This article studies the influence of wake models on the efficiency of wind farm design, and then the inability of wake models to accurately predict the energy produced by wind farms in the areas of wake interaction. Indeed, all models used in engineering to simulate interaction effect are analytical models based on simple superposition hypotheses. Those models do not take into account the level of turbulence in these areas and to remedy this phenomenon. A factor in mixing square was injected into the classic interaction model of the energy balance, which is also expressed as a function of the speed squares and which makes it possible to recover the speed during a multiple wake. This factor is expressed by an empirical formula as a function of the average diameters and the distances between turbines. The proposed new model is validated using data from Lillgrund offshore wind farms.So,the achieved results have shown that the proposed approach performs better than the other methods in previous studies.