Transient Stability Constraints for Optimal Power Flow Considering Wind Power Uncertainty

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.

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Publication Details

Journal
Energies
Published
2025-09-04
DOI
https://doi.org/10.3390/en18174708
Citations
3
Primary Topic
Electric Power System Optimization
Type
article
Field-Weighted Citation Impact
2.19

Funders

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article

Transient Stability Constraints for Optimal Power Flow Considering Wind Power Uncertainty

Songkai Liu, Jun Cao, Biqing Ye, Pan Hu et al.
3 citations
Energies
Electric Power System Optimization
2.19
article

Transient Stability Constraints for Optimal Power Flow Considering Wind Power Uncertainty

Songkai Liu, Jun Cao, Biqing Ye, Pan Hu, Wan Ming, Yitong Liu
article en
3 citations

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.

EnergiesVol. 18(17)
China Three Gorges University (CN), State Grid Hebei Electric Power Company
National Natural Science Foundation of China
Openalex Percentile: Top 11%
Electric Power System Optimization
2.19
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Transient Stability Constraints for Optimal Power Flow Considering Wind Power Uncertainty — Songkai Liu, Jun Cao, et al. · Energies (2025) | TGRS Research Map | TGRS