Robust stability-constrained optimization for load restoration with uncertain dynamic loads

Dunjian Xie, Yan Xu, Sivakumar Nadarajan, Vaiyapuri Viswanathan and Amit Kumar Gupta

Applied Energy, 2025, vol. 395, issue C, No S0306261925008001

Abstract: This paper proposes a robust optimization method for stability-constrained load restoration of a post-event power system considering uncertain dynamic loads. The loads are modeled by a composite of both static and dynamic components with uncertain compositions. A robust optimization model is formulated to maximize the total restored load while ensuring system stability under the worst-case realization of load composition. The resulting restoration strategy satisfies both stability constraints—including transient frequency and voltage limits—and static security constraints such as line flow and bus voltage bounds for all admissible uncertainty scenarios. To efficiently solve the resulting robust optimization problem, an efficient iterative solution method is developed based on trajectory sensitivity analysis and the Column-and-Constraint Generation (C&CG) algorithm. The effectiveness of the proposed method is demonstrated through numerical studies on the modified IEEE 39-bus New England test system.

Keywords: Resilience; Load restoration; Cold load pickup; Frequency stability; Voltage stability; Robust optimization (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.apenergy.2025.126070

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