Hot and cold liquids are mixed at the junction of two pipes. The temperature of the resulting mixture is to be controlled using a control valve on the hot stream.The dynamics of the mixing process, control valve, and temperature sensor/transmitter are negligible and the sensor-transmitter gain is 6 mA/mA. Because the temperature sensoris located well downstream of the junction, an 8 s time delay occurs. There are no heat losses/gains for the downstream pipe.(a)Draw a block diagram for the closed-loop system.(b)Determine the Ziegler–Nichols settings (continuous cycling method) for both PI and PID controllers.(c)For each controller, simulate the closed-loop responses for a unit step change in set point.(d)Does the addition of derivative control action provide a significant improvement? Justify your answer.
Hot and cold liquids are mixed at the junction of two pipes. The temperature of the resulting mixture is to be controlled using a control valve on the hot stream.The dynamics of the mixing process, control valve, and temperature sensor/transmitter are negligible and the sensor-transmitter gain is 6 mA/mA. Because the temperature sensoris located well downstream of the junction, an 8 s time delay occurs. There are no heat losses/gains for the downstream pipe.(a)Draw a block diagram for the closed-loop system.(b)Determine the Ziegler–Nichols settings (continuous cycling method) for both PI and PID controllers.(c)For each controller, simulate the closed-loop responses for a unit step change in set point.(d)Does the addition of derivative control action provide a significant improvement? Justify your answer.
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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Hot and cold liquids are mixed at the junction of two pipes. The temperature of the resulting mixture is to be controlled using a control valve on the hot stream.The dynamics of the mixing process, control valve, and temperature sensor/transmitter are negligible and the sensor-transmitter gain is 6 mA/mA. Because the temperature sensoris located well downstream of the junction, an 8 s time delay occurs. There are no heat losses/gains for the downstream pipe.(a)Draw a block diagram for the closed-loop system.(b)Determine the Ziegler–Nichols settings (continuous cycling method) for both PI and PID controllers.(c)For each controller, simulate the closed-loop responses for a unit step change in set point.(d)Does the addition of derivative control action provide a significant improvement? Justify your answer.
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