Convex Restriction of Power Flow Feasibility Sets
Convex Restriction of Power Flow Feasibility Sets
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DOI：
10.1109/tcns.2019.2930896
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发表时间：
2018-03
影响因子：
4.2
通讯作者：
Dongchan Lee;H. Nguyen;Krishnamurthy Dvijotham;K. Turitsyn
中科院分区：
文献类型：
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作者：
Dongchan Lee;H. Nguyen;Krishnamurthy Dvijotham;K. Turitsyn
潮流可行性集的凸约束是指潮流方程解保证存在并满足运行约束的动力注入凸子集。与凸松弛相反，凸约束为发电量和需求变化下潮流的可行性提供了充分条件。本文给出了构造由等式和不等式约束定义的代数集的凸约束的一般框架，并将该框架应用于潮流可行性问题。该过程产生凸二次约束，为网格的实际操作提供了足够大的区域。
The convex restriction of power flow feasibility sets identifies the convex subset of power injections where a solution for power flow equations is guaranteed to exist and satisfy the operational constraints. In contrast to convex relaxations, the convex restriction provides a sufficient condition for power flow feasibility under variations in power generation and demand. In this article, we present a general framework to construct convex restrictions of an algebraic set defined by equality and inequality constraints and apply this framework to the power flow feasibility problem. The procedure results in convex quadratic constraints that provide a sufficiently large region for practical operation of the grid.