化工学报 ›› 2022, Vol. 73 ›› Issue (2): 792-800.doi: 10.11949/0438-1157.20211281

• 过程系统工程 • 上一篇    下一篇

基于平衡理论的模拟移动床工艺参数鲁棒寻优

魏朋(),陈珺(),王志国,刘飞   

  1. 江南大学轻工过程先进控制教育部重点实验室，江苏 无锡 214122
  • 收稿日期:2021-09-03 修回日期:2021-10-30 出版日期:2022-02-05 发布日期:2022-02-18
  • 通讯作者: 陈珺 E-mail:6191913036@stu.jiangnan.edu.cn;chenjun1860@126.com
  • 作者简介:魏朋（1995—），男，硕士研究生，6191913036@stu.jiangnan.edu.cn
  • 基金资助:
    江苏省自然科学基金项目(61773183)

Robust optimization of process parameters of simulated moving bed based on equilibrium theory

Peng WEI(),Jun CHEN(),Zhiguo WANG,Fei LIU   

  1. Key Laboratory of Advanced Control for Light Industry Process of the Ministry of Education, Jiangnan University, Wuxi 214122, Jiangsu, China
  • Received:2021-09-03 Revised:2021-10-30 Published:2022-02-05 Online:2022-02-18
  • Contact: Jun CHEN E-mail:6191913036@stu.jiangnan.edu.cn;chenjun1860@126.com

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摘要：

在模拟移动床的实际工作过程中，由于进料浓度和温度变化以及色谱柱填充不一致等因素影响，初始工艺参数作业下的分离性能可能会出现下降。首先对模拟移动床的机理模型进行了分析；然后在色谱分离平衡理论的基础上，使用有限元正交配置法求解模型得到新的工艺参数点；最后以果葡糖浆组分分离为对象，使用所提方法求解有扰动作用时的优化工艺参数，结果显示果糖纯度的合格率从81%提高到99%，证明其具有良好的鲁棒性。

关键词: 模拟移动床, 色谱, 分离, 有限元正交配置法, 平衡理论, 鲁棒, 优化设计

Abstract:

In the actual working process of the simulated moving bed, due to the influence of factors such as the feed concentration and temperature change and the inconsistent packing of the chromatographic column, the separation performance under the operation of the initial process parameters may be reduced. The paper first analyzed the mechanism model of the simulated moving bed. Then based on the equilibrium theory of chromatographic separation, a new process parameters point is obtained by using the orthogonal collocation on finite elements method. Finally, taking the separation of fructose syrup as the object, the optimized process parameters under disturbed operation were obtained by the proposed method. The results show that the pass rate of fructose purity increased from 81% to 99%, which proved that the method has good robustness.

Key words: simulated moving bed, chromatography, separation, orthogonal collocation on finite elements, equilibrium theory, robust, optimal design

中图分类号: 

  • TQ 028.8

图1

传统模拟移动床操作示意图"

图2

有限元上的正交配置"

图3

线性吸附等温线描述的系统在m2-m3平面上的不同分离区域"

图4

模拟移动床的寻优求解流程图"

表1

模拟移动床模型参数及工艺参数"

模型参数工艺参数
柱分布结构2-2-2-2A的进料浓度0.5 g/ml
组分数2B的进料浓度0.5 g/ml
柱长53.6 cm进料液流量0.0200 ml/s
柱直径2.6 cm洗脱液流量0.0414 ml/s
空隙率0.38提取液流量0.0348 ml/s
轴向扩散系数0.0381 cm2/s提余液流量0.0266 ml/s
A的Henry系数0.54循环液流量0.0981 ml/s
B的Henry系数0.28切换时间1552 s

图5

模拟移动床的运行过程(各子图均为每个运行周期末尾时刻的浓度分布)"

图6

模拟移动床的稳态浓度分布(稳态下每个切换周期末尾时刻的浓度分布)"

图7

随机扰动作用下生成的300组正态分布值(L,ε)运行在初始工艺参数下得到的产品纯度和回收率(图(a)和(b)中的蓝点代表各自的性能达标，红点代表未达标；图(c)中的红点代表模型参数的原始值，蓝点代表正态分布值)"

图8

初始工艺参数下样本点(L,ε)对应的流量比在m2-m3平面上的分布(红点代表落在了完全分离区域的外面，蓝点代表落在了完全分离区域的里面)"

图9

鲁棒工艺参数下样本点(L,ε)对应的流量比在m2-m3平面上的分布(红点代表落在了完全分离区域的外面，蓝点代表落在了完全分离区域的里面)"

图10

随机扰动作用下生成的300组正态分布值(L,ε)运行在鲁棒工艺参数下得到的产品纯度和回收率(图(a)和(b)中的蓝点代表各自的性能达标，红点代表未达标；图(c)中的红点代表模型参数的原始值，蓝点代表正态分布值)"

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