Distillation column superstructure and MINLP-model based on R-graph representation

Authors

  • Barbara Czuczai Budapest University of Technology and Economics, Department of Chemical Engineering
  • Tivadar Farkas Budapest University of Technology and Economics, Department of Chemical Engineering
  • Endre Rév Budapest University of Technology and Economics, Department of Chemical Engineering
  • Zsolt Fonyó Budapest University of Technology and Economics, Department of Chemical Engineering
  • Zoltán Lelkes Budapest University of Technology and Economics, Department of Chemical Engineering

Keywords:

MINLP, distillation, superstructure, process synthesis

Abstract

A new model has been developed for distillation column synthesis and optimization based on R-graph represented superstructure. A GDP model is generated first; this is transformed into an MINLP model which represents only the considered structures, and uses minimum number of binary variables to make distinctions between the different structures. The MINLP model is compared to literature models (Viswanathan and Grossmann, 1993; and Yeomans and Grossmann, 2000). The new model uses less number of binary variables, and is significantly faster.

Author Biography

  • Barbara Czuczai, Budapest University of Technology and Economics, Department of Chemical Engineering

    corresponding author
    bczuczai@mail.bme.hu

References

Brooke, A., Kendrick D., Meeraus, A. (1992). GAMS User’s Guide. Scientific Press, USA.

Farkas, T., Rev, E., Lelkes, Z. (2005). Process flowsheet superstructures: Structural multiplicity and redundancyPart I: Basic GDP and MINLP representations. Comp. Chem. Eng., 29(10), 2180–2197. https://doi.org/10.1016/j.compchemeng.2005.07.007

Friedler, F., Tarjan, K., Huang Y. W., Fan, L. T. (1992). Graph-theoretic approach to process synthesis: axioms and theorems Chem. Eng. Sci., 47(8), 1973–1988. https://doi.org/10.1016/0009-2509(92)80315-4

Grossmann, I. E. (1996). Mixed-Integer Optimization Techniques for Algorithmic Process Synthesis. Advances in Chemical Engineering, 23, Process Synthesis, 171–246. https://doi.org/10.1016/S0065-2377(08)60203-3

Luyben, M. I., Floudas, C. A. (1994). Analyzing the interaction of design and control–1. A multiobjective framework and application to binary distillation synthesis. Comp. Eng. Chem., 18(10), 933–969. https://doi.org/10.1016/0098-1354(94)E0013-D

Farkas, T., Rev, E., Lelkes, Z. (2005). Process flowsheet superstructures: Structural multiplicity and redundancy Part II: Ideal and binarily minimal MINLP representations. Comp. Chem. Eng., 29(10), 2198–2214.

Viswanathan, J., Grossmann, I. E. (1993). An alternate MINLP model for finding the number of trays required for a specified separation objective. Comp. Chem. Eng., 17(9), 949–955. https://doi.org/10.1016/0098-1354(93)80076-Y

Yeomans, H., Grossmann, I. E. (2000). Disjunctive Programming Models for the Optimal Design of Distillation Columns and Separation Sequences. Ind. Eng. Chem. Res., 39(6), 1637–1648. https://doi.org/10.1021/ie9906520

Published

2006-02-15

How to Cite

Czuczai, B., Farkas, T., Rév, E., Fonyó, Z., & Lelkes, Z. (2006). Distillation column superstructure and MINLP-model based on R-graph representation. Acta Agraria Kaposváriensis, 10(1), 177-184. https://journal.uni-mate.hu/index.php/aak/article/view/1768