Transient Stability Constraints for Optimal Power Flow Considering Wind Power Uncertainty

Songkai Liu, Biqing Ye (), Pan Hu, Ming Wan, Jun Cao and Yitong Liu
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Songkai Liu: College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China
Biqing Ye: College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China
Pan Hu: College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China
Ming Wan: College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China
Jun Cao: College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China
Yitong Liu: College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China

Energies, 2025, vol. 18, issue 17, 1-18

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.

Keywords: transient stability constrained optimal power flow; nonparametric kernel density estimation; opportunity constraints; semi-invariant (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2025
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