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F11_ECH157_HW5 - University of California Davis Department...

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University of California, Davis Department of Chemical Engineering & Materials Science ECH 157 - Process Dynamics and Control Fall 2011 Homework Problem Set # 5 Assigned : Friday, November 11. Due : Friday, November 18 (before 5:00pm). Reading Assignment : Lecture notes, Chapters 7-8 and 10-12 of the textbook. Instructions : Please include your name on the first page, label the problems clearly and put them in the right order, and staple your papers. You are required to work on, and submit your solutions to, the first four problems only . Required Problems: 1. Problem IV.5 in the textbook (page 214). 2. The liquid level in a re-boiler of a steam-heated distillation column is to be controlled by adjusting the control valve on the steam line. The process transfer function has been empirically determined to be: H ( s ) P c ( s ) = - 1 . 6(1 - 0 . 5 s ) s (3 s +1) where H denotes the liquid level (in inches) and P s is the steam pressure (in psi). The level transmitter and control valves have negligible dynamics and steady state gains of K m =0 . 5 psi/in and K v = 2 . 5 (dimension-less), respectively. Design a PI level controller using the
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