Distribution Network Reconfiguration: A Disjunctive Convex Hull Approach

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 DistFlow 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.