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“Dynamics and control of unstable distillation columns”

Authors: Elling W. Jacobsen and Sigurd Skogestad,
Affiliation: NTNU, Department of Chemical Engineering
Reference: 1993, Vol 14, No 2, pp. 59-72.

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Keywords: Distillation, multiple steady states, instability, limit cycles

Abstract: The fact that ideal two-product distillation columns may have multiple steady states and unstable operating points has only recently been recognized. This paper discusses the dynamics and control implications. It is shown that columns operating with reflux and boilup as independent variables become unstable if the internal flows are sufficiently large. An open-loop unstable operating point may be stabilized by use of one-point control, i.e., feedback control of a column composition or temperature. If the control is not sufficiently tight, the column may go into a stable limit cycle. Finally, it is shown that with distillate flow and boilup as independent variables the operating points may become unstable if the level control is not sufficiently tight. The column may also in this case go into a stable limit cycle.

PDF PDF (1522 Kb)        DOI: 10.4173/mic.1993.2.1

DOI forward links to this article:
  [1] Moshood J. Olanrewaju, Biao Huang and Artin Afacan (2012), doi:10.1002/aic.12605
  [2] Eduardo Castellanos-Sahagu n and Jesu s Alvarez (2011), doi:10.1021/ie101659w
  [3] Mahsan Tavakoli-Kakhki and Mohammad Saleh Tavazoei (2014), doi:10.1016/j.jprocont.2014.02.019

[1] ACRIVOS, A. AMUNDSON, N:R. (1955). Application of matrix mathematics to chenical engineering problems, Ind. Eng. Chem., 47, 1533-1541 doi:10.1021/ie50548a027
[2] DOHERTY, M.F. PERKINS, J.D., (1982). On the Dynamics of Distillation Processes-IV, Uniqueness and Stability of the Steady State. in Homogenous Continous Chern.Eng.Sci, 37, 3, 381-392 doi:10.1016/0009-2509(82)80090-0
[3] JACOBSEN, E.W. S. SKOGESTAD, (1991). Multiple Steady States in Ideal Two-product Distillation, AIChE J., 37, 499-511 doi:10.1002/aic.690370404
[4] JACOBSEN, E.W. S. SKOGESTAD, (1991). Control of Unstable Distillation Columns, Proc of 1991 American Control Conference, Boston.
[5] LAPIDUS, L. AMUNDSON, N.R., (1950). Stagewise Absorption and Extraction Equipment - transient and unsteady state operation, Ind. Eng. Chem., 42, 1071-1078 doi:10.1021/ie50486a018
[6] ROSENBROCK, H.H., (1960). A Theorem of Dynamic Conservation for Distillation, Trans.instn. Chem.Engrs., 38, 20, 279-287.
[7] ROSENBROCK, H.H., (1962). A Lyapunov Function with Applications to Some Nonlinear Physical Problems, Automatica, 1, 31-53 doi:10.1016/0005-1098(63)90005-0
[8] SKOGESTAD, S. M. MORARI, (1987). Understanding the Dynamic Behavior of Distillation Columns, Ind. S Eng. Chem. Research, 27, 10, 1848-1862 doi:10.1021/ie00082a018
[9] SRIDHAR, L.N. A. LUCIA, (1989). Analysis and Algorithms for Multistage Separation Processes, Ind. and Eng. Chem. Res., 28, 793-803 doi:10.1021/ie00090a022

  title={{Dynamics and control of unstable distillation columns}},
  author={Jacobsen, Elling W. and Skogestad, Sigurd},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}


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