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To optimize the placement of wind turbines using a genetic algorithm for the fixed size of wind farm, the appropriate computational grids are the basis of the succeeding work. The optimized scheme was tightly restricted by the rationality and accuracy of computational grids. In this paper, based on the consideration of actual wind and wake characteristics of wind turbines, the (a) shape of the grids, (b) arranging the direction of the grids, and (c) the density of the grids were introduced to study the effect of computation grids on the optimization results. Furthermore, the grids' division method in the scheme's optimization of wind turbines placement under different conditions was discussed to increase the power capacity of the wind farm to obtain the maximum benefit of the investment.