Distributionally Robust Co-Optimization of Power Dispatch and Do-Not-Exceed Limits
Distributionally Robust Co-Optimization of Power Dispatch and Do-Not-Exceed Limits
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DOI：
10.1109/tpwrs.2019.2941635
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发表时间：
2018-08
影响因子：
6.6
通讯作者：
Hongyan Ma;Ruiwei Jiang;Zheng Yan
中科院分区：
文献类型：
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作者：
Hongyan Ma;Ruiwei Jiang;Zheng Yan
为了应对可再生能源不确定性的挑战，ISO新英格兰(ISO-NE)提出了不超过(DNE)限制，这代表了电网可以容纳的最大节点注入可再生能源。不幸的是，要计算出既能保持系统灵活性又能以最低成本并入大部分可用可再生能源的DNE极限似乎具有挑战性。此外，准确估计可再生能源的联合概率分布往往是具有挑战性的。本文提出了一种两阶段分布式稳健优化模型，通过采用仿射可调的功率重调度和可调的联合机会约束来衡量可再生利用率，从而实现了功率分配和DNE限制的联合优化。值得注意的是，该模型允许用商业求解器(例如MOSEK)有效地求解二次二次曲线改写。基于改进的IEEE测试实例进行了实例分析，验证了该方法的有效性，并分析了系统灵活性、可再生利用率和调度成本之间的权衡。
To address the challenge of the renewable energy uncertainty, the ISO New England (ISO-NE) has proposed to apply do-not-exceed (DNE) limits, which represent the maximum nodal injection of renewable energy the grid can accommodate. Unfortunately, it appears challenging to compute DNE limits that simultaneously maintain the system flexibility and incorporate a large portion of the available renewable energy at the minimum cost. In addition, it is often challenging to accurately estimate the joint probability distribution of the renewable energy. In this paper, we propose a two-stage distributionally robust optimization model that co-optimizes the power dispatch and the DNE limits, by adopting an affinely adjustable power redispatch and an adjustable joint chance constraint that measures the renewable utilization. Notably, this model admits a second-order conic reformulation that can be efficiently solved by the commercial solvers (e.g., MOSEK). We conduct case studies based on modified IEEE test instances to demonstrate the effectiveness of the proposed approach and analyze the trade-off among the system flexibility, the renewable utilization, and the dispatch cost.