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Voltage Stability Analysis in Medium-Voltage Distribution Networks Using a Second-Order Cone Approximation

Author

Listed:
  • Oscar Danilo Montoya

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

  • Walter Gil-González

    (Facultad de Ingeniería, Institución Universitaria Pascual Bravo, Campus Robledo, Medellín 050036, Colombia)

  • Andrés Arias-Londoño

    (Facultad de Ingeniería, Institución Universitaria Pascual Bravo, Campus Robledo, Medellín 050036, Colombia)

  • Arul Rajagopalan

    (School of Electrical Engineering, Vellore Institute of Technology, Chennai 632014, India)

  • Jesus C. Hernández

    (Department of Electrical Engineering, Campus Lagunillas s/n, University of Jaén, Edificio A3, 23071 Jaén, Spain)

Abstract

This paper addresses the voltage stability margin calculation in medium-voltage distribution networks in the context of exact mathematical modeling. This margin calculation is performed with a second-order cone (SOCP) reformulation of the classical nonlinear non-convex optimal power flow problems. The main idea around the SOCP approximation is to guarantee the global optimal solution via convex optimization, considering as the objective function the λ -coefficient associated with the maximum possible increment of the load consumption at all the nodes. Different simulation cases are considered in one test feeder, described as follows: (i) the distribution network without penetration of distributed generation; (ii) the distribution network with penetration of distributed generation; and (iii) the distribution grid with capacitive compensation. Numerical results in the test system demonstrated the effectiveness of the proposed SOCP approximation to determine the λ -coefficient. In addition, the proposed approximation is compared with nonlinear tools available in the literature. All the simulations are carried out in the MATLAB software with the CVX package and the Gurobi solver.

Suggested Citation

  • Oscar Danilo Montoya & Walter Gil-González & Andrés Arias-Londoño & Arul Rajagopalan & Jesus C. Hernández, 2020. "Voltage Stability Analysis in Medium-Voltage Distribution Networks Using a Second-Order Cone Approximation," Energies, MDPI, vol. 13(21), pages 1-15, November.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:21:p:5717-:d:438697
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    References listed on IDEAS

    as
    1. Isaiah Adebayo & Yanxia Sun, 2017. "New Performance Indices for Voltage Stability Analysis in a Power System," Energies, MDPI, vol. 10(12), pages 1-18, December.
    2. Arun Onlam & Daranpob Yodphet & Rongrit Chatthaworn & Chayada Surawanitkun & Apirat Siritaratiwat & Pirat Khunkitti, 2019. "Power Loss Minimization and Voltage Stability Improvement in Electrical Distribution System via Network Reconfiguration and Distributed Generation Placement Using Novel Adaptive Shuffled Frogs Leaping," Energies, MDPI, vol. 12(3), pages 1-12, February.
    3. Majid Ghaffarianfar & Amin Hajizadeh, 2018. "Voltage Stability of Low-Voltage Distribution Grid with High Penetration of Photovoltaic Power Units," Energies, MDPI, vol. 11(8), pages 1-13, July.
    4. Yuwei Chen & Ji Xiang & Yanjun Li, 2018. "SOCP Relaxations of Optimal Power Flow Problem Considering Current Margins in Radial Networks," Energies, MDPI, vol. 11(11), pages 1-17, November.
    5. Oscar Danilo Montoya & Walter Gil-González & Luis Grisales-Noreña & César Orozco-Henao & Federico Serra, 2019. "Economic Dispatch of BESS and Renewable Generators in DC Microgrids Using Voltage-Dependent Load Models," Energies, MDPI, vol. 12(23), pages 1-20, November.
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    Cited by:

    1. Salah K. ElSayed & Ehab E. Elattar, 2021. "Slime Mold Algorithm for Optimal Reactive Power Dispatch Combining with Renewable Energy Sources," Sustainability, MDPI, vol. 13(11), pages 1-25, May.
    2. Tianhao Song & Xiaoqing Han & Baifu Zhang, 2021. "Multi-Time-Scale Optimal Scheduling in Active Distribution Network with Voltage Stability Constraints," Energies, MDPI, vol. 14(21), pages 1-20, November.
    3. Alena Vagaská & Miroslav Gombár & Ľuboslav Straka, 2022. "Selected Mathematical Optimization Methods for Solving Problems of Engineering Practice," Energies, MDPI, vol. 15(6), pages 1-22, March.

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