Abstract
Meaningful evaluation of the utility and performance of available nonlinear programming techniques for engineering design optimization requires the availability of realistic design models. Such models have been notably lacking in the process design area. In this paper a detailed equation oriented model of a process for the production of ethylene oxide and ethylene glycol is developed to fill this void. The model involves a large number of variables and equality constraints which are by equation sequencing reduced to 22 independent and equality constraints which are by equation sequencing reduced to 22 independent variables, nineteen constraints, as well as bounds. The salient features of such models, their usefulness and limitations are presented. The applicability of available NLP algorithms and inherent difficulties in their application are discussed. Test results are reported with representative codes. GRG codes are found to provide the only practical approach to large scale design optimization.
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References
A. Adelman and W.F. Stevens, “Process optimization by the complex method”, AIChE Journal 18 (1972) 20–27.
S.H. Ballman and J.L. Gaddy, “Optimization of methanol process by flowsheet simulation”, Industrial and Engineering Chemistry Process Design and Development 16 (1977) 337–344.
R.A. Barneson, “Picking optimization methods”, Chemical Engineering 77 (1970) 132–136.
J. Bracken and G.P. McCormick, Selected applications of nonlinear programming (Wiley, New York, 1968).
R.R. Buntin “A kinetic study of oxidation of ethylene on a silver catalyst”, Ph.D. thesis, Purdue University, W. Lafayette, IN (1961).
D.M. Considine, ed., Chemical and process technology encyclopedia (McGraw-Hill, New York, 1974).
R.S. Dembo, “GGP: A computer program for the solution of generalized geometric programming problems: Users manual”, McMaster University, Hamilton, Canada (1975).
C.W. Dibella and W.F. Stevens, “Process optimization by nonlinear programming”, Industrial and Engineering Chemistry Process Design and Development 4 (1965) 16–24.
E.D. Eason and R.G. Fenton, “Testing and evaluation of numerical methods for design optimization”, UTME-TP 7204, University of Toronto, Toronto, Canada (1972).
H.E. Eduljee, “Equations replace Gilliland plot”, Hydrocarbon Processing 54 (1975) 120–123.
L.D. Gaines and J.L. Gaddy, “Process optimization by flowsheet simulation”, Industrial and Engineering Chemistry Process Design and Development 15 (1976) 208–217.
E.W. Gorczynski, H.P. Hutchinson, and A.R.M. Wajih, “Development of a modularly original equation oriented process simulator”, CACE 79, Montreux, Switzerland (April 1979).
B.S. Gottfried, “Nonlinear process optimization by a Monte Carlo simulation technique”, personal communication.
K.M. Guthrie, “Data and techniques for preliminary capital cost estimating”, in: H. Popper, ed., Modern cost engineering techniques (McGraw-Hill, New York, 1970).
R. Hernandez and R.W.H. Sargent, “A new algorithm for process flowsheeting”, CACE 79, 12th Symposium on Computer Applications in Chemical Engineering, Montreux, Switzerland (April 1979).
B.S. Jung, W. Mirosh and W.H. Ray, “A study of large scale optimization techniques”, AIChE 71st National Meeting, Dallas, TX (1972).
L.S. Lasdon, A.D. Warren, A. Jain and M.W. Ratner, “Design and testing of a generalized reduced gradient code for nonlinear programming”, ACM Transactions on Mathematical Software 4 (1978) 34–50.
R. Luus and T.H.I. Jaakola, “Optimization by direct search and systematic reduction of the size of search region”, AIChE Journal 19 (1973) 760–766.
R. Luus and T.H.I. Jaakola, “A note on the application of nonlinear programming to chemical process optimization”, Operations Research 22 (1974) 415–418.
J.T. Mason and O.K. Crosser, “Optimal search on the return on investment surface of a small chemical plant”, paper presented at AIChE 71st National Meeting, Dallas, TX (1972).
W. McCabe and J.C. Smith, Unit operations of chemical engineering (McGraw-Hill, New York, 1972).
M. McLane, M.K. Sood and G.V. Reklaitis, “A hierarchical strategy for large scale process calculations”, CACE 79, Montreux, Switzerland (April 1979).
R.L. Motard, M. Shacham and E.M. Rosen, “Steady state chemical process simulation”, AIChE Journal 21 (1975) 417–438.
W.C. Mylander, R.L. Holmes and G.P. McCormick, “A guide to SUMT-version 4: The computer program implementing the sequential unconstrained minimization technique for nonlinear programming”, Paper RAC-P-63, Research Analysis Corporation, McLean, VA (1974)
A.L. Parker and R.R. Hughes, “Computational problems in the implementation of quadratic approximation programming”, paper presented at the AIChE Meeting, Houston, TX (April 1979).
W.A. Parker and J.W. Prados, “Analog computer design of an ethylene glycol system”, Chemical Engineering Progress 60 (1964) 74–83.
M.S. Peters and K.D. Timmerhaus, Plant design and economics for chemical engineers (McGraw-Hill, New York, 1968).
M.J. Rijckaert and X.M. Martens, “Analysis and optimization of the Williams-Otto process by geometric programming”, AIChE Journal 20 (1974) 742–747.
M.J. Rijckaert and X.M. Martens, “Biographical note on geometric programming”, Journal of Optimization Theory and Applications 26 (1978) 325–329.
R.R. Root, “An investigation of method of multipliers”, Ph.D. thesis, Purdue University, W. Lafayette, IN (1977).
E.M. Rose, “A machine computation method for performing material balances”, Chemical Engineering Progress 58 (1962) 69–75.
E. Sandgren, “The utility of nonlinear programming algorithms”, Ph.D. thesis, Purdue University, W. Lafayette, IN (1977).
R.W.H. Sargent, “The decomposition of systems of procedures and algebraic equations”, in: Lecture Notes in Mathematics 630 (Springer, Berlin, 1978) pp. 158–178.
R.W.H. Sargent and A.W. Westerberg, “Speed-up in chemical engineering design”, Transactions of the Institutions of Chemical Engineers 42 (1964) 190–197.
P.V.L.N. Sarma, “Strategy of modeling and optimization in chemical process design”, Ph.D. thesis, Purdue University, W. Lafayette, IN (1978).
J.D. Seader, W.D. Seider and A.C. Pauls, “FLOWTRAN simulation—An introduction”, 2nd ed. (Ulrich’s Bookstore, Ann Arbor, MI, 1977).
B.D. Smith, Design of equilibrium state processes, (McGraw-Hill, New York., 1963).
M. Sriram and W.F. Stevens, “An example of the application of nonlinear programming to chemical-process optimization”, Operations Research 21 (1973) 296–302.
W.F. Stevens, “Applications of nonlinear programming to chemical engineering process optimization”, paper presented at the ORSA Meeting, New Orleans, LA (1972).
P.B. Stewart and P. Mungal, “Correlation equation for solubility of carbon dioxide in water, seawater, and seawater concentrates”, Journal of Chemical and Engineering Data 2 (1971) 170–178.
R.E. Treybal, Mass transfer operations, (McGraw-Hill, New York, 1968).
A.D. Warren and L.S. Lasdon, “The status of nonlinear programming software”, Operations Research 27 (1979) 431–448.
A.W. Westerberg, Carnegie-Mellon University, Pittsburgh, private communication.
T.J. Williams and R.E. Otto, “A generalized chemical processing model for the investigation of computer control”, AIEE Transactions Part 1, Communications and Electronics 79 (1960) 458–471.
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© 1982 The Mathematical Programming Society, Inc.
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Sarma, P.V.L.N., Reklaitis, G.V. (1982). Optimization of a complex chemical process using an equation oriented model. In: Goffin, JL., Rousseau, JM. (eds) Applications. Mathematical Programming Studies, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0121229
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DOI: https://doi.org/10.1007/BFb0121229
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