**Page description appears here**

“Dynamic Simulation of Chemical Engineering Systems by the Sequential Modular Approach”

Authors: Magne Hillestad and Terje Hertzberg
Affiliation: NTNU (Chemical Engineering)
Reference: 1986, Vol 7, No 3, pp. 107-127.

     Valid XHTML 1.0 Strict


Keywords: Modular integration, sequential, coordinational algorithm, prediction of tear variables, interpolation, multirate

Abstract: An algorithm for dynamic simulation of chemical engineering systems, using the sequential modular approach, is proposed. The modules are independent simulators, and are integrated over a common time horizon. Interpolation polynomials are used to approximate input variables. These input polynomials are updated before modules are intergrated in order to interpolate output from preceding module(s) and thereby increase coupling and stabilize the computation. Tear stream variables have to be predicted at future time tn+1 and various prediction methods are proposed.

PDF PDF (2095 Kb)        DOI: 10.4173/mic.1986.3.1

DOI forward links to this article:
[1] G. Endrestøl Terje Sira Monica Østenstad Tahir I. Malik M. Meeg J. Thrane, (1989), doi:10.4173/mic.1989.4.2
[2] Sidharth Abrol Courtland M. Hilton, (2012), doi:10.1016/j.compchemeng.2012.02.005
[3] J.F. Andrus, (1991), doi:10.1016/0898-1221(91)90050-E

References:
[1] ANDRUS, J.F. (1979). Numerical solution of systems of ordinary differential equations separated into subsystems. SIAM J. Numerical Anal., 16, 606-611, doi:10.1137/0716045
[2] BALCHEN, J.G., FJELD, M., and SAELID, S. (1983). Significant problems and potential solutions in future process control, paper presented at the Annual AIChE Meeting, Washington DC (1983).
[3] BARRETT, A. and WALSH, J.J. (1979). Improved chemical process simulation using local thermodynamic approximations. Comp. and Chem. Engg., 3, 397-402, doi:10.1016/0098-1354(79)80063-0
[4] BIRTA, L.G. (1980). A Quasi-Parallel Method for the Simulation of Loosely Coupled Continuous Subsystems. Mathematics and Computers in Simulation, 22, 189-199, doi:10.1016/0378-4754(80)90045-2
[5] CAMERON, I.T. (1981). (Ph.D. thesis) Numerical Solution of Differential-Algebraic Equations in Process Dynamics. Dept. of Chemical Engineering and Chemical Technology, Imperial College of Science and Technology, London SW7.
[6] CAMERON, I.T. (1983). Large scale transient analysis of processes - the state of the art. Lat. Am. J. Chem. Eng. Appl. Chem., 13, 215-228.
[7] COOK, W.J. and BROSILOW, C.B. (1980). A Modular Dynamic Simulation for Distillation Systems, Paper presented at the 73rd Annual AIChE Meeting, Chicago III. (1980).
[8] ELLISON, D. (1981). Efficient automatic integration of ordinary differential equations with discontinuities. Mathematics and Computers in Simulation, 23, 12-20, doi:10.1016/0378-4754(81)90003-3
[9] ENRIGHT, W.H., JACKSON, K.R., NØRSETT, S.P. and THOMSEN, P.G. Interpolants for Runge-Kutta formulas. Trans. of Math. Software (submitted).
[10] FAGLEY, J. and CARNAHAN, B. (1983). Efficiency and flexibility in dynamic chemical plant simulation. Proceedings of PAChEC-83, The Third Pacific Chemical Engineering Conference, Seoul, Korea, 8-11 May (1983), pp. 78-84.
[11] GEAR, C.W. (1971). Numerical Initial Value Problem in Ordinary Difierential Equations (Prentice Hall Inc., Englewood Cliffs, N.J.).
[12] GEAR, C.W. (1980). Automatic multirate methods for ordinary differential equations, Department of Computer Science, University of Illinois at Urbana-Champaign, Report UIUCDCS-R-82-1103.
[13] GOMM. W. (1981). Stability analysis of explicit multirate methods. Mathematics and Computers in Simulation, 23, 34-50, doi:10.1016/0378-4754(81)90005-7
[14] GUNDERSEN, T. and HERTZBERG, T. (1983). Partitioning and tearing of networks - applied to process flowsheeting. Modeling Identification and Control. 4, 139-165, doi:10.4173/mic.1983.3.2
[15] HACHTEL, G.D. and SANGIOVANNI-VINCENTTELLI, A.L. (1981). A survey of third-Generation simulation techniques. Proceedings I.E.E.E. 69, 1264-1280, doi:10.1109/PROC.1981.12166
[16] HILLESTAD, M. (1986). Thesis for the degree of dr.ing., Lab. of Chemical Engineering, The Norwegian Institute of Technology, N-7034 Trondheim-NTH (in preparation for submission).
[17] HLAVACEK, V. (1977). Analysis of a complex plant steady state and transient behavior. Comp. and Chem. Engg., 1, 75-100, doi:10.1016/0098-1354(77)80011-2
[18] KURU, S. and WESTERBERG, A.W. (1985). A Newton-Raphson based strategy for exploiting latency in dynamic simulation. Comp. and Chem. Eng., 9, 175-182, doi:10.1016/0098-1354(85)85007-9
[19] LIU, Y.C. and BROSILOW, C.B. (1983). Modular Integration Methods for Large Scale Dynamic Systems, Paper presented at AIChE Diamond Jubilee Meeting, Washington DC (1983).
[20] ORAILOGLU, A. (1979). A multirate ordinary differential equation integrator, Dept. of Computer Science, University of Illinois at Urbana-Campaign, Report UIUCDCS-R-79-959.
[21] PATTERSON, G.K. and ROZSA R.B. (1980). DYNSYL: A general-purpose dynamic simulator for chemical processes. Comp. and Chem. Engg., 4, 1-20, doi:10.1016/0098-1354(80)80009-3
[22] PALUSINSKI, O.A. and WAIT, J.V. (1978). Simulation method for combined linear and nonlinear systems. Simulation, 30, 85-95, doi:10.1177/003754977803000305
[23] PONTON, J.W. (1983). Dynamic process simulation using flowsheet structure, Comp. and Chem. Engg., 7, 13-17, doi:10.1016/0098-1354(83)85002-9
[24] SKELBOE, S. (1984). Multirate Integration Methods, Elektronik Centralen, DK-2970 Hørsholm, Denmark.
[25] SØDERLIND, G. (1980). DASP3 - A Program for Numerical Integration of Partitioned Stiff ODEs and Differential-Algebraic Systems, Report TRITA-NA-8008, Numerical Analysis and Computer Science, The Royal Institute of Technology, S-10044 Stockholm 70, Sweden.


BibTeX:
@article{MIC-1986-3-1,
  title={{Dynamic Simulation of Chemical Engineering Systems by the Sequential Modular Approach}},
  author={Hillestad, Magne and Hertzberg, Terje},
  journal={Modeling, Identification and Control},
  volume={7},
  number={3},
  pages={107--127},
  year={1986},
  doi={10.4173/mic.1986.3.1},
  publisher={Norwegian Society of Automatic Control}
};

News

Jan 2012: Follow MIC on your smartphone by using the Google Reader App and the RSS feed.

Smartphone


July 2011: MIC passes 1000 ISI Web of Science citations.


Mar 2010: MIC is now indexed by DOAJ and has received the Sparc Seal seal for open access journals.


Dec 2009: RSS feed for latest issue is available.


Dec 2009: A MIC group is created at LinkedIn and Twitter.


Oct 2009: MIC is now fully updated in ISI Web of Knowledge.