化工学报 ›› 2022, Vol. 73 ›› Issue (1): 332-341.DOI: 10.11949/0438-1157.20210961

• 过程系统工程 • 上一篇    下一篇

基于在线Kriging模型的隔板塔优化方法

赵克凡1,2(),贾胜坤1,2(),罗祎青1,2,袁希钢1,2,3()   

  1. 1.天津大学化工学院,天津 300350
    2.天津大学化学工程研究所,天津 300350
    3.化学工程联合国家重点实验室,天津 300350
  • 收稿日期:2021-07-11 修回日期:2021-09-16 出版日期:2022-01-05 发布日期:2022-01-18
  • 通讯作者: 贾胜坤,袁希钢
  • 作者简介:赵克凡(1997—),男,硕士研究生,zhaokf@tju.edu.cn
  • 基金资助:
    国家自然科学基金项目(91834303)

Optimal design for dividing wall column using online Kriging surrogate model-based optimization method

Kefan ZHAO1,2(),Shengkun JIA1,2(),Yiqing LUO1,2,Xigang YUAN1,2,3()   

  1. 1.School of Chemical Engineering and Technology, Tianjin University, Tianjin 300350, China
    2.Institute of Chemical Engineering, Tianjin University, Tianjin 300350, China
    3.State Key Laboratory of Chemical Engineering, Tianjin University, Tianjin 300350, China
  • Received:2021-07-11 Revised:2021-09-16 Online:2022-01-05 Published:2022-01-18
  • Contact: Shengkun JIA,Xigang YUAN

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

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