In the face of extreme events, e.g., hurricanes, the transmission systems, especially the transmission lines, are affected across time and space. To mitigate these impacts on the day-ahead market from a probabilistic perspective, a resilient unit commitment (UC) problem is formulated as a two-stage robust optimization (RO) problem. In the first stage, the status, energy, and reserves of generators are pre-scheduled to minimize the operational cost, responding to the worst line failure scenario in the operating day. The failure, operation status, and repair of transmission lines are depicted by a novel robust uncertainty set with chance constraint considering the repair of failed lines. This chance constraint is reformulated to its deterministic equivalence. Using both load shedding and generation curtailment, a recourse problem is formulated in the second stage considering the time-varying transmission lines operation status. The formulated RO problem is solved using a column-and-constraint generation scheme. Simulations are conducted on IEEE-24 and two-area IEEE reliability test system-1996 under hurricanes and results verify the effectiveness of the proposed method on the conservation of uncertainty set, worst-case line failure scenario detection and repair preparedness.

中文翻译：

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考虑到飓风概率影响的日前市场的弹性单位承诺

面对飓风等极端事件，输电系统，尤其是输电线路，会受到跨越时空的影响。为了从概率的角度减轻这些对日前市场的影响，弹性单位承诺 (UC) 问题被表述为两阶段稳健优化 (RO) 问题。第一阶段，对发电机的状态、能量和储备进行预先调度，以最大限度地降低运营成本，应对运营日最严重的线路故障情况。考虑到故障线路的修复，输电线路的故障、运行状态和修复由具有机会约束的新型鲁棒不确定性集描述。这个机会约束被重新表述为它的确定性等价性。同时使用减载和发电削减，考虑时变传输线运行状态，在第二阶段制定了一个资源问题。使用列和约束生成方案来解决公式化的 RO 问题。在飓风下的 IEEE-24 和两区域 IEEE 可靠性测试系统-1996 上进行了模拟，结果验证了所提出的方法在不确定性集守恒、最坏情况线路故障场景检测和维修准备方面的有效性。