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Various methods for load balancing and power factor correction in three-wire and four-wire networks have been presented so far. In this paper, a new formulation has been developed such that the admittance of the compensator can be calculated to balance any loads irrespective of their nature (being resistive or reactive) and to obtain the requested power factor. During the process of power factor correction, the current is always balanced and therefore in addition to the reduction of power wasting, it is possible to operate with optimum power factor. In the developed equations the parameters of the compensator are presented in terms of both the load admittance and instantaneous voltage and current values. The extended equations are general and can be applied to any load in three or four-wire distribution systems. Simulation results show the validity of the developed formulation.