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Interconnection of Distributed Generation (DG) using renewable resources to the distribution networks in on the rise. Distribution grids having DG interconnections at higher penetration levels are challenged for more accurate monitoring and controls. In this paper a novel approach and a theoretical formulation of state estimation is proposed for distribution grids with Renewable Energy Sources (RES). The recommended formulation pertains to an optimization algorithm with variable weighting factor for a more precise estimation of the system states. The formulation can serve as as a general framework for a self-adapting dynamic estimator for improved states forecasting and thus preventive control of the distribution grid. Precisely estimated system states can also serve beneficial in; optimal scheduling, security assessment, and real time transactions.