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基于2种破碎模型的塔磨有用能耗预测及对比试验研究

Prediction and Comparative Experimental Study on Useful Energy Consumption of Tower Mill Based on Two Crushing Models

  • 摘要: 为建立塔磨机磨矿可磨性的评价方法并实现其比能耗的有效预测,本文以鞍山式磁铁矿为研究对象,基于改进的哈氏可磨度试验,提出了一种表征塔磨机磨矿性能的试验方法。将-3 mm和-1 mm这2个粒度级别的样品各分为4个窄粒级,采用哈氏可磨度仪进行磨矿试验,以不同转数表征不同输入能耗,分别基于A×b破碎模型和fmat破碎模型构建各窄粒级磨矿产品t4与比能耗之间的数学模型,拟合得到2种给矿粒度下的破碎模型参数,并通过实验室塔磨机磨矿试验对预测结果进行验证。结果表明:采用A×b模型拟合时,-3 mm和-1 mm给料的A×b值分别为16.72和11.53;采用fmat模型拟合时,对应的矿石硬度指数SMi分别为4.78和3.88,表明给矿粒度越细,其剪切可磨性越低。基于fmat模型获得的SMi值预测塔磨机理论有用比能耗,其与实际最大比能耗的决定系数R2达0.98。该方法可有效评价物料在塔磨机中的可磨性,并为塔磨机有用能耗的预测提供可靠依据。

     

    Abstract: To establish an evaluation method for the grindability of tower mills and enable effective prediction of their specific energy consumption,this study took an Anshan-type magnetite ore as the research object and,based on a modified Hardgrove grindability test,proposed a test method for characterizing the grinding performance of tower mills. Samples of two size fractions,-3 mm and-1 mm,were each divided into four narrow size fractions and ground using a Hardgrove grindability tester,with different rotation numbers representing different input energy levels. Mathematical models relating the grinding product t4 to specific energy consumption for each narrow size fraction were constructed based on the A×b breakage model and the fmat breakage model,respectively,and the model parameters under the two feed sizes were fitted. The prediction results were then verified through laboratory tower mill grinding tests. The results show that when fitted with the A×b model,the A×b values for the-3 mm and-1 mm feeds are 16. 72 and 11. 53,respectively;When fitted with the fmat model,the corresponding ore hardness indices SMi are 4. 78 and 3. 88,indicating that the finer the feed size,the lower the shear grindability. The SMi values obtained from the fmat model were used to predict the theoretical specific energy consumption of the tower mill,and the coefficient of determination R2 between the predicted and actual maximum specific energy consumption reached 0. 98. This method can effectively evaluate the grindability of materials in tower mills and provide a reliable basis for predicting the useful specific energy consumption of tower mills.

     

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