A three-phase optimal power flow applied to the planning of unbalanced distribution networks

This paper models a three-phase optimal power flow applied to distribution networks. The objective function is to minimize electrical losses, the restrictions of which are the maximum and minimum levels of active and reactive power supplied the voltage magnitudes, and taps of voltage regulators with consideration of the mutual impedances of cables. In order to gain numerical stability, the voltage phasor is represented by the rectangular form. The optimization problem is solved by the Interior Points Method version Primal-Dual, whose importance to the planning of distribution networks is tested using the IEEE-123 system bus.