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Consider the level control system on the KOD in Figure 2. a) The LC level measurement span is 0.1-5.0 m, and has output signal 4-20 mA. What is its gain (assume linearity)? b) The LV valve is driven by a 4-20 mA signal. Let's assume that its flow is proportional to this signal (not true in practice) with the span 0.4-2.0 m³ h-¹. What is the valve's gain? c) The level controller has been set so that a level of 4.0 m yields outflow 2.0 m³ h-¹, while a level of 0.5m yields 0.4 m³ h-¹. What is mA/mA gain of the controller? d) What is the overall gain between the level measurement and the flowrate? Does this make sense in terms of your answers a-c above? e) An engineer changes the span on the level measuring instrument to 0.1-7.0 m, without adjusting the controller gain. What effect will this have, if any, on the level control system?

Consider the level control system on the KOD in Figure 2. a) The LC level measurement span is 0.1-5.0 m, and has output signal 4-20 mA. What is its gain (assume linearity)? b) The LV valve is driven by a 4-20 mA signal. Let's assume that its flow is proportional to this signal (not true in practice) with the span 0.4-2.0 m³ h-¹. What is the valve's gain? c) The level controller has been set so that a level of 4.0 m yields outflow 2.0 m³ h-¹, while a level of 0.5m yields 0.4 m³ h-¹. What is mA/mA gain of the controller? d) What is the overall gain between the level measurement and the flowrate? Does this make sense in terms of your answers a-c above? e) An engineer changes the span on the level measuring instrument to 0.1-7.0 m, without adjusting the controller gain. What effect will this have, if any, on the level control system?

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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show steos on how to reach part c)

 

ans = 1.4mA/mA

You have already found the gain of the instrument and the gain of the control valve in parts a) and b). From the gain of the control valve you can calculate the signal from the instrument for a given level in the tank. From the gain of the control valve you calculate the signal received by the valve for a given flow rate. Therefore, you can calculate both the change in the input signal to the controller and the change in the output signal from the controller, and thus the gain. Kcontroller ASigcv ASig meas Kind regards, lain Burns ΔΟ KCV Kmeas Ah There is also some comment on this in the feedback document.
Transcribed Image Text:You have already found the gain of the instrument and the gain of the control valve in parts a) and b). From the gain of the control valve you can calculate the signal from the instrument for a given level in the tank. From the gain of the control valve you calculate the signal received by the valve for a given flow rate. Therefore, you can calculate both the change in the input signal to the controller and the change in the output signal from the controller, and thus the gain. Kcontroller ASigcv ASig meas Kind regards, lain Burns ΔΟ KCV Kmeas Ah There is also some comment on this in the feedback document.
3. Consider the level control system on the KOD in Figure 2. a) The LC level measurement span is 0.1-5.0 m, and has output signal 4-20 mA. What is its gain (assume linearity)? I b) The LV valve is driven by a 4-20 mA signal. Let's assume that its flow is proportional to this signal (not true in practice) with the span 0.4-2.0 m³ h-¹. What is the valve's gain? c) The level controller has been set so that a level of 4.0 m yields outflow 2.0 m³ h-¹, while a level of 0.5m yields 0.4 m³ h-¹. What is mA/mA gain of the controller? d) What is the overall gain between the level measurement and the flowrate? Does this make sense in terms of your answers a-c above? e) An engineer changes the span on the level measuring instrument to 0.1-7.0 m, without adjusting the controller gain. What effect will this have, if any, on the level control system? LC Vent Suction KOD ASV PT M FC Driver Motor LV ASC PC 7144||| Compressor PT RV To Flare /Safe Location AfterCooler M Driver Motor Figure 2: P&I Diagram for questions 2 and 3 TC
Transcribed Image Text:3. Consider the level control system on the KOD in Figure 2. a) The LC level measurement span is 0.1-5.0 m, and has output signal 4-20 mA. What is its gain (assume linearity)? I b) The LV valve is driven by a 4-20 mA signal. Let's assume that its flow is proportional to this signal (not true in practice) with the span 0.4-2.0 m³ h-¹. What is the valve's gain? c) The level controller has been set so that a level of 4.0 m yields outflow 2.0 m³ h-¹, while a level of 0.5m yields 0.4 m³ h-¹. What is mA/mA gain of the controller? d) What is the overall gain between the level measurement and the flowrate? Does this make sense in terms of your answers a-c above? e) An engineer changes the span on the level measuring instrument to 0.1-7.0 m, without adjusting the controller gain. What effect will this have, if any, on the level control system? LC Vent Suction KOD ASV PT M FC Driver Motor LV ASC PC 7144||| Compressor PT RV To Flare /Safe Location AfterCooler M Driver Motor Figure 2: P&I Diagram for questions 2 and 3 TC
Expert Solution
Step 1: solving (c)

c)

The level controller has been set so that a level of 4.0 m yields an outflow of 2.0 space space m cubed over h, 

while a level of 0.5 m yields an outflow of 0.4 space m cubed over h. 

There are three components in the series. The overall gain is the product of the three individual gains. 

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