Dynamics and control of unstable distillation columnsAuthors: Elling W. Jacoksen and Sigurd SkogestadAffiliation: NTNU, Chemical Engineering Reference: 1993, Vol. 14, No. 2, pp. 59-72 |
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.
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DOI: 10.4173/mic.1993.2.1
DOI forward links to this article:
[1] Moshood J. Olanrewaju Biao Huang Artin Afacan, (2012), doi:10.1002/aic.12605
[2] Eduardo Castellanos-SahaguŽn JesuŽs Alvarez, (2011), doi:10.1021/ie101659w
References:
[1] ACRIVOS, A. and 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. and 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. and S. SKOGESTAD, (1991a), "Multiple Steady States in Ideal Two-product Distillation", AIChE J., 37, 499-511, doi:10.1002/aic.690370404
[4] JACOBSEN, E.W. and S. SKOGESTAD, (1991b), "Control of Unstable Distillation Columns", Proc of 1991 American Control Conference, Boston.
[5] LAPIDUS, L. and 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. and 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. and A. LUCIA, 1989, "Analysis and Algorithms for Multistage Separation Processes", Ind. and Eng. Chem. Res., 28, 793-803, doi:10.1021/ie00090a022
BibTeX:
@article{MIC-1993-2-1,
title={{Dynamics and control of unstable distillation columns}},
author={Jacobsen, Elling W. and Skogestad, Sigurd},
journal={Modeling, Identification and Control},
volume={14},
number={2},
pages={59--72},
year={1993},
doi={10.4173/mic.1993.2.1},
publisher={Norwegian Society of Automatic Control}
};


