基于在线Kriging模型的隔板塔优化方法

doi:10.11949/0438-1157.20210961

摘要/Abstract

摘要：

隔板塔是一种新型的精馏节能技术，但其优化设计属于混合整数非线性规划问题，优化求解困难。本文提出在线Kriging代理模型优化方法，将其应用于隔板塔年度总费用优化。与传统离线代理模型相比，本文方法采用少量的隔板塔严格模拟数据点，即可得到优化问题的最优解。计算表明，较传统离线代理模型，本文提出的在线代理模型显示了更高的准确性和有效性，可以克服传统离线代理模型优化耗时、计算量大的缺点。

关键词: 代理模型, Kriging模型, 隔板塔, 计算机模拟, 优化

Abstract:

Divided wall column (DWC) is a new energy-saving distillation technology. However, its optimal design is a mixed integer nonlinear programming (MINLP) problem, and it is difficult to optimize the solution. In this paper, an online Kriging surrogate model-based optimization method is proposed and applied to the total annual cost optimization of DWC. Through the proposed method, the optimal solution of the optimization problem can be obtained by a small number of rigorous simulation data points. The solution of an illustrating example shows that, compared with the traditional offline surrogate model-based optimization method, the proposed method is more advantageous in terms of accuracy and effectiveness, being able to overcome the shortcomings of the traditional offline surrogate based-model optimization, such as time-consuming and large amount of calculation.

Key words: surrogate model, Kriging model, divided wall column, computer simulation, optimization

中图分类号:

TQ 062.2

赵克凡, 贾胜坤, 罗祎青, 袁希钢. 基于在线Kriging模型的隔板塔优化方法[J]. 化工学报, 2022, 73(1): 332-341.

Kefan ZHAO, Shengkun JIA, Yiqing LUO, Xigang YUAN. Optimal design for dividing wall column using online Kriging surrogate model-based optimization method[J]. CIESC Journal, 2022, 73(1): 332-341.

图/表 8

参考文献 34

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参数	值
进料流量/(kmol/h)	300
进料组成(摩尔分数):
苯	0.3333
甲苯	0.3334
对二甲苯	0.3333
进料压力/bar	1
进料温度/K	365.93
物性方法	PR
分离要求：
塔顶苯纯度	≥99%
侧线甲苯纯度	≥99%
塔釜对二甲苯纯度	≥99%

参数	值
进料流量/(kmol/h)	300
进料组成(摩尔分数):
苯	0.3333
甲苯	0.3334
对二甲苯	0.3333
进料压力/bar	1
进料温度/K	365.93
物性方法	PR
分离要求：
塔顶苯纯度	≥99%
侧线甲苯纯度	≥99%
塔釜对二甲苯纯度	≥99%

参数	传统离线代理模型优化		本文在线代理模型优化
参数	预分离塔	主塔	预分离塔	主塔
塔板数	30	63	37	64
进料位置	16	—	19	—
耦合物流连接位置	1,30	17,49	1,37	14,51
侧采位置	—	33	—	32
回流比	—	3.324	—	3.058
回预分离塔液相流量/(kmol/h)	115.996		116.2478
回预分离塔气相流量/(kmol/h)	230.000		240.0216
冷凝器负荷/kW	4732.886		4457.86
再沸器负荷/kW	4710.554		4434.33
真实TAC/(10⁶USD/a)	2.409		2.279
Kriging预测TAC/(10⁶USD/a)	0.941		2.279
Aspen Plus总调用次数	200		200

参数	传统离线代理模型优化		本文在线代理模型优化
参数	预分离塔	主塔	预分离塔	主塔
塔板数	30	63	37	64
进料位置	16	—	19	—
耦合物流连接位置	1,30	17,49	1,37	14,51
侧采位置	—	33	—	32
回流比	—	3.324	—	3.058
回预分离塔液相流量/(kmol/h)	115.996		116.2478
回预分离塔气相流量/(kmol/h)	230.000		240.0216
冷凝器负荷/kW	4732.886		4457.86
再沸器负荷/kW	4710.554		4434.33
真实TAC/(10⁶USD/a)	2.409		2.279
Kriging预测TAC/(10⁶USD/a)	0.941		2.279
Aspen Plus总调用次数	200		200

公用工程	费用/(USD/GJ)
冷却水(25~30℃)	0.354
低压蒸汽(5 bar, 160℃)	13.28
中压蒸汽(10 bar, 184℃)	14.19
高压蒸汽(41 bar, 254℃)	17.7
电(110~440 V)	16.8