论文标题

交替当前最佳功率流问题的数学编程公式

Mathematical Programming formulations for the Alternating Current Optimal Power Flow problem

论文作者

Bienstock, Daniel, Escobar, Mauro, Gentile, Claudio, Liberti, Leo

论文摘要

功率流是指在电网线上注入功率,因此节点上的所有注射都形成网络中的一致流量。在这种情况下,最佳性通常是作为最小化产生能力成本的最小化。电流可以是直接的或交替的:虽然前者产生了近似线性编程公式,但后者产生了更有趣的形式的公式:即,非convex非线性程序以复杂的数字为单位。在这项技术调查中,我们得出了交替的当前最佳功率流问题的配方变体和放松。

Power flow refers to the injection of power on the lines of an electrical grid, so that all the injections at the nodes form a consistent flow within the network. Optimality, in this setting, is usually intended as the minimization of the cost of generating power. Current can either be direct or alternating: while the former yields approximate linear programming formulations, the latter yields formulations of a much more interesting sort: namely, nonconvex nonlinear programs in complex numbers. In this technical survey, we derive formulation variants and relaxations of the alternating current optimal power flow problem.

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