A three-phase optimal power flow algorithm to mitigate voltage unbalance

Sumary form only given. 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.