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In order to improve the performance of centrifugal fan for Wuyi rock tea shaking machine, the centrifugal fan impeller was optimally designed and experimentally verified by multi-objective genetic algorithm. Firstly, for the 38 groups of design samples, the Latin hypercube design method was used to optimize the number of impeller blades, the inner and outer diameter ratio of the impeller, the inlet mounting angle of the blades, the outlet mounting angle of the blades, the bending radius of the blades, and the inlet diameter of the blades. Then, the constructed least squares regression (LSR) and moving least square method (MLSM) response surface models were solved using the NSGA-Ⅱ multiobjective genetic algorithm, the Pareto solution set for the optimal relationship between fan airflow and fan efficiency can be obtained, and Spearman variable correlation analysis can be conducted. Finally, the effectiveness of the optimized design method in improving the shaking effectiveness of the actual equipment was verified through CFD numerical simulation and experiments. The results showed that the blade inlet mounting angle and outlet mounting angle had the greatest effects on the fan airflow, the impeller inner and outer diameter ratios and the blade outlet mounting angle had the greatest effects on the efficiency of fan, reaching a high degree of correlation.The optimal parameter combinations were as follows: the number of blades was 19, the ratio of the inner and outer diameters of the impeller was 0.67, the installation angle of the blade inlet was 73.86°, the installation angle of the blade outlet was 128.74°, the bending radius was 25.28mm and the blade inlet diameter was 24.95mm. Compared with the prototype fan, the optimized fan air volume was increased by 381.22m3/h, the efficiency of fan was increased by 4.33 percentage points, the average water loss of the stem and leaves increased by 2.05 and 3.15 percentage points, respetively, and the average score of the sensory review of the tea was 91.4 points, which verified that the optimized design of the fan improved the quality of the whole machine for tea shaking.