Korean Journal of Chemical Engineering

, Volume 4, Issue 2, pp 154–160 | Cite as

A methodology for equation-based analysis of large chemical processes using the functional matrix

  • Soo Hyoung Choi
  • En Sup Yoon


The equation-based approach to process analysis is necessary for efficient optimization of large and complex processes, and involves the problem of solving a large number of equations. To complement this approach, an improved equation-solving system using the functional matrix suggested by Mattione, Meir and Book was developed, and its capacity for the process analysis was demonstrated by case studies.

The equation-solving system developed in this work reads equations, stores them in the functional matrix, rearranges them, and, if they have degrees of freedom, selects design variables which make each partition the easiest to solve. Given the values of the design variables, the system solves the equations as it manipulates the functional matrix.

The developed equation-solving system was proved to be efficient for solving a large number of equations which involve degrees of freedom. Case studies show that the methodology established in this work is an appropriate basis for the equation-based analysis of large chemical processes.


Design Variable Multiple Root Linear Simultaneous Equation Functional Matrix Occurrence Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Rosen, E.M.: Foundations of Computer-Aided Chemical Process Design, Vol. 1, pp. 529–533, Engineering Foundation, New York (1981).Google Scholar
  2. 2.
    Evans, LB.: ibid, pp. 425–469.Google Scholar
  3. 3.
    Steward, D.V.: SIAM Rev.,4, 321 (1962).CrossRefGoogle Scholar
  4. 4.
    Steward, D.W.:SIAM 1 Numer. Anal., Ser. B,2, 345 (1965).CrossRefGoogle Scholar
  5. 5.
    Sargent, R.W.H. and Westerberg, A.W.:Trans, of the fnst. ofChem. Eng.,42, T 190 (1964).Google Scholar
  6. 6.
    Himmelblau, D.M.:Chem. Eng. Sci.,22, 883 (1967).CrossRefGoogle Scholar
  7. 7.
    Tarjan, R.:SIAM J. Comput.,1, 146 (1972).CrossRefGoogle Scholar
  8. 8.
    Lee, W., Christensen, J.H. and Rudd, D.F.:AIChE J. 12, 1105 (1966).Google Scholar
  9. 9.
    Edie, F.C. and Westerberg, A.W.:Chem. Eng. J.,2, 114(1971).CrossRefGoogle Scholar
  10. 10.
    Ramirez, W.F. and Vestal, C.R.:Chem. Eng. Sci,27, 2243 (1972).CrossRefGoogle Scholar
  11. 11.
    Book, N.L. and Ramirez, W. F.:AIChE J.,22, 55 (1976).CrossRefGoogle Scholar
  12. 12.
    Book, N.L. and Ramirez, W.F.:AIChE J.,30, 609 (1984).CrossRefGoogle Scholar
  13. 13.
    Mattione, M.J.K., Meier, W.J. and Book, N.L: AIChE Symposium Series, No. 214, Vol. 78, 29 (1982).Google Scholar
  14. 14.
    Christensen, J.H.:AIChE J.,16, 177(1970).CrossRefGoogle Scholar
  15. 15.
    Westerberg, A.W., Hutchison, H.P. and Mortard, R.L. and Winter, P.: “Process Flowsheeting”, pp. 77–101, Cambridge University Press, London (1979).Google Scholar
  16. 16.
    Evans, LB.: “New Developments in Modeling, Simulation and Optimization of Chemical Processes” (lecture notes for special summer program of M.I.T.), Section 2 (1980).Google Scholar
  17. 17.
    Shacham, M.:AIChE J.,30, 92 (1984).CrossRefGoogle Scholar

Copyright information

© Korean Institute of Chemical Engineering 1987

Authors and Affiliations

  • Soo Hyoung Choi
    • 1
  • En Sup Yoon
    • 1
  1. 1.Department of Chemical EngineeringSeoul National UniversityKorea

Personalised recommendations