A Constraint Violation Quantification-Based Pre-Evaluation Method for Load Transfer in Distribution System Reinforcement Planning

This paper proposes an optimization-based method to pre-evaluate load transfer feasibility in distribution networks under line outage conditions. Unlike conventional studies that focus on post-fault restoration assuming feasible load transfer, the proposed approach assesses the feasibility itself while quantitatively identifying operational constraint violations. A mixed-integer linear programming model is formulated by incorporating slack variables to represent voltage and line current constraint violations, enabling systematic classification of infeasible scenarios. To improve computational efficiency, nonlinear power flow constraints are approximated using a polyhedral formulation. The proposed method is applied to the IEEE 94-bus distribution test system under all single-line outage scenarios, and the results confirm that the approach effectively distinguishes feasible, constraint-violating, and structurally infeasible load transfer cases, providing useful insights for distribution network planning.