【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。更多还原

【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.更多还原