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Consider a multistage bioseparation process described by the transfer function: G(s) 2 (5s+1)(3s+1)(s+1) a) Calculate the response to a step input change of magnitude, 1.5. b) Obtain an approximate FOPDT (first-order-plus-delay-time) model by lumping all of the small time constants into a single delay time. What are the 1st order time constant, gain, & delay time? c) Obtain an approximate FOPDT model using Skogestad's method. What are the 1st order time constant, gain, & delay time? d) From points generated for part (a) use regression to obtain an approximate FOPDT model. What are the 1st order time constant, gain, & delay time? e) Calculate responses from all models using the same step in part (a) & plot all responses on the same graph. What can you conclude concerning the approximations?

Consider a multistage bioseparation process described by the transfer function: G(s) 2 (5s+1)(3s+1)(s+1) a) Calculate the response to a step input change of magnitude, 1.5. b) Obtain an approximate FOPDT (first-order-plus-delay-time) model by lumping all of the small time constants into a single delay time. What are the 1st order time constant, gain, & delay time? c) Obtain an approximate FOPDT model using Skogestad's method. What are the 1st order time constant, gain, & delay time? d) From points generated for part (a) use regression to obtain an approximate FOPDT model. What are the 1st order time constant, gain, & delay time? e) Calculate responses from all models using the same step in part (a) & plot all responses on the same graph. What can you conclude concerning the approximations?

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Consider a multistage bioseparation process described by the transfer function: G(S) 2 (5s+1)(3s+1)(s+1) a) Calculate the response to a step input change of magnitude, 1.5. b) Obtain an approximate FOPDT (first-order-plus-delay-time) model by lumping all of the small time constants into a single delay time. What are the 1st order time constant, gain, & delay time? c) Obtain an approximate FOPDT model using Skogestad's method. What are the 1st order time constant, gain, & delay time? d) From points generated for part (a) use regression to obtain an approximate FOPDT model. What are the 1st order time constant, gain, & delay time? e) Calculate responses from all models using the same step in part (a) & plot all responses on the same graph. What can you conclude concerning the approximations?
Transcribed Image Text:Consider a multistage bioseparation process described by the transfer function: G(S) 2 (5s+1)(3s+1)(s+1) a) Calculate the response to a step input change of magnitude, 1.5. b) Obtain an approximate FOPDT (first-order-plus-delay-time) model by lumping all of the small time constants into a single delay time. What are the 1st order time constant, gain, & delay time? c) Obtain an approximate FOPDT model using Skogestad's method. What are the 1st order time constant, gain, & delay time? d) From points generated for part (a) use regression to obtain an approximate FOPDT model. What are the 1st order time constant, gain, & delay time? e) Calculate responses from all models using the same step in part (a) & plot all responses on the same graph. What can you conclude concerning the approximations?
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