Application of Discrete Time Controllers to A Pilot Scale Packed Distillation Column

Year 2020, Volume: 3 Issue: 1, 29 - 34, 30.05.2020

Semin Altuntaş , Hale Hapoğlu

Abstract

The process involved is a pilot scale packed
distillation column that separates a mixture of methanol and water. The
performances of two discrete time controllers that different parameter tuning
techniques were used for each of them were examined in the face of the set
point tracking of the overhead product composition. The success of the discrete
time controllers were assessed by means of the rise time and integral of the
square error (ISE) criteria. A discrete time proportional integral controller
with two terms was obtained by using the velocity form of controller law. For
this controller, the proportional sensitivity term (K_c) and the
other term were determined by creating root locus diagram and replacing the
closed loop poles to the appropriate location in unit circle of z-plane. The
most successful proposed controller action was obtained with K_c of
0.95 and integral time constant of 2.375 min according to rise time of 3.7 min
and ISE criteria of 1.08.  The discrete
time proportional integral derivative (PID) controller with six parameters as
P=0.009185, I=0.01835, D=0, N=100, b=1, c=1 that were tuned by using Simulink
control design and 1 min sampling time was applied to the process. The same controller
performance with six parameters of P=1.164, I=0.5319, D=-0.01481, N=3.783,
b=0.1233, c=0.01017 was investigated by choosing 0.5 min sampling time. By
comparing all the performances obtained, it can be said that the discrete time controller
with two terms tuned by the suggested approach can easily be applied to obtain
the most desired performance.

Keywords

Discrete time controller, packed distillation column, root locus, closed loop pole placement

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