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Transient Stability Constraints for Optimal Power Flow Considering Wind Power Uncertainty

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  • Songkai Liu

    (College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China
    Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China)

  • Biqing Ye

    (College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China
    Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China)

  • Pan Hu

    (College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China
    Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China
    Electric Power Research Institute, State Grid Hubei Electric Power Company, Wuhan 430077, China)

  • Ming Wan

    (College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China
    Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China)

  • Jun Cao

    (College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China
    Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China)

  • Yitong Liu

    (College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China
    Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China)

Abstract

To address the issue of uncertainty in renewable energy and its impact on the safe and stable operation of power systems, this paper proposes a transient stability constrained optimal power flow (TSCOPF) calculation method that takes into account the uncertainty of wind power and load. First, a non-parametric kernel density estimation method is used to construct the probability density function of wind power, while the load uncertainty model is based on a normal distribution. Second, a TSCOPF model incorporating the critical clearing time (CCT) evaluation metric is constructed, and corresponding probabilistic constraints are established using opportunity constraint theory, thereby establishing a TSCOPF model that accounts for wind power and load uncertainties; then, a semi-invariant probabilistic flow calculation method based on de-randomized Halton sequences is used to convert opportunity constraints into deterministic constraints, and the improved sooty tern optimization algorithm (ISTOA) is employed for solution. Finally, the superiority and effectiveness of the proposed method are validated through simulation analysis of case studies.

Suggested Citation

  • Songkai Liu & Biqing Ye & Pan Hu & Ming Wan & Jun Cao & Yitong Liu, 2025. "Transient Stability Constraints for Optimal Power Flow Considering Wind Power Uncertainty," Energies, MDPI, vol. 18(17), pages 1-18, September.
    • Handle: RePEc:gam:jeners:v:18:y:2025:i:17:p:4708-:d:1742101
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    References listed on IDEAS

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    1. Renfeng Tao & Fengting Li & Yangqing Li, 2024. "A Bi-Level Optimized Dispatching Method for Grids with High Penetration of New Energy Considering Ancillary Service Costs," Energies, MDPI, vol. 17(13), pages 1-21, July.
    2. Rekha Guchhait & Biswajit Sarkar, 2023. "Increasing Growth of Renewable Energy: A State of Art," Energies, MDPI, vol. 16(6), pages 1-29, March.
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