A reduced order rate based model for distillation in packed columns: Dynamic simulation and the differentiation index problem

被引:9
|
作者
Bonilla, J. [1 ,2 ]
Logist, F. [1 ]
Degreve, J. [1 ]
De Moor, B. [2 ]
Van Impe, J. [1 ]
机构
[1] Katholieke Univ Leuven, Dept Chem Engn CIT BioTEC, B-3001 Louvain, Belgium
[2] Katholieke Univ Leuven, Dept Elect Engn ESAT SCD, B-3001 Louvain, Belgium
关键词
Distillation; Mathematical modeling; Model reduction; Dynamic simulation; Structure exploitation; High-index DAE; ALGEBRAIC EQUATIONS; EQUILIBRIUM; SYSTEMS;
D O I
10.1016/j.ces.2011.09.051
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
This paper presents a rigorous dynamic rate based model suitable for simulation of distillation of mixtures in packed columns. The model equations are described in detail considering structure exploitation at simulation level in order to alleviate the large number of states involved in the model description. Moreover, this kind of model may leads to differential-algebraic equations with a differentiation index higher than one. Here this issue is analyzed and a differentiation-index reduction procedure based on the incidence of model states in the Jacobian and the properties of the model dynamics is proposed. This procedure allows for a simplified index-1 model with a reduced stiffness so that dynamic simulation can be performed with off-the-shelf solvers. (C) 2011 Published by Elsevier Ltd.
引用
收藏
页码:401 / 412
页数:12
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