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PC_exam_final

# PC_exam_final - Spring 2002 10.450 Process Dynamics...

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10.450 Process Dynamics, Operations, and Control Spring 2002 Final Exam In approaching the problems, take great care to identify the process, controlled variable, etc. Use the various tools – block diagrams, transfer function equations – to define the problem before embarking on a solution. In your math manipulations, make use of the tabulated information in the text and notes, such as Laplace transform pairs, frequency responses, time-domain responses for standard system elements. Review your calculated numbers for sense. None of the problems should involve outlandish magnitudes, so an uncomfortable number may indicate an error. (1) (30%) An old 18.03 exam says < = = = = = = t t x y x dt dy dt dy y y t dt dy y x 2 , 1 2 0 , 0 2 0 , 0 at 2 2 1 2 2 1 1 1 Solve for y 1 (t) and y 2 (t). submit 2 of the next 3 problems (2) (35%) After conducting open loop experiments, you characterized your process by a first- order-plus-dead-time transfer function, with gain = 1.2 %in %out -1 (inverse of the controller units), dead time = 4 min, and time constant = 6 min. A.

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PC_exam_final - Spring 2002 10.450 Process Dynamics...

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