Abstract
A new approach to the synthesis of a multistage heat exchange network is proposed based on the principle of fixation of variables. This principle enables one to reduce a discrete-continuous programming problem to a sequence of linear and nonlinear programming problems. For their formalization, a new variant of the superstructure of a heat exchange network is put forward which includes all the possible flow patterns of material and heat streams. A computational experiment has proven that this problem is multiextremal. The vertical decomposition of the superstructure decreases the number of local minima of an economic criterion and reduces the computational difficulty of the synthesis problem, which is useful for modeling large-scale engineering systems. The performance of the proposed algorithm is demonstrated by a number of model examples in comparison with that of the efficient SYNHEAT software.
Similar content being viewed by others
REFERENCES
Tovazhnyanskii, L.L., Kapustenko, P.A., Ul’ev, L.M., Boldyrev, S.A., Arsen’eva, O.P., and Tarnovskii, M.V., Thermal process integration in the AVDU A12/2 crude distillation unit during winter operation, Theor. Found. Chem. Eng., 2009, vol. 43, no. 6, pp. 906– 917. https://doi.org/10.1134/S0040579509060086
Meshalkin, V.P., Tovazhnyanskii, L.L., Ul’ev, L.M., Mel’nikovskaya, L.A., and Khodchenko, S.M., Energy- and resource-efficient redesign of a petroleum refining plant based on pinch analysis with allowance for external heat loss, Teor. Osn. Khim. Tekhnol., 2012, vol. 46, no. 5, pp. 491–500.
Klemeš, J.J. and Kravanja, Z., Forty years of heat integration: Pinch analysis (PA) and mathematical programming (MP), Curr. Opin. Chem. Eng., 2013, vol. 2, no. 4, pp. 461–474. https://doi.org/10.1016/j.coche.2013.10.003
Morar, M. and Agachi, P.S., Review: Important contributions in development and improvement of the heat integration techniques, Comput. Chem. Eng., 2010, vol. 34, no. 8, pp. 1171–1179. https://doi.org/10.1016/j.compchemeng.2010.02.038
Furman, K.C. and Sahinidis, N.V., A critical review and annotated bibliography for heat exchanger network synthesis in the 20th century, Ind. Eng. Chem. Res., 2002, vol. 41, no. 10, pp. 2335–2370. https://doi.org/10.1021/ie010389e
Quirante, N., Caballero, J.A., and Grossmann, I.E., A novel disjunctive model for the simultaneous optimization and heat integration, Comput. Chem. Eng., 2017, vol. 96, pp. 149–168. https://doi.org/10.1016/j.compchemeng.2016.10.002
Ahmetović, E., Ibrić, N., Kravanja, Z., and Grossmann, I.E., Water and energy integration: A comprehensive literature review of non-isothermal water network synthesis, Comput. Chem. Eng., 2015, vol. 82, pp. 144–171. https://doi.org/10.1016/j.compchemeng.2015.06.011
Ahmetović, E. and Kravanja, Z., Simultaneous synthesis of process water and heat exchanger networks, Energy, 2013, vol. 57, p. 236.
Bagajewicz, M., Rodera, H., and Savelski, M., Energy efficient water utilization systems in process plants, Comput. Chem. Eng., 2002, vol. 26, no. 1, p. 59.
Wang, Y., Chang, C., and Feng, X., A systematic framework for multi-plants heat integration combining direct and indirect heat integration methods, Energy, 2015, vol. 90, p. 56.
Laukkanen, T., Tveit, T.-M., and Fogelholm, C.-J., Simultaneous heat exchanger network synthesis for direct and indirect heat transfer inside and between processes, Chem. Eng. Res. Des., 2012, vol. 90, p. 1129.
Song, R., Chang, C., Tang, Q., Wang, Y., Feng, X., and El-Halwagi, M.M., The implementation of inter-plant heat integration among multiple plants. Part II: The mathematical model, Energy, 2017, vol. 135, p. 382.
Boldyryev, S.A., Garev, A.O., Klemeš, J.J., Tovazhnyansky, L.L., Kapustenko, P.O., Perevertaylenko, O.Yu., and Arsenyeva, O.P., Heat integration of ammonia refrigeration cycle into buildings heating systems in buildings, Theor. Found. Chem. Eng., 2013, vol. 47, no. 1, p. 39.
Zhao, X.G., O’Neill, B.K., Roach, J.R., and Wood, R.M., Heat integration for batch processes: Part 2: Heat exchanger network design, Chem. Eng. Res. Des., 1998, vol. 76, no. 6, p. 700.
Klemeš, J.J. and Varbanov, P.S., Heat integration including heat exchangers, combined heat and power, heat pumps, separation processes and process control, Appl. Therm. Eng., 2012, vol. 43, p. 1.
Holiastos, K. and Manousiouthakis, V., Minimum hot/cold/electric utility cost for heat exchange networks, Comput. Chem. Eng., 2002, vol. 26, p. 3.
Linnhoff, B., Pinch analysis—A state-of-the-art overview: Techno-economic analysis, Chem. Eng. Res. Des., 1993, vol. 71, no. 5, pp. 503–522.
Ul’ev, L.M. and Vasil’ev, M.A., Heat and power integration of processes for the refinement of coking products, Theor. Found. Chem. Eng., 2015, vol. 49, no. 5, pp. 676–687. https://doi.org/10.1134/S0040579515050292
Tsirlin, A.M., Akhremenkov, A.A., and Grigorevskii, I.N., Minimal irreversibility and optimal distributions of heat transfer surface area and heat load in heat transfer systems, Theor. Found. Chem. Eng., 2008, vol. 42, no. 2, pp. 203–210. https://doi.org/10.1134/S0040579508020139
Tsirlin, A.M. and Akhremenkov, A.A., Optimal heat transfer during the change of phase state of a refrigerating medium, Theor. Found. Chem. Eng., 2018, vol. 52, no. 5, pp. 812–818. https://doi.org/10.1134/S0040579518050408
Yee, T.F. and Grossmann, I.E., Simultaneous optimization models for heat integration—II. Heat exchanger network synthesis, Comput. Chem. Eng., 1990, vol. 14, no. 10, pp. 1165–1184. https://doi.org/10.1016/0098-1354(90)85010-8
Ponce-Ortega, J.M., Jiménez-Gutiérrez, A., and Grossmann, I.E., Optimal synthesis of heat exchanger networks involving isothermal process streams, Comput. Chem. Eng., 2008, vol. 32, no. 8, pp. 1918–1942. https://doi.org/10.1016/j.compchemeng.2007.10.007
Bogataj, M. and Kravanja, Z., An alternative strategy for global optimization of heat exchanger networks, Appl. Therm. Eng., 2012, vol. 43, p. 75.
Pettersson, F., Synthesis of large-scale heat exchanger networks using a sequential match reduction approach, Comput. Chem. Eng., 2005, vol. 29, p. 993.
Zhang, C., Cui, G., and Chen, S., An efficient method based on the uniformity principle for synthesis of large-scale heat exchanger networks, Appl. Therm. Eng., 2016, vol. 107, p. 565.
Bergamini, M.L., Scenna, N.J., and Aguirre, P.A., Global optimal structures of heat exchanger networks by piecewise relaxation, Ind. Eng. Chem. Res., 2007, vol. 46, p. 1752.
Faria, D.C., Kim, S.Y., and Bagajewicz, M.J., Global optimization of the stage-wise superstructure model for heat exchanger networks, Ind. Eng. Chem. Res., 2015, vol. 54, no. 5, p. 1595.
Björk, K.-M. and Westerlund, T., Global optimization of heat exchanger network synthesis problems with and without the isothermal mixing assumption, Comput. Chem. Eng., 2002, vol. 26, p. 1581.
Agarwal, A. and Gupta, S.K., Multiobjective optimal design of heat exchanger networks using new adaptations of the elitist nondominated sorting genetic algorithm, NSGA-II, Ind. Eng. Chem. Res., 2008, vol. 47, no. 10, pp. 3489–3501. https://doi.org/10.1021/ie070805g
Cerda, J., Westerberg, A.W., Mason, D., and Linnhoff, B., Minimum utility usage in heat exchanger network synthesis: A transportation problem, Chem. Eng. Sci., 1983, vol. 38, no. 3, p. 373.
Cerda, J. and Westerberg, A.W., Synthesizing heat exchanger networks having restricted stream/stream matches using transportation problem formulations, Chem. Eng. Sci., 1983, vol. 38, no. 10, p. 1723.
Papoulias, S.A. and Grossmann, I.E., A structural optimization approach in process synthesis—II: Heat recovery networks, Comput. Chem. Eng., 1983, vol. 7, no. 6, pp. 707–721. https://doi.org/10.1016/0098-1354(83)85023-6
Chen, Y., Grossmann, I.E., and Miller, D.C., Computational strategies for large-scale MILP transshipment models for heat exchanger network synthesis, Comput. Chem. Eng., 2015, vol. 82, pp. 68–83. https://doi.org/10.1016/j.compchemeng.2015.05.015
Nemet, A., Isafiade, A., Klemeš, J., and Kravanja, Z., Two-step MILP/MINLP approach for the synthesis of large-scale HENs, Chem. Eng. Sci., 2018, vol. 197, p. 432.
Ostrovskii, G.M., Ziyatdinov, N.N., and Emel’yanov, I.I., Synthesis of optimal systems of simple distillation columns with heat recovery, Dokl. Chem., 2015, vol. 461, no. 1, pp. 89–92. https://doi.org/10.1134/S0012500815030052
Ziyatdinov, N.N., Ostrovskii, G.M., and Emel’yanov, I.I., Designing a heat-exchange system upon the reconstruction and synthesis of optimal systems of distillation columns, Theor. Found. Chem. Eng., 2016, vol. 50, no. 2, pp. 178–187. https://doi.org/10.1134/S0040579516020147
Ziyatdinov, N.N., Emel’yanov, I.I., and Tuen, L.Q., Method for the synthesis of optimum multistage heat exchange network, Theor. Found. Chem. Eng., 2018, vol. 52, no. 6, pp. 943–955. https://doi.org/10.1134/S0040579518060167
Yee, T.F., Grossmann, I.E., and Kravanja, Z., Simultaneous optimization models for heat integration—III. Process and heat exchanger network optimization, Comput. Chem. Eng., 1990, vol. 14, no. 11, pp. 1185–1200. https://doi.org/10.1016/0098-1354(90)80001-R
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by V. Glyanchenko
Rights and permissions
About this article
Cite this article
Ziyatdinov, N.N., Emel’yanov, I.I., Lapteva, T.V. et al. Method of Automated Synthesis of Optimal Heat Exchange Network (HEN) Based on the Principle of Fixation of Variables. Theor Found Chem Eng 54, 258–276 (2020). https://doi.org/10.1134/S0040579520020189
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0040579520020189