Distribution Network Reconfiguration: A Disjunctive Convex Hull Approach
Chao Lei, Siqi Bu, Jun Zhong, Qifan Chen, Qianggang Wang
Abstract
This letter theoretically reformulates the distribution network reconfiguration (DNR) model using the disjunctive convex hull approach. Continuous parent-child relationship variables in spanning tree constraints can be regarded as disjunctive variables to represent disjunctive convex hull of <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><b>DistFlow</b></i> equations. This disjunctive convex hull relaxation (DCHR) is a tighter relaxation than the existing relaxation techniques for DNR problems, such as the Big-M and McCormick linearization methods. Case studies also demonstrate that the DCHR's computing performance is superior to the prior relaxation methods.