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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ＮｅｗｔｏｎＲａｐｈｓｏｎ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。文中还通过１个五组分体系的单级平衡计算实例对该方法加以说明
A new method of single-stage extraction equilibrium and material balance calculation in multi-component (λ) system cascade extraction dynamic simulation is proposed. This method derives the 2λ nonlinear equations of the relationship between the two phase composition under the conditions of the amount of extraction of organic phase, the amount of water phase washing and the mixed extraction ratio. The equilibrium of a component in the aqueous phase (or organic phase) The objective function (univariate nonlinear equation) whose content is variable is solved by the Newton-Raphson iteration method. The content of all other components in the two phases is obtained by the relationship between extraction equilibrium and material balance. Compared with the original “dichotomy” equation, the proposed method has the advantages of fast calculation speed and good convergence. The iteration times of the system with error ε <10-7 are generally only 3 to 6 times and can be several times Improve the operation speed, so it is very beneficial to realize the dynamic simulation and automatic control of the extraction system in the computer environment. The method is also illustrated by a single-level equilibrium calculation example of a five-component system