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On the Applicability of Two Families of Cubic Techniques for Power Flow Analysis

Author

Listed:
  • Marcos Tostado-Véliz

    (Electrical Engineering Department, University of Jaen, 23071 Jaen, Spain)

  • Salah Kamel

    (Department of Electrical Engineering, Faculty of Engineering, Aswan University, Aswan 85128, Egypt)

  • Francisco Jurado

    (Electrical Engineering Department, University of Jaen, 23071 Jaen, Spain)

  • Francisco J. Ruiz-Rodriguez

    (Electrical and Thermal Engineering Department, University of Huelva, 21007 Huelva, Spain)

Abstract

This work presents a comprehensive analysis of two cubic techniques for Power Flow (PF) studies. In this regard, the families of Weerakoon-like and Darvishi-like techniques are considered. Several theoretical findings are presented and posteriorly confirmed by multiple numerical results. Based on the obtained results, the Weerakoon’s technique is considered more reliable than the Newton-Raphson and Darvishi’s methods. As counterpart, it presents a high computational burden. Regarding this point, the Darvishi’s technique has turned out to be quite efficient and fully competitive with the Newton’s scheme.

Suggested Citation

  • Marcos Tostado-Véliz & Salah Kamel & Francisco Jurado & Francisco J. Ruiz-Rodriguez, 2021. "On the Applicability of Two Families of Cubic Techniques for Power Flow Analysis," Energies, MDPI, vol. 14(14), pages 1-15, July.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:14:p:4108-:d:590333
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    References listed on IDEAS

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    1. Rostamy, Davoud & Bakhtiari, Parisa, 2015. "New efficient multipoint iterative methods for solving nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 350-356.
    2. Chun, Changbum & Neta, Beny, 2019. "Developing high order methods for the solution of systems of nonlinear equations," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 178-190.
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    Cited by:

    1. Alisson Lima-Silva & Francisco Damasceno Freitas, 2024. "Exploring a Dynamic Homotopy Technique to Enhance the Convergence of Classical Power Flow Iterative Solvers in Ill-Conditioned Power System Models," Energies, MDPI, vol. 17(18), pages 1-28, September.
    2. Diego Carrión & Edwin García & Manuel Jaramillo & Jorge W. González, 2021. "A Novel Methodology for Optimal SVC Location Considering N-1 Contingencies and Reactive Power Flows Reconfiguration," Energies, MDPI, vol. 14(20), pages 1-17, October.
    3. Marcos Tostado-Véliz & Talal Alharbi & Hisham Alharbi & Salah Kamel & Francisco Jurado, 2022. "On Optimal Settings for a Family of Runge–Kutta-Based Power-Flow Solvers Suitable for Large-Scale Ill-Conditioned Cases," Mathematics, MDPI, vol. 10(8), pages 1-19, April.

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