基于变量聚合的抽水蓄能模型在日前机组组合问题中的建模方法
Variable aggregation-based formulations for pumped storage hydro model in the day-ahead unit commitment problem
AI总结：
针对抽水蓄能电站多机组共享水库导致的对称结构问题，提出两种基于变量聚合的新公式，有效打破对称性，提升混合整数规划求解效率。
摘要：
抽水蓄能（PSH）电站能够提高电力系统的灵活性。在将抽水蓄能机组纳入日前机组组合模型时，设计良好的抽水蓄能模型公式至关重要。文献中，抽水蓄能模型的公式通常基于单个抽水蓄能机组。当水库中只有一个抽水蓄能机组时，该公式是紧致的。然而，当抽水蓄能电站中有多个机组共享同一水库时，现有公式可能会引入一些对称结构，这会显著降低混合整数规划求解器的效率。本文针对具有多个机组的抽水蓄能电站中的对称结构，提出了两种新的公式。第一种公式考虑多个相同机组共享同一水库的情况。第二种公式考虑一般情况，即共享同一水库的机组具有相同的发电和抽水效率。使用新公式，可以有效打破问题中的对称结构。文中给出了数值结果，以研究新公式的计算效率。
英文摘要：
Pumped storage hydro (PSH) plants can improve the flexibility of power systems. A well-designed formulation for a PSH model is essential when incorporating the PSH units into a day-ahead unit commitment model. In the literature, the formulation of a PSH model is generally based on the individual PSH unit. This formulation is tight if there is only one PSH unit in the reservoir. However, when there are multiple units sharing the same reservoir in a PSH plant, the existing formulation may introduce some symmetric structures which degrade the efficiency of a mixed-integer programming solver significantly. In this paper, to cope with the symmetric structure in the PSH plants that have multiple units, we propose two new formulations. The first formulation considers the case in which there are multiple identical units sharing the same reservoir. The second formulation considers a general case in which the units sharing the same reservoir have the same generating and pumping efficiency. Using the new formulations, the symmetric structures in the problem can be effectively broken. Numerical results are presented to study the computational efficiency of the new formulations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
