Instrumentation and Process Control Courseware Sample 32621-F0 A INSTRUMENTATION AND PROCESS CONTROL COURSEWARE SAMPLE by the Staff of Lab-Volt Ltd. Copyright © 2001 Lab-Volt Ltd. All rights reserved. No part of this publication may be reproduced, in any form or by any means, without the prior written permission of Lab-Volt Ltd. Printed in Canada August 2007 Table of Contents Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V Courseware Outline Pressure, Flow, and Level Process Control . . . . . . . . . . . . . . . . . . . . . . . . VII Temperature Process Control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XI pH Process Control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIII Sample Exercise Extracted from Pressure, Flow, and Level Process Control Ex. 4-2 Differential-Pressure Level Meters . . . . . . . . . . . . . . . . . . . . . . . . . 3 Principle of operation of differential-pressure level meters. Measuring the level of liquid in an open column with a differential-pressure transmitter. Sample Exercise Extracted from Temperature Process Control Ex. 2-1 Resistance Temperature Detectors (RTDs) . . . . . . . . . . . . . . . . . 17 Construction and operation of RTDs. Comparison of the resistanceversus-temperature relationships of the most common types of RTDs. Nominal resistance, temperature coefficient, and sensitivity. Measurement of the voltage produced by an RTD with a Wheatstone bridge. Sample Exercise Extracted from pH Process Control Ex. 2-1 pH Electrodes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 An overview of the pH probe and of the pH Transmitter from the Process Control Training System. Operation of the pH Transmitter in both the fixed and the variable calibration modes. Measuring the pH of different solutions using the pH Probe. Other Sample Extracted from Pressure, Flow, and Level Process Control Unit Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 Instructor Guide Sample Extracted from Pressure, Flow, and Level Process Control Ex. 5-1 Pressure Process Control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 Bibliography III IV Introduction The Lab-Volt Process Control Training System, Model 6090, familiarizes students with the fundamentals of instrumentation and process control. It demonstrates the control of pressure, flow, level, temperature, and pH processes. It can also demonstrate advanced process control techniques, such as feed-forward control, second-order control, and cascade control when used with a controller featuring these functions. The basic trainer demonstrates PID (proportional, integral, derivative) control of flow, pressure, and level processes. It comes with a variable-speed pump, a tank, a column, two-way valves, pressure gauges, flexible hoses, a venturi tube, an orifice plate, a rotameter, a paddle wheel flow transmitter, and a differential pressure transmitter. A work surface provides a large area on which components can be mounted. Additional work area can be added with the provided expanding work surface. The trainer processes can be controlled by a computer-based PID Controller implemented with a personal computer (Pentium type), the included Process Control and Simulation Software (LVPROSIM), Model 3674, and the I/O Interface, Model 9065. The trainer processes can also be controlled using any conventional PID controller compatible with standard 4-20 mA signals or 0-5 V signals. To demonstrate PID control of temperature and pH processes, additional components can be added to the basic trainer. The additional components required for temperature process control include a heating unit, a cooling unit, and temperature transmitters. Those required for pH process control include chemical tanks, metering pumps, and a pH transmitter. Cascade and second-order process control can also be studied with the basic trainer by having the students from two workstations work together at a single workstation, or by adding the following components to the basic trainer: a pressure transmitter, a column, and a PID controller. V VI Courseware Outline PRESSURE, FLOW, AND LEVEL PROCESS CONTROL Unit 1 Introduction to Process Control Objective of process control. Open- and closed-loop process control. Process Instrumentation. I.S.A. instrumentation symbols. Ex. 1-1 Familiarization with the Training System Introduction to the Process Control Training System. Connection and operation of a basic flow circuit. Unit 2 Pressure Processes Nature of fluids. Definition and measurement of pressure. Pressure in a water system. Ex. 2-1 Pressure Measurement Types of pressure measurement devices. Construction and operation of liquid manometers, Bourdon-tube pressure gauges, and strain-gauge pressure transmitters. Measuring pressure with a pressure gauge, a pressure transmitter, and a liquid manometer. Ex. 2-2 Pressure Losses Characteristics of fluids. Types of fluid flow. Reynolds number. Definition of pressure loss. Factors affecting pressure loss. Measuring the pressure losses in a water system. Ex. 2-3 Centrifugal Pumps Basic operation of a liquid pump. Types of liquid pumps. Construction and operation of a centrifugal pump. Performance chart, cavitation, NPSHR and NPSHA. Measuring the pressureversus-flow curve of a centrifugal pump at different rotation speeds. Ex. 2-4 Characterization of a Pressure Process Dynamic characteristics of a process. Capacitance and resistance of a process. Classification of processes. Characterizing a pressure process by using the open-loop step response method. Unit 3 Flow Processes Definition and measurement of flow rate. Types of devices used to measure the flow rate of liquids. VII Courseware Outline PRESSURE, FLOW, AND LEVEL PROCESS CONTROL (cont'd) Ex. 3-1 Rotameters and Paddle Wheel Flow Meters Construction and operation of rotameters and paddle wheel flow meters. Plotting the voltage-versus-flow curve of a paddle wheel flow transmitter. Ex. 3-2 Orifice Plates Bernouilli's principle. Introduction to differential-pressure flow meters. Construction and operation of orifice plates. Beta ratio, vena contracta, and permanent pressure loss. Plotting and linearizing the pressure drop-versus-flow curve of an orifice plate. Ex. 3-3 Venturi Tubes Construction and operation of venturi tubes. Throat, angle of convergence, and angle of divergence. Plotting and linearizing the pressure drop-versus-flow curve of a venturi tube. Ex. 3-4 Permanent Pressure Losses Compared Definition and measurement of power. Power conversion in a water system. Power dissipated by a differential-pressure flow meter. Calculation and comparison of the yearly electricity costs of an orifice place and a venturi tube of equivalent size. Ex. 3-5 Characterization of a Flow Process Characterizing a flow process by using the open-loop step response method. Unit 4 Level Processes Measurement of level. Point level and continuous level measurement devices. Ex. 4-1 Float Switches Construction and operation of float switches. Float switch applications. Using a float switch to limit the amount of liquid pumped into a column. Ex. 4-2 Differential-Pressure Level Meters Principle of operation of differential-pressure level meters. Measuring the level of liquid in an open column with a differential-pressure transmitter. VIII Courseware Outline PRESSURE, FLOW, AND LEVEL PROCESS CONTROL (cont'd) Ex. 4-3 Zero Suppression and Zero Elevation Calibrating a differential-pressure level meter so as to compensate for the depression or elevation of its sensing element relative to the reference level. Ex. 4-4 Wet Reference Legs Measuring the level of liquid in a pressurized column with a differential-pressure level meter. Dry and wet reference legs. Compensation of the hydrostatic pressure caused by a wet reference leg. Ex. 4-5 Characterization of a Level Process Characterizing a level process by using the open-loop step response method. Ex. 4-6 Bubblers (Optional Exercise) Principle of operation of bubblers. Measuring the level of liquid in an open column by using a bubbler. Unit 5 PID Process Control Closed-loop control of a process. The PID controller. Types of PID controller configurations. Tuning of a PID controller. Ex. 5-1 Pressure Process Control The trial and error method of controller tuning. Performing PID control of a pressure process. Ex. 5-2 Flow Process Control The ultimate-cycle method of controller tuning. Performing PID control of a flow process. Ex. 5-3 Level Process Control The open-loop step response method of controller tuning. Performing PID control of a level process. Ex. 5-4 Cascade Process Control Comparison of the single-loop and cascade control modes. Tuning of a cascade control system. Performing cascade control of a level process. IX Courseware Outline PRESSURE, FLOW, AND LEVEL PROCESS CONTROL (cont'd) Ex. 5-5 Second-Order Process Control Transfer function of a process. First- and second-order processes. Characterization of a second-order process using the open-loop step response method. Performing PID control of a second-order level process. Appendixes A B C D Equipment Utilization Chart Connection Diagrams Detail of Pump Components I.S.A. Instrumentation Symbols (Meaning of the letter codes used in tag numbers) E Selection Guide for Primary Sensing Elements F Conversion Factors G Using the Process Control and Simulation Software (LVPROSIM) Bibliography We Value Your Opinion! X Courseware Outline TEMPERATURE PROCESS CONTROL Unit 1 Introduction to Temperature Process Control Definition of thermal energy and temperature. Basic principles of thermal energy (heat) transfer. Mechanisms of thermal energy transfer: conduction, convection, and radiation. Ex. 1-1 Familiarization with the Training System The heating and cooling modes of control of temperature processes. Familiarization with the components of the Process Control Training System that are used for the measurement and control of temperature. Unit 2 Temperature Measurement Temperature scales. Conversion between Celsius and Fahrenheit. Types of temperature measurement devices commonly used in industrial processes. Static and dynamic characteristics of temperature measurement devices. Ex. 2-1 Resistance Temperature Detectors (RTDs) Construction and operation of RTDs. Comparison of the resistanceversus-temperature relationships of the most common types of RTDs. Nominal resistance, temperature coefficient, and sensitivity. Measurement of the voltage produced by an RTD with a Wheatstone bridge. Ex. 2-2 Thermocouples The Seebeck effect. Construction and operation of thermocouples. Comparison of the voltage-versus-temperature relationships of the most common types of thermocouples. Cold junction compensation. Thermocouple sensitivity to noise. Ex. 2-3 Thermal Energy Transfer in Temperature Processes Measurement of thermal energy. Specific heat capacity. Conversion of energy in temperature processes. Thermal energy balance. Determining the rate at which thermal energy is gained or lost by water in a temperature process at thermal equilibrium. Unit 3 Characterization of Temperature Processes The Ziegler-Nichols and 28.3%-63.2% methods of process characterization. XI Courseware Outline TEMPERATURE PROCESS CONTROL (cont'd) Ex. 3-1 Characterization of a Temperature Process in the Heating Mode Characterizing a temperature process in the heating mode by using the Ziegler-Nichols method of process characterization. Ex. 3-2 Characterization of a Temperature Process in the Cooling Mode Characterizing a temperature process in the cooling mode by using the 28.3%-63.2% method of process characterization. Unit 4 PI Control of Temperature Processes The control of temperature in the heating and cooling modes in a chemical conversion process. Ex. 4-1 PI Control of a Temperature Process in the Heating Mode Review of the principles of the ultimate-cycle method of PI controller tuning. Performing PI control of a temperature process in the heating mode. Ex. 4-2 PI Control of a Temperature Process in the Cooling Mode Performing PI control of a temperature process in the cooling mode. Calculation and tuning of the controller P and I constants, based on the process characteristics measured in Exercise 3-2 with the 28.3%-63.2% method of process characterization. Appendices A Equipment Utilization Chart B Connection Diagrams C I.S.A. Instrumentation Symbols (Meaning of the letter codes used in tag numbers) D Selection Guide for Temperature Sensing Elements E Conversion Factors F Using the Process Control and Simulation Software (LVPROSIM) Bibliography We Value Your Opinion! XII Courseware Outline pH PROCESS CONTROL Unit 1 Introduction to pH Process Control Concentration units. Definition of pH, acid solution, alkaline solution, and buffer solution. Properties of acids and bases. Dissociation of acids and bases. Analysis of titration curves. Ex. 1-1 Familiarization with the Training System Familiarization with the components of the Process Control Training System that are used for the measurement and control of pH. Introduction to the laboratory safety rules. Unit 2 pH Measurement Acids and bases characteristics. pH scale. Temperature effect on pH. Static and dynamic characteristics of pH measurement devices. Mixing in pH process reactors. Ex. 2-1 pH Electrodes An overview of the pH probe and of the pH Transmitter from the Process Control Training System. Operation of the pH Transmitter in both the fixed and the variable calibration modes. Measuring the pH of different solutions using the pH Probe. Ex. 2-2 Titration of a Strong Acid Strong acids and strong bases. Calculation of the pH of a strong acid solution and of a strong base solution . Titration of a strong acid solution with a strong base solution. The effect of bad mixing inside a reactor. Ex. 2-3 Titration of Weak Acids The 5% rule. Weak acids and weak bases. Calculation of the pH of a weak acid solution and of a weak base solution. Titration of weak acid solutions with a strong base. Ex. 2-4 Titration of a Buffer Solution Definition of buffer solution and buffer capacity. Using a sodium bicarbonate solution as a buffer. Titration of a buffer solution with a weak acid. Unit 3 Characterization of pH Processes Determining the dynamic characteristics of a process. The Ziegler-Nicholls, 28.3%-63.2%, and approximative method of process characterization. XIII Courseware Outline pH PROCESS CONTROL (cont'd) Ex. 3-1 Characterization of a Strong-Acid pH Process Characterizing a strong-acid pH process using Zeigler-Nichols method of process characterization. Ex. 3-2 the Characterization of a Weak-Acid pH Process Characterizing a weak-acid pH process using the Zeigler-Nichols method of process characterization. Unit 4 pH Process Control pH processes. Batch and continuous processes. Batch and continuous processes examples. Ex. 4-1 PID and On-Off Control of a Batch pH Process On-off controller. On-off controller with a dead band. Performing PID and on-off control of a batch pH process. Ex. 4-2 PID Control of a Continuous pH Process The open-loop step response method of controller tuning. Performing PID control of a continuous pH process. Appendices A B C D E F G H Equipment Utilization Chart Connection Diagrams Physical Constants Periodic Table of the Elements Units Conversion Table Calibrating the pH Transmitter Useful Mathematical Formulas Using the Process Control and Simulation Software (LVPROSIM) I Neutralizing the system J Rinsing the system K Storage of the pH probe L Material Safety Data Sheets M Glossary Bibliography We Value Your Opinion! XIV Sample Exercise Extracted from Pressure, Flow, and Level Process Control Exercise 4-2 Differential-Pressure Level Meters EXERCISE OBJECTIVES C C C To describe how differential-pressure level meters operate; To describe the relationship between the hydrostatic pressure, density, and level of liquid in a vessel; To measure level in a column open to atmosphere by using a pressure transmitter. DISCUSSION Measuring hydrostatic pressure in order to infer level Unlike float switches, which allow detection of a single discrete level, differentialpressure level meters provide continuous measurement of the level of liquid in a vessel. Differential-pressure level meters do not measure the level directly. Instead they measure a parameter that varies directly with the level of liquid in the vessel: the hydrostatic pressure of the liquid. The hydrostatic pressure, also called hydraulic head, is caused by the weight of the liquid in the vessel. The hydrostatic pressure corresponds to the vertical height of the liquid column which would occur if the same pressure was applied to the liquid. The equation that relates the level of liquid in a vessel, h, to the hydrostatic pressure of the liquid, Pg, is as follows: S.I. system of units: where h Pg D g SG = = = = = level of the liquid (m); hydrostatic pressure of the liquid (kPa, gauge); mass density of the liquid (kg/m3); gravitational acceleration (m/s2); specific gravity of the liquid (dimensionless). 3 Differential-Pressure Level Meters U.S. system of units: where * h Pg gc D g SG = = = = = = level of the liquid (ft); hydrostatic pressure of the liquid (psig); dimensional constant (lbmAft/lbfAs2); mass density of the liquid (lbm/ft3); gravitational acceleration (ft/s2); specific gravity of the liquid (dimensionless). As previously mentioned, a pressure of 1 kPa corresponds to a column (head) of water of 0.102 m at 15.5°C. Similarly, a pressure of 1 psi corresponds to a column of water of 2.31 ft at 60°F. The equation shows that the level of the liquid varies in direct proportion to the hydrostatic pressure of the liquid. This direct relationship is true provided that the temperature and the density of the liquid remain constant in the vessel. Note that the volume of the liquid also varies in direct proportion to the hydrostatic pressure of the liquid, provided that the vessel is vertical and cylindrical in shape, and that the temperature and the density of the liquid remain constant. By measuring the hydrostatic pressure of a liquid with a pressure transmitter, we can obtain a voltage or current proportional to the level of the liquid. This exercise will be centered on the measurement of level in vessels that are open to atmosphere. Measurement of the level in open vessels In vessels that are open to atmosphere, the level is inferred by measuring the hydrostatic gauge pressure of the liquid. To do this, either a gauge-pressure transmitter or a differential-pressure transmitter can be used, as Figure 4-7 (a) shows. Note: The pressure transmitters of Figure 4-7 are represented by the letters "LT" (standing for level transmitter) rather than by the letters "PT" or "PDT". This occurs because flow diagrams represent components according to their function, not their construction. 4 • When a gauge-pressure transmitter (LT1) is used, the transmitter is connected at the bottom of the vessel. The transmitter sensing line can contain the process liquid, or it can contain a filling fluid that is removed from direct contact with the process liquid by a seal. • When a differential-pressure transmitter (LT2) is used, the high-pressure side of the transmitter is connected at the bottom of the vessel, while the low-pressure side is left open to atmosphere. Differential-Pressure Level Meters Figure 4-7. Measurement of the level in a vessel that is open to atmosphere. In either case, the voltage or current generated by the pressure transmitter will vary in direct proportion to the level of the liquid in the vessel, as Figure 4-7 (b) shows. This relationship is true provided that the temperature and the density of the liquid remain constant in the vessel, which is normally the case. The minimum measurable level is determined by where the primary sensing element of the pressure transmitter is connected with respect to the bottom of the vessel. The minimum level to be measured, or reference level, is adjusted by using the zero knob of the transmitter, as Figure 4-7 (b) shows. The reference level can be set at the minimum measurable level or above it. The maximum measurable level is determined by the maximum height the liquid can reach above the primary sensing element of the pressure transmitter. The maximum level to be measured is adjusted by using the span knob of the transmitter, as 5 Differential-Pressure Level Meters Figure 4-7 (b) shows. The maximum level to be measured can be set at the maximum measurable level or below it. Advantages and limitations The measurement of liquid level through the measurement of hydrostatic pressure is a method that is simple to apply, that requires minimum maintenance, and that provides a good accuracy, generally in the order of ±1% of the actual span. However, this method cannot be used with liquids that crystallize as their concentration increases. Moreover, a change in the temperature or density of the liquid dictates recalibration of the transmitter. For example, heating the liquid will decrease the density of the liquid and, therefore, will increase its volume. Consequently, the level of the liquid will increase but the weight (and therefore the hydrostatic pressure) of the liquid will remain the same, causing the pressure transmitter to indicate a level lower than the actual level. Note, however, that some manufacturers offer "smart" transmitters that can be programmed to compensate for the variation in liquid density. Similarly, a change in the type of metered liquid dictates recalibration of the pressure transmitter to account for the change in specific gravity (and therefore in density) of the liquid. Figure 4-8, for example, shows the transmitter output-versus-level curves obtained for three liquids of differing specific gravities when the pressure transmitter is calibrated to accurately measure level at the specific gravity of water (1.00 at 15.5°C/60°F and normal atmospheric pressure). The transmitter indicates a level higher than the actual level for the sulfuric acid and the chloroform. This occurs because these denser (and therefore heavier) liquids produce a higher hydrostatic pressure for any given level. Figure 4-8. Pressure transmitter-versus-level curves obtained for three liquids of differing specific gravities, when the transmitter is calibrated to accurately measure level at the specific gravity of water (1.00). 6 Differential-Pressure Level Meters Finally, in many installations, it is not possible to position the primary sensing element of the pressure transmitter at exactly the same height as the desired reference level. Thus, the sensing element may be located above or below the reference level. In those applications, the zero adjustment of the pressure transmitter must be compensated to account for the elevation or depression of its sensing element with respect to the desired reference level. You will learn more about this in the exercises to follow. Procedure summary In this exercise, you will use a pressure transmitter to measure the level of the water in a column that is open to atmosphere. You will plot the relationship between the transmitter voltage and the level, demonstrating that the voltage varies linearly with the level. EQUIPMENT REQUIRED Refer to the Equipment Utilization Chart in Appendix A of the manual to obtain the list of equipment required to perform this exercise. PROCEDURE System setup G 1. Get the Pressure Transmitter and Column from your storage location. Mount these components on the Expanding Work Surface so that the pressure ports of the Pressure Transmitter are approximately one row of perforations above the bottom of the Column. G 2. Set up the system shown in Figure 4-9. Make sure to connect the Rotameter outlet to the port of the Column which is attached to a pipe that extends down into column, which will reduce agitation of the water in the Column. On the Column, make sure the cap of the insertion opening of the Float Switch is tightened firmly. Note: Level transmitter LT1 in Figure 4-9 is actually a pressure transmitter. This occurs because flow diagrams represent components according to their function, not their construction. Note: The Column will first be operated in the pressurized mode in order to purge air from the hose connecting the bottom of the Column to the Pumping Unit. Failure to purge air from this hose can prevent the water in the Column from decreasing below a certain level when the pump speed is decreased or the pump is stopped. 7 Differential-Pressure Level Meters Figure 4-9. Measuring the water level in an open column by using a Pressure Transmitter. G 3. Power up the Pressure Transmitter. G 4. Make the following settings on the Pressure Transmitter: ZERO adjustment knob . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . MAX. SPAN adjustment knob . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . MAX. LOW PASS FILTER switch . . . . . . . . . . . . . . . . . . . . . . . . . . . . I (ON) G 5. Make sure the reservoir of the Pumping Unit is filled with about 12 liters (3.2 gallons US) of water. Make sure the baffle plate is properly installed at the bottom of the reservoir. G 6. On the Pumping Unit, adjust valves HV1 to HV3 as follows: – – – 8 Open HV1 completely; Close HV2 completely; Set HV3 for directing the full reservoir flow to the pump inlet. Differential-Pressure Level Meters G 7. Turn on the Pumping Unit. G 8. With the controller in the manual (open-loop) mode, set the controller output at 100%, which will cause the water level to rise in the Column. G 9. Close valve HV1 of the Pumping Unit completely, which will cause the water level to rise further in the Column. G 10. Set the controller output at 0% to stop the Pumping Unit. This will cause part of the water in the Column to siphon back out the tube in the Column. G 11. Remove the plug connected to the hose port at the top of the Column. Connect this port to either of the auxiliary return ports of the Pumping Unit, using an extra-long hose. This hose will serve as an overflow if the Column gets full. Moreover, it will cause the Column to be open to atmosphere through the reservoir of the Pumping Unit. G 12. Set the controller output at 50% to make the water level rise into the Column. Then open valve HV1 of the Pumping Unit completely. Transmitter calibration Note: In steps 13 through 17, you will be adjusting the ZERO and SPAN knobs of the Pressure Transmitter so that its output voltage varies between 0.00 and 5.0 V DC when the level of the water in the Column is varied between 5 and 56 cm (2 and 22 in). G 13. Connect a DC voltmeter to the 0-5 V OUTPUT of the Pressure Transmitter. G 14. Adjust the controller output until the water level is stable at 5 cm (2 in) in the Column. This will be the reference level. Note: From now on, it is important that the water level in the Column not be allowed to fall below 4 cm (1.5 in), as this would cause air to enter the line between the bottom of the Column and the Pumping Unit, which in turn would prevent the water in the Column from dropping below a certain level when the pump speed is reduced or the pump is stopped. Should this situation occur, you will have to purge air from this line by placing the Column in the pressurized mode as shown in Figure 4-9 and then repeating procedure steps 4 through 12. 9 Differential-Pressure Level Meters G 15. While observing the DC voltmeter reading, turn the ZERO adjustment knob of the Pressure Transmitter counterclockwise to decrease the voltage and stop turning it as soon as the voltmeter reads 0.00 V. G 16. Readjust the controller output to raise and stabilize the water level to 56 cm (22 in) in the Column. G 17. Adjust the SPAN knob of the Pressure Transmitter until the DC voltmeter reads 5.0 V. Note: Due to interaction between the ZERO and SPAN adjustments of the Pressure Transmitter, it will be necessary to repeat steps 14 through 17 until the Pressure Transmitter output voltage actually varies between 0.00 and 5.0 V DC when the level of the water is varied between 5 and 56 cm (2 and 22 in). Determining the relationship between the level and the pressure transmitter voltage G 18. By varying the controller output, raise the water level in the Column from 5 to 55 cm by steps of 5 cm (or from 2 to 22 in by steps of 2 in). After each new level setting, measure the voltage generated by the Pressure Transmitter and record it in Table 4-1. LEVEL [cm (in)] PRESSURE TRANSMITTER VOLTAGE (V) 5 cm (2 in) 0.00 V Table 4-1. Voltage generated by the Pressure Transmitter as a function of the water level in the open Column. 10 Differential-Pressure Level Meters G 19. Stop the variable-speed drive of the Pumping Unit by setting the controller output at 0%. G 20. From the data recorded in Table 4-1, plot in Figure 4-10 the relationship between the water level and the Pressure Transmitter voltage. G 21. According to the curve obtained in Figure 4-10, does the voltage generated by the Pressure Transmitter increase linearly as the level is increased? Why? G 22. If the water in the Column was replaced by mercury without recalibrating the Pressure Transmitter, would the transmitter indicate higher or lower than the actual liquid level? Explain. 11 Differential-Pressure Level Meters Figure 4-10. Relationship between the water level and the Pressure Transmitter voltage. G 23. Turn off the Pumping Unit by setting its POWER switch at O. G 24. Disconnect the circuit. Return the components and hoses to their storage location. 12 Differential-Pressure Level Meters G 25. Wipe off any water from the floor and the Process Control Training System. CONCLUSION In this exercise, you measured the voltage produced by a pressure transmitter as a function of the water level in an open column. This allowed you to see that the hydrostatic gauge pressure of the water in the column varies in direct proportion to the water level in the column. This direct relationship is true, provided that the density and the temperature of the water remain constant. REVIEW QUESTIONS 1. How does the level of the liquid in an open vessel vary with the hydrostatic gauge pressure of the liquid in the vessel, for any given density and temperature? 2. What effect does increasing the temperature of the liquid in a vessel have on the density and level of the liquid? 3. What is the level of the water in an open vessel if the hydrostatic pressure of the water is 100 kPa, gauge (14.5 psig) at 15.5°C (60°F)? 4. If the liquid in a vessel was changed for a liquid of lower specific gravity than that at which the pressure transmitter was calibrated, would the transmitter read higher or lower than the actual liquid level? Explain. 13 Differential-Pressure Level Meters 5. How could a pressure transmitter calibrated to accurately read level at a specific gravity of 1.00 be used to measure the level of a liquid with a specific gravity of 2.00? 14 Sample Exercise Extracted from Temperature Process Control Exercise 2-1 Resistance Temperature Detectors (RTDs) EXERCISE OBJECTIVES • • • • To explain how resistance temperature detectors (RTDs) operate; To describe the relationship between the temperature and the electrical resistance of the most common types of RTDs; To define the following terms: nominal resistance, temperature coefficient, and sensitivity. To explain how a Wheastone bridge can be used to measure the voltage produced across an RTD. DISCUSSION Electrical resistance An important characteristic of all metals is their electrical resistance. Electrical resistance is the opposition of the metal to the flow of electrical current. Electrical resistance is measured in ohms (S) in both the S.I. and U.S. systems of units. The electrical resistance of a metal is dependent upon the temperature at which the metal is. Figure 2-4, for example, shows what happens to the relative resistance of different metals as their temperature increases. The relative resistance is the ratio between the resistance at the applied temperature to the resistance at a reference temperature of 0°C (32°F). As the figure shows, the relative resistance of the metals increases as their temperature gets higher. Moreover, the relative resistance increases almost linearly with temperature, at least over a substantial range of temperatures. Besides, the relative resistance of nickel increases more sharply with temperature than that of copper or platinum. 17 Resistance Temperature Detectors (RTDs) Figure 2-4. Relative resistance-versus-temperature relationship of different metals. Temperature coefficient All metals have a specific temperature coefficient that indicates their average change in relative resistance per unit of temperature between 0 and 100°C (between 32 and 212°F). The temperature coefficient is symbolized by the Greek letter alpha ("). It is usually measured in ohms per ohm degree Celsius (°C-1) or in ohms per ohm degree Fahrenheit (°F-1). Figure 2-4, for example, indicates that the temperature coefficient of platinum is 0.00392°C-1 (0.00218°F-1). Consequently, the relative resistance of platinum varies by 0.392 between 0 and 100°C (32 and 212°F). Beyond 100°C (212°F), the shape of the platinum curve indicates that the temperature coefficient decreases slightly as the temperature gets higher. 18 Resistance Temperature Detectors (RTDs) Resistance temperature detectors A resistance temperature detector (RTD) is a primary element that is used to sense temperature. The RTD works on the principle that the electrical resistance of metals changes with temperature. The RTD consists of a metallic conductor usually wound into a coil. The RTD is to be connected to an electrical circuit in order to make a constant excitation current flow through it. As the temperature increases, the electrical resistance of the metallic conductor increases and, therefore, the voltage across the RTD increases. Consequently, by measuring the voltage across the RTD, a signal proportional to the temperature of the RTD can be obtained. This signal can be conditioned into a current, voltage, or pressure of normalized range that is suitable for instrumentation and control, the combination of the RTD and the conditioning circuit thus forming a temperature transmitter. RTD metals The selection of a metal for use as an RTD depends on several factors. Among these, the most important are the capability to follow rapidly changing temperatures, a good linearity, a good reproducibility, and a relatively high change of resistance for a given change in temperature (i.e. a high temperature coefficient). The metals most commonly used for RTDs are platinum, nickel, and copper (refer to Figure 2-4): • Platinum is the preferred metal for RTDs. It has been chosen as the international standard metal for RTD temperature measurement. Platinum has a nearly linear resistance-versus-temperature relationship over a wide temperature range. Platinum offers good stability and reproducibility. It is wellsuited for the measurement of high temperatures up to 650°C (1200°F). • Nickel is the second mostly used metal for RTDs. It is less expensive than platinum and it is more sensitive because of its higher temperature coefficient. However, nickel has a narrower sensing range than platinum and is limited to the measurement of temperatures below 300°C (570°F). • Copper is the least expensive of the three metals and it has the most linear relationship. Similar to platinum, copper is well suited for the measurement of high temperatures. However, copper is subject to oxidation, and it has poorer stability and reproducibility than platinum. RTD characteristics Two important characteristics of RTDs are their nominal resistance and their temperature coefficient: • The nominal resistance is the resistance of the RTD at a given reference temperature, as specified by the manufacturer. Platinum RTDs, for example, are usually designed so that their nominal resistance is 100 S at the ice reference point of 0°C (32°F). 19 Resistance Temperature Detectors (RTDs) • The temperature coefficient is the mean change in relative resistance of the metal per unit of temperature between 0 and 100°C (32 and 212°F), as previously explained. The nominal resistance and the temperature coefficient of an RTD determine the sensitivity of the RTD within the 0-100°C (32-212°F) temperature range. The sensitivity is the amount by which the resistance of the RTD will change per unit of temperature, in S/°C (or S/°F). For example, a platinum RTD having a nominal resistance of 100 S at 0°C (32°F) and a temperature coefficient of 0.00392°C-1 (0.00218°F-1) will have a sensitivity of 0.392 S/°C (0.218 S/°F) within the 0-100°C (32-212°F) temperature range. Measurement of the voltage across an RTD As previously mentioned, the voltage produced across an RTD, which is directly proportional to temperature, can be used for process instrumentation and control. The traditional method of measuring the voltage across an RTD is to use a Wheatstone bridge, as Figure 2-5 (a) shows. • The RTD and its two lead wires constitute one leg of the bridge. Resistors R1 and R2 are of equal resistance, while resistor R3 is adjustable and is used as a reference. • A DC voltage source supplies an excitation current to the RTD. • A differential amplifier produces a voltage VO proportional to the bridge output voltage (measured between points a and b). With the RTD placed in an ice bath at 0°C (32°F), resistor R3 is initially adjusted in order to obtain a null voltage (0 V) at the output of the differential amplifier. In this condition, the bridge is said to be null balanced. Once the bridge has been null balanced, the amplifier output voltage will vary in direct proportion to the temperature of the RTD. 20 Resistance Temperature Detectors (RTDs) Figure 2-5. Measurement of the voltage across an RTD. If the two leads that connect the RTD to the bridge are more than a few centimeters (inches) long, they will introduce an error in the temperature measurement. This occurs because the resistance of the leads will contribute to the voltage produced at the output of the bridge, causing the measured temperature to be higher than that actually measured. To minimize this error, RTDs are available in a three-wire version. The extra wire is used to cancel the resistances of lead wires 1 and 2 by balancing the bridge, as Figure 2-5 (b) shows. This has the effect of removing the error produced by lead wires 1 and 2 as long as these wires are of equal resistance (i.e. of equal length and temperature). Advantages and limitations of RTDs RTDs have the following advantages: they provide a good sensitivity, a good reproducibility, and a good stability. They also provide a high accuracy, some platinum RTDs being able to measure a few thousandths of a degree. However, RTDs are relatively expensive, and they have a slower response time than thermocouples. Moreover, the measurement accuracy of RTDs is dependent upon the thermal stability of the resistors and power supply used in the Wheatstone bridge. The RTD probe and the RTD Temperature Transmitter of the Process Control Training System The Process Control Training System comes with a three-wire RTD probe that uses a platinum RTD of 100 S at 0°C (32°F). The RTD probe is intended to be used with the RTD Temperature Transmitter to measure the temperature of the water in the trainer Column, as Figure 2-6 shows. 21 Resistance Temperature Detectors (RTDs) The tip of the RTD probe, which contains the RTD, is to be inserted into the Column through the opening of the Float Switch. The other end of the RTD probe, which has three leads, is to be connected to the "100-S RTD" terminals of the RTD Temperature Transmitter. The RTD Temperature Transmitter produces an excitation current through the RTD and it measures the resulting voltage produced across the RTD. This voltage, which is proportional to the temperature of the RTD, is conditioned into normalized voltages and current that are available at the transmitter OUTPUTS. The transmitter also contains a calibration source that can be used to simulate the voltage produced across the RTD for any RTD temperature comprised between 0 and 100°C (32 and 212°F). The source eliminates the need to set the RTD at a wellknown temperature when performing calibration of the transmitter OUTPUTS. The following is a detailed description of the RTD Temperature Transmitter terminals and adjustments (refer to Figure 2-6): Î POWER INPUT terminals: used to power the transmitter with a DC voltage of 24 V. Ï CALIBRATION SOURCE adjustment knob: sets the probe temperature to be simulated by the calibration source signal. This temperature can be adjusted between 0 and 100°C (32 and 212°F). Ð INPUT SELECTOR: selects between the actual probe signal or the simulated probe signal produced by the calibration source. Ñ CALIBRATION SELECTOR switch: places the 0-5 V and 4-20 mA OUTPUTS in either fixed or variable calibration mode. Ò ZERO and SPAN adjustment knobs: used in the variable calibration mode (CALIBRATION SELECTOR switch at VARIABLE) to set the temperature range for which the 0-5 V and 4-20 mA OUTPUTS will pass from minimum to maximum: – The ZERO knob sets the temperature for which the outputs will be minimum (0 V and 4 mA), i.e. the minimum temperature to be detected. The minimum temperature can be adjusted between 0 and 50°C (32 and 122°F). – The SPAN knob sets the temperature for which the outputs will be maximum (5 V and 20 mA), i.e. the maximum temperature to be detected. The maximum temperature can be adjusted between 15 and 30°C (27 and 54°F) above the minimum temperature set by the ZERO knob. 22 Resistance Temperature Detectors (RTDs) Figure 2-6. The RTD probe and RTD Temperature Transmitter of the Training System. Ó CALibrated OUTPUT: provides a voltage proportional to the temperature sensed by the probe or to the simulated probe signal produced by the calibration source, depending on the position of the INPUT SELECTOR switch. 23 Resistance Temperature Detectors (RTDs) This output has a fixed calibration of 100 mV per sensed °C above 0°C (or 56 mV per sensed °F above 32°F). It will pass from 0 to 10 V when the actual or simulated temperature changes from 0 to 100°C (32 to 212°F). Ô 0-5 V and 4-20 mA OUTPUTS terminals: provide a voltage and a current proportional to the temperature sensed by the probe or to the probe temperature signal simulated by the calibration source, depending on the position of the INPUT SELECTOR switch. The calibration of the 0-5 V and 4-20 mA OUTPUTS can be either fixed or variable, depending on the position of the CALIBRATION SELECTOR switch: – In the fixed calibration mode (CALIBRATION SELECTOR switch at FIXED), the temperature range for which the outputs will pass from minimum to maximum is fixed and is 0-100°C (32-212°F). – In the variable calibration mode (CALIBRATION SELECTOR switch at VARIABLE), the temperature range for which the outputs will pass from minimum to maximum can be adjusted by means of the ZERO and SPAN adjustment knobs. Õ 100-S RTD input terminals: used to connect the RTD probe to the transmitter. Procedure summary In the first part of the exercise, you will familiarize yourself with the operation of an RTD Temperature Transmitter in the fixed calibration mode. In the first part of the exercise, you will familiarize yourself with the operation of an RTD Temperature Transmitter in the variable calibration mode. In the third part of the exercise, you will set up and operate a temperature process. You will use an RTD Temperature Transmitter to measure the temperature of the water in a column. EQUIPMENT REQUIRED Refer to the Equipment Utilization Chart in Appendix A of the manual to obtain the list of equipment required to perform this exercise. 24 Resistance Temperature Detectors (RTDs) PROCEDURE Operation of the RTD Temperature Transmitter in the fixed calibration mode G 1. Get the RTD Temperature Transmitter and 24-V DC Power Supply from your storage area. Mount these components on the Main Work Surface. G 2. Power up the RTD Temperature Transmitter. G 3. Get the RTD probe from your storage location and connect it to the 100-S RTD input of the RTD Temperature Transmitter. Let the probe tip lie on the Work Surface. G 4. Make the following settings on the RTD Temperature Transmitter: INPUT SELECTOR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . RTD CALIBRATION SELECTOR . . . . . . . . . . . . . . . . . . . . . . . . . . FIXED This selects the RTD probe signal as the transmitter input signal and places the transmitter OUTPUTS in the fixed calibration mode. G 5. Connect a DC voltmeter to the 0-5 V OUTPUT of the RTD Temperature Transmitter. Since this output is in the fixed calibration mode, it generates a fixed voltage of 50 mV per sensed °C above 0°C (or 28 mV per sensed °F above 32°F). According to the voltmeter reading, what is the ambient temperature? G 6. Further experiment with the operation of the transmitter in the fixed calibration mode: – Fill a suitable container with ice water (a mixture of ice cubes and water). – Immerse the tip of the RTD probe into the ice water. The 0-5 V OUTPUT voltage should decrease and stabilize at about 0.0 V, which, in the fixed calibration mode, corresponds to an RTD temperature of 0°C (32°F). – Fill a suitable container with boiling water heated by an electric kettle or a microwave oven. – Immerse the tip of the RTD probe into the boiling water. The 0-5 V OUTPUT voltage should increase and stabilize at about 5.0 V, which, 25 Resistance Temperature Detectors (RTDs) in the fixed calibration mode, corresponds to an RTD temperature of 100°C (212°F). Note: The 0-5 V OUTPUT of the RTD Temperature Transmitter will stabilize at a voltage lower than 5.0 V if the atmospheric pressure is lower than 101.3 kPa, absolute (14.7 psia). Record below your observations. Operation of the RTD Temperature Transmitter in the variable calibration mode Note: In the following steps, you will use the calibration source of the RTD Temperature Transmitter to calibrate its 0-5 V OUTPUT so that the voltage at this output passes from 0.0 to 5.00 V when the probe temperature simulated by the calibration source passes from 25 to 55°C (77 to 131°F), respectively. G 7. Make the following settings on the RTD Temperature Transmitter: INPUT SELECTOR . . . . . . . . . . . . . . . . . . . . . . . . . . CAL. SOURCE CALIBRATION SELECTOR . . . . . . . . . . . . . . . . . . . . . . . VARIABLE ZERO adjustment knob . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . MAX. SPAN adjustment knob . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . MAX. This selects the calibration source signal as the transmitter input signal and places the transmitter OUTPUTS in the variable calibration mode. G 8. Set the probe temperature to be simulated by the calibration source of the transmitter at 25°C (77°F). To do so, adjust the CALIBRATION SOURCE knob of the transmitter until you obtain a voltage of 2.5 V at the CAL. OUTPUT of the transmitter. G 9. While monitoring the voltage at the 0-5 V OUTPUT of the transmitter, turn the ZERO adjustment knob counterclockwise and stop turning it as soon as the voltage ceases to decrease, which should occur around 0.01 V. Then very slowly turn the knob in the clockwise direction and stop turning it as soon as the voltage starts to increase. This sets the minimum temperature to be detected at 25°C (77°F) approximately. G 10. Now set the probe temperature to be simulated by the calibration source of the transmitter at 55°C (131°F). To do so, adjust the CALIBRATION SOURCE knob of the transmitter until you obtain a voltage of 5.5 V at the CAL. OUTPUT of the transmitter. 26 Resistance Temperature Detectors (RTDs) G 11. Adjust the SPAN knob in order to obtain a voltage of 5.00 V at the transmitter 0-5 V OUTPUT. This sets the maximum temperature to be detected at 55°C (131°F) approximately. G 12. Now that the RTD Temperature Transmitter is calibrated, proceed to the next part of the exercise. Measuring temperature with an RTD Preliminary setup G 13. Get the Expanding Work Surface from your storage location and mount it vertically (at an angle of 90°) to the Main Work Surface, if this has not already been done. G 14. Connect the system shown in Figure 2-7, being careful not to modify the calibration settings just made on the RTD Temperature Transmitter. Figure 2-8 shows the suggested setup. The speed of the variable-speed drive of the Pumping Unit will be controlled with a controller, FIC1, placed in the manual (open-loop) mode. The Heating and Cooling Units will be controlled manually. (This is the reason why there is no temperature controller, or "TC" instrumentation symbol illustrated next to these units in the flow diagram of Figure 2-7.) The Column will first be operated in the pressurized mode in order to purge air from the components downstream of the Column. Consequently, let the tip of the RTD probe lie on the Work Surface for now. Note: Make sure to mount the Heating Unit at the highest possible location on the Expanding Work Surface, in order for this unit to be above the other process components, as Figure 2-8 shows. Failure to do so may result in water entering the Heating Unit upon disconnection of the hoses, which in turn might cause damage to the Heating Unit. Moreover, mount the 24-V DC Power Supply and the RTD Temperature Transmitter in such a manner that water cannot enter these components and their electrical terminals when hoses are disconnected. The Heating Unit must be connected for the direction of flow indicated by the arrow heads in the symbol on its front panel. 27 Resistance Temperature Detectors (RTDs) On the other hand, the Cooling Unit will operate regardless of the direction of water flow through it. However, to minimize the risk of cavitation caused by air suction within the pump when the water becomes hot, connect the Cooling Unit as indicated in Figure 2-8, that is, with the upper unit port used as the hot water inlet and the lower unit port used as the cooled water outlet. For the same reason, mount the Column at the highest possible location on the Expanding Work Surface in order to create a substantial head of water upstream of the Cooling Unit. Note: If the controller you are using as flow controller FIC1 is the Lab-Volt Process Control and Simulation Software (LVPROSIM), model 3674, you can refer to Figure B-1 of Appendix B for details of how to connect the LVPROSIM computer to the variable-speed drive (SC1) of the Pumping Unit. Figure 2-7. Measuring temperature with an RTD temperature transmitter. 28 Resistance Temperature Detectors (RTDs) Figure 2-8. Suggested setup for the diagram of Figure 2-7 (see table next page for the detail of the components). 29 Resistance Temperature Detectors (RTDs) Î : Column Ò : Cooling Unit Ï : Heating Unit Ó : RTD probe Ð : Paddle Wheel Flow Transmitter Ô : RTD Temperature Transmitter Ñ : Pumping Unit Õ : DC Power Supply G 15. Make the following settings: On the Heating Unit: S1 switch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Manual control knob . . . . . . . . . . . . turned fully counterclockwise On the Cooling Unit: S1 switch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Manual control knob . . . . . . . . . . . . turned fully counterclockwise S2 switch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . On the RTD Temperature Transmitter: SELECTOR switch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . RTD Note: The 0-5 V OUTPUT of the RTD Temperature Transmitter should still be calibrated for a temperature measurement range of 25-55°C (77-131°F) from the first part of the exercise. G 16. Power up the Heating Unit: – – Connect the AC line cord of this unit to a wall outlet. Set the POWER switch at I. G 17. Power up the Cooling Unit and the Paddle Wheel Flow Transmitter by connecting their POWER INPUT terminals to the 24-V DC Power Supply. Purging air from the components downstream of the Column G 18. Make sure flow controller FIC1 is in the manual (open-loop) mode. Set the output of this controller at 0% (0 V). G 19. On the Column, make sure the cap of the insertion opening of the Float Switch is tightened firmly. 30 Resistance Temperature Detectors (RTDs) G 20. Make sure the reservoir of the Pumping Unit is filled with about 12 liters (3.2 gallons US) of water. Make sure the baffle plate is properly installed at the bottom of the reservoir. G 21. Turn on the Pumping Unit by setting its POWER switch at I. G 22. On the Pumping Unit, adjust valves HV1 through HV3 as follows: – – – Open HV1 completely; Close HV2 completely; Set HV3 for directing the full reservoir flow to the pump inlet (turn handle fully clockwise). G 23. Make the variable-speed drive of the Pumping Unit rotate at the maximum speed: with controller FIC1 in the manual (open-loop) mode, set the controller output at 100% (5 V). G 24. Allow the level of the water to rise in the pressurized Column until it stabilizes at some intermediate level. This will force air out of the components downstream of the Column. Note: If the cap of the insertion opening of the Float Switch on the Column has not been tightened firmly, air will be allowed to escape from the Column and the water level will not stabilize in the Column. Should this case occur, stop the variable-speed drive of the Pumping Unit. Open valves HV1 and HV2 of the Pumping Unit in order to drain the Column to the reservoir. When the Column is empty, tighten the cap of the insertion opening of the Float Switch on the Column with more force. Then resume the procedure from step 22. Placing the system in the water recirculating mode Note: In the following steps, you will place the system in the water recirculating mode by setting the Pumping Unit valves so as to direct the return flow directly to the pump inlet, not to the reservoir. This will reduce the time required to raise or decrease the temperature of the process water. For the same reason, the water level in the Column will be set at a low, minimum level of 7.5 cm (3 in). G 25. On the Pumping Unit, close valve HV1, which will cause the water level to rise further in the Column. Then set valve HV3 for directing the full return flow directly to the pump inlet (turn handle fully counterclockwise). G 26. On the Column, remove the cap of the insertion opening of the Float Switch to depressurize the Column. (The water level in the Column will remain stable). 31 Resistance Temperature Detectors (RTDs) G 27. On the Pumping Unit, open valve HV2 in order to decrease the water level in the Column to 7.5 cm (3 in), then close this valve. G 28. Readjust the output of controller FIC1 until you read 4.0 V approximately at the "F (cal.)" output of the Paddle Wheel Flow Transmitter. This will set the flow rate at about 4 l/min (1.1 gal US/min). Note: Small, continuous variations of a few tenths of volts around the adjusted mean value of 4.0 V are normal at the flow transmitter output. However, large variations of one volt or more are abnormal, and indicate that air has entered the system through an untight connector or component on the suction side of the pump. Should that case occur, stop the variable-speed drive of the Pumping Unit in order to drain the column to the reservoir. When the Column is empty, check the inside of the connector on the Pumping Unit return line hose for any dirt or particles. Also, check the o-rings on the two hose connectors of the Cooling Unit for any fissure or crack. Once you have located and eliminated the cause of the leak, reconnect the system as in Figure 2-7 and resume the procedure from step 19. Measuring temperature with the RTD G 29. Insert the RTD probe all the way into the Column in order for its tip to be submerged in the water. G 30. Have the signal at the 0-5 V OUTPUT of the RTD Temperature Transmitter plotted on the trend recorder of controller FIC1. Adjust the update rate of the trend recorder (sampling interval) in order to be able to monitor the transmitter signal over a period of 10 minutes approximately. Note: If the controller you are using as controller FIC1 is the LabVolt Process Control and Simulation Software (LVPROSIM), model 3674, refer to Figure B-5 of Appendix B for details of how to connect the LVPROSIM computer to the RTD Temperature Transmitter. On the I/O Interface, make sure the RANGE switch of ANALOG INPUT 1 is set at 5 V. In LVPROSIM, select Analog Input 1 from the Trend Recorder selection list to have the RTD Temperature Transmitter signal plotted on the trend recorder. Set the LVPROSIM sampling interval at 1500 ms. Access the Configure Analog Inputs window and set the minimum and maximum range values of Analog Input 1 at 25 and 55°C (77 and 131°F), respectively, which corresponds to the current measurement range of the RTD Temperature Transmitter. Set the filter time constant of this input at 0.5 second. Make sure the square root extracting function is unselected. Accept setup and return to main screen. 32 Resistance Temperature Detectors (RTDs) G 31. On the trend recorder, observe the RTD Temperature Transmitter output signal. Since no electrical power is applied to the heating element of the Heating Unit, theoretically, the water in the Column should be at ambient temperature. Assuming that the ambient temperature is below 25°C (77°F), the level of the RTD Temperature Transmitter signal should be at 0% of span on the trend recorder, since the minimum temperature the transmitter can detect has been adjusted to 25°C (77°F). Yet, you may observe that the RTD Temperature Transmitter signal is at some higher level, thermal energy being transferred to the recirculated water mainly from frictional resistance of the pump internal parts. G 32. On the Heating Unit, set the manual control knob to the mid position. On the trend recorder, observe what happens to the temperature of the water in the Column. Now that electrical power is applied to the heating element of the Heating Unit, thermal energy is transferred from this element to the recirculated water. Consequently, the temperature of the water should increase in the Column. Is this your observation? G Yes G No G 33. Let the temperature of the water in the Column increase to about 45°C (113°F), or 67% of span, then turn the manual control knob of the Heating Unit fully counterclockwise to remove electrical power from its heating element. According to the RTD Temperature Transmitter output signal on the trend recorder, did the temperature of the water in the Column increase linearly over time? How long did it take for the temperature to increase from the initial temperature to the final temperature of 45°C (113°F)? 33 Resistance Temperature Detectors (RTDs) G 34. On the Cooling Unit, turn the manual control knob fully counterclockwise. What happens to the temperature of the water in the Column? G 35. Allow the temperature of the water in the Column to cool down. According to the RTD Temperature Transmitter output signal, does the temperature of the water in the Column decrease linearly over time? Explain. G 36. Stop the variable-speed drive of the Pumping Unit by setting the output of controller FIC1 at 0%. G 37. Turn off the Pumping Unit, the Heating Unit, and the 24-V DC Power Supply by setting their POWER switch at O. G 38. Open valve HV1 of the Pumping Unit completely and let the water in the Column drain back to the reservoir. The Column can also be drained by disconnecting the end of the hose connected to the Cooling Unit inlet port and reconnecting it to either of the auxiliary return ports on the Pumping Unit. G 39. Disconnect the system. Return all leads, hoses, and components to their storage location. CAUTION! Hot water may remain in the hoses and components. Be careful not to allow water to enter the electrical components and their terminals upon disconnection of the hoses. G 40. Wipe off any water from the floor and the Process Control Training System. CONCLUSION In this exercise, you familiarized yourself with the operation of an RTD temperature transmitter in the fixed and variable calibration modes. You learned that, in the fixed calibration mode, the temperature measurement range is fixed and is equal to 0100°C (32-212°F). In the variable calibration mode, the temperature measurement range can be adjusted, and a maximum span of 30°C (54°F) can be obtained. Since this span is narrower than the 100°C (180°F) span of the fixed calibration mode, the variable calibration mode provides a greater measurement accuracy for any given transmitter output range. 34 Resistance Temperature Detectors (RTDs) REVIEW QUESTIONS 1. What is an RTD? How does an RTD work? 2. What are three metals commonly used for RTDs? What are the advantages and limitations of each metal? 3. Name and describe two important characteristics of RTDs. 4. How is the voltage produced across an RTD traditionally measured? 5. Why are RTDs available in three-wire version? Explain. 35 36 Sample Exercise Extracted from pH Process Control Exercise 2-1 pH Electrodes EXERCISE OBJECTIVES • • • • To explain how pH electrodes operate; To familiarize yourself with the components of the Process Control Training System; To operate the pH Transmitter in both the fixed and the variable calibration modes; To measure the pH of different solutions using the pH Probe. DISCUSSION The pH probe and the pH Transmitter of the Process Control Training System pH probes Probes used in pH measurement are usually made of glass because electric potential between its surfaces changes linearly with pH. Typical pH probes are made of two electrodes, one is the reference electrode providing a stable reference potential, and the other is the glass measurement electrode. The glass surface of the measurement electrode is coated with a thin layer of hydrated gel with a thickness that varies between 10 and 100 nanometers, depending on the type of electrode. The wire of the measurement electrode is immersed in a buffer solution containing Cl- ions. This buffer solution usually has a pH of 7. The reference electrode provides a reference potential to compare with the potential of the measurement electrode. The electrolyte solution of the reference electrode (usually potassium chloride) is in contact with the process through a junction (usually ceramic or Teflon). Ions migrate into the junction, establishing a diffusion potential. This configuration forms a galvanic half-cell. Since the potassium chloride solution can flow slowly through the junction, care must be taken to avoid it running out. For this reason, the pH probe should always be stored in a storage solution containing potassium chloride. Figure 2-9 shows the principal components of a typical pH glass electrode. 39 pH Electrodes Figure 2-9. Typical pH glass electrode. CAUTION! The pH probe of the Process Control Training System must be stored in a storage solution containing KCl to avoid damage. Refer to Appendix K for more information on the storage of the pH probe. When the pH probe is immersed in the process solution, an electric potential, E1, is created between the outer surface of the glass electrode and the process solution. An electric potential, E2, appears between the inner surface of the glass electrode and the chloride buffer solution as well as an electric potential, E3, between the electrolyte and the internal electrode. Hence, source voltage of the system is: Ei = E1 ! E2 ! E3 + E4 + E5 Where 40 E1 is the potential between the outer surface of the glass electrode and the process solution. E2 is the potential between the inner surface of the glass electrode and the chloride buffer solution. E3 is the potential between chloride buffer solution and the internal electrode. E4 is the potential between the electrolyte and the internal electrode of the reference electrode. E5 is the diffusion potential of the reference electrode. pH Electrodes To simplify, we will assume that E3 is approximately equal to E4 which is frequently the case. The potential E5 is very small and can be neglected. Thus: Ei = E1 ! E2 Figure 2-10 shows an equivalent electrical circuit representing some of the potentials and resistance values involved in a pH probe. Figure 2-10. Equivalent electrical circuit representing a pH probe. Where ET RT RG RR RC RS is the potential at the poles of the transmitter or signal converter. is the input resistance of the transmitter or signal converter. is the resistance of the electrode glass. is the resistance of the reference electrode. is the insulation resistance between the connecting cables. is the resistance of the process solution. Note: For the sake of simplicity, some small electrical resistance values and other correction terms have been neglected. The potential of an electrode is given by the Nernst equation, when adapting this equation for potential E1 and E2 the result is: 41 pH Electrodes Combining the last three equations, and given the fact that , we have: R is the universal gas constant (8.314472 JAK-1Amol-1). T is the temperature in Kelvins. F is the Faraday constant (9.6485309 x 104 CAmol-1). pHINNER is the pH value inside the glass electrode (usually equal to 7.0). pHOUTER is the pH value of the process solution. Where As shown in this equation, the pH measurement is also temperature dependant. Industrial pH probes are equipped with automatic temperature compensators to automatically correct this kind of error. For pH probes without an automatic compensator, a pH temperature error table such as Table 2-7 must be used for precise measurements. Using Ei, the voltage at the poles of the transmitter, ET, can be determined. The resistance values of RR and RS can be neglected for the calculation since they are very small compared to RT and RG (which is typically between 10 and 1000 MS). Thus, the voltage at the poles of the transmitter can be approximated as: 42 pH Electrodes pH Transmitter Figure 2-11. pH Transmitter. The following is a detailed description of the pH Transmitter terminals and adjustments (refer to Figure 2-11): Î POWER INPUT terminals: used to power the transmitter with a dc voltage of 24 V. Ï CALIBRATION SOURCE adjustment knob: sets the probe pH value to be simulated by the calibration source signal. This pH value can be adjusted between 0 and 12. Ð INPUT SELECTOR: selects between the actual probe signal or the simulated probe signal produced by the calibration source. Ñ CALIBRATION SELECTOR switch: places the 0-5 V and 4-20 mA OUTPUTS in either fixed or variable calibration mode. Ò ZERO and SPAN adjustment knobs: used in the variable calibration mode to set the pH value range for which the 0-5 V and 4-20 mA OUTPUTS will pass from minimum to maximum: – The ZERO knob sets the pH value for which the outputs will be minimum (0 V and 4 mA), i.e., the minimum pH value to be detected. The minimum pH value can be adjusted between 2 and 10. 43 pH Electrodes – The SPAN knob sets the pH value for which the outputs will be maximum (5 V and 20 mA), i.e., the maximum pH value to be detected. The maximum pH value can be adjusted between 2 and 7 units above the minimum pH value set by the ZERO knob. Ó CALibrated OUTPUT: provides a voltage proportional to the pH sensed by the probe or to the simulated probe signal produced by the calibration source, depending on the position of the INPUT SELECTOR switch. This output has a fixed calibration of 1 V per sensed pH unit. It will pass from 0 to 12 V when the actual or simulated pH value changes from 0 to 12. Ô 0-5 V and 4-20 mA OUTPUTS terminals: provide a voltage and a current proportional to the pH value sensed by the probe or proportional to the signal simulated by the calibration source, depending on the position of the INPUT SELECTOR switch. The calibration of the 0-5 V and 4-20 mA OUTPUTS can be either fixed or variable, depending on the position of the CALIBRATION SELECTOR switch: – In the fixed calibration mode (CALIBRATION SELECTOR at FIXED), the pH value range for which the outputs will pass from minimum to maximum is fixed at 0-12 pH unit. – In the variable calibration mode (CALIBRATION SELECTOR at VARIABLE), the pH value range for which the outputs will pass from minimum to maximum can be adjusted by means of the ZERO and SPAN adjustment knobs. Õ pH probe input connector: used to connect the pH probe to the transmitter. Ö Inlet/outlet and Probe Port: used to connect the Flow Chamber to a control loop. The port is used to insert the pH probe into the Flow Chamber. × pH probe: the pH probe itself. Procedure summary In the first part of the exercise, you will familiarize yourself with the operation of the pH Transmitter in the fixed calibration mode. In the second part of the exercise, you will familiarize yourself with the operation of the pH Transmitter in the variable calibration mode. In the third part of the exercise, you will build and operate a pH process setup and you will use the pH Transmitter to measure the pH of the solution in the Column. 44 pH Electrodes EQUIPMENT REQUIRED Refer to the Equipment Utilization Chart in Appendix A of the manual to obtain the list of equipment required to perform this exercise. PROCEDURE Operation of the pH Transmitter in the fixed calibration mode G 1. Get the pH Transmitter and the DC Power Supply from your storage area. Mount these components on the Work Surface. G 2. Power up the pH Transmitter. To do so, connect the POWER INPUT terminals of the transmitter to the 24-V DC Power Supply. G 3. Get the pH probe from your storage location. The probe should be stored into the Flow Chamber filled with storage solution. Leave the pH probe in the Flow chamber and connect it to the pH PROBE input of the pH Transmitter. Note: Refer to Appendix K for specific details on the storage and care of the pH probe. G 4. Make the following settings on the pH Transmitter: INPUT SELECTOR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . pH PROBE CALIBRATION SELECTOR . . . . . . . . . . . . . . . . . . . . . . . . . . FIXED This selects the pH probe signal as the transmitter input signal and places the transmitter OUTPUTS in the fixed calibration mode. G 5. Connect a dc voltmeter to the 0-5 V OUTPUT of the pH Transmitter. Since this output is in the fixed calibration mode, it generates a fixed voltage of 42 mV per sensed pH unit. G 6. Take the pH probe out of the Flow Chamber used for storage. Immerse the tip of the probe in a 100-ml beaker filled with about 30 ml of buffer solution pH 7.0. What is the voltmeter reading? 45 pH Electrodes G 7. Use the voltmeter reading to calculate the pH of the buffer solution. G 8. Further experiment with the operation of the transmitter in the fixed calibration mode: Note: To avoid contamination between the different solutions, rinse the tip of the probe with fresh water between each measurement (if available, use distilled or deionized water). – Fill a clean 100-ml beaker with about 30 ml of buffer solution pH 4.0; – Immerse the tip of the pH probe in the buffer solution. The 0-5 V OUTPUT voltage should decrease and stabilize at about 1.7 V, which, in the fixed calibration mode, corresponds to a pH value of 4.0; – Clean the 100-ml beaker and fill it with about 30 ml of buffer solution pH 10; – Immerse the tip of the pH probe in the buffer solution. The 0-5 V OUTPUT voltage should increase and stabilize at about 4.2 V, which corresponds to a pH value of 10.0. Record your observations below. Note: The 0-5 V OUTPUT of the pH Transmitter may stabilize at a slightly different voltage if the temperature of the measured solution is not 25 /C (77 /F), if the buffer solution has been contaminated with other chemicals, or if the pH Transmitter is not correctly calibrated. Note: The calibration of the pH Transmitter should be checked regularly. Refer to Appendix F for details on the calibration of the pH Transmitter. Operation of the pH Transmitter in the variable calibration mode Note: In the following steps, you will use the calibration source of the pH Transmitter to calibrate its 0-5 V OUTPUT so that the voltage at this output passes from 0.0 to 5.00 V when the signal from calibration source passes from a simulated pH value of 4.0 to a simulated pH value of 10.0, respectively. 46 pH Electrodes G 9. Make the following settings on the pH Transmitter: INPUT SELECTOR . . . . . . . . . . . . . . . . . . . . . . . . . . CAL. SOURCE CALIBRATION SELECTOR . . . . . . . . . . . . . . . . . . . . . . . VARIABLE ZERO adjustment knob . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . MAX. SPAN adjustment knob . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . MAX. This selects the calibration source signal as the transmitter input signal and places the transmitter OUTPUTS in the variable calibration mode. G 10. Set the probe pH value to be simulated by the calibration source of the transmitter at a pH value of 4.0. To do so, use a voltmeter to adjust the CALIBRATION SOURCE knob of the transmitter until you obtain a voltage of 4.00 V at the CAL. OUTPUT of the transmitter. G 11. While monitoring the voltage at the 0-5 V OUTPUT of the transmitter, turn the ZERO adjustment knob counterclockwise. Stop turning the knob as soon as the voltage ceases to decrease, which should occur around 0.01 V. Then, very slowly, turn the knob clockwise and stop turning it as soon as the voltage starts to increase. This sets the minimum pH value to be detected at 4.0 approximately. G 12. Now set the probe pH value to be simulated by the calibration source of the transmitter at a pH value of 10.0. To do so, use a voltmeter to adjust the CALIBRATION SOURCE knob of the transmitter until you obtain a voltage of 10.0 V at the CAL. OUTPUT of the transmitter. G 13. Adjust the SPAN knob in order to obtain a voltage of 5.00 V at the 0-5 V OUTPUT of the transmitter. This sets the maximum pH value to be detected at 10.0 approximately. G 14. Now that the pH Transmitter is calibrated, proceed to the next part of the exercise. Preliminary setup G 15. Get the Expanding Work Surface from your storage location and mount it vertically to the Main Work Surface (at an angle of 90°), if this has not already been done. 47 pH Electrodes G 16. Connect the system as shown in Figure 2-12, being careful not to modify the calibration settings just made on the pH Transmitter. Figure 2-13 shows the suggested setup. The speed of the variable-speed drive of the Pumping Unit will be controlled with the Set Point Device. The Metering Pumps will be controlled manually using the Metering Pump Drive. CAUTION! Mount the Chemical Tanks and the Column as shown in Figure 2-13. Place electrical components as far as possible from them. Failure to do so may result in water entering the modules upon disconnection of the hoses, which in turn might cause damage to electrical components. CAUTION! Mount the 24-V DC Power Supply and the pH Transmitter in such a manner that water cannot enter their components and electrical terminals upon disconnection of the hoses. CAUTION! Be careful, the water level in the Column can rise quite rapidly. If you are not familiar with the Pumping Unit, set the pump speed lower. Note: Refer to Figure B-1 of Appendix B for details on how to connect the Lab-Volt Process Control and Simulation Software (LVPROSIM), Model 3674, to the pH Transmitter, Model 6544, the Set Point Device, Model 6561, and the Metering Pump Drive, Model 6560. 48 pH Electrodes Figure 2-12. Measuring pH value with a pH Transmitter. 49 pH Electrodes Figure 2-13. Suggested setup for the diagram of Figure 2-12 (see Table next page for the detail of the components). Î : Chemical Tank Ï : Column Ð : Expanding Work Surface (Large) Ñ : Flow Chamber Ò : Work Surface Ó : Metering Pump Ô : Tray Õ : Metering Pump Drive Ö : pH Transmitter × : I/O Interface Note: Make sure the hose connected at the top of the Column is connected on the upper-right inlet. 50 pH Electrodes G 17. Make the following settings: On the Metering Pump Drive: S1 switch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 SC 1 manual control knob . . . . . . . turned fully counterclockwise S2 switch . . . . . . . . . . . . . . . . . . . . . . . . . . . . continuous mode S3 switch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 SC 2 manual control knob . . . . . . . turned fully counterclockwise S4 switch . . . . . . . . . . . . . . . . . . . . . . . . . . . . continuous mode On the pH Transmitter: SELECTOR switch . . . . . . . . . . . . . . . . . . . . . . . . . . pH PROBE CALIBRATION SELECTOR switch . . . . . . . . . . . . . . VARIABLE Note: The 0-5 V OUTPUT of the pH Transmitter should still be calibrated for a pH measurement range between 4.0 and 10.0. G 18. Turn on the Metering Pump Drive. Preparation of the CH3COOH solution G 19. Calculate the volume of Acetic Acid 5% (Vinegar) required to make 2000 ml of a 0.08 mol/l solution of CH3COOH. Note: Refer to the calculation made in Exercise 1-1 (steps 10 to 15). Required volume of Acetic Acid 5% (Vinegar): ml Note: Confirm this value with your instructor before proceeding further. G 20. Prepare 2000 ml of a 0.08 mol/l solution of CH3COOH. G 21. Fill the first Chemical Tank with the CH3COOH solution. G 22. Using the HMIG (Hazardous Materials Identification Guide) paper labels, identify the Chemical Tank with the name of the chemical (not the formula), the concentration, the date, your initials, and the possible hazard(s). G 23. Make sure all hoses, tubing, and electrical components are connected as shown in the connection diagram B-1 of Appendix B. 51 pH Electrodes CAUTION! To avoid water and chemical spills all over the Process Control Training System, make sure the pH probe is properly inserted into the port at the top of the Flow Chamber before starting the Pumping Unit. G 24. Once the equipment is set up as required, fill the Pumping Unit with approximately 12 liters (3.2 gallons) of water. CAUTION! Always make sure the reservoir of the Pumping Unit is filled with the proper amount of water (12 l/3.2 gal US) before turning on the Pumping Unit. Failure to do so might cause the pump to run dry, causing the pump seal to overheat and wear out prematurely. G 25. On the Pumping Unit, adjust valves HV1 to HV3 as follows: – – – Close HV1 completely (turn handle fully clockwise); Close HV2 completely (turn handle fully clockwise); Set HV3 for directing the full reservoir flow to the pump inlet (turn handle fully clockwise). G 26. Turn on the Pumping Unit by setting its POWER switch at I. G 27. Adjust the pump speed to 60-70% of its maximum by setting the Set Point Device output between 3.00 V and 3.50 V. G 28. Allow the level of water to rise in the Column until it reaches 38 cm (15 in). CAUTION! Be careful, the water level in the Column can rise quite rapidly. If you are not familiar with the Pumping Unit, set the pump speed lower. Placing the system in water recirculating mode G 29. Once the proper water level is reached, rapidly adjust HV3 to stop water flow from the reservoir and direct the full return flow to the pump inlet (turn the handle fully counterclockwise). G 30. The Column is now in recirculating mode. Water is pumped to the Pumping Unit outlet, passes through the Flow Chamber, goes into the Column, and 52 pH Electrodes flows out of the Column through one of the bottom outlets to be directed to the pump inlet again. G 31. On the Pumping Unit, open HV2 and let the water level in the Column decrease to 15 cm (6 in). As soon as the water reaches the proper level, close HV2. Measuring pH with the pH probe G 32. Make sure that the water is properly circulating through the system and that the Metering Pump connected to the first Chemical Tank is not running (i.e. the SC 1 manual control knob is turned fully counterclockwise). G 33. Have the signal at the 0-5 V OUTPUT of the pH Transmitter plotted on the trend recorder. Adjust the update rate of the trend recorder (sampling interval) in order to be able to monitor the transmitter signal over a period of approximately 5 minutes. Note: Refer to Figure B-1 of Appendix B for details on how to connect the LVPROSIM computer to the pH Transmitter. On the I/O Interface, make sure the RANGE switch of ANALOG INPUT 1 is set at 5 V. In LVPROSIM, select Analog Input 1 from the Trend Recorder selection list to have the pH Transmitter signal plotted on the trend recorder. Set the LVPROSIM sampling interval at 500 ms. Access the Configure Analog Inputs window and set the minimum and maximum range values of Analog Input 1 at a pH value of 4 and 10 respectively, which corresponds to the measurement range previously set on the pH Transmitter. Set the filter time constant of this input at 0.5 second. Make sure the square root extracting function is unselected. Accept setup and return to the main screen. G 34. On the trend recorder, observe the pH Transmitter output signal. Since no acid has been added to the water in the column, the pH value should be around 7.0 Note: If water from the public water supply system is used, the measured pH value could easily vary between 6.5 and 8.5. Assuming that the pH value of the water is 7, the level of the pH Transmitter signal should be at 50% of span on the trend recorder, since the minimum and maximum pH values the transmitter can detect have been set to 4 and 10 respectively. If the pH of the water is not 7, you will have to keep this information in mind while using the Process Control Training System. It can indicate the presence of mineral salts dissolved in the water. Those salts can sometimes 53 pH Electrodes act as buffers, giving titration curves slightly different from the one theoretically expected. G 35. On the Metering Pump Drive, make sure that the S2 switch is set to the continuous mode. Set the SC 1 manual control knob to the mid position. This allows the 0.08 mol/l solution of acetic acid to be continuously added to the water in the Column. On the trend recorder, observe what happens to the pH of the water. The pH of the water should decrease. Is this your observation? G Yes G No G 36. Let the pH value of the water in the Column decrease to 5, then turn the SC 1 manual control knob of the Metering Pump Drive fully counterclockwise to stop the Metering Pump and stop the flow of acetic acid solution from the Chemical Tank. G 37. According to the pH Transmitter output signal on the trend recorder, did the pH of the water in the Column decrease linearly over time? G Yes G No G 38. How long did it take for the pH to decrease from its initial value to the final value of 5? G 39. Stop the variable-speed drive of the Pumping Unit by setting the Set Point Device output to 0.00 V. G 40. Open valve HV1 of the Pumping Unit completely and let the water in the Column drain back to the reservoir. G 41. Turn off the Pumping Unit and the 24-V DC Power Supply by setting their POWER switch at O. G 42. Disconnect the hoses of the Pumping Unit from the system and safely dispose of the solution in the reservoir. 54 pH Electrodes CAUTION! Before disposing of the reservoir contents, always neutralize the solution to avoid acid or alkaline products from being released into the environment. After neutralization, only water and salts should remain in the reservoir. Refer to the neutralization procedure in Appendix I for details. G 43. Disconnect the system. Return all leads, hoses, and components to their storage location. CAUTION! Water may remain in the hoses and components. Be careful not to allow water to enter the electrical components and their terminals upon disconnection of the hoses. G 44. Thoroughly wash the glassware. G 45. Store the pH probe in the flow chamber filled with storage solution. Refer to Appendix K for details. G 46. Wipe up any water from the floor and the Process Control Training System. G 47. Remove and dispose of your protection gloves before leaving the classroom. Carefully wash your hands. CONCLUSION In this exercise, you familiarized yourself with the operation of a pH Transmitter in the fixed and variable calibration modes. You learned that in the fixed calibration mode, the pH value measurement range is fixed and is equal to 0-12. In the variable calibration mode, the pH value measurement range can be adjusted and a span of 6 pH units can be obtained. Since this span is narrower than the 12 pH unit span of the fixed calibration mode, the variable calibration mode provides a greater measurement accuracy for any given transmitter output range. Finally, you learned how to operate a pH process setup and how to use the pH Transmitter to measure the pH of a solution. 55 pH Electrodes REVIEW QUESTIONS 1. How does a pH glass electrode work? 2. Which type of ion is usually present in the buffer solution inside the glass electrode? 3. What is the pH of the buffer solution inside the glass electrode? 4. Why should you store the pH probe in a KCl solution instead of distilled water? 5. Referring to the Nernst equation, which physical properties influence measurements taken with the type of pH probe described in this exercise? 56 Other Sample Extracted from Pressure, Flow, and Level Process Control Unit Test 1. Volumetric flow rate can be measured in a. b. c. d. cubic meters per second (m3/s). liters per minute (l/min). gallons US per minute (gal US/min). All of the above 2. Which of the following flow meters operates by increasing the size of its orifice as the flow rate increases? a. b. c. d. The venturi tube The turbine flow meter The rotameter The orifice plate 3. The graduations on a rotameter used to measure the flow rate of liquids are valid only for a. b. c. d. a given viscosity and operating pressure. a given mass density and specific gravity. a given pressure loss and temperature. a given mass density and pressure loss. 4. The pulsed signal produced by a paddle wheel flow meter has a frequency which is directly proportional to a. b. c. d. the rotation speed of the paddles. the intensity of the infrared light beam generated internally. the flow rate of the liquid. Both (a) and (c) 5. According to Bernouilli's principle, when a liquid enters a restriction, a. b. c. d. it accelerates, causing the pressure to increase. it accelerates, causing the pressure to decrease. it decelerates, causing the pressure to increase. it decelerates, causing the pressure to decrease. 6. The pressure drop produced by a differential-pressure flow meter is a. b. c. d. directly proportional to the area of its restricting part. inversely proportional to the flow rate through its restricting part. directly proportional to the square of the flow rate through its restricting part. inversely proportional to the mass density of the liquid. 59 Unit Test (cont’d) 7. Differential-pressure flow meters produce a permanent pressure loss which a. causes the pressure at the outlet port of the meter to be always less than the pressure at the inlet port. b. is due to the fact that some portion of the kinetic energy of the liquid is lost as heat from friction between the liquid and the restricting part of the meter. c. determines the amount of power dissipated as heat by the meter. d. All of the above 8. The pressure of the liquid flowing through an orifice plate flow meter reaches a minimum a. b. c. d. near the entrance of the orifice plate. as it passes through the orifice of the orifice plate. at the vena contracta. at the outlet port of the meter. 9. The section of a venturi tube where the pressure of the liquid is constant and minimum is a. b. c. d. the convergent inlet section. the throat section. the divergent outlet section. the outlet pipe section. 10. The permanent pressure loss caused by a venturi tube a. b. c. d. 60 is much lower than that caused by an orifice place of equivalent size. is as low as 10 to 25% of the pressure drop it produces. is typically 60 to 80% of the pressure drop it produces. Both (a) and (b) Instructor Guide Sample Extracted from Pressure, Flow, and Level Process Control Pressure, Flow, and Level Process Control EX. 5-1 PRESSURE PROCESS CONTROL ANSWERS TO PROCEDURE QUESTIONS G 16. Since the proportional band is large (proportional gain is low), the voltage takes a relatively long time to stabilize (overdamped response). Moreover, a large residual error remains at equilibrium, as Figure 5-1 (a) shows. Figure 5-1. G 19. The Pressure Transmitter output voltage stabilizes quicker and the residual error has decreased, as Figure 5-1 (b) shows. G 20. Small continuous variations should appear in the response of the Pressure Transmitter output voltage at a proportional band of about 15%, as Figure 5-2 shows. 63 Pressure, Flow, and Level Process Control Figure 5-2. G 22. The response of the Pressure Transmitter output voltage is overdamped due to the long integral time setting. No residual error remains once the process has reached steadystate, due to the addition of integral action. This is illustrated in Figure 5-3. 64 Pressure, Flow, and Level Process Control Figure 5-3. G 23. The Pressure Transmitter output voltage should start to overshoot the setpoint at an integral time of about 0.0125 min/rpt, as Figure 5-4 shows. 65 Pressure, Flow, and Level Process Control Figure 5-4. G 24. Derivative action does not decrease the overshooting of the Pressure Transmitter output voltage. Worse still, it tends to increase the small random fluctuations in the controller output, as Figure 5-5 shows. This indicates that derivative action is unnecessary with this process. 66 Pressure, Flow, and Level Process Control Figure 5-5. G 25. With a proportional band of 30%, an integral time of 0.03 min/rpt, and a derivative time of 0.000 min, the controller tuning remains acceptable over a broad range of setpoints, as Figure 5-6 shows. 67 Pressure, Flow, and Level Process Control Figure 5-6. G 27. With a proportional band of 30%, an integral time of 0.03 min/rpt, and a derivative time of 0.000 min, the closure of valve HV1 results in oscillation of the Pressure Transmitter output voltage, as Figure 5-7 (a) shows. This problem can be remedied by increasing the proportional band at 60% and the integral time at 0.04 min/rpt, as Figure 5-7 (b) shows. 68 Pressure, Flow, and Level Process Control Figure 5-7. ANSWERS TO REVIEW QUESTIONS 1. The integral action of the controller should be increased. 2. The proportional and/or integral action of the controller can be decreased. 3. Decreasing the proportional band will increase the integral action of the controller. 4. Because the pressure process is inherently a fast responding process. Consequently, derivative action does not speed up the response of the process, it does not reduce overshooting of the controlled variable, and it tends to amplify the small random fluctuations in the controller output. 5. The trial and error tuning method has the following advantages: it does not require that the characteristics of the process be known, and it does not require that the process be brought into sustained oscillation. However, the trial and error method can be difficult to achieve for inexperienced operators because a 69 Pressure, Flow, and Level Process Control change in tuning constant tends to affect the action of all three controller modes. For example, increasing the integral action will increase the overshooting, which in turn will increase the rate of change of the error, which in turn will increase the derivative action. 70 Bibliography Byron Bird R., Stewart W.E, and Lightfoot E.N. Transport Phenomena, New York: John Wiley & Sons, 1960 ISBN 0-471-07392-X Chau, P. C. Process Control: A First Course with MATLAB, Cambridge University Press, 2002. ISBN 0-521-00255-9 Coughanowr, D.R. Process Systems Analysis and Control, Second Edition, New York: McGraw-Hill Inc., 1991 ISBN 0-07-013212-7 Liptak, B.G. Instrument Engineers' Handbook: Process Control, Third Edition, Pennsylvania, Chilton Book Company, 1995 ISBN 0-8019-8542-1 Liptak, B.G. Instrument Engineers' Handbook: Process Measurement and Analysis, Third Edition, Pennsylvania, Chilton Book Company, 1995 ISBN 0-8019-8197-2 Luyben, M. L. and Luyben, W. L. Essentials of Process Control, McGraw-Hill Inc., 1997. ISBN 0-07-039172-6 Luyben, W.L. 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