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The construction of Smart Grid will comprehensively enhance the intelligent level of every step in the power grid of our country. The data forecasting ability determines the quality of smart grid. As a result of this, this paper constructs the background value of grey GM (1, 1) model by using threepoint Gaussian quadrature formula, improves its accuracy and the data quality. It indicates that reconstruction of the background value is the key factor affecting prediction accuracy and applicability.