Simulated Annealing Approach to the Optimal Synthesis of Distillation Column with Intermediate Heat Exchangers

Abstract

Abstract: This article presents a simulated annealing-based approach to the optimal synthesis of distillation column considering intermediate heat exchangers arrangements. The number of intermediate condensers and/or inter-mediate reboilers, the placement locations, the operating pressure of column, and the heat duties of intermediate heat exchangers are treated as optimization variables. A novel coding procedure making use of an integer number series is proposed to represent and manipulate the structure of system and a stage-to-stage method is used for column design and cost calculation. With the representation procedure, the synthesis problem is formulated as a mixed integer nonlinear programming (MINLP) problem, which can then be solved with an improved simulated annealing algorithm. Two examples are illustrated to show the effectiveness of the suggested approach.

Key words: distillation, intermediate heat exchanger, synthesis, mixed integer nonlinear programming, simulated annealing

摘要： This article presents a simulated annealing-based approach to the optimal synthesis of distillation column considering intermediate heat exchangers arrangements. The number of intermediate condensers and/or inter-mediate reboilers, the placement locations, the operating pressure of column, and the heat duties of intermediate heat exchangers are treated as optimization variables. A novel coding procedure making use of an integer number series is proposed to represent and manipulate the structure of system and a stage-to-stage method is used for column design and cost calculation. With the representation procedure, the synthesis problem is formulated as a mixed integer nonlinear programming (MINLP) problem, which can then be solved with an improved simulated annealing algorithm. Two examples are illustrated to show the effectiveness of the suggested approach.

关键词: distillation, intermediate heat exchanger, synthesis, mixed integer nonlinear programming, simulated annealing

AN Weizhong, YU Fengjuan, DONG Fenglei, HU Yangdong. Simulated Annealing Approach to the Optimal Synthesis of Distillation Column with Intermediate Heat Exchangers[J]. Chin.J.Chem.Eng., 2008, 16(1): 30-35.

安维中, 于凤娟, 董凤蕾, 胡仰栋. Simulated Annealing Approach to the Optimal Synthesis of Distillation Column with Intermediate Heat Exchangers[J]. Chinese Journal of Chemical Engineering, 2008, 16(1): 30-35.

References

1 Zodonik, S.B., “Balancing energy costs against equipment costs”, Chem. Eng., 84, 99-106 (1977).

2 Patterson, W.C., Wells, T.A., “Energy-saving schemes in distillation”, Chem. Eng., 84, 78-83 (1977).

3 Lynd, L.R., Grethlein, L.R., “Distillation with intermediate heat pumps and optimal sidestream return”, AIChE J., 44, 1316-1326 (1998).

4 Agrawal, R., Herron, D.M., “Intermediate reboiler and condenser arrangement for binary distillation columns”, AIChE J., 44, 1316-1326 (1998).

5 Agrawal, R., Herron, D.M., “Optimum thermodynamic feed conditions for distillation of ideal binary mixtures,” AIChE J., 43, 2984-2995 (1997).

6 Agrawal, R., Herron, D.M., “Intermediate reboiler and condenser arrangement for binary distillation columns”, AIChE J., 44, 1316-1322 (1998).

7 Agrawal, R., Fidkowski, Z.T., “On the use of intermediate reboilers in the rectifying section and condensers in the stripping section of a distillation column”, Ind. Eng. Chem. Res., 35, 2801-2810 (1996).

8 Agrawal, R., Fidkowski, Z.T., “Efficient use of an intermediate reboiler or condenser in a binary distillation,” AIChE J., 44, 1303-1309 (1998).

9 Ingela, N.B., Urban, G., Fredrik, S., “Simulation and experimental study of intermediate heat exchange in a sieve tray distillation column”, Comput. Chem. Eng., 26, 499-505 (2002).

10 Kirkpatrick, S., Gelatt, C.D., Vecchi, M.P., “Optimization by simulated annealing”, Science, 220, 671-680 (1983).

11 Cardoso, M.F., Salcedo, R.I., Azevedo, S.F., “A simulated annealing approach to the solution of MINLP problems”, Comput. Chem. Eng., 21, 1349-1364 (1997).

12 Yuan, X.G., An, W.Z., “Synthesis of heat integrated complex distillation flowsheet via stochastic optimization approaches”, Chin. J. Chem. Eng., 10, 495-507 (2002).

13 An, W.Z., Yuan, X.G., “Improved simulated annealing algorithm for the synthesis of heat integrated distillation sequences”, J. Chem. Ind. Eng. (China), 56, 506-510 (2005).

14 An, W.Z., Yuan, X.G., “Synthesis of thermally coupled complex distillation system based on stochastic optimization (I) Problem formulation”, J. Chem. Ind. Eng. (China), 57, 1591-1598 (2006). (in Chinese)

15 An, W.Z., Yuan, X.G., “Synthesis of thermally coupled complex distillation system based on stochastic optimization (II) Example illustration and analysis”, J. Chem. Ind. Eng. (China), 57, 1599-1604 (2006). (in Chinese)

16 Douglas, J.M., “Conceptual design of chemical processes”, McGraw-Hill, New York (1988).

17 Lewis, W.K., Matheson, G.L., ‘‘Design of rectifying columns for natural and refinery gasoline’’, Ind. Eng. Chem., 24, 494-499 (1932).

18 Guthrie, K.M., “Capital cost estimating”, Chem. Eng., 24, 114-142 (1969).

19 An,W.Z., “Synthesis of complex distillation systems based on stochastic optimization”, Ph. D. Thesis, Tianjin Univ., Tianjin (2003). (in Chinese)

20 Luyben, W.L., “Design and control of distillation column with intermediate reboilers”, Ind. Eng. Chem. Res., 43, 8244-8256 (2004).

[1]	Mingzhi Li, Zhikai Liu, Wang Yao, Chao Xu, Yangping Yu, Mei Yang, Guangwen Chen. Ultrasonic cavitation-enabled microfluidic approach toward the continuous synthesis of cesium lead halide perovskite nanocrystals [J]. Chinese Journal of Chemical Engineering, 2023, 59(7): 32-41.
[2]	Yingxi Gao, Jiayi Shi, Jie Wang, Fan Zhang, Shichao Tian, Zhiyong Zhou, Zhongqi Ren. Enrichment of nervonic acid in Acer truncatum Bunge oil by combination of two-stage molecular distillation, one-stage urea complexation and five-stage solvent crystallization [J]. Chinese Journal of Chemical Engineering, 2023, 59(7): 61-71.
[3]	Haixiang Liu, Jun Zhang, Chunlei Dong, Gang Zhu, Guanben Du, Shuduan Deng. Synthesis, performance and structure characterization of glyoxal-monomethylolurea-melamine (G-MMU-M) co-condensed resin [J]. Chinese Journal of Chemical Engineering, 2023, 59(7): 92-104.
[4]	Yi Wu, Pengfei Song, Ningyan Li, Yanan Jiang, Yuan Liu. Molybdenum tailored Co⁰/Co²⁺ active pairs on a perovskite-type oxide for direct ethanol synthesis from syngas [J]. Chinese Journal of Chemical Engineering, 2023, 59(7): 279-289.
[5]	Danlei Chen, Yiqing Luo, Xigang Yuan. Cascade refrigeration system synthesis based on hybrid simulated annealing and particle swarm optimization algorithm [J]. Chinese Journal of Chemical Engineering, 2023, 58(6): 244-255.
[6]	Kai Xue, Yanchun Xue, Jing Wang, Shuya Zhang, Xingmei Guo, Xiangjun Zheng, Fu Cao, Qinghong Kong, Junhao Zhang, Zhong Jin. KOH-assisted aqueous synthesis of ZIF-67 with high-yield and its derived cobalt selenide/carbon composites for high-performance Li-ion batteries [J]. Chinese Journal of Chemical Engineering, 2023, 57(5): 214-223.
[7]	Kejin Huang, Shuaishuai Han, Lijing Zang, Haisheng Chen, Yihang Luo, Liang Zhang, Yang Yuan, Xing Qian, Shaofeng Wang. Configuring topologically optimum vapor recompressed dividing-wall distillation columns to maximize operating efficiency [J]. Chinese Journal of Chemical Engineering, 2023, 57(5): 247-264.
[8]	Shuang Qiu, Yonghou Xiao, Haoran Wu, Shengnan Lu, Qidong Zhao, Gaohong He. One-pot synthesis of bimetallic CeCu-SAPO-34 for high-efficiency selective catalytic reduction of nitrogen oxides with NH₃ at low temperature [J]. Chinese Journal of Chemical Engineering, 2023, 56(4): 193-202.
[9]	Wufeng Wu, Xilu Hong, Jiang Fan, Yanying Wei, Haihui Wang. Research progress on the substrate for metal–organic framework (MOF) membrane growth for separation [J]. Chinese Journal of Chemical Engineering, 2023, 56(4): 299-313.
[10]	Xinhao Li, Qing Ye, Jinlong Li, Lingqiang Yan, Xue Jian, Licheng Xie, Jianyu Zhang. Investigation of energy-efficient heat pump assisted heterogeneous azeotropic distillation for separating of acetonitrile/ethyl acetate/n-hexane mixture [J]. Chinese Journal of Chemical Engineering, 2023, 55(3): 20-33.
[11]	Aiqin Gao, Xiang Luo, Huanghuang Chen, Aiqin Hou, Hongjuan Zhang, Kongliang Xie. Design of the reactive dyes containing large planar multi-conjugated systems and their application in non-aqueous dyeing [J]. Chinese Journal of Chemical Engineering, 2023, 54(2): 264-271.
[12]	Wei Qin, Lijing Zang, Kejin Huang, Haisheng Chen, Yang Yuan, Xing Qian, Liang Zhang, Shaofeng Wang. Reinforced temperature control of a reactive double dividing-wall distillation column [J]. Chinese Journal of Chemical Engineering, 2023, 54(2): 288-295.
[13]	Qinggang Xu, Yasen Dai, Qing Zhao, Zhengrun Chen, Peizhe Cui, Zhaoyou Zhu, Yinglong Wang, Jun Gao, Yixin Ma. Economy, environmental assessment and energy conservation for separation of isopropanol/diisopropyl ether/water multi-azeotropes via extractive distillation coupled pervaporation process [J]. Chinese Journal of Chemical Engineering, 2023, 54(2): 353-363.
[14]	Zhiwei Wang, Yu Zhang, Zhi Zhang, Daowei Zhou, Zhikai Cao, Yong Sha. Investigation on catalytic distillation for ethyl acetate production with different catalytic packing structures [J]. Chinese Journal of Chemical Engineering, 2023, 53(1): 63-72.
[15]	Tengjie Wang, Wenkai Li, Xuehui Ge, Ting Qiu, Xiaoda Wang. Kinetics measurement of ethylene-carbonate synthesis via a fast transesterification by microreactors [J]. Chinese Journal of Chemical Engineering, 2023, 53(1): 243-250.