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    1. What is good control? What is the function of quarter decay ratio?The most commonly defined criteria for a process control system to be described as a

    good control system as described below:

    (i) The decay ratio should be 0.25, where decay ratio is defined as the ratio of thesecond peak overshoot and the first peak overshoot.

    (ii) The integral of the square error (ISE) should be minimum. The ISE is defined as: .

    (iii) The integral of the absolute value of error (IAE) should be minimum. The IAE isdefined as:

    .(iv) The integral of time-weighted absolute error (ITAE) should be minimum. The ITAE

    is defined as:

    .

    Function of quarter decay ratio:

    The decay ratio is defined as the ratio of the second peak overshoot to the first peak

    overshoot of a system having transient response. The Ziegler-Nichols, Cohen-Coon and

    many other controller tuning is based on tuning the controller to achieve the quarter

    decay response. The characteristic of the quarter decay response is that each oscillation

    has an amplitude that is one-fourth of the previous oscillation. It is illustrated in the

    following diagram.

    2. What are the basic functions of pneumatic controller and which are the basicparameters of pneumatic controller? Describe the pneumatic PI controller with

    proper diagram.

    Principles and working parameters of Pneumatic Controllers:

    In a pneumatic system, information is carried by the pressure of gas in a pipe. If we havea pipe of any length and raise the pressure of gas in one end, this increase in pressure

    will propagate down the pipe until the pressure throughout is raised to the new value.

    The pressure signal travels down the pipe at a speed in the range of the speed of sound

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    in the gas (say, air), which is about 330 m/s (1083 ft/s). Thus, if a transducer varies gas

    pressure at one end of a 330-m pipe (about 360 yd) in response to some controlled

    variable, then that same pressure occurs at the other end of the pipe after a delay of

    approximately 1 sec. For many processescontrol installations, this delay time is of no

    consequence

    In general, pneumatic signals are carried with dry air as the gas and signal information

    adjusted to lie within the range of 3-I5 psi. In SI unit systems, the range of 20-100 kPa is

    used. There are three types of signal conversion of primary interest. This is usually

    derived from a regulated air supply of 20-30 psi. As usual, we use the English system

    unit of pressure because its use is so widespread in the process-control industry.

    Eventual conversion to the SI unit of N /m2 or Pa will require some alteration in scale (of

    measurement) to a range of 20 to 100 kPa.

    Pneumatic proportional-integral controller:

    Pneumatic proportional-integral controller control mode is also implemented using

    pneumatics by the system shown in Figure.

    In this case, an extra bellows with a variablerestriction is added to the proportional

    system. Suppose the input pressure shows a

    sudden increase. This drives the flapper

    toward the nozzle, increasing output pressure

    until the proportional bellows balances the

    input as in the previous case. The integral

    bellows is still at the original output

    pressure, because the restriction prevents

    pressure changes from being transmitted immediately. As the increased pressure on the

    output bleeds through the restriction, the integral bellows slowly moves the flapper closer

    to the nozzle, thereby causing a steady increase in output pressure (as dictated by theintegral mode). The variable restriction allows for variation of the leakage rate, and hence

    the integration time.

    3. Explain with block diagram the feed-forward control and ratio control. What aretheir differences?

    Feedforward Control:

    Conventional feed-back loops can

    never achieve perfect control. It is

    difficult for the conventional loops

    to keep the process output

    continuously at the desired setpoint

    value in the presence of load or

    setpoint changes. This is because of

    feedback controller reacts only after

    it has detected a diversion in the

    value of the output from the desired

    setpoioint. Unlike feedback systems

    a feed-forward control configuration

    measures the disturbance directly and takes control action to eliminate its impact on theprocess output. Feed-forward controllers have the theoretical potential for perfect control.

    In feed-forward control strategy, information concerning one or more conditions that

    might disturb the control variable is converted into corrective action to minimize

    Controller Disturbance

    Process Controlled

    OutputManipulated

    Variable

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    deviation of control variable. The signals which have the potential to upset the process

    are transmitted to the controller. The controller makes appropriate computation on the

    signals and calculates new values for the manipulated signals and sends those to the

    final control element, therefore, the control variable remains unaffected in spite of load

    changes. The generalized block diagram of feed-forward control system is shown in the

    figure alongside.

    Ratio Control:

    Ratio control is used to ensure that two or more

    flows are kept a constant ratio even if the flows are

    changing. Ratio control is special type of feed-

    forward control where two disturbances are

    measured and held at constant ratio with each

    other. Sometimes the control of one of the streams

    becomes difficult, in which case its flow is

    measured; and then, the flow rate of the other

    stream is controlled. The stream whose flow rate is

    uncontrollable is called wild stream.

    The configuration of a basic ratio-control is described below. In this configuration we

    measure both the flow rates, and take their ratio. The ratio is compared with the desired

    ratio, and the deviation between the two is used to generate the actuating signal for the

    ratio controller.

    Difference between feed forward and ratio control:

    In feed-forward control strategy, information concerning one or more conditions that

    might disturb the control variable is converted into corrective action to minimize

    deviation of control variable. Whereas, ratio control is special type of feed-forward controlwhere two disturbances are measured and held at constant ratio with each other.

    4. Describe the controller tuning method of Harriot.When it is undesirable to allow sustained oscillations, the Harriotts method of controller

    tuning is used. The process is characterized by finding the gain at which the system has

    a damping ratio of , and the frequency of oscillation at this point. Similar to the Ziegler-

    Nichols method, the controller parameters are calculated from the gain and oscillation

    frequency.

    is the proportional gain for damping ratio of .is the period of oscillations in minutes.

    Advantages and Disadvantages: In general, there are two major disadvantages to thedamped oscillation methods. First, it is essentially a trial-and-error method, since several

    values of gain must be tested before the ultimate gain or the gain to give a 1/4 decay

    ratio are to be determined. To make one test, especially at values near the desired gain, it

    is often necessary to wait for the completion of several oscillations before it can be

    Type ofController

    P 1.1PI 1.1 /2.6

    PID 1.1 /3.6 /9

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    determined whether the trial value of gain is the desired one. Second, while one loop is

    being tested in this manner, its output may affect several other loops, thus possibly

    upsetting an entire unit. While all tuning methods require that some changes be made in

    the control loop, other techniques require only one and not several tests, unlike the

    closed-loop methods. Also, if the tuning parameters are too aggressive, the expected

    response can be obtained by increasing the proportional band (or decreasing the

    proportional gain). The integral and derivative settings probably need to be modified. The

    proportional gain has to be reduced to 3.5 to have a quarter of amplitude decay.

    5. What is the valve characteristics?All control valves are classified by relationship between the valve stem position and the

    flow rate through the valve. Control valves exhibit and Inherent characteristic and

    install or effective characteristic.

    Inherent characteristic: This control valve characteristic is assigned with the assumption

    that the set point indicates the extent of the valve opening and that the pressure

    difference is determined by the valve alone.

    (a) Quick Opening: In this type, the relationship between flow and valve opening isapproximately linear up to 60-70% of valve opening. After this limit, the flow

    does not change rapidly with the change in the valve opening.

    (b)Linear Opening: The flow is directly proportional ro the valve opening for aconstant pressure drop. The relationship thus can be expressed as a straight

    line. It is given as:

    Where,

    Stem position (m) Maximum stem position (m) Flow rate (m3/sec) Maximum flow rate (m3/sec)

    (c) Equal percentage: Equal increments of valve movements produces an equalpercentage changes in inflow. The gain of equal percentage valve is directly

    proportional to flow through the valve. Gain in low when valve is nearly closed

    and gain is high when valve is nearly open.

    Installed / Effective Characteristic: The control valve when installed in a process pipeline

    downstream and upstream equipment will exhibit a different flow rate stem position

    relation and is called installed or effective characteristic.

    6. Describe the basic block diagram of PLC. What is ladder logic? Explain with aproper example.

    A Programmable Logic Controller (PLC) can be defined as a digital electronic device that

    use a programmable memory to storte instructions and implement specific functions

    such as logic, sequencing, coiunting, and arithmetic to control machines and processes.

    The basic parts of a PLC are described

    below:

    (i) Processor Module: It is thebrain of the PLC system. The

    intelligence of programmable

    controllers is derived from the

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    microprocessors which have tremendous computing and control ability. The

    functions of the programming module includes scanning, program

    execution, peripheral and external device communication and self-

    diagnostics.

    (ii) Input Module: There are many types of input modules to choose from.Choice of the input module depends on the application of the PLC. Most

    commonly used inputs are limit switches, proximity switches, and push

    buttons. Nature of the inputs can be classified as Analog/Digital, Low/High

    frequency, and Maintained/Momentary.

    (iii) Output Module: Output modules can be used for devices such as solenoids,relays, contractors, pilot lamps, and LED outputs.

    (iv) Addressing Scheme: Each of the input and ouput devices used in the PLCare identified with a unique address for exchange of data, which needs to be

    uniquely addressed during the programming of a PLC device.

    (v) Programming Unit: It is an external, electronic, handheld device which canbe connected to the processor of the PLC when programming changes are

    needed. Once the program is debugged, the programming unit is

    disconnected; and PLC can operate the process according to the ladder

    diagram or the statement list.

    Ladder Logic:

    Ladder Logic Programming is a graphical representation of

    the program designed to look like a relay logic. It uses

    symbols in horizontal rows called rungs, to represent

    inputs and outputs. A program in this designing scheme

    resembles a ladder, and is therefore, known as the ladder

    diagram.

    For example, the following diagram the ladder logicrealization where two limit switches connected in series are used to control a

    solenoid.

    8. (a) What do you mean by controller tuning? What are the different methods of

    controller tuning?

    The mechanism of selecting different parameters of controllers in a control loop so

    that the process variable may be maintained at the desired set-point value without

    any fluctuations, is called tuning of controller.

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    The most commonly used tuning methods are summarized below:

    (b) What are the basic tuning criteria of a controller?

    The most commonly defined criteria for a process control system to be described as

    a good control system as described below:

    (i) The decay ratio should be 0.25, where decay ratio is defined as the ratio of thesecond peak overshoot and the first peak overshoot.

    (ii) The integral of the square error (ISE) should be minimum. The ISE is definedas:

    (iii) The integral of the absolute value of error (IAE) should be minimum. The IAE

    is defined as:

    (iv) The integral of time-weighted absolute error (ITAE) should be minimum. TheITAE is defined as:

    Where e is defined as the generalized error, such that (d)Explain the tuning criteria of Ziegler-Nicholls method.

    The Ziegler-Nichols technique of controller tuning is also called Ultimate Cycling

    Method is based on adjusting a closed loop until steady oscillations occur.

    Controller settings are then based on the conditions that generate the cycling. This

    method is based on frequency response analysis.

    Unlike the process reaction curve method which uses data from the open-loop

    response of a system, the Ziegler-Nichols tuning technique is a closed-loop

    procedure. It goes through the following steps:

    (i) Bring the system to the desired operational level

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    (ii) Reduce any integral and derivative actions to their minimum effect(iii) Using proportional control only and with the feedback loop closed, introduce

    a set point change and vary proportional gain until the system oscillates

    continuously. The frequency of continuous oscillation is the cross over

    frequency .Let be the amplitude ratio of the systems response at thecross over frequency.

    (iv) Compute the following two quantities :

    (v) Using the values of & , Ziegler & Nichols recommended the followingsettings for feedback controllers.

    Proportional Proportional-Integral Proportional-Integral-Derivative

    The settings above reveal the rationale of the Ziegler-Nichols methodology.

    (i) For proportional control alone, use a gain margin equal to 2(ii) For PI control use a lower proportional gain because the pressure of the

    integral control mode introduces additional phase lag in all frequencies with

    destabilizing effects on the system. Therefore lower maintainsapproximately the same gain margin.

    (iii) The presence of the derivative control mode introduces phase lead with

    strong stabilizing effects in the closed-loop response. Consequently the

    proportional gain for a PID controller can be increased withoutthreatening the stability of the system.9. (a) What is process characteristics? Write the definition of manipulated variable,

    load variable and control variable with proper examples.

    Process Characteristics

    A process is defined as a progressive operation that consists of a series of

    controlled actions or movements systematically directed towards a desired result.

    The features of a process are usually measured by process variables. The control of

    process variables is achieved by controllers (hardware elements or softwareprograms) and final control elements like control valves.

    The processes are situated in the production environment and are affected by time-

    space aspects. These aspects determine the character of the process. The five main

    process characteristics are: speed (slow/fast); spacing (lumped/distributed);

    continuity (continuous/discrete); periodicity (cyclic/acyclic) and determinacy

    (deterministic/stochastic) Time-space aspects also influence the complexity of a

    particular process.

    The Manipulated variable, Load variable and Controlled variable are defined as:

    (i) Manipulated variable:is the one that can be changed in order to maintain the

    controlled variable at the set point value. In other words, the variable chosen to

    control the system's state is termed the manipulated variable. It is also called

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    sometimes as controlling variable. Examples of manipulated variables are coolant

    flow, fuel flow, feed water flow etc.

    (ii) Load variables: are those variables that cause disturbances in the process.

    They are also called disturbances. The load variable may change either

    continuously or sporadically with some function of time. Sometimes it is fixed and

    not a function of time. Examples are feed rate, feed composition, steam header

    pressure, coolant temperature etc.

    (iii) Controlled variable: is the one that must be maintained precisely at the set

    point. Typically, the variable chosen to represent the state of the system is termed

    the controlled variable. Examples of controlled variables are temperature,

    pressure, flow rate, level, vacuum pressure, concentration, density etc.

    (b) What is the basic process control loop? Explain each block with proper

    example.

    Process A process is defined as a progressive operation that consists of a series ofcontrolled actions or movements systematically directed towards a desired result.

    Measurement To effect control of a variable in a process, we must have

    information on the variable itself. Such information is found by measuring the

    variable. In general, a measurement refers to the conversion of the variable into

    some corresponding analog of the variable, such as a pneumatic pressure, an

    electrical voltage, or current. A sensor is a device that performs the initial

    measurement and energy conversion of a variable into analogous electrical or

    pneumatic information. Further transformation or signal conditioning may be

    required to complete the measurement function.

    ErrorThe difference between the process output and the desired setpoint value is

    the error that is detected by the error detector.

    ControllerThe next step in the processcontrol sequence is to examine the errorand determine what action, if any, should be taken. The controller requires aninput of both a measured indication of the controlled variable and a representationof the reference value of the variable, expressed in the same terms as the measuredvalue. The reference value of the variable, you will recall, is referred to as thesetpoint. Evaluation consists of determining action required to bring thecontrolled variable to the setpoint value.

    Final Control Element The final element in the processcontrol operation is thedevice that exerts a direct influence on the process; that is, it provides thoserequired changes in thecontrolled variable to bring itto the setpoint. This elementaccepts an input from thecontroller, which is thentransformed into someproportional operationperformed on the process.

    Figure alongside shows ageneral block diagramconstructed from theelements defined previously. The controlled variable in the process is

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    denoted by c in this diagram, and the measured representation of thecontrolled variable is labeled b. The controlled variable setpoint is labeled r,for reference.The error detector is a subtracting-summing point that outputs an errorsignal to the controller for comparison and action.

    10. (a) Describe the construction and working principle of pneumatic control valve.

    The pneumatic valve is the most commonly used final control element. It is a

    system that exhibits inherent second order dynamics.

    Consider a typical pneumatic valve shown in Fig. The position of the stem (or

    equivalently of the plug at the end of the stem) will determine the size of the

    opening for flow and consequently the quantity of the flow (flow rate).The position

    of the stem is determined by the balance of all forces acting on it. These forces are:

    Force exerted by the compressed air at the top of the diaphragm; pressure is the signal that opens or closes the valve & is the area of the diaphragm.

    Force exerted by the spring attached to the stem & the diaphragm K is theHookes constant for the spring & x is the displacement, it acts upward.

    Frictional force exerted upward & resulting from the close contact of thestem with valve packing; is the friction coefficient between stem & packing.

    Apply Newtons law and take

    ()

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    ( )

    Let and and take

    The last equation indicates that the stem-position follows inherent second-orderdynamics. The transfer function is

    Usually, and as a result, the dynamics of a pneumatic valve can beapproximated by that of first-order system.

    (b) What are and? Explain their relationship.One of the most useful factors to determine the size of a control valve in the flow

    coefficient or factor (or factor). Practically all control valve manufacturessupply factors for their valves. These factors form the basis for all calculations.

    The flow coefficient indicates the amount of flow the control valve can handle under

    a given pressure drop across the control valve.

    Factor: The flow coefficient is defined as the flow rate of water in gallons perminute at 60

    F through a valve at maximum opening with a pressure drop of 1 psi

    measured in the inlet & outlet pipes directly adjacent to the valve body.

    Factor: Whenever the flow coefficient is mentioned in metric units, it is denotedby the symbol which is defined as the flow rate of water in /hour at about30C flowing through the fully opened control valve at a pressure drop of 1kg/across the control.

    The following relationship between & can generally be used. The flow coefficient is determined by the manufacturer for various types & sizes of

    valves by actual experiments with water. The flow coefficient for 100% valve

    opening is termed as (or ) of the particular valve size & the variation of (or) at different valve openings is given in the form of a graph, which is termed asvalve characteristic.

    (c) What are the valve selection criteria?

    The selection of control valves for a particular application depends on many

    variables; such as the corrosive nature of the fluid, temperature of operation,

    pressures involved, high or low flow velocities, volume of flow, and the amount of

    suspended solids.

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    Careful attention must be paid to the system requirements and manufacturers

    specifications, only then can a careful valve selection be made. Some of the factors

    affecting the choice of valves are as follows:

    (i) Type of valve for two-way or three-way fail-safe considerations, and so on.(ii) Valve size from flow requirements; care must be taken to avoid both

    oversizing and under sizing.

    (iii) Materials used in the valve construction, considering pressure, size, andcorrosion.

    (iv) Materials used in valves range from PVC to brass to steel.(v) Tightness of shutoff: Valves are classified by quality of shutoff by leakage at

    maximum pressure. Valves are classified into six classes depending on

    leakage from 0.5 percent of rated capacity to 0.15 mL/min. for a 1-in dia.

    valve.

    (vi) Acceptable pressure drop across the valve.(vii) Valve body for linear or rotary motion, i.e., globe, diaphragm versus ball,

    butterfly, and so forth.

    (viii) Percentage travel versus flow characteristics plus loop-and-processcharacteristics.(ix) Maximum permissible noise level.(x) Viscosity of fluid.

    11. (a) Mention the advantages and disadvantages of cascade control.

    The principal advantages of cascade control are the following:

    (i) Disturbances occurring in the secondary loop are corrected by thesecondary controller before they can affect the primary, or main, variable.

    (ii) The secondary controller can significantly reduce phase lag in thesecondary loop, thereby improving the speed of response of the primary

    loop.

    (iii) Gain variations due to nonlinearity in the process or actuator in thesecondary loop are corrected within that loop.

    (iv) The secondary loop enables exact manipulation of the flow of mass orenergy by the primary controller.

    The disadvantages are:

    (i)

    Cascade control cannot be employed indiscriminately; only when a suitableintermediate variable can be measured does this method of control fit in

    properly

    (ii) Cascade action fails to yield the desired results if the inner loop is closedaround the largest time constant of the part of the process. In fact, cascade

    control is effective only when the secondary time constant is smaller than

    the primary time constant.

    (b) Why is the feed-forward control better than the feed-back control?

    The advantages of a feedforward control over a feedback control are as follows:

    (i) Feedforward control scheme compensates for disturbances before they affectthe process, whereas the feedback control waits until the disturbance has

    affected the process before taking action.

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    (ii) Feedforward control system can improve the reliability of the feedbacksystem by reducing the deviation from setpoint.

    (iii) The feedback system is susceptible to disturbances when the process is slowand when significant dead-time is present. On the other hand, the

    feedforward control scheme offers noticeable advantages for slow processes

    with significant dead-time.

    (c) What is multivariable control? Explain with a diagram.

    The control system in which there is only one output of the interest is called single

    variable system. But in many practical applications more than one variables are

    involved. A control system with multiple inputs and multiple outputs in called a

    multivariable system. The block diagram representation of a multivariable control

    system is shown in the figure. The part of the system which is required to be

    controlled is called plant. The controller provides proper controlling action

    depending on the reference inputs. There are reference inputs .

    There are

    output variables

    . The values of these variables

    represent the performance of the plant. The control signals produced by the

    controller are applied to the plant. With the help of feedback elements the closed

    loop control of the plant is also possible. Due to the feedback, the controller takes

    into account the actual output values to decide the control signals.

    In case of multivariable systems,

    sometimes it is observed that a

    single input considerably affects

    more than one outputs. The system

    is said to be having strong

    Interactions or coupling. This

    coupling is nothing but the

    disturbances for the separate

    systems. The interactions inherently

    present between inputs and outputs

    can be cancelled by designing a decoupling controller. Thus the resulting

    multivariable system is considered to have proper number of single input single

    output systems and the controller is designed for each system. The other way is to

    design a controller which will take care of all the inherent interactions present in

    the multivariable system. In multivariable linear control system, each input is

    independently considered. Only one input and one output is considered and the

    total effect on any output because of all the inputs acting simultaneously is

    determined by addition of the outputs due to each input acting alone. Thus law of

    superposition is used to analyze multivariable linear control systems.

    12. Write short notes on the following topics:

    (a) Process Capacitance

    Definition:The Capacitance of a process is a measure of its ability to hold energy

    with respect to a unit quantity of some reference variable. It is related to capacitybut is not the same thing two processes with the same capacity might have very

    different capacitances.

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    Principles of large capacitance: Two principles emerge relating capacitances to

    control in the face of load changes:

    Large Capacitance tends to keep the controlled variable constant despiteload changes.

    Large Capacitance tends to make it difficult to change the variable to a newvalue.

    Effects of large capacitance: The overall effect of large capacitance on control is

    generally favorable, but it does introduce a time lag between control action and

    result.

    When a liquid is heated in a vessel, it takes some time for the liquid to reach a

    higher temperature after the heat supply is increased. How much time it takes

    depends primarily on the thermal capacitance of the liquid relative to the heat

    supply.

    Capacitance does influence the corrective action required of an automatic

    controller, and so it is a major factor in the analysis of any process and control

    loop.

    Heater Example: Both the heaters shown in figure are used to raise the

    temperature of the liquid coming in. In heater A, heat is applied to a jacketed vessel

    containing a considerable amount of liquid. The relatively large mass of the liquid

    exercises a stabilizing

    influence, and resists

    changes in temperature

    which might be caused by

    variation in the rate of

    flow, minor variations in

    heat input, or suddenchanges in ambient

    temperature.

    Heater B illustrates a high

    velocity heat exchanger.

    The rate of flow through

    this heater may be identical with that of heater A, but a comparatively small

    volume is flowing in the heater at any one time.

    Unlike heater A, the mass of liquid is small, so there is less stabilizing influence.

    The total volume of liquid in the heater is small in comparison to the rate of

    throughput, the heat transfer area, and the heat supply.

    Slight variations in the rate of feed or the rate of heat supply will be reflected

    almost immediately in the temperature of the liquid leaving the heater.

    On the other hand, if a change in temperature of the liquid output was desired,

    which heater would give the most rapid change? Heater B would give the most

    rapid change if the setpoint were changed.

    (b) Valve Positioner

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    The main purpose of having a valve positioner is to guarantee that the valve does

    move to the position where the controller wants it to be. By adding a positioner one

    can correct for many variations including changes in packing friction due to dirt,

    corrosion, or lack of lubrication; variations in the dynamic forces of the process

    sloppy linkages or non linearities in the valve actuator. The effective dead band of a

    valve/actuator combination can be as much as 5% with the addition of a positioner

    it can be reduced to less than 0.5%. The function of the positioner is to protect the

    controlled variable from being upset by any of the variations. In addition the

    positioner can be used for split-ranging the control signal between more than one

    valve, for increasing the actuator speed

    for modifying the valve characteristics

    by cams or electronic function

    generators. But these reason do not

    necessitate the use of positioners as

    they can be achieved by other means

    without using positioner also.

    The valve positioner is a high-gain

    plain proportional controller which

    measures the valve stem position

    compares that measurement to its set

    point & if there is a difference corrects

    the error. The open-loop gain of

    positioners ranges from 10 to 200

    (proportional band of 10% to 0.5%) & their periods of oscillation range from 0.3 10

    10 seconds (frequency response of 3 to 0.1 Hz).In other words the positioner is a

    very sensitively tuned proportional only controller.

    (c) Electronic PI Controller

    A simple combination of the proportional and integral circuits provides theproportional-integral mode of controller action. The resulting circuit is shown inFigure 10.16. For this case the relation between input and output is most easilyfound by applying op amp circuit analysis. We get (including the inverter)

    ()

    The definition of PI controller includes the proportional gain in the integralterm, so we can write as follows:

    () ()

    The adjustments of this controller are:

    (i) The proportional band which is adjusted through (ii) The integration gain which is adjusted through .

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    (d) I to P Convertor

    The current-to-pressure converter, or simply I/P converter, is an important elementin process control. Often, when we

    want to use the low-level electric

    current signal to do work, it is easier

    to let the work be done by a

    pneumatic signal. The I/P converter

    gives us a linear way of translating

    the 4~20-mA current into a 3~l5 psig

    signal. There are many designs for

    these converters, but the basic

    principle almost always involves the

    use of a nozzle/flapper system. Figure7.6 illustrates a simple way to

    construct such a converter. Notice

    that the current through a coil

    produces a force that will tend to pull the flapper down and close off the gap. A

    high current produces a high pressure so that the device is direct acting.

    Adjustment of the springs and perhaps the position relative to the pivot to which

    they are attached allows the unit to be calibrated so that 4 mA corresponds to 3

    psig and 20 mA corresponds to 15 psig.

    (e) Self-regulation process

    A significant characteristic of some processes is the tendency to adopt a specificvalue of the controlled variable for nominal load with no control operations. Thecontrol operations may be significantly affected by such self-regulation.

    As an example, consider the control ofliquid temperature in a tank, as shownin figure. The controlled variable is theliquid temperature. This temperaturedepends on many parameters in theprocess, for example, the input flow rate

    via pipe, the output flow rate viapipe, the ambient temperature, thesteam temperature, inlettemperature, and the steam flowrate. In this case, the steam flow rate

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    is the controlling parameter chosen to provide control over the variable (liquidtemperature). If one of the other parameters changes, a change in temperatureresults. To bring the temperature back to the setpoint value, we change only thesteam flow rate, that is, heat input to the process.

    (1) Suppose we fix the steam valve at 50% and open the control loop so that nochanges in valve position are possible. 2) The liquid heats up until the energycarried away by the liquid equals that input energy from the steam flow. (3) If the

    load changes, a new temperature is adopted (because the system temperature isnot controlled). (4) The process is self-regulating, however, because the temperaturewill not "run away," but stabilizes at some value under given conditions.

    An example of a process without self-regulation is a tank from which liquid ispumped at a fixed rate. Assume that the influx just matches the outlet rate. Thenthe liquid in the tank is fixed at some nominal level. If the influx increases slightly,

    however, the level rises until the tank overflows. No self-regulation of the level is

    provided.