A Three-Phase Optimal Power-Flow Algorithm to Mitigate Voltage Unbalance

This paper describes a new methodology for three-phase electrical system optimization, in which the phase unbalances are to be taken into account. A formulation for the three-phase optimal power-flow solution was developed using the primal-dual interior point method and the three-phase current injection method in rectangular coordinates. The Hessian matrix has a 6 × 6 blocked structure, where most of the elements are constant or equal to zero during the solution process. This characteristic brings computational efficiency when applied to three-phase systems.