Research On Power Modeling And Calculation Of Large Scale Ball Mill

The ball mill is an important machine to refine the solid material into powder which is widely used in metal and non-metallic mineral concentration plant, metallurgy, chemical, cement, ceramic, construction, electric power, medicine and national defense industry, especially in the department of mineral processing in metallurgy industry, the operation of the ball mill plays a very important role. With the mass development and utilization of mineral resources of domestic and international, the quantity of the solid material that need to be refined is increasing, which makes the ball mill developing towards large dimension. The floor space and the power of the grinding equipment increase along with the size of the ball mill increasing, therefore, to choose the right type and reduce the floor apace of the ball mill, save energy and improve the economy of the construction of the dressing plant, the precise calculation of the ball mill is of great significance. However, the choose of the electrical machine of the ball mill at present mainly relies on experience, which makes the power of the selected machine higher than needed, and with the development of ball enlargement, the problem has become increasingly prominent.The classic theory of the movement of the grinding media and the traditional theory algorithm of the available power of the ball mill are summarized in this paper, and based on the fault analysis of the theory, new hypothesis that all the media are bulk solid is built, The model on different particle trajectories of the fall and avalanche motion state of the ball mill is simplified to derive the new method to calculate the available power of the ball mill in consideration with the diameter and arrangement of the grinding balls. The MATLAB simulated analysis is used to analyze the effect on available power of the diameter and arrangement of the grinding balls, and then the newly proposed available power models of fall and avalanche ball mill are simplified to get a simpler available power model of the ball mill is obtained. The analysis of the MQY-5585×8500 ball mill reveals that the results calculated by the avalanche available power models proposed in this paper on high filling ratio and low speed ratio are smaller than the results calculated by the Bond empirical formula and traditional avalanche available power formula, the results calculated by the fall available power models are smaller than the results calculated by some traditional available power formula, which shows the models in this paper is good to decrease the installation power of the large scale ball mill and the right selection of the ball mill can be achieved.