A Risk-Averse Data-Driven Distributionally Robust Optimization Method for Transmission Power Systems Under Uncertainty

Mehrdad Ghahramani, Daryoush Habibi () and Asma Aziz
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Mehrdad Ghahramani: School of Engineering, Edith Cowan University, Joondalup, WA 6027, Australia
Daryoush Habibi: School of Engineering, Edith Cowan University, Joondalup, WA 6027, Australia
Asma Aziz: School of Engineering, Edith Cowan University, Joondalup, WA 6027, Australia

Energies, 2025, vol. 18, issue 19, 1-29

Abstract: The increasing penetration of renewable energy sources and the consequent rise in forecast uncertainty have underscored the need for robust operational strategies in transmission power systems. This paper introduces a risk-averse, data-driven distributionally robust optimization framework that integrates unit commitment and power flow constraints to enhance both reliability and operational security. Leveraging advanced forecasting techniques implemented via gradient boosting and enriched with cyclical and lag-based time features, the proposed methodology forecasts renewable generation and demand profiles. Uncertainty is quantified through a quantile-based analysis of forecasting residuals, which forms the basis for constructing data-driven ambiguity sets using Wasserstein balls. The framework incorporates comprehensive network constraints, power flow equations, unit commitment dynamics, and battery storage operational constraints, thereby capturing the intricacies of modern transmission systems. A worst-case net demand and renewable generation scenario is computed to further bolster the system’s risk-averse characteristics. The proposed method demonstrates the integration of data preprocessing, forecasting model training, uncertainty quantification, and robust optimization in a unified environment. Simulation results on a representative IEEE 24-bus network reveal that the proposed method effectively balances economic efficiency with risk mitigation, ensuring reliable operation under adverse conditions. This work contributes a novel, integrated approach to enhance the reliability of transmission power systems in the face of increasing uncertainty.

Keywords: data-driven optimization; distributionally robust optimization; optimal power flow; renewable energy sources; transmission system (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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