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In this paper, the validity of the present extreme values deterministic methods for evaluating the possible installed capacities of distributed generations (DGs) interconnected with a smart grid is reviewed. First, the definitions and the related standards of power quality are introduced. Second, the present extreme values deterministic methods to evaluate the steady-state voltage deviations caused by DGs interconnection with a smart grid are presented. Third, the impedance-sensitive and current-sensitive factors affecting the steady-state voltage deviations on smart grids are presented. Forth, the exhaustive search algorithm is proposed to find the all possible combinations of bus loads, power productions of DGs and system topologies within the given ranges of system parameters. Finally, the validity of the present extreme values deterministic methods is diagnosed.