IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v16y2023i15p5595-d1202014.html
   My bibliography  Save this article

Application of Nonlinear Optimization for Fault Location in Transmission Lines with Series Compensation Protected by Varistors

Author

Listed:
  • Simone Aparecida Rocha

    (Postgraduate Program in Mathematical and Computational Modeling, Centro Federal de Educação Tecnológica de Minas Gerais, Belo Horizonte 30180-001, Brazil)

  • Rodrigo Tomas Nogueira Cardoso

    (Postgraduate Program in Mathematical and Computational Modeling, Centro Federal de Educação Tecnológica de Minas Gerais, Belo Horizonte 30180-001, Brazil)

  • Eduardo Gonzaga Da Silveira

    (Department of Electrical Engineering, Centro Federal de Educação Tecnológica de Minas Gerais, Belo Horizonte 30180-001, Brazil)

  • Alex-Sander Amavel Luiz

    (Department of Electrical Engineering, Centro Federal de Educação Tecnológica de Minas Gerais, Belo Horizonte 30180-001, Brazil)

Abstract

This paper introduces a novel approach to fault localization in transmission lines with series compensation using nonlinear optimization. The objective function minimization provides information on the fault distance and the current at which the protective varistor starts conducting. Terminal source data, the maximum current capacity of the capacitor, and the operating curve of the metal oxide varistor protection element are not required. The proposed method successfully met the predefined objectives, with a maximum error of 1.13% in simulated scenarios. In validating the method using real cases from a Brazilian energy concessionaire, the errors were below 0.5%.

Suggested Citation

  • Simone Aparecida Rocha & Rodrigo Tomas Nogueira Cardoso & Eduardo Gonzaga Da Silveira & Alex-Sander Amavel Luiz, 2023. "Application of Nonlinear Optimization for Fault Location in Transmission Lines with Series Compensation Protected by Varistors," Energies, MDPI, vol. 16(15), pages 1-20, July.
  • Handle: RePEc:gam:jeners:v:16:y:2023:i:15:p:5595-:d:1202014
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/16/15/5595/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/16/15/5595/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Camilo Andrés Ordóñez & Antonio Gómez-Expósito & José María Maza-Ortega, 2021. "Series Compensation of Transmission Systems: A Literature Survey," Energies, MDPI, vol. 14(6), pages 1-28, March.
    2. David G. Luenberger & Yinyu Ye, 2008. "Linear and Nonlinear Programming," International Series in Operations Research and Management Science, Springer, edition 0, number 978-0-387-74503-9, March.
    Full references (including those not matched with items on IDEAS)

    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. Shahmohammadi, Ali & Sioshansi, Ramteen & Conejo, Antonio J. & Afsharnia, Saeed, 2018. "Market equilibria and interactions between strategic generation, wind, and storage," Applied Energy, Elsevier, vol. 220(C), pages 876-892.
    2. Alp Atakan & Mehmet Ekmekci & Ludovic Renou, 2021. "Cross-verification and Persuasive Cheap Talk," Papers 2102.13562, arXiv.org, revised Apr 2021.
    3. Arthur Medeiros & Thales Ramos & José Tavares de Oliveira & Manoel F. Medeiros Júnior, 2020. "Direct Voltage Control of a Doubly Fed Induction Generator by Means of Optimal Strategy," Energies, MDPI, vol. 13(3), pages 1-28, February.
    4. Ivorra, Benjamin & Mohammadi, Bijan & Manuel Ramos, Angel, 2015. "A multi-layer line search method to improve the initialization of optimization algorithms," European Journal of Operational Research, Elsevier, vol. 247(3), pages 711-720.
    5. Tanaka, Ken'ichiro & Toda, Alexis Akira, 2015. "Discretizing Distributions with Exact Moments: Error Estimate and Convergence Analysis," University of California at San Diego, Economics Working Paper Series qt7g23r5kh, Department of Economics, UC San Diego.
    6. Ashrafi, M. & Khanjani, M.J. & Fadaei-Kermani, E. & Barani, G.A., 2015. "Farm drainage channel network optimization by improved modified minimal spanning tree," Agricultural Water Management, Elsevier, vol. 161(C), pages 1-8.
    7. Sergey Badikov & Antoine Jacquier & Daphne Qing Liu & Patrick Roome, 2016. "No-arbitrage bounds for the forward smile given marginals," Papers 1603.06389, arXiv.org, revised Oct 2016.
    8. Szidarovszky, Ferenc & Luo, Yi, 2014. "Incorporating risk seeking attitude into defense strategy," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 104-109.
    9. Giorgio, 2019. "On Second-Order Optimality Conditions in Smooth Nonlinear Programming Problems," DEM Working Papers Series 171, University of Pavia, Department of Economics and Management.
    10. Csaba I. Fábián, 2021. "Gaining traction: on the convergence of an inner approximation scheme for probability maximization," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(2), pages 491-519, June.
    11. Bouslah, B. & Gharbi, A. & Pellerin, R., 2016. "Integrated production, sampling quality control and maintenance of deteriorating production systems with AOQL constraint," Omega, Elsevier, vol. 61(C), pages 110-126.
    12. Rafał Wiśniowski & Krzysztof Skrzypaszek & Tomasz Małachowski, 2020. "Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical Methods," Energies, MDPI, vol. 13(12), pages 1-17, June.
    13. Martins Barros, Rafael & Guimarães Lage, Guilherme & de Andrade Lira Rabêlo, Ricardo, 2022. "Sequencing paths of optimal control adjustments determined by the optimal reactive dispatch via Lagrange multiplier sensitivity analysis," European Journal of Operational Research, Elsevier, vol. 301(1), pages 373-385.
    14. Yuichi Takano & Renata Sotirov, 2012. "A polynomial optimization approach to constant rebalanced portfolio selection," Computational Optimization and Applications, Springer, vol. 52(3), pages 645-666, July.
    15. Enrique I. Acuña & Ian S. Lowndes, 2014. "A Review of Primary Mine Ventilation System Optimization," Interfaces, INFORMS, vol. 44(2), pages 163-175, April.
    16. Nadia Demarteau & Thomas Breuer & Baudouin Standaert, 2012. "Selecting a Mix of Prevention Strategies against Cervical Cancer for Maximum Efficiency with an Optimization Program," PharmacoEconomics, Springer, vol. 30(4), pages 337-353, April.
    17. repec:cte:wsrepe:38369 is not listed on IDEAS
    18. Charles R. Weisbin & Joseph Mrozinski & William Lincoln & Alberto Elfes & Kacie Shelton & Hook Hua & Jeffrey H. Smith & Virgil Adumitroaie & Robert Silberg, 2010. "Lunar architecture and technology analysis driven by lunar science scenarios," Systems Engineering, John Wiley & Sons, vol. 13(3), pages 217-231, September.
    19. Andres Quiros-Granados & JAvier Trejos-Zelaya, 2019. "Estimation of the yield curve for Costa Rica using combinatorial optimization metaheuristics applied to nonlinear regression," Papers 2001.00920, arXiv.org.
    20. Vittorio Nicolardi, 2013. "Simultaneously Balancing Supply--Use Tables At Current And Constant Prices: A New Procedure," Economic Systems Research, Taylor & Francis Journals, vol. 25(4), pages 409-434, December.
    21. Alina R. Battalova* & Nadezhda A. Opokina, 2018. "Economic-Mathematical Model of the Structure of Nutrition of Population in the Region," The Journal of Social Sciences Research, Academic Research Publishing Group, pages 275-280:1.

    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:16:y:2023:i:15:p:5595-:d:1202014. 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.