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5-19. A controller receives a signal from a tempera- ture transmitter with a range of 100 to 150°C. Assume the controller is proportional-integral (PI) with a gain of 3%CO/%TO and an integral (or reset) time of 5 min. (a) Write the transfer function of the controller relating the output M (s) to the error signal E(s); assume both signals are in percent of range. Show the numerical values of the controller parameters. (b) Calculate the gain of the transmitter and write its trans- fer function assuming that it can be represented by a first- order lag with a time constant of 0.1 min. (c) Draw a block diagram of the transmitter and controller showing all transfer functions. The input signals to the dia- gram are the process temperature T(s) and its set point Tset (s), both in °C.

5-19. A controller receives a signal from a tempera- ture transmitter with a range of 100 to 150°C. Assume the controller is proportional-integral (PI) with a gain of 3%CO/%TO and an integral (or reset) time of 5 min. (a) Write the transfer function of the controller relating the output M (s) to the error signal E(s); assume both signals are in percent of range. Show the numerical values of the controller parameters. (b) Calculate the gain of the transmitter and write its trans- fer function assuming that it can be represented by a first- order lag with a time constant of 0.1 min. (c) Draw a block diagram of the transmitter and controller showing all transfer functions. The input signals to the dia- gram are the process temperature T(s) and its set point Tset (s), both in °C.

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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S e 5-19. A controller receives a signal from a tempera- ture transmitter with a range of 100 to 150°C. Assume the controller is proportional-integral (PI) with a gain of 3%CO/%TO and an integral (or reset) time of 5 min. (a) Write the transfer function of the controller relating the output M (s) to the error signal E(s); assume both signals are in percent of range. Show the numerical values of the controller parameters. (b) Calculate the gain of the transmitter and write its trans- fer function assuming that it can be represented by a first- order lag with a time constant of 0.1 min. (c) Draw a block diagram of the transmitter and controller showing all transfer functions. The input signals to the dia- gram are the process temperature T(s) and its set point Tset (s), both in °C.
Transcribed Image Text:S e 5-19. A controller receives a signal from a tempera- ture transmitter with a range of 100 to 150°C. Assume the controller is proportional-integral (PI) with a gain of 3%CO/%TO and an integral (or reset) time of 5 min. (a) Write the transfer function of the controller relating the output M (s) to the error signal E(s); assume both signals are in percent of range. Show the numerical values of the controller parameters. (b) Calculate the gain of the transmitter and write its trans- fer function assuming that it can be represented by a first- order lag with a time constant of 0.1 min. (c) Draw a block diagram of the transmitter and controller showing all transfer functions. The input signals to the dia- gram are the process temperature T(s) and its set point Tset (s), both in °C.
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