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Prediction of RO membrane performances by use of artificial neural network and using the parameters of a complex mathematical model

机译:使用人工神经网络和复杂数学模型的参数预测反渗透膜的性能

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Some mathematical models have properly predicted the RO membrane performances. The equations of these models which were usually complex and time consuming were solved algebraically and numerically. The modified surface force-pore flow model is one of the best models which has predicted the RO membrane performances, for example separation factor (f), pure solvent flux (N P) and total flux (N T), better than the others. In this study, these performances were computed by use of an artificial neural networks technique by applying the parameters of this model and the physical properties of the membrane. A back-propagation feed-forward network with three layers including 9 neurons in the first layer and one neuron in the output layer was used. Minimum error was found with 20 neurons in the second layer, by trial and error. Some experimental data were used for simulating the network. The network was trained in two subsequent steps including feed-forward and error back-propagation. The datasets were randomly divided into three parts: 70 % of them were applied for training, 15 % were used for validating, and the remaining 15 % were applied for testing. The predicted values of the network were compared with experimental data existing for RO membrane performances (f, N P, and N T). A mean square error less than 0.0007 was achieved and a correlation coefficient with more than 0.99 was derived for the test datasets.
机译:一些数学模型已经正确预测了反渗透膜的性能。这些模型通常复杂且耗时的方程是用代数和数值方法求解的。改进的表面力-孔隙流模型是预测RO膜性能的最佳模型之一,例如分离系数(f),纯溶剂通量(N P)和总通量(N T),优于其他模型。在这项研究中,这些性能是通过使用人工神经网络技术,通过应用该模型的参数和膜的物理性能来计算的。使用具有三层的反向传播前馈网络,其中第一层有9个神经元,输出层有一个神经元。通过反复试验,发现第二层中有20个神经元的最小误差。一些实验数据用于模拟网络。在两个后续步骤中对网络进行了培训,包括前馈和错误反向传播。数据集随机分为三部分:70%用于训练,15%用于验证,其余15%用于测试。将网络的预测值与反渗透膜性能(f,N P和N T)的现有实验数据进行比较。测试数据集的均方误差小于0.0007,相关系数大于0.99。

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