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用多参数状态方程求解汽液平衡的数值方法
引用本文:汤定国. 用多参数状态方程求解汽液平衡的数值方法[J]. 中国石油大学学报(自然科学版), 1987, 0(3)
作者姓名:汤定国
作者单位:华东石油学院化工热力学教研室
摘    要:本文以BWR 方程为例,建立了用多参数状态方程计算汽液平衡的非线性方程组,讨论了Newton-Raphson 法解该非线性方程组的收敛性,提出了将非线性方程组构造成适应最优化方法的目标函数。用不求导数的单纯形搜索法求解BWR状态方程所表达的汽液平衡,可以有效地解决多极值问题引起的困难。

关 键 词:汽液平衡  非线性方程  数值分析  状态方程  最优化方法

NUMERICAL METHOD IN SOLVING EQUATION OF STATE FOR VAPOR LIQUID EQUILIBRIUM
Tang Dingguo. NUMERICAL METHOD IN SOLVING EQUATION OF STATE FOR VAPOR LIQUID EQUILIBRIUM[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1987, 0(3)
Authors:Tang Dingguo
Affiliation:Tang Dingguo
Abstract:Nonlinear coupled equations were established to calculate vapor-liquid equilibrium of some hydrocarbon by means of BWR equation. The convergence of Newton-Raphson method to solve the nonlinear equations was discussed. In order to solve the difficulty out of multi-extreme values, it is suggested that a objective function which is suitable for optimization be set-up from the nonlinear equations.With the aid of simplex seek rather than derivative method, the vapor-liquid equilibrium expressed by the objective function will be consequently solved.
Keywords:Vapor liquid equilibrium  Non-linear equations  Numerical analysis  Equation of states  Optimization methods
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