用多元数据分析方法检测铜电积过程中的电流无效率

Kirill Filianin, S. Reinikainen, T. Sainio
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摘要

为了进一步推进现有的实验室研究,基于从传统电积电路获得的实际工业过程历史数据,评估了不同工艺参数对电流效率的影响。采用偏最小二乘法下的多变量标定模型预测工艺中的电流效率。根据电解液中铜和铁的浓度以及施加的总电流建立了基本模型。采用参数的两两交互作用和移动平均技术提高了标定的预测能力。然而,基于整个数据集的模型构建似乎是不可靠的,因为目标变量的无法解释的方差很大,因为传感器数据是每日平均的。通过聚类分析和进一步的蒙特卡罗模拟,电流无效率导致电流效率预测变化的现象具有随机性,即每日平均给多变量模型带来随机变化。因此,对数据集进行多元过程控制图分析,以揭示预测控制的最重要样本。多元校正模型使用58个样本,而原始数据集包含214个观测值。利用该模型,可以基于过程传感器数据在线预测电流效率值。为了有效地监测电积过程,并根据电流效率预测值与实测值的直接比较,提出了多变量过程控制工具。
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Detection of current inefficiencies in copper electrowinning with multivariate data analysis
To further advance existing laboratory studies, the influence of different process parameters onto current efficiency was evaluated based on real industrial process history data obtained from conventional electrowinning circuit. Multivariate calibration model under partial least squares algorithm was applied to predict current efficiency in the process. The basic model was developed using values of electrolyte cupric and ferric concentrations, and total current applied. Pairwise interaction of parameters and moving average technique were applied to improve the prediction ability of the calibration. However, model construction based on the entire data set appeared to be unreliable due to high unexplained variance in the target variable, as sensor data were daily averaged. According to cluster analysis and further Monte-Carlo simulation, the phenomena of current inefficiency causing variation in the prediction of current efficiency appeared to be of random nature, i.e. daily averaging brought random variation to the multivariate model. For this reason, the data set was analyzed with multivariate process control charts to reveal the most important samples for predictive control. Multivariate calibration model was obtained using 58 samples, while the original data set contained 214 observations. Using the model, current efficiency values can be predicted on-line based on process sensor data. Multivariate process control tool was proposed in order to effectively monitor electrowinning process and detect current inefficiencies based on direct comparison of predicted and measured values of current efficiency.
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