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Convex-Optimization-Based Power-Flow Calculation Method for Offshore Wind Systems

Author

Listed:
  • Yuwei Chen

    (PowerChina Huadong Engineering Corporation Limited, Hangzhou 311122, China)

  • Haifeng Qi

    (PowerChina Huadong Engineering Corporation Limited, Hangzhou 311122, China)

  • Hongke Li

    (PowerChina Huadong Engineering Corporation Limited, Hangzhou 311122, China)

  • Han Xu

    (PowerChina Huadong Engineering Corporation Limited, Hangzhou 311122, China)

  • Qiang Yang

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

  • Qing Chen

    (PowerChina Huadong Engineering Corporation Limited, Hangzhou 311122, China)

Abstract

Offshore wind farms have boomed worldwide due to the sustainability of wind power and ocean resources. Power grid companies should consider the wind power consumption problem with more power generated. Power-flow calculation is the most fundamental tool in energy management. This paper proposes the convex-relaxation-based method for offshore wind farms’ power flow. In this method, the traditional equations’ problem solving is transferred into standard convex optimization, which can be solved efficiently with unique optimum. Second-order cone relaxations are imposed to describe the quadratic relationship. The exactness of the relaxation is guaranteed with the special definition of the objective function.The superiority of the proposed method is tested on the case study, for which a computational efficiency improvement is shown. Moreover, the reliability of the power-flow results is verified within the precision tolerance.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:20:p:7717-:d:946812
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    References listed on IDEAS

    as
    1. 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.
    2. Simon N. Wood, 2011. "Fast stable restricted maximum likelihood and marginal likelihood estimation of semiparametric generalized linear models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 73(1), pages 3-36, January.
    3. Esteban, M. Dolores & Diez, J. Javier & López, Jose S. & Negro, Vicente, 2011. "Why offshore wind energy?," Renewable Energy, Elsevier, vol. 36(2), pages 444-450.
    4. Veerasamy, Veerapandiyan & Abdul Wahab, Noor Izzri & Ramachandran, Rajeswari & Othman, Mohammad Lutfi & Hizam, Hashim & Devendran, Vidhya Sagar & Irudayaraj, Andrew Xavier Raj & Vinayagam, Arangarajan, 2021. "Recurrent network based power flow solution for voltage stability assessment and improvement with distributed energy sources," Applied Energy, Elsevier, vol. 302(C).
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