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According to the analysis of the network topological structure, an improved backward/forward sweep algorithm was proposed. The algorithm can be applied for weakly meshed distribution systems with distributed generation (DG). The method developed an incidence matrixbranch current-bus current injection matrix. A meshed network was converted to a radial network by breaking the loops at the ending nodes of link branches. The mathematical models of DG were established as PV and PQ node. For PV nodes, this paper used a dummy node and dummy branch which inject reactive power to the specified node to maintain the specified voltage value. IEEE 33-bus test feeder was used to verify the correctness and convergence of the proposed algorithm. Moreover, the impact of both weakly meshed and DG on voltage profile and convergence was also investigated.