IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i20p3774-d941274.html
   My bibliography  Save this article

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

Author

Listed:
  • Brandon Cortés-Caicedo

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

  • Luis Fernando Grisales-Noreña

    (Departamento de Mecatrónica y Electromecánica, Facultad de Ingeniería, Instituto Tecnológico Metropolitano, Medellín 050036, Colombia
    Estudiante de Doctorado, Departamento de Ingeniería Eléctrica, Campus Lagunillas s/n, University of Jaén, Edificio A3, 23071 Jaén, Spain)

  • Oscar Danilo Montoya

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

  • Miguel-Angel Perea-Moreno

    (Grupo de investigación TEP178 Nuevas Tecnologías Aplicadas a la Agricultura y el Medioambiente, Universidad de Córdoba, 14071 Córdoba, Spain)

  • Alberto-Jesus Perea-Moreno

    (Departamento de Física Aplicada, Radiología y Medicina Física, Universidad de Córdoba, Campus de Rabanales, 14071 Córdoba, Spain)

Abstract

This study presents a master–slave methodology to solve the problem of optimally locating and sizing photovoltaic (PV) generation units in electrical networks. This problem is represented by means of a Mixed-Integer Nonlinear Programming (MINLP) model, whose objective function is to reduce the total annual operating costs of a network for a 20-year planning period. Such costs include (i) the costs of purchasing energy at the conventional generators (the main supply node in this particular case), (ii) the investment in the PV generation units, and (iii) their corresponding operation and maintenance costs. In the proposed master–slave method, the master stage uses the Discrete–Continuous version of the Crow Search Algorithm (DCCSA) to define the set of nodes where the PV generation units will be installed (location), as well as their nominal power (sizing), and the slave stage employs the successive approximation power flow technique to find the value of the objective function of each individual provided by the master stage. The numerical results obtained in the 33- and 69-node test systems demonstrated its applicability, efficiency, and robustness when compared to other methods reported in the specialized literature, such as the vortex search algorithm, the generalized normal distribution optimizer, and the particle swarm optimization algorithm. All simulations were performed in MATLAB using our own scripts.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3774-:d:941274
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/20/3774/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/20/3774/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Eltawil, Mohamed A. & Zhao, Zhengming, 2010. "Grid-connected photovoltaic power systems: Technical and potential problems--A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(1), pages 112-129, January.
    2. Minh Quan Duong & Thai Dinh Pham & Thang Trung Nguyen & Anh Tuan Doan & Hai Van Tran, 2019. "Determination of Optimal Location and Sizing of Solar Photovoltaic Distribution Generation Units in Radial Distribution Systems," Energies, MDPI, vol. 12(1), pages 1-24, January.
    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," Renewable Energy, Elsevier, vol. 148(C), pages 1266-1279.
    4. López González, Diana María & Garcia Rendon, John, 2022. "Opportunities and challenges of mainstreaming distributed energy resources towards the transition to more efficient and resilient energy markets," Renewable and Sustainable Energy Reviews, Elsevier, vol. 157(C).
    5. 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.
    6. Pimm, Andrew J. & Palczewski, Jan & Barbour, Edward R. & Cockerill, Tim T., 2021. "Using electricity storage to reduce greenhouse gas emissions," Applied Energy, Elsevier, vol. 282(PA).
    7. Beasley, J. E. & Chu, P. C., 1996. "A genetic algorithm for the set covering problem," European Journal of Operational Research, Elsevier, vol. 94(2), pages 392-404, October.
    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. David Steveen Guzmán-Romero & Brandon Cortés-Caicedo & Oscar Danilo Montoya, 2023. "Development of a MATLAB-GAMS Framework for Solving the Problem Regarding the Optimal Location and Sizing of PV Sources in Distribution Networks," Resources, MDPI, vol. 12(3), pages 1-19, March.
    2. 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.

    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. 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.
    2. 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.
    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. 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.
    8. 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.
    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. 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.
    16. 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.
    17. 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).
    18. 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).
    19. Maenhout, Broos & Vanhoucke, Mario, 2010. "A hybrid scatter search heuristic for personalized crew rostering in the airline industry," European Journal of Operational Research, Elsevier, vol. 206(1), pages 155-167, October.
    20. Rüdisüli, Martin & Romano, Elliot & Eggimann, Sven & Patel, Martin K., 2022. "Decarbonization strategies for Switzerland considering embedded greenhouse gas emissions in electricity imports," Energy Policy, Elsevier, vol. 162(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:10:y:2022:i:20:p:3774-:d:941274. 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.