With gray prediction method, this paper concludes the primary energy consumption in future based on the trend of historical data of energy consumption. Gray dynamic analysis method is used to sort the correlation between each primary energy consumption and GDP, GDP as the reference data series and primary energy consumption as the comparison one over the years. Referred to the correlation, the national energy development plans and the carbon emissions intensity, adjustment of energy structure should be focused on reducing coal consumption and enhancing the substitution of power. Considering the sensitivity of energy consumption on the economy, this paper predicts the primary energy structure and power structure under the constraints of saving energy and carbon emissions.