CIESC Journal ›› 2022, Vol. 73 ›› Issue (1): 332-341.DOI: 10.11949/0438-1157.20210961
• Process system engineering • Previous Articles Next Articles
Kefan ZHAO1,2(),Shengkun JIA1,2(),Yiqing LUO1,2,Xigang YUAN1,2,3()
Received:
2021-07-11
Revised:
2021-09-16
Online:
2022-01-18
Published:
2022-01-05
Contact:
Shengkun JIA,Xigang YUAN
赵克凡1,2(),贾胜坤1,2(),罗祎青1,2,袁希钢1,2,3()
通讯作者:
贾胜坤,袁希钢
作者简介:
赵克凡(1997—),男,硕士研究生,基金资助:
CLC Number:
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.
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.
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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% |
Table 1 Feed conditions and product requirements
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 | |||
---|---|---|---|---|---|
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/(106 USD/a) | 2.409 | 2.279 | |||
Kriging预测TAC/(106 USD/a) | 0.941 | 2.279 | |||
Aspen Plus总调用次数 | 200 | 200 |
Table 2 The results of optimization
参数 | 传统离线代理模型优化 | 本文在线代理模型优化 | |||
---|---|---|---|---|---|
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/(106 USD/a) | 2.409 | 2.279 | |||
Kriging预测TAC/(106 USD/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 |
Table A1 Utility cost
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 |
12 | Javaloyes-Antón J, Ruiz-Femenia R, Caballero J A. Rigorous design of complex distillation columns using process simulators and the particle swarm optimization algorithm[J]. Industrial & Engineering Chemistry Research, 2013, 52(44): 15621-15634. |
13 | Qian X, Jia S K, Huang K J, et al. Optimal design of Kaibel dividing wall columns based on improved particle swarm optimization methods[J]. Journal of Cleaner Production, 2020, 273: 123041. |
14 | Wang H H, Wang Z B, Zhou Q, et al. Optimization and sliding mode control of dividing-wall column[J]. Industrial & Engineering Chemistry Research, 2020, 59(45): 20102-20111. |
15 | Sun L Y, Wang Q Y, Li L M, et al. Design and control of extractive dividing wall column for separating benzene/cyclohexane mixtures[J]. Industrial & Engineering Chemistry Research, 2014, 53(19): 8120-8131. |
16 | Quirante N, Javaloyes J, Caballero J A. Rigorous design of distillation columns using surrogate models based on Kriging interpolation[J]. AIChE Journal, 2015, 61(7): 2169-2187. |
17 | Quirante N, Caballero J A. Large scale optimization of a sour water stripping plant using surrogate models[J]. Computers & Chemical Engineering, 2016, 92: 143-162. |
18 | Jones D R, Schonlau M, Welch W J. Efficient global optimization of expensive black-box functions[J]. Journal of Global Optimization, 1998, 13(4): 455-492. |
19 | Muñoz R, Montón J B, Burguet M C, et al. Separation of isobutyl alcohol and isobutyl acetate by extractive distillation and pressure-swing distillation: simulation and optimization[J]. Separation and Purification Technology, 2006, 50(2): 175-183. |
20 | Xia M, Yu B R, Wang Q Y, et al. Design and control of extractive dividing-wall column for separating methylal-methanol mixture[J]. Industrial & Engineering Chemistry Research, 2012, 51(49): 16016-16033. |
21 | Turton R, Bailie R C, Whiting W B, et al. Analysis, Synthesis and Design of Chemical Processes[M]. New York: Prentice Hall, 2008. |
22 | Douglas J M. The Conceptual Design of Chemical Processes[M]. New York: McGraw Hill,1998. |
23 | Sacks J, Welch W J,Mitchell T J,et al. Design and analysis of computer experiments[J].Statistical Science,1989,4(4):409-423. |
1 | Asprion N, Kaibel G. Dividing wall columns: fundamentals and recent advances[J]. Chemical Engineering and Processing: Process Intensification, 2010, 49(2): 139-146. |
2 | Dejanović I, Matijašević L, OlujićŽ. Dividing wall column—a breakthrough towards sustainable distilling[J]. Chemical Engineering and Processing: Process Intensification, 2010, 49(6): 559-580. |
3 | Ho Y C, Ward J D, Yu C C. Quantifying potential energy savings of divided wall columns based on degree of remixing[J]. Industrial & Engineering Chemistry Research, 2011, 50(3): 1473-1487. |
4 | Kiss A A, Ignat R M. Enhanced methanol recovery and glycerol separation in biodiesel production—DWC makes it happen[J]. Applied Energy, 2012, 99: 146-153. |
5 | Kiss A A, Ignat R M, Flores Landaeta S J, et al. Intensified process for aromatics separation powered by Kaibel and dividing-wall columns[J]. Chemical Engineering and Processing: Process Intensification, 2013, 67: 39-48. |
6 | Schultz M A, Stewart D G, Harris J M,et al. Reduce costs with dividing-wall columns[J]. Chem. Eng. Prog., 2002,98:64-71. |
7 | 王磊. 三组元最优精馏结构筛选的通用分离因子与定量化规则[D]. 天津: 天津大学, 2019. |
Wang L. Generalized ease of separation index and quantitative rules for selection of optimal ternary-distillation configuration[D]. Tianjin: Tianjin University, 2019. | |
8 | 陈熙理, 孙国铭, 贾胜坤, 等. 基于决策树的三组元精馏序列结构最优合成规则识别[J]. 化工学报, 2021, 72(3): 1430-1437. |
Chen X L, Sun G M, Jia S K, et al. Identification of rules for optimal synthesis of ternary-distillation configuration based on decision tree[J]. CIESC Journal, 2021, 72(3): 1430-1437. | |
9 | Ge X L, Yuan X G, Ao C, et al. Simulation based approach to optimal design of dividing wall column using random search method[J]. Computers & Chemical Engineering, 2014, 68: 38-46. |
10 | Jia S K, Qian X, Yuan X G. Optimal design for dividing wall column using support vector machine and particle swarm optimization[J]. Chemical Engineering Research and Design, 2017, 125: 422-432. |
11 | Becker H, Godorr S, Kreis H. Partitioned distillation columns—why, when & how[J]. Chem. Eng., 2001, 108(1): 68-74. |
24 | Krige D G. A statistical approach to some mine valuations and allied problems at the Witwatersrand[J].Journal of the Chemical, Metallurgical and Mining Engineering Society of South Africa, 1951, 52(6):119-139. |
25 | Toal D J J, Bressloff N W, Keane A J. Kriging hyperparameter tuning strategies[J]. AIAA Journal, 2008, 46(5): 1240-1252. |
26 | Forrester A I J, Keane A J. Recent advances in surrogate-based optimization[J]. Progress in Aerospace Sciences, 2009, 45(1/2/3): 50-79. |
27 | Jones D R. A taxonomy of global optimization methods based on response surfaces[J]. Journal of Global Optimization, 2001, 21(4): 345-383. |
28 | Shahriari B, Swersky K, Wang Z Y, et al. Taking the human out of the loop: a review of Bayesian optimization[J]. Proceedings of the IEEE, 2016, 104(1): 148-175. |
29 | Brochu E, Cora V M, de Freitas N. A tutorial on Bayesian optimization of expensive cost functions, with application to active user modeling and hierarchical reinforcement learning[J]. Dept. Comput. Sci.,2010(12):1012,2599. |
30 | Keane A, Forrester A, Sobester A. Engineering Design via Surrogate Modelling: A Practical Guide[M]. Washington, DC: AIAA, Inc., 2008. |
31 | Kalagnanam J R, Diwekar U M. An efficient sampling technique for off-line quality control[J]. Technometrics, 1997, 39(3): 308-319. |
32 | Iman R L, Helton J C, Campbell J E. An approach to sensitivity analysis of computer models(I):Introduction, input variable selection and preliminary variable assessment[J]. Journal of Quality Technology, 1981, 13(3): 174-183. |
33 | 韩忠华. Kriging模型及代理优化算法研究进展[J]. 航空学报, 2016, 37(11): 3197-3225. |
Han Z H. Kriging surrogate model and its application to design optimization: a review of recent progress[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(11): 3197-3225. | |
34 | Goldberg D E. Genetic Algorithm in Search, Optimization, and Machine Learning[M]. Massachusetts: Addison-Wesley Professional,1989. |
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