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Distributed generation and remotely controlled switches have emerged asimportant technologies to improve the resiliency of distribution grids againstextreme weather-related disturbances. Therefore it becomes impor- tant to studyhow best to place them on the grid in order to meet a resiliency criteria,while minimizing costs and capturing their dependencies on the associatedcommunication systems that sustains their distributed operations. This paperintroduces the Optimal Resilient Design Problem for Distribution and Communi-cation Systems (ORDPDC) to address this need. The ORDPDC is formulated as atwo-stage stochastic mixed-integer program that captures the physical laws ofdistribution systems, the communication connec- tivity of the smart gridcomponents, and a set of scenarios which specifies which components areaffected by potential disasters. The paper proposes an exact branch-and-pricealgorithm for the ORDPDC which features a strong lower bound and a variety ofacceleration schemes to address degeneracy. The ORDPDC model andbranch-and-price algorithm were evaluated on a variety of test cases withvarying disaster inten- sities and network topologies. The results demonstratethe significant impact of the network topologies on the expansion plans andcosts, as well as the computational benefits of the proposed approach.

Communication-Constrained Expansion Planning for Resilient Distribution Systems