Prediction of the crystal's growth rate based on BPNN and rough sets

Xingbo Sun, Xiuhua Tang
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Abstract

Ammonium dihydrogen phosphate(DAP) is widely used in the industry. Usually this product contains impurities and substances and may not satisfy the need of modern agricultural and industrial demand, so we must dip and recrystalize for high quality product. In the process of crystallization, the nucleation rate and the growth rate are the most important parameter, then we study these parameter in order to instruct the technology of crystallization. A liquid fluidized bed crystallizer was used to determine the nucleation rate and the growth rate of ammonium dihydrogen phosphate (ADP) at crystallization temperature 15 and 25 for different saturation temperature solution. The growth rate in a Liquid fluidized bed is decided manly by the supersaturation, cooling temperature, saturation temperature and suspension density. In the paper we build a model predicting the growth rate through these conditions based on Back Propagation (BP) neural network with experimental data as training data. The experimental data, which collected from a Liquid fluidized bed, is preprocessed using the level of consistency in rough sets theory before be using as training sets in modeling process. The simulation results show that the neural network model given in this paper is capable of forecasting the behavior of growth rate exactly and rapidly, and the maximum relative error does not exceed 4.8% as compared with measured values. It also indicates the BP network has prodigious practicability.
基于bp神经网络和粗糙集的晶体生长速率预测
磷酸二氢铵(DAP)在工业上有着广泛的应用。通常这种产品含有杂质和物质,可能不能满足现代农业和工业的需要,所以我们必须浸渍和再结晶才能获得高质量的产品。在结晶过程中,成核速率和生长速率是最重要的参数,对这两个参数进行了研究,以指导结晶工艺。采用液体流化床结晶器测定了不同饱和温度溶液在结晶温度为15和25时磷酸二氢铵的成核速率和生长速率。液体流化床的生长速率主要由过饱和度、冷却温度、饱和温度和悬浮物密度决定。本文以实验数据作为训练数据,建立了基于BP神经网络的预测这些条件下生长速率的模型。实验数据采集自一个液体流化床,使用粗糙集理论中的一致性水平进行预处理,然后作为建模过程中的训练集。仿真结果表明,本文所建立的神经网络模型能够准确、快速地预测增长率的行为,与实测值相比,最大相对误差不超过4.8%。这也说明了BP网络具有极大的实用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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