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Calculation of Extraction Equilibrium in Multi-Component System by Newton-Raphson Algorithm
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作者 贾江涛 王建方 +3 位作者 严纯华 廖春生 吴声 李标国 《Journal of Rare Earths》 SCIE EI CAS CSCD 1999年第4期246-249,共4页
Based on the extraction equilibrium and mass balances in countercurrent extraction systems, a novel method was studied for dealing with the extraction equilibrium and the mass distribution in a multi-component(gamma-c... Based on the extraction equilibrium and mass balances in countercurrent extraction systems, a novel method was studied for dealing with the extraction equilibrium and the mass distribution in a multi-component(gamma-component) system. The relationships of mass distribution (x(i), y(i), i = 1, ..., lambda) between two phases were expressed by 2 lambda dimensional simultaneous equations. These simultaneous equations can be converted to a one-dimension nonlinear equation, then it was solved by Newton-Raphson algorithm within a few number of iteration. Compared with the regular calculation method for the 2 lambda dimensional simultaneous equations, Newton-Raphson algorithm can decrease the number of iteration, increase the convergence of the equations and accelerate the speed of simulation. It was verified in many multi-component systems with satisfactory results. As an example, a five-component system is demonstrated in this paper. 展开更多
关键词 rare earths multi-component system extraction equilibrium Newton-Raphson algorithm
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Component Content Soft-Sensor Based on Hybrid Models in Countercurrent Rare Earth Extraction Process 被引量:3
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作者 杨辉 王欣 《Journal of Rare Earths》 SCIE EI CAS CSCD 2005年第S1期86-91,共6页
In consideration of the online measurement of the component content in rare earth countercurrent extraction separation process, the soft sensor method based on hybrid modeling was proposed to measure the rare earth co... In consideration of the online measurement of the component content in rare earth countercurrent extraction separation process, the soft sensor method based on hybrid modeling was proposed to measure the rare earth component content. The hybrid models were composed of the extraction equilibrium calculation model and the Radial Basis Function (RBF) Neural Network (NN) error compensation model; the parameters of compensation model were optimized by the hierarchical genetic algorithms (HGA). In addition, application experiment research of this proposed method was carried out in the rare earth separation production process of a corporation. The result shows that this method is effective and can realize online measurement for the component content of rare earth in the countercurrent extraction. 展开更多
关键词 countercurrent extraction soft-sensor equilibrium calculation model RBF neural networks hierarchical genetic algorithms rare earths
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多组分体系单级萃取平衡的Newton-Raphson算法 被引量:1
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作者 贾江涛 王建方 +2 位作者 严纯华 廖春生 李标国 《中国稀土学报》 CAS CSCD 北大核心 1999年第2期102-106,共5页
提出了一种多组分(λ)体系串级萃取动态仿真中的单级萃取平衡和物料平衡计算的新方法。该方法分别导出了有机相萃取量、水相洗涤量和混合萃取比等限制条件下两相组成关系的2λ元非线性方程组,构造以水相(或有机相)中某一组分的平... 提出了一种多组分(λ)体系串级萃取动态仿真中的单级萃取平衡和物料平衡计算的新方法。该方法分别导出了有机相萃取量、水相洗涤量和混合萃取比等限制条件下两相组成关系的2λ元非线性方程组,构造以水相(或有机相)中某一组分的平衡含量为变量的目标函数(一元非线性方程),采用NewtonRaphson迭代法求解,并以萃取平衡和物料平衡关系得到该级其它所有组分在两相的含量。与原采用的“二分法”方程求解相比,该方法具有计算速度快、收敛性好等优点,对允许误差ε<10-7体系的求解迭代次数一般仅为3~6次,可数倍提高运算速度,因而对微机环境下实现萃取体系的动态仿真和自动控制十分有利。 展开更多
关键词 萃取平衡 稀土 多组分体系 单级萃取平衡 NR算法
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多元稀土萃取平衡分配模型研究 被引量:3
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作者 杨辉 柴天佑 《稀土》 EI CAS CSCD 北大核心 2003年第6期20-24,共5页
萃取平衡分配数据是进行萃取流程工艺优化设计及萃取生产过程控制的基本依据。本文提出了一种应用RBF神经网络建立多组分稀土萃取平衡分配数学模型的方法,通过萃取分离生产现场实测数据的建模仿真,验证了该方法的有效性。
关键词 稀土 多组分体系 萃取平衡 分配模型 RBF神经网络
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