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There are many uncertain factors for electricity consumption with the characteristic of obvious changing tendency. The traditional grey model has been widely used in the field of forecasting systems. However, many results have shown that the model is biased. On the basis of the biased model, this paper introduces a new grey feed-back modification model, LGM(1.1), for long-term forecasting. Using this model, The trial forecasting precision of electric power load in certain region of Hebei province is improved.