Pairing Relative Gain Array (RGA) and System Stability in Distillation Column
DOI:
https://doi.org/10.54388/jkues.v2i2.188Keywords:
MIMO, RGA, controller stability, stability analysis, distillation column, minimum interactionAbstract
The stability of distillation system has always been difficult to determine due to the nonlinear natural of the unit operation. In this work the Relative Gain Array RGA of MIMO were obtained to pair the loops that give minimum interaction in a distillation column. Wood and Berry 2X2 and Ogunnaike and Ray 3X3 were taken as case studies. the procedure is to compute the Relative Gain Array RGA by firstly getting the matrix at s=0. From the matrix obtained the inverse was calculated, from the inverse the transposed was made and the Relative Gain Array RGA was calculated by multiplying elements of transposed by elements of the matrix, from Relative Gain Array RGA the loops that gave minimum interaction were specified. The loops selected were subjected to stability analysis; which were plotted using MATLAB software. The results show that the systems are unconditionally stable. RGA can easily be used to select loops with minimum interactions; they are the tools to be applied wherever complex control MIMO systems are applied.
References
k. hamid and A. Abdalla, “Neutralizing tnt acidic wastewater with neem leaves powder,” Journal of Karary University for Engineering and Science, vol. 1, no. 2.
J. Levine and P. Rouchon, “Quality control of binary distillation columns via nonlinear aggregated models,” Automatica, vol. 27, no. 3, pp. 463–480, 1991.
H. Elbasher and A. Ibrahim, “A new method for correcting deviation of volatiles content and chamber pressure for single base propellant,” Journal of Karary University for Engineering and Science, vol. 1, no. 2.
M. Zain, A. A., M., M. Ahmed, and N., “Analysis and simulation of tandem charge,” Journal of Karary University for Engineering, vol. andScience,1(2.
M. Abdelwahid, H. M. Taha, A. M. Suliman, H. M. Nazir, and A. I. Ali, “Design and simulation of a can type combustion chamber,” Journal of Karary University for Engineering and Science, vol. 1, no. 2.
S. Khowinij, M. A. Henson, P. Belanger, and L. Megan, “Dynamic compartmental modeling of nitrogen purification columns,” Separation and Purification Technology, vol. 46, no. 1-2, pp. 95–109, 2005.
O. A. Asbjornsen, “Chemical process control: An introduction to theory and practice: George stephanopoulos,” Automatica, vol. 21, no. 4, pp. 502–504, 1985.
S. Dudret, K. Beauchard, F. Ammouri, and P. Rouchon, “Stability and asymptotic observers of binary distillation processes described by nonlinear convection/diffusion models,” in 2012 American Control Conference (ACC), pp. 3352–3358, IEEE, 2012.
I. Munich, “Optical metrology,” 2005. [10] T. L. Amyes, S. T. Diver, J. P. Richard, F. M. Rivas, and K. Toth, “Formation and stability of n-heterocyclic carbenes in water: the carbon acid p k a of imidazolium cations in aqueous solution,” Journal of the American Chemical Society, vol. 126, no. 13, pp. 4366–4374, 2004.
M. Mutaz, I. Hassan Mohamed, and H. Muhamed Mustafa, “The simulation of sudanese sugar cane bagasse gasification process using aspen plus,” Journal of Karary University for Engineering and Science, vol. 1, no. 1.
M. Elhassan, I. Z.., A.., and O. Hassan Abdalla, “Approach control of dfig rotor side converter based on grid frequency coordinated control,” Journal of Karary University for Engineering and Science, vol. 1, no. 1.
S. Bian, M. A. Henson, P. Belanger, and L. Megan, “Nonlinear state estimation and model predictive control of nitrogen purification columns,” Industrial & engineering chemistry research, vol. 44, no. 1, pp. 153–167, 2005.
C. Sturm, “August 20, 2021,” 2021.
