Community-Based Resilience of Distribution Systems Against Extreme Weather: A Time-Sharing Framework

This paper introduces a time-sharing framework designed to maximize the use of cost-effective reclosers for reconfiguring the topology of power distribution systems, thereby energizing all yielded smaller segments in a rolling manner. The primary goal is to minimize the total installation capital required for distributed energy resources (DERs) to achieve a specified level of community resilience. The problem is formulated as a mixed-integer linear programming (MILP) problem, with the objective of reducing the installation costs of both DERs and reclosers. Given the radial topology of distribution power systems, this NP-hard problem is analytically tackled using two coupled approaches. The first approach presents an algorithm that optimizes the allocation of reclosers based on the power capacity of DERs. The second approach discusses an optimal DER selection algorithm that considers budgetary constraints and the per-unit cost of DERs. The proposed framework's effectiveness is validated through numerical simulations using a modified IEEE 33-bus distribution system. The results demonstrate that the time-sharing framework can enhance resilience during outages while operating within limited community budgets.