hw_7_2006_solution

hw_7_2006_solution - ChE 3015 Homework#7 Due on Class#20...

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1 ChE 3015 Homework #7 – Due on Class #20, Friday 3/3/2006 (10 points) Do Workshop #9 - Modeling and Simulation of Single Loop Processes This shows how to use limited amounts of test data from a real process along with a computer simulation to design and test a controller in an “offline” manner, thus avoiding potential waste and production of off-specification products. In essence, one is taking a “digital snapshot” of a real process to design a controller for the process. In Step #’s 2-5, perform the necessary open loop dynamic modeling studies using a doublet test to determine first order plus dead time (FOPDT) model parameters and second order plus dead time (SOPDT) model parameters that describe the jacketed reactor operation near the design operating conditions. Consider the value of the ± 3 σ noise level for the jacketed reactor in designing the doublet test. Summarize your results for the above work with the format: Step # 2: Doublet test design Controller output change: 42% Æ 47% Æ 37% Æ 42% PV(exit temperature), o C: 92 Æ ?? Æ ?? Æ ?? Step #’s 3-4: Table 1 – Model of the open loop Reactor Process Model K p , o C/%CO τ p τ p1 τ p2 θ p SSE K c , %CO/ o C τ I FOPDT NA* NA SOPDT NA NA NA *NA = not applicable Note: The subscript “p” denotes the parameters determined from an open loop test by changing the controller output. Note that the Standard tuning correlation in Control Station Design Tools is to be used to calculate K c and τ I .
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