Fully Distributed Second-Order Cone Programming Model for Expansion in Transmission and Distribution Networks

As the penetration level of distributed energy resources (DERs) is increasing at distribution level, stakeholders are no longer pure consumers and they play a more active role. DERs can be used for transmission needs, technical impacts them may propagate to level. To unlock full benefits transmission-distribution coordination, this article proposes second-order cone programming (SOCP) based expansion model coordinated networks by decomposition parallelization. First, we formulate an SOCP-based subnetwork problem related voltage phase angle variables which valid both networks. Then, fully decision-making framework presented solve iteratively. Taking total power output each as interacting variable, deploy operation optimization substations master subnetworks subproblems in modified iteration algorithm. The feasibility optimality proved numerically verified. Simulation results indicate advantages prevent line congestion, decrease boundary mismatches accommodate DERs.