多元精馏塔非平衡级模型与仿真──Ⅰ．模型的建立与求解

A NONEQUILIBRIUM STAGE MODEL OF MULTICOMPONENT DISTILLATION COLUMNS AND SIMULATION ──Ⅰ. Model Description and Method of Solution

从应用的角度，对Ｋｒｉｓｈｎａｍｕｔｈｙ和Ｔａｙｌｏｒ的速率模型进行了改进，给出了一种新的多元精馏塔非平衡级仿真模型。通过引入分离效率函数，巧妙地将模型方程化简为三对角矩阵形式，采用分割法选代求解，并用有界Ｗｅｇｓｔｅｉｎ法加速收敛，具有对初值要求不高，计算量小，收敛稳定等优点。该模型既保持了原速率模型的特点，结构简单，又易于求解，适用于精馏塔的工艺设计和操作分析。

A new nonequilibrium stage simulation model was developed for multicomponent distillation columns on the basis of updating the rate-based model advanced by Krishnamnthy and Taylor.The model equations are torn into tridiagonal matrices by introducing separation efficiency function. A new tearing method is used to solve the model equations and the limited Westein method is adopted to expedite the convergence. Keeping the rate-based model's merits, its loose requirement of initial value, reliable stability of convergence as well as its simple structure and easy solution-seeking are suitable for design and analysis of distillation columns.