Efficient representations of radiality constraints in optimization of islanding and de-energization in distribution grids
Efficient representations of radiality constraints in optimization of islanding and de-energization in distribution grids
复制标题
配电网孤岛和断电优化中径向约束的有效表示
DOI：
10.1016/j.epsr.2022.108578
复制
发表时间：
2022
影响因子：
3.9
通讯作者：
Roald, Line
中科院分区：
文献类型：
--
作者：
Gorka, Joe;Roald, Line
由于要求配电系统呈放射状运行，使得配电系统拓扑结构的优化变得复杂。在这篇文章中，我们讨论了实施径向约束的现有方法，并引入了两种新的公式，使得能够在部分带电或孤岛的网络拓扑上进行优化。第一种方法建立在使用所谓的父子约束的方法上，但将这些约束强加在抽象的网络上，从而实现了变量和约束明显较少的等价公式。第二种方法建立在直接生成不允许循环的约束的现有方法的基础上，并通过迭代方法寻求限制必须强制实施的这些约束的数量。这两种新的径向约束方法以及两种现有的方法被合并到其他相同的OPF公式中，该公式对最优停电问题进行建模，其中利用部分带电的网络配置的效用来降低野火风险。通过在一条中型配电网馈线上的测试表明，这两种方法的速度明显快于现有方法，并可靠地获得了最优解。
Optimization of power distribution system topology is complicated by the requirement that the system be operated in a radial configuration. In this paper, we discuss existing methods for enforcing radiality constraints and introduce two new formulations that enable optimization over partially energized or islanded network topologies. The first builds on methods that use so-called parent–child constraints, but enforces those constraints on an abstracted network which enables an equivalent formulation with significantly less variables and constraints. The second formulation builds on existing approaches which directly generate constraints disallowing loops, and through an iterative approach seeks to limit the number of these constraints which must be enforced. These two new radiality constraint methods as well as two existing approaches are incorporated in otherwise identical OPF formulations which model an optimal power shut-off problem, where the utility of partially energized network configurations is harnessed to mitigate wildfire risk. Through tests on a medium-sized distribution feeder, we show that the two proposed approaches are significantly faster than existing methods and reliably obtain optimal solutions.