A multiphase optimal power flow algorithm for unbalanced distribution systems

This paper describes a new methodology for the optimization of an n-conductor electrical system, in which the phase imbalances, different types of loads, neutral cables, groundings and other inherent characteristics of distribution systems are taken into account. In addition, the methodology is useful for the detailed analysis required for smart grids. A formulation for the optimal power flow of an n-conductor system was developed using a primal-dual interior point method and the n-conductor current injection method in rectangular coordinates. Distribution and transmission systems were analyzed to verify the generality and efficiency of the proposed methodology.