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Distributed Privacy-Preserving Stochastic Optimization for Available Transfer Capacity Assessment in Power Grids Considering Wind Power Uncertainty

Shaolian Xia, Huaqiang Xiong, Yi Dong, Mingyu Yan, Mingtao He, Tianyu Sima

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Source: Crossref

Published: Oct 6, 2025

DOI: 10.3390/math13193197

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Source abstract

The uneven expansion of renewable energy generation in different regions highlights the necessity of accurately assessing the available transfer capability (ATC) in power systems. This paper proposes a distributed probabilistic inter-regional ATC assessment framework. First, a spatiotemporally correlated wind power output model is established using wind speed forecast data and correlation matrices, enhancing the accuracy of wind power forecasting. Second, a two-stage probabilistic ATC assessment optimization model is proposed. The first stage minimizes both generation cost and risk-related costs by incorporating conditional value-at-risk (CVaR), while the second stage maximizes the power transaction amount. Thirdly, a privacy-preserving two-level iterative alternating direction method of multipliers (I-ADMM) algorithm is designed to solve this mixed-integer optimization problem, requiring only the exchange of boundary voltage phase angles between regions. Case studies are performed on the 12-bus, the IEEE 39-bus and the IEEE 118-bus systems to validate the proposed framework. Hence, the proposed framework enables more reliable and risk-aware intraday ATC evaluation for inter-regional power transactions. Moreover, the impacts of risk parameters and wind farm output correlations on ATC and generation cost are further investigated.

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Distributed Privacy-Preserving Stochastic Optimization for Available Transfer Capacity Assessment in Power Grids Considering Wind Power Uncertainty — Mathematical Frontier Network