Abstract
Unbalanced feeders produce problems and risky situations since they can trip protection devices, reduce the efficiency and damage some appliances. Therefore achieve the balance of the networks will mean an improvement of the electric service and reduction expenses. The proposed program is a tool for balancing the electric networks; swapping loads among phases of the main lines, to assure that the loads average among the phases of the main lines not do not in large magnitudes. It is assumed that all loads have the same power factor and voltage drops are not considered. As a fundamental contribution of this work, an additional restriction is added to the mathematical model that avoids the introduction of additional phases.