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

Author

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  • 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
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    References listed on IDEAS

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    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, December.
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    Cited by:

    1. Simone Aparecida Rocha & Thiago Gomes de Mattos & Eduardo Gonzaga da Silveira, 2025. "A Practical Approach for Fault Location in Transmission Lines with Series Compensation Using Artificial Neural Networks: Results with Field Data," Energies, MDPI, vol. 18(1), pages 1-19, January.

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