Skip to main content
Log in

Optimisation-based simulation of a pressure swing adsorption process

  • Published:
Adsorption Aims and scope Submit manuscript

Abstract

In this paper, an optimisation-based approach is developed for the determination of the cyclic steady-sate (CSS) of a pressure swing adsorption process (PSA). It consists in treating the simulation problem as a single dynamic optimisation problem where the performance index is the CSS condition, the decision variables are the state variables at the start of the cycle and the constraints are given by the process model equations with associated initial conditions. The resulting optimisation problem is solved using a gradient-based non linear programming (NLP) method, e.g. SQP method, where the gradients are computed by means of four different methods: finite differences, numerical and analytical sensitivities and adjoint system methods.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bischof, C., Carle, A., Corliss, G., Griewank, A., Hovland, P.: Adifor-generating derivative codes from FORTRAN programs. Sci. Program. 1, 1–9 (1992)

    Google Scholar 

  • Brenan, K.E., Campbell, S.E., Petzold, L.R.: Solution of Initial Value Problems in Differential-Algebraic Equations. North-Holland, New York (1989)

    Google Scholar 

  • Brown, P.N., Hindmarsh, A.C., Petzold, L.R.: Using Krylov methods in the solution of large-scale differential-algebraic systems. SIAM J. Sci. Comput. 15, 1467–1488 (1994)

    Article  Google Scholar 

  • Croft, D.T., LeVan, M.D.: Periodic states of adsorption cycles—I. Direct determination and stability. Chem. Eng. Sci. 49, 1821–1829 (1994)

    Article  CAS  Google Scholar 

  • Fikar, M., Latifi, M.A.: User’s guide for FORTRAN dynamic optimisation code DYNO. Technical report, Laboratoire des Sciences du Génie Chimique, CNRS, Nancy, France (2002)

  • Jiang, L., Biegler, L.T., Fox, V.G.: Simulation and optimization of pressure swing adsorption systems for air separation. AIChE J. 49, 1140–1157 (2003)

    Article  CAS  Google Scholar 

  • Jiang, L., Biegler, L.T., Fox, V.G.: Design and optimization of pressure swing adsorption systems with parallel implementation. Comput. Chem. Eng. 29, 393–399 (2005)

    Article  CAS  Google Scholar 

  • Kapoor, A., Yang, R.T.: Kinetic separation of methane-carbon dioxide mixture by adsorption on molecular sieve carbon. Chem. Eng. Sci. 44, 1723–1733 (1989)

    Article  CAS  Google Scholar 

  • Knaebel, S.P., Ko, R.D., Biegler, L.T.: Simulation and optimization of a pressure swing adsorption system: recovering hydrogen from methane. Adsorption 11, 615–620 (2005)

    Article  Google Scholar 

  • Li, S., Petzold, L.R.: Design of new DASPK for sensitivity analysis. Technical report, University of California, Santa Barbara, CA, USA (1999)

  • Liu, Y., Ritter, J.A.: Pressure swing adsorption-solvent vapor recovery: process dynamics and parametric study. Ind. Eng. Chem. Res. 35, 2229–2312 (1996)

    Google Scholar 

  • Liu, Y., Delgado, J., Ritter, J.A.: Comparison of finite differences techniques for simulating pressure swing adsorption. Adsorption 4, 337–344 (1998)

    Article  CAS  Google Scholar 

  • Nilchan, S., Pantelides, C.C.: On the optimisation of periodic adsorption processes. Adsorption 4, 113–147 (1998)

    Article  CAS  Google Scholar 

  • Ruthven, D.M., Farooq, S., Knaebel, K.S.: Pressure Swing Adsorption. VCH Publishers, New York (1994)

    Google Scholar 

  • Schiesser, W.E.: The Numerical Method of Lines. Academic Press, New York (1991)

    Google Scholar 

  • Schittkowski, K.: NLPQL: a FORTRAN subroutine solving constrained nonlinear programming problems. Ann. Oper. Res. 5, 485–500 (1985)

    Google Scholar 

  • Smith, O.J., Westerberg, A.W.: The optimal design of pressure swing adsorption systems. Chem. Eng. Sci. 46, 2967–2976 (1991)

    Article  CAS  Google Scholar 

  • Tondeur, D., Wankat, P.C.: Gas purification by pressure swing adsorption. Sep. Purif. Methods 14, 157–212 (1985)

    Article  CAS  Google Scholar 

  • Unger, J., Kroner, K., Marquardt, W.: Structural analysis of differential-algebraic equation systems—theory and applications. Comput. Chem. Eng. 19, 867–882 (1995)

    Article  CAS  Google Scholar 

  • Villadsen, J., Michelsen, M.L.: Solution of Differential Equation Models by Polynomial Approximation. Prentice-Hall, Englewood Cliffs (1978)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. A. Latifi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Latifi, M.A., Salhi, D. & Tondeur, D. Optimisation-based simulation of a pressure swing adsorption process. Adsorption 14, 567–573 (2008). https://doi.org/10.1007/s10450-008-9130-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10450-008-9130-0

Keywords

Navigation