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Non-ideal Multi-component Dynamic Model of Distillation Tower

Yang Jian, Qian Jixin and Zhou Chunhui (Chemical Engineering Department, Zhejiang University, Hangzhou)   

  • Online:1990-02-25 Published:1990-02-25

非理想多元物系精馏塔动态数学模型

杨健,钱积新,周春晖   

  1. 浙江大学化工系,浙江大学化工系,浙江大学化工系 杭州,现在浙江镇海石油化工总厂炼油厂工作 ,杭州 ,杭州

Abstract: In this paper, a new dynamic distillation model(simulation algorithm) has been derived. Because of the use of linear algebraic equations derived from enthalpy balances to solve for the ascending vapor quantity, and the use of differential equations for all other variables, the divergent problem caused by the iteration of nonlinear equations for the attainment of bubble point or dew point temperatures can be avoided. The large dynamic model of a dehex-anizer of seventy plates and six components(differential equation with an order of more than six hundred) has been calculated successfully by an integration method for solving stiff ordinary differential equations-numerical small parameter method. The conspicuous advantage of the method is no need of Jacobian matrix calculation and its inversion.

摘要: 本文给出了一种新的精馏塔动态仿真模型,该模型除了气相上升量的计算是利用焓平衡关系导出的线性代数方程组进行外,其余变量均通过微分方程计算.这就可以避免以往的模型由于解非线性代数方程组不收敛而带来整个计算失败的问题.文中将一种计算病态常微分方程的积分方法——小参数法在IBM-PC/XT微机上算出一个有70层塔板、6个组分的脱乙烷塔模型(600多维的微分方程).小参数法的最大优点是无需矩阵求逆且不必计算雅可比矩阵.