In this paper, an optimization problem is formulated with the main purpose of determining the maximum hosting capacity of distributed generation in three-phase electric power distribution systems. The objective function to be maximized is the sum of the active powers injected into the system buses in which distributed generation is considered. Inequality constraints are used to determine lower and upper bounds for voltage magnitudes, unbalance factor, reverse power flow at the substation bus

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... active power insertion. Power flow equations are modelled as equality constraints according to the three-phase current injection method. Simulations are performed using a modified IEEE 33-bus to show the effectiveness of the proposed methodology for determining the maximum hosting capacity in three-phase distribution feeders assuming dispersed generation previously allocated in the network. An index is proposed to calculate the maximum hosting capacity based on the response of the optimization problem. Additionally, daily load profiles are considered to test the proposed methodology assuming system load variation. The main contribution of this paper is the optimization model which assumes bounds for reverse power flow and unbalance factor in a systemic analysis based on the three-phase current injection method equations (TPCIM).