CIESC Journal

• 化工学报 • 上一篇    下一篇

多项式正交配置建立精馏塔简化动态模型

黄克谨,钱积新,孙优贤,周春晖   

  1. 浙江大学工业控制研究所,浙江大学工业控制研究所,浙江大学工业控制研究所,浙江大学工业控制研究所 杭州310027 ,杭州310027 ,杭州310027 ,杭州310027
  • 出版日期:1992-10-25 发布日期:1992-10-25

APPROXIMATE DYNAMIC DISTILLATION MODELLING BY POLYNOMIAL ORTHOGONAL COLLOCATION

Huang Kejin, Qian Jixin, Sun Youxian and Zhou Chunhui (Institute of Industrial Control, Zhejiang University, Hangzhou 310027)   

  • Online:1992-10-25 Published:1992-10-25

摘要: 根据多项式正交配置原理,系统地给出了一种通用的精馏塔简化动态模型.其建模基本原理是将精馏塔的状态变量考虑成塔的轴向距离的连续可微函数,并用多项式近似描述,使得逐板机理模型大为简化,在简化动态模型中,综合考虑了物料及能量平衡、塔板水力学及再沸器动态特性,避免了汽液平衡的迭代计算,节省了计算时间.通过对脱乙烷精馏塔进行仿真,证明了该简化模型可以给出满意的计算精度.

Abstract: Based on the principle of orthogonal collocation, this paper demonstrates systematically a new methodology for developing a reduced-ordermodel of multicomponent distillation column. The basic column state variables, such as vapor and liquid flow rates and compositions, are considered to be continuous variables along the column.They can be approximately represented by polynomials, thus the number of equations required to describe the system is drastically reduced. As for the discontinuity introduced by the feeds and sidestreams, it can be partially eliminated by suitable redefining new variables which can be approximated by polynomials. In the reduced-order model given in this paper, the simultaneous effects of mass and heat transfer, tray hydraulics and reboiler dynamics are taken into account. The computation time is significantly reduced as the iterative calculation for vapor-liquid equilibrium is avoided. Simulation studies are carried out to check the accuracy of the model for a deethanizer, which has 70 plates and three feeds. It is shown that the model agrees with the rigorous one fairly well.