基于平衡理论的模拟移动床工艺参数鲁棒寻优

doi:10.11949/0438-1157.20211281

摘要/Abstract

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

魏朋, 陈珺, 王志国, 刘飞. 基于平衡理论的模拟移动床工艺参数鲁棒寻优[J]. 化工学报, 2022, 73(2): 792-800.

Peng WEI, Jun CHEN, Zhiguo WANG, Fei LIU. Robust optimization of process parameters of simulated moving bed based on equilibrium theory[J]. CIESC Journal, 2022, 73(2): 792-800.

图/表 11

图1 传统模拟移动床操作示意图

Fig.1 Schematic diagram of conventional SMB operation

图2 有限元上的正交配置

Fig.2 Orthogonal collocation on finite element

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

Fig.3 Different separation regions of the system described by linear adsorption isotherms on the m2-m3 plane

图4 模拟移动床的寻优求解流程图

Fig.4 Flow chart of optimizing solution for simulated moving bed

表1 模拟移动床模型参数及工艺参数

Table 1 Model parameters and process parameters of simulated moving bed

模型参数		工艺参数
柱分布结构	2-2-2-2	A的进料浓度	0.5 g/ml
组分数	2	B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)

Fig.5 Running process of the simulate moving bed

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)

Fig.6 Steady-state concentration distribution of the simulate moving bed

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)

Fig.7 The product purity and recovery rate obtained by running 300 sets of normal distribution values ??(L,ε) generated under the random disturbance action under the initial process parameters

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)

Fig.8 Distribution of the flow ratio corresponding to the sample point (L,ε) on the m2-m3 plane at the initial process parameters

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)

Fig.9 Distribution of the flow ratio corresponding to the sample point (L,ε) on the m2-m3 plane at the robust process parameters

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)

Fig.10 The product purity and recovery rate obtained by running 300 sets of normal distribution values (L,ε) generated under the random disturbance action under the robust process parameters

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