72-82, March.
    3. López, Andrea Ruíz & Krumm, Alexandra & Schattenhofer, Lukas & Burandt, Thorsten & Montoya, Felipe Corral & Oberländer, Nora & Oei, Pao-Yu, 2020. "Solar PV generation in Colombia - A qualitative and quantitative approach to analyze the potential of solar energy market," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 148, pages 1266-1279.
    4. Luis Fernando Grisales-Noreña & Oscar Danilo Montoya & Jesús C. Hernández & Carlos Andres Ramos-Paja & Alberto-Jesus Perea-Moreno, 2022. "A Discrete-Continuous PSO for the Optimal Integration of D-STATCOMs into Electrical Distribution Systems by Considering Annual Power Loss and Investment Costs," Mathematics, MDPI, vol. 10(14), pages 1-16, July.
    5. Tan, Qinliang & Ding, Yihong & Ye, Qi & Mei, Shufan & Zhang, Yimei & Wei, Yongmei, 2019. "Optimization and evaluation of a dispatch model for an integrated wind-photovoltaic-thermal power system based on dynamic carbon emissions trading," Applied Energy, Elsevier, vol. 253(C), pages 1-1.
    6. Andrés Alfonso Rosales-Muñoz & Luis Fernando Grisales-Noreña & Jhon Montano & Oscar Danilo Montoya & Alberto-Jesus Perea-Moreno, 2021. "Application of the Multiverse Optimization Method to Solve the Optimal Power Flow Problem in Direct Current Electrical Networks," Sustainability, MDPI, vol. 13(16), pages 1-28, August.
    7. López, Andrea Ruíz & Krumm, Alexandra & Schattenhofer, Lukas & Burandt, Thorsten & Montoya, Felipe Corral & Oberländer, Nora & Oei, Pao-Yu, 2020. "Solar PV generation in Colombia - A qualitative and quantitative approach to analyze the potential of solar energy market," Renewable Energy, Elsevier, vol. 148(C), pages 1266-1279.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Diego Fernando Vargas-Sosa & Oscar Danilo Montoya & Luis Fernando Grisales-Noreña, 2023. "Efficient Integration of Photovoltaic Solar Generators in Monopolar DC Networks through a Convex Mixed-Integer Optimization Model," Sustainability, MDPI, vol. 15(10), pages 1-17, May.
    2. Oscar Danilo Montoya & Federico Martin Serra & Walter Gil-González, 2023. "A Robust Conic Programming Approximation to Design an EMS in Monopolar DC Networks with a High Penetration of PV Plants," Energies, MDPI, vol. 16(18), pages 1-17, September.
    3. Luis Fernando Grisales-Noreña & Oscar Danilo Montoya & Brandon Cortés-Caicedo & Farhad Zishan & Javier Rosero-García, 2023. "Optimal Power Dispatch of PV Generators in AC Distribution Networks by Considering Solar, Environmental, and Power Demand Conditions from Colombia," Mathematics, MDPI, vol. 11(2), pages 1-20, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Brandon Cortés-Caicedo & Luis Fernando Grisales-Noreña & Oscar Danilo Montoya & Miguel Angel Rodriguez-Cabal & Javier Alveiro Rosero, 2022. "Energy Management System for the Optimal Operation of PV Generators in Distribution Systems Using the Antlion Optimizer: A Colombian Urban and Rural Case Study," Sustainability, MDPI, vol. 14(23), pages 1-35, December.
    2. Luis Fernando Grisales-Noreña & Brandon Cortés-Caicedo & Gerardo Alcalá & Oscar Danilo Montoya, 2023. "Applying the Crow Search Algorithm for the Optimal Integration of PV Generation Units in DC Networks," Mathematics, MDPI, vol. 11(2), pages 1-18, January.
    3. William Niebles-Nunez & Leonardo Niebles-Nunez & Lorena Hoyos Babilonia, 2022. "Energy Financing in Colombia: A Bibliometric Review," International Journal of Energy Economics and Policy, Econjournals, vol. 12(2), pages 459-466, March.
    4. de Doile, Gabriel Nasser Doyle & Rotella Junior, Paulo & Rocha, Luiz Célio Souza & Janda, Karel & Aquila, Giancarlo & Peruchi, Rogério Santana & Balestrassi, Pedro Paulo, 2022. "Feasibility of hybrid wind and photovoltaic distributed generation and battery energy storage systems under techno-economic regulation," Renewable Energy, Elsevier, vol. 195(C), pages 1310-1323.
    5. Montoya-Duque, Laura & Arango-Aramburo, Santiago & Arias-Gaviria, Jessica, 2022. "Simulating the effect of the Pay-as-you-go scheme for solar energy diffusion in Colombian off-grid regions," Energy, Elsevier, vol. 244(PB).
    6. Luis Fernando Grisales-Noreña & Oscar Danilo Montoya & Brandon Cortés-Caicedo & Farhad Zishan & Javier Rosero-García, 2023. "Optimal Power Dispatch of PV Generators in AC Distribution Networks by Considering Solar, Environmental, and Power Demand Conditions from Colombia," Mathematics, MDPI, vol. 11(2), pages 1-20, January.
    7. Brandon Cortés-Caicedo & Luis Fernando Grisales-Noreña & Oscar Danilo Montoya & Miguel-Angel Perea-Moreno & Alberto-Jesus Perea-Moreno, 2022. "Optimal Location and Sizing of PV Generation Units in Electrical Networks to Reduce the Total Annual Operating Costs: An Application of the Crow Search Algorithm," Mathematics, MDPI, vol. 10(20), pages 1-22, October.
    8. Juan D. Saldarriaga-Loaiza & Sergio D. Saldarriaga-Zuluaga & Jesús M. López-Lezama & Fernando Villada-Duque & Nicolás Muñoz-Galeano, 2022. "Optimal Structuring of Investments in Electricity Generation Projects in Colombia with Non-Conventional Energy Sources," Sustainability, MDPI, vol. 14(22), pages 1-21, November.
    9. Alejandro Betancur-Ramos & John Grimaldo-Guerrero & John William Grimaldo-Guerrero & Juan Rivera-Alvarado & Eilin G mez-Mesino, 2022. "Users, Vehicles Electrics, and Energy Markets in Colombia," International Journal of Energy Economics and Policy, Econjournals, vol. 12(5), pages 11-17, September.
    10. Henao, Felipe & Dyner, Isaac, 2020. "Renewables in the optimal expansion of colombian power considering the Hidroituango crisis," Renewable Energy, Elsevier, vol. 158(C), pages 612-627.
    11. Ramón Fernando Colmenares-Quintero & Gina Maestre-Gongora & Marieth Baquero-Almazo & Kim E. Stansfield & Juan Carlos Colmenares-Quintero, 2022. "Data Analysis of Electricity Service in Colombia’s Non-Interconnected Zones through Different Clustering Techniques," Energies, MDPI, vol. 15(20), pages 1-16, October.
    12. Oscar Danilo Montoya & Luis Fernando Grisales-Noreña & Diego Armando Giral-Ramírez, 2022. "Optimal Placement and Sizing of PV Sources in Distribution Grids Using a Modified Gradient-Based Metaheuristic Optimizer," Sustainability, MDPI, vol. 14(6), pages 1-19, March.
    13. Oscar Danilo Montoya & Luis Fernando Grisales-Noreña & Alberto-Jesus Perea-Moreno, 2021. "Optimal Investments in PV Sources for Grid-Connected Distribution Networks: An Application of the Discrete–Continuous Genetic Algorithm," Sustainability, MDPI, vol. 13(24), pages 1-19, December.
    14. Chul-Yong Lee & Jaekyun Ahn, 2020. "Stochastic Modeling of the Levelized Cost of Electricity for Solar PV," Energies, MDPI, vol. 13(11), pages 1-18, June.
    15. Carlos Cacciuttolo & Valentina Guzmán & Patricio Catriñir, 2024. "Renewable Solar Energy Facilities in South America—The Road to a Low-Carbon Sustainable Energy Matrix: A Systematic Review," Energies, MDPI, vol. 17(22), pages 1-50, November.
    16. Luis Fernando Grisales-Noreña & Andrés Alfonso Rosales-Muñoz & Oscar Danilo Montoya, 2023. "An Effective Power Dispatch of Photovoltaic Generators in DC Networks via the Antlion Optimizer," Energies, MDPI, vol. 16(3), pages 1-28, January.
    17. Kerstin Mohr, 2021. "Breaking the Dichotomies: Climate, Coal, and Gender. Paving the Way to a Just Transition. The Example of Colombia," Energies, MDPI, vol. 14(17), pages 1-18, September.
    18. Oscar Danilo Montoya & Luis Fernando Grisales-Noreña & Diego Armando Giral-Ramírez, 2023. "Multi-Objective Dispatch of PV Plants in Monopolar DC Grids Using a Weighted-Based Iterative Convex Solution Methodology," Energies, MDPI, vol. 16(2), pages 1-20, January.
    19. Qudrat-Ullah, Hassan & Kayal, Aymen & Mugumya, Andrew, 2021. "Cost-effective energy billing mechanisms for small and medium-scale industrial customers in Uganda," Energy, Elsevier, vol. 227(C).
    20. Zapata, Sebastian & Castaneda, Monica & Herrera, Milton M. & Dyner, Isaac, 2023. "Investigating the concurrence of transmission grid expansion and the dissemination of renewables," Energy, Elsevier, vol. 276(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:93-:d:1015205. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.