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SOCP Relaxations of Optimal Power Flow Problem Considering Current Margins in Radial Networks

Author

Listed:
  • Yuwei Chen

    (College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)

  • Ji Xiang

    (College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)

  • Yanjun Li

    (School of Information and Electrical Engineering, Zhejiang University City College, Hangzhou 310030, China)

Abstract

Optimal power flow (OPF) is a non-linear and non-convex problem that seeks the optimization of a power system operation point to minimize the total generation costs or transmission losses. This study proposes an OPF model considering current margins in radial networks. The objective function of this OPF model has an additional term of current margins of the line besides the traditional transmission losses and generations costs, which contributes to thermal stability margins of power systems. The model is a reformulated bus injection model with clear physical meanings. Second order cone program (SOCP) relaxations for the proposed OPF are made, followed by the over-satisfaction condition guaranteeing the exactness of the SOCP relaxations. A simple 6-node case and several IEEE benchmark systems are studied to illustrate the efficiency of the developed results.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:11:p:3164-:d:183045
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    Cited by:

    1. 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.
    2. Yuwei Chen & Haifeng Qi & Hongke Li & Han Xu & Qiang Yang & Qing Chen, 2022. "Convex-Optimization-Based Power-Flow Calculation Method for Offshore Wind Systems," Energies, MDPI, vol. 15(20), pages 1-13, October.
    3. Oscar Danilo Montoya & Farhad Zishan & Diego Armando Giral-Ramírez, 2022. "Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks," Mathematics, MDPI, vol. 10(19), pages 1-14, October.
    4. Francisco G. Montoya & Raúl Baños & Alfredo Alcayde & Francisco Manzano-Agugliaro, 2019. "Optimization Methods Applied to Power Systems," Energies, MDPI, vol. 12(12), pages 1-8, June.
    5. Hyeon Woo & Yongju Son & Jintae Cho & Sungyun Choi, 2022. "Stochastic Second-Order Conic Programming for Optimal Sizing of Distributed Generator Units and Electric Vehicle Charging Stations," Sustainability, MDPI, vol. 14(9), pages 1-19, April.

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