基于集合算法的高纯度精馏塔分段建模方法

doi:10.3969/j.issn.0438-1157.2012.09.006

化工学报 ›› 2012, Vol. 63 ›› Issue (9): 2710-2715.DOI: 10.3969/j.issn.0438-1157.2012.09.006

基于集合算法的高纯度精馏塔分段建模方法

李德新¹, 姜波¹, 任奕丞¹, 祝铃钰¹, 蒋鹏飞², 周立芳²

1. 浙江工业大学化学工程与材料学院, 浙江杭州 310014;
2. 浙江大学控制科学与工程学系, 浙江杭州 310027

收稿日期:2012-06-14 修回日期:2012-06-20 出版日期:2012-09-05 发布日期:2012-09-05
通讯作者: 祝铃钰
作者简介:李德新(1984-),女,硕士研究生。
基金资助:
浙江省自然科学基金项目(Y4100319); 国家自然科学基金项目(60974007)。

Aggregated model high purity distillation column based on group methods

LI Dexin¹, JIANG Bo¹, REN Yicheng¹, ZHU Lingyu¹, JIANG Pengfei², ZHOU Lifang²

1. College of Chemical Engineering and Materials Science, Zhejiang University of Technology, Hangzhou 310014, Zhejiang, China;
2. Department of Control Science and Engineering, Zhejiang University, Hangzhou 310027, Zhejiang, China

Received:2012-06-14 Revised:2012-06-20 Online:2012-09-05 Published:2012-09-05
Supported by:
supported by the Natural Science Foundation of Zhejiang Province(Y4100319)and the National Natural Science Foundation of China(60974007).

摘要/Abstract

摘要： 多级汽液平衡过程的严格模型变量维数高,用于构建优化命题时不易收敛且计算速度较慢。采用集合算法中基于吸收因子和理论塔板数计算全塔段组分回收率的组分分配特征方程代替逐板相平衡,加入物料衡算等基本方程与若干简化关系匹配模型自由度,建立可用于联立计算的逐段降维GM模型。同时根据高纯度精馏塔吸收因子沿塔分布的强非线性特征,提出分段线性拟合求解组分回收率的线性GM模型。以空分装置的粗氩塔为例进行高纯度精馏塔的严格模型、降维GM模型和线性GM模型的对比计算。结果表明,降维GM模型的计算变量由逐板模型的2377个减少到34个,同样平台下收敛时间由6136 s缩短至1 s左右,而关键组分纯度模拟与严格机理模型一致。

关键词: 空分, 高纯度精馏塔, 降维模型, 分段模型

Abstract: Because of the large scale feature of the rigorous model,process optimization on multi-stage columns could be difficult to converge.In this paper,a reduced-order model based on the group method is proposed for high purity distillation columns which correlates the component recoveries with absorption factors and number of theoretical stages.Considering the strongly nonlinear characteristics of absorption factor along the column of high purity distillation column,a piecewise linear fitting method is proposed to obtain the component recoveries.Simulations are conducted under different loads to compare the performance of the reduced-order model and the rigorous model.The results show that the model scale is dramatically decreased from 2377 variables in the rigorous model to 34 variables in the proposed reduced-order model,the convergence time is also greatly reduced from 6136 s to that around 1 s,but the model accuracy is not damaged with very small errors between these two models.

Key words: air separation, high purity distillation column, reduced-order model, aggregated model

中图分类号:

TQ021.8

李德新, 姜波, 任奕丞, 祝铃钰, 蒋鹏飞, 周立芳. 基于集合算法的高纯度精馏塔分段建模方法[J]. 化工学报, 2012, 63(9): 2710-2715.

LI Dexin, JIANG Bo, REN Yicheng, ZHU Lingyu, JIANG Pengfei, ZHOU Lifang. Aggregated model high purity distillation column based on group methods[J]. CIESC Journal, 2012, 63(9): 2710-2715.

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基于集合算法的高纯度精馏塔分段建模方法

Aggregated model high purity distillation column based on group methods

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