Luyben and Vinante (Kern. Teollisuus, 29, 499 (1972))

Chapter 18, Problem 18.1

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Luyben and Vinante (Kern. Teollisuus, 29, 499 (1972)) developed a distillation column model relating temperatures on the 4th and 17th trays from the bottom of the column ( T4, T17 ) to the reflux ratio R and the steam flow rate to the reboiler S: r -2.16e -s 1.26e -D.3s j T17(s) 8.25s + 1 7.05s + 1 R(s) [T4(s) J = -2.75e-l.Bs 4.28e-D.3Ss [s(s)] 8.25s + 1 9.0s + 1 Compare the closed-loop set-point changes that result from the T17-RIT4-S pairing and the Ziegler-Nichols continuous cycling method in Chapter 12. Consider two cases: (a) A set-point change is made in each loop with the other loop in manual. (b) The set-point changes are made with both controllers in automatic.

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