Chemical Engineering and Processing 67 (2013) 49–59
Contents lists available at SciVerse ScienceDirect
Chemical Engineering and Processing:
Process Intensification
jo u rn al hom epage: www.elsevier.com/locate/cep
Control structure selection for four-product Petlyuk column
Deeptanshu Dwivedi
a
, Ivar J. Halvorsen
b
, Sigurd Skogestad
a,∗
a
Department of Chemical Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway
b
SINTEF ICT, Applied Cybernetics, N-7465 Trondheim, Norway
a r t i c l e i n f o
Article history:
Received 13 March 2012
Received in revised form 30 June 2012
Accepted 23 July 2012
Available online 31 July 2012
Keywords:
Energy efficient distillation
Thermally coupled distillation
Control structure design
Divided wall columns
Petlyuk column
a b s t r a c t
Direct material coupling between column sections in distillation leads to energy efficient systems like
the Petlyuk column but with more difficult control problems compared to conventional multicomponent
distillation sequences. A control study of a four-product extended Petlyuk column operating close to
minimum energy is reported here. We study the “ideal” case with all steady state degrees of freedom
available for control, including the vapor split valves, which is required to achieve minimum energy
under all conditions. Four decentralized control structures are proposed and tested against a wide range
of disturbances. This work demonstrates also the use of the graphical V
min
tool which can be used to
visualize the minimum boilup requirement for Petlyuk arrangements.
© 2012 Elsevier B.V. All rights reserved.
1. Introduction
Significant energy losses in conventional distillation sequences
result from internal remixing. This can be reduced greatly by direct
material coupling and by doing easiest split first. Petlyuk et al.
[1] proposed such a scheme to separate feed into three products,
using a prefractionator. The prefractionator is designed and oper-
ated to do the easiest split first. A similar scheme was shown in
a patent by Cahn and DiMiceli [2]. Stupin [3] claimed significant
energy and capital saving using thermally coupled arrangement
with a prefractionator. Such prefractionator arrangements can also
be implemented in a single column shell using a dividing wall [4].
The German company BASF reports more than 100 industrial instal-
lations [5] of divided wall columns for separation of a feed into three
products.
The idea of Petlyuk to separate a mixture to three products
can be extended to separate a feed mixture into four products
in a “four-product extended Petlyuk column”. Such systems may
offer further energy savings [6]. While several control studies have
been reported on three-product divided wall columns and four-
product Kaibel columns, there are no control studies reported on
four-product extended Petlyuk columns.
Wolff and Skogestad [7] did a steady state study and operability
analysis on a three-product Petlyuk column and conclude that the
simultaneous specification of both impurities in the side product
may be infeasible. Further, the liquid and vapor split ratios between
∗
Corresponding author. Tel.: +47 735 94154; fax: +47 735 94080.
E-mail address: skoge@ntnu.no (S. Skogestad).
prefractionator and the main column should be manipulated to get
the optimal energy benefits. Niggemann et al. [8] conducted simu-
lation and experimental studies for separation of a mixture of fatty
alcohols into three high-purity products. They reported that the
heat transfer across the dividing wall can be a factor in design
and operation. Lestak et al. [9] argued that there may be some
beneficial regions and the heat transfer across the dividing wall,
should help decrease the overall energy consumptions. In non-
beneficial regions however, the wall should be insulated. Mutalib
et al. [10] reported experimental studies conducted on pilot plant
and showed a two point control of the system. Ling and Luyben
[11] explained that the liquid split valve must be manipulated and
proposed a control structure with the use of four composition loops
with the liquid split controlling the heavy key at the top stage of
the prefractionator. Kiss and Bildea [12] gave some general control
perspectives on dividing-wall columns. Ling et al. [13] suggested
a control structure that can avoid remixing of intermediates lead-
ing to energy optimal operation. van Diggelen et al. [14] reported a
study on dividing-wall columns giving emphasis on the controlla-
bility properties and dynamic responses. Some more works on the
use of Model Predictive Control have been reported for divided wall
columns [15–17].
Olujic et al. [18] reported recent advances on column internals
for divided wall columns. Dejanovic et al.[5] reported simple design
procedures for separating multicomponent aromatic mixtures into
four products using energy efficient multiple partitioned dividing
wall arrangements.
In this paper we report the very first work on control of a four-
product extended Petlyuk column. We study, here the separation of
A (methanol), B (ethanol), C (propanol) and D (n-butanol) using the
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http://dx.doi.org/10.1016/j.cep.2012.07.013