IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v14y2021i5p1282-d506334.html
   My bibliography  Save this article

Application of the Vortex Search Algorithm to the Phase-Balancing Problem in Distribution Systems

Author

Listed:
  • Brandon Cortés-Caicedo

    (Estudiantes de Ingeniería Eléctrica, Universidad Distrital Francisco José de Caldas, Bogotá 11021, Colombia)

  • Laura Sofía Avellaneda-Gómez

    (Estudiantes de Ingeniería Eléctrica, Universidad Distrital Francisco José de Caldas, Bogotá 11021, Colombia)

  • Oscar Danilo Montoya

    (Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá 11021, Colombia
    Laboratorio Inteligente de Energía, Universidad Tecnológica de Bolívar, Cartagena 131001, Colombia)

  • Lazaro Alvarado-Barrios

    (Department of Engineering, Universidad Loyola Andalucía, 41704 Sevilla, Spain)

  • Harold R. Chamorro

    (Department of Electrical Engineering at KTH, Royal Institute of Technology, SE-100 44 Stockholm, Sweden)

Abstract

This article discusses the problem of minimizing power loss in unbalanced distribution systems through phase-balancing. This problem is represented by a mixed-integer nonlinear-programming mathematical model, which is solved by applying a discretely encoded Vortex Search Algorithm (DVSA). The numerical results of simulations performed in IEEE 8-, 25-, and 37-node test systems demonstrate the applicability of the proposed methodology when compared with the classical Cuh & Beasley genetic algorithm. In addition, the computation times required by the algorithm to find the optimal solution are in the order of seconds, which makes the proposed DVSA a robust, reliable, and efficient tool. All computational implementations have been developed in the MATLAB ® programming environment, and all the results have been evaluated in DigSILENT© software to verify the effectiveness and the proposed three-phase unbalanced power-flow method.

Suggested Citation

  • Brandon Cortés-Caicedo & Laura Sofía Avellaneda-Gómez & Oscar Danilo Montoya & Lazaro Alvarado-Barrios & Harold R. Chamorro, 2021. "Application of the Vortex Search Algorithm to the Phase-Balancing Problem in Distribution Systems," Energies, MDPI, vol. 14(5), pages 1-35, February.
  • Handle: RePEc:gam:jeners:v:14:y:2021:i:5:p:1282-:d:506334
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/14/5/1282/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/14/5/1282/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Walter Gil-González & Oscar Danilo Montoya & Arul Rajagopalan & Luis Fernando Grisales-Noreña & Jesus C. Hernández, 2020. "Optimal Selection and Location of Fixed-Step Capacitor Banks in Distribution Networks Using a Discrete Version of the Vortex Search Algorithm," Energies, MDPI, vol. 13(18), pages 1-21, September.
    2. Tao Shen & Yanjun Li & Ji Xiang, 2018. "A Graph-Based Power Flow Method for Balanced Distribution Systems," Energies, MDPI, vol. 11(3), pages 1-11, February.
    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. Daniel Federico A. Medina-Gaitán & Ian Dwrley Rozo-Rodriguez & Oscar Danilo Montoya, 2022. "Optimal Phase-Balancing in Three-Phase Distribution Networks Considering Shunt Reactive Power Compensation with Fixed-Step Capacitor Banks," Sustainability, MDPI, vol. 15(1), pages 1-22, December.
    2. Harshavardhan Palahalli & Paolo Maffezzoni & Giambattista Gruosso, 2021. "Gaussian Copula Methodology to Model Photovoltaic Generation Uncertainty Correlation in Power Distribution Networks," Energies, MDPI, vol. 14(9), pages 1-16, April.
    3. Oscar Danilo Montoya & Jorge Alexander Alarcon-Villamil & Jesus C. Hernández, 2021. "Operating Cost Reduction in Distribution Networks Based on the Optimal Phase-Swapping including the Costs of the Working Groups and Energy Losses," Energies, MDPI, vol. 14(15), pages 1-22, July.
    4. Oscar Danilo Montoya & Federico Martin Serra & Cristian Hernan De Angelo & Harold R. Chamorro & Lazaro Alvarado-Barrios, 2021. "Heuristic Methodology for Planning AC Rural Medium-Voltage Distribution Grids," Energies, MDPI, vol. 14(16), pages 1-20, August.
    5. Brandon Cortés-Caicedo & Luis Fernando Grisales-Noreña & Oscar Danilo Montoya, 2022. "Optimal Selection of Conductor Sizes in Three-Phase Asymmetric Distribution Networks Considering Optimal Phase-Balancing: An Application of the Salp Swarm Algorithm," Mathematics, MDPI, vol. 10(18), pages 1-34, September.

    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. Oscar Danilo Montoya & Jorge Alexander Alarcon-Villamil & Jesus C. Hernández, 2021. "Operating Cost Reduction in Distribution Networks Based on the Optimal Phase-Swapping including the Costs of the Working Groups and Energy Losses," Energies, MDPI, vol. 14(15), pages 1-22, July.
    2. Oscar Danilo Montoya & Francisco David Moya & Arul Rajagopalan, 2022. "Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation," Mathematics, MDPI, vol. 10(9), pages 1-14, May.
    3. Oscar Danilo Montoya & Walter Gil-González & Jesus C. Hernández, 2023. "Optimal Power Flow Solution for Bipolar DC Networks Using a Recursive Quadratic Approximation," Energies, MDPI, vol. 16(2), pages 1-17, January.
    4. 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.
    5. Cai, Pengcheng & Mi, Yang & Ma, Siyuan & Li, Hongzhong & Li, Dongdong & Wang, Peng, 2023. "Hierarchical game for integrated energy system and electricity-hydrogen hybrid charging station under distributionally robust optimization," Energy, Elsevier, vol. 283(C).
    6. Zhang, Wen-Yi & Chen, Yue & Wang, Yi & Xu, Yunjian, 2023. "Equilibrium analysis of a peer-to-peer energy trading market with shared energy storage in a power transmission grid," Energy, Elsevier, vol. 274(C).
    7. Jun Zhao & Xiaonan Wang & Jinsheng Chu, 2022. "The Strategies for Increasing Grid-Integrated Share of Renewable Energy with Energy Storage and Existing Coal Fired Power Generation in China," Energies, MDPI, vol. 15(13), pages 1-18, June.
    8. O. D. Montoya & W. Gil-González & J. C. Hernández & D. A. Giral-Ramírez & A. Medina-Quesada, 2020. "A Mixed-Integer Nonlinear Programming Model for Optimal Reconfiguration of DC Distribution Feeders," Energies, MDPI, vol. 13(17), pages 1-22, August.
    9. Luis Fernando Grisales-Noreña & Oscar Danilo Montoya & Ricardo Alberto Hincapié-Isaza & Mauricio Granada Echeverri & Alberto-Jesus Perea-Moreno, 2021. "Optimal Location and Sizing of DGs in DC Networks Using a Hybrid Methodology Based on the PPBIL Algorithm and the VSA," Mathematics, MDPI, vol. 9(16), pages 1-18, August.
    10. Walter Gil-González & Oscar Danilo Montoya & Arul Rajagopalan & Luis Fernando Grisales-Noreña & Jesus C. Hernández, 2020. "Optimal Selection and Location of Fixed-Step Capacitor Banks in Distribution Networks Using a Discrete Version of the Vortex Search Algorithm," Energies, MDPI, vol. 13(18), pages 1-21, September.
    11. 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.
    12. 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.
    13. Juhani Rantaniemi & Jaakko Jääskeläinen & Jukka Lassila & Samuli Honkapuro, 2022. "A Study on the Impact of Distance-Based Value Loss on Transmission Network Power Flow Using Synthetic Networks," Energies, MDPI, vol. 15(2), pages 1-12, January.
    14. Zahid Javid & Ulas Karaagac & Ilhan Kocar & Ka Wing Chan, 2021. "Laplacian Matrix-Based Power Flow Formulation for LVDC Grids with Radial and Meshed Configurations," Energies, MDPI, vol. 14(7), pages 1-21, March.

    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:jeners:v:14:y:2021:i:5:p:1282-:d:506334. 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.