Systems and methods for AC optimal power flow modeling for unbalanced distribution systems

A system and associated method models behavior of an unbalanced distribution system using a current-voltage (IVACOPF) formulation. Untransposed distribution lines, shunt elements of distribution lines, and detailed representation of distribution transformers and DERs are modeled. The system provides detailed modeling of distribution system including mutual impedances, shunt elements, 3-phase to 1-phase lines. The model has multiple applications for distribution system management, planning, and operation.