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    Appied Process Control Systems

    Fundamentals of Process

    Control SystemsLe c t u r e - 1

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 1

    . .

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    Sequence of Presentation

    1.Why Process Control?

    .

    3.Role of Sensors and Instruments

    4.Modes Of Control Systems

    6.Examples of Servo Control Systems

    7.Conclusions

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 2

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    1. Why Process Control ?

    1.Safety of Equipment and Personnel

    .

    quantity

    .

    4.Observe Environmental and Countryaws

    5.Economics

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 3

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    Control Objectives

    1. Safety ofEquipment &

    Give example

    personnel

    2. ProductionSpecification of

    Vapo

    ProductT6 PC

    quality &quantity

    3. Operational F1

    T2

    T4 T3 L1

    Feed

    Constraints

    4. EnvironmentalRegulations

    F3F2

    5. Economics productSteamProcessfluid L. Key

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 4

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    Safety of Equipment & Personnel

    1. Safety ofEquipment &

    High pressurein drum isdangerous

    Va o

    2. ProductionSpecification of

    Product

    T1 T5Feed

    quantity

    3. OperationalConstraints

    F1 T4T3 L1

    4. EnvironmentalRegulations

    Liquid

    F3F2

    A1

    . conomcs productSteamrocessfluid L. Key

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 5

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    Control Objectives

    1. Safety ofEquipment &

    Give example

    personnel

    2. ProductionSpecification of

    Vapo

    ProductT6 PC

    quality &quantity

    3. Operational F1

    T2

    T4 T3 L1

    Feed

    Constraints

    4. EnvironmentalRegulations

    F3F2

    5. Economics productSteamProcessfluid L. Key

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 6

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    Safety of Equipment

    1. Safety ofEquipment & VaporT6 PC

    No flow coulddamage thepump

    personne

    2. ProductionSpecification of

    Product

    T1 T2 T5qua yquantity

    3. Operational

    F1 T4 T3L1

    ee

    4. EnvironmentalRegulations Liquid

    F3F2

    A1

    5. Economics pro ucfluid L. Key

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 7

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    Quality Assurance

    1. Safety ofEquipment &

    Give Example

    personnel

    2. ProductionSpecification of

    Product

    quality &quantity

    3. Operational F1 T4 T3 L1

    Feed

    Constraints

    4. EnvironmentalRegulations

    F3F2

    5. Economics productSteamProcessfluid L. Key

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 9

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    Quality Assurance

    1. Safety of

    Achieve L.Keyby adjusting

    personnel2. Production

    VaporProductT6 PC

    quality &quantity

    T1

    F1

    T2

    T4

    T5

    T3

    Feed

    .Constraints

    4. Environmental F3F2

    5. EconomicsLiquidproductSteamProcess

    fluid L. Key

    A1

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 10

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    Observe Environmental and Other Regulations

    1. Safety ofNever releaseh drocarbons

    qupmen

    personnel

    2. Production

    VaporProduct

    T6 PCto atmosphere

    pec ca on oquality &

    quantity

    T1

    F1

    T2

    T4 T3 L1

    Feed

    .Constraints

    4. Environmental F3F2

    5. Economicsqu

    productSteamProcessfluid L. Key

    A1

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    Economics

    1. Safety ofGive Example

    qupmen

    personnel

    2. Production

    VaporProductT6 PC

    pec ca on oquality &

    quantity

    T1

    F1

    T2

    T4

    T5Feed

    .Constraints

    4. Environmental F3F2

    5. EconomicsLiquidproductSteamProcess

    fluid L. Key

    A1

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    Economics

    1. Safety ofEquipment &personnel

    2. ProductionSpecification of

    Give Example

    quality &quantity

    3. Operationalonstrants

    4. EnvironmentalRegulations

    5. Economics

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    2. What to Control ?

    1.The Influence of External

    2.Ensure Stable Operation

    (Avoid Unsteady State)

    . p m ze pera on

    6. Februar 2008 / Dr. Ing Naveed Ramzan #PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 14

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    Suppress the Influence of External Disturbances

    Disturbances?

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    Ensure Stable Operation

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    Optimized Operation (online)

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    Potential Stochastic Gains through effective Process Control

    When we control a process, we reduce the variabil ity.

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    Potential Stochastic Gains through effective Process Control (Contd)

    Variability is moved from controlled to manipulated variable!

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    Potential Stochastic Gains through effective Process Control (Contd)

    What statisticscan we cacua e

    from this data?

    How do we relatevariability to process

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    Potential Stochastic Gains through effective Process Control (Contd)

    Process erformance

    efficiency, yield,production rate, etc. It

    for a control objective.

    Calculate the process

    performance using the

    ,average value of the key

    variable!

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    Comment on Sensors and Instruments

    operator that can see & feel the intenseprocess variable inside the vessels

    ` Accordingly the measurements should be

    possible with reasonable costs.

    ` Process control go hand in hand

    If you cannot measure you cannot control!

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 24

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    4. Modes of Control Systems

    ` Feedback Control Systems (Regulatory)

    ` Feedforward Control Systems(Servo, Tracking)

    ` Sequential Control System

    ` Distributed

    Modes of Implementation

    ` Pneumatic

    ` Electronic

    ` Digital

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    Basics of feedback control system

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    Examples of feedback system

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    Examples of feedback system

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    Examples of feedback system

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    Examples of feedback system

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    Example of Temperature Control (Heat exchanger)

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    Example of Composition Control

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    Where is Control Done?

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    Control Systems Implementations In Industry

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    Control Systems Implementations In Industry

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    Control Systems Implementations In Industry

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    Applied Process Control System

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    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 1

    pp y

    Sensors &

    Instrumentation

    Dr. Ing. Naveed Ramzan

    Le c t u r e - 2

    Sequence of Lecture

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    Instruments are our eyes

    Performance characteristics of Instruments

    Principle measurements desired in industry

    (a) Temperature

    (b) Pressure(c) Level(d) Flow(e) Others ( Composition, pH etc.)

    q

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    Importance of effectivemeasurement in process

    industry

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 4

    http://h/BP%20Explosion.avihttp://h/BP%20Explosion.avihttp://h/BP%20Explosion.avihttp://h/BP%20Explosion.avi
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    Failure to measure effectively the level of liquidin bottom of the tower lead to

    --- Fire

    --- Explosion

    PEC Islamabad UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 5

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    Functional Elements of an Instrument

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    Process/Measured medium

    Primary

    Sensing

    Element

    Variable

    Conversion

    Element

    Variable

    Manipulation

    Element

    Data

    Transmission

    Element

    Data

    Presentation

    Element

    Observer

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 7

    Functional Elements of an Instrument (Contd)

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    Typical Example:

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    Functional Elements of an Instrument (Contd)

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    Primary

    SensingElement

    Variable

    ConversionElement

    Data

    TransmissionElement

    Variable

    Manipulation

    Element

    Data

    Presentation

    Element

    TemperatureMeasured

    Quantity

    Pressure

    Variable

    Conversion

    Element

    Pressure

    MotionMotion

    Fluid

    Temperature Tube Tubing

    Spiral Bourdon

    Tube

    Linkage GearScale & Pointer

    Observer

    Process/Measured medium

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    Performance Characteristics of Instruments (Contd)

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    Static characteristics

    Static characteristics of an instrument includes;

    Accuracy

    Precision

    Repeatability

    Range

    Resolution

    Others ( Sensitivity , Dead zone etc.)

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    Static Characteristics

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    Static characteristics of an instrument includes;

    1. Accuracy

    The ability of a device or asystem to respond to a truevalue of a measured variable

    under reference conditions.

    In general accuracy

    expressed as Limit of Error

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    Static Characteristics

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    Static characteristics of an instrument includes;

    3. Repeatability

    Repeatability is the variation in measurements takenby a single person or instruments on the same itemand under the same conditions.

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    Calibration

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    Assigning standardvalues to anequipment iscalibration.

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    Performance Characteristics

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    Dynamic characteristics

    Dynamic Characteristics of an instrument includes;

    1. Speed of response

    2. Fidelity

    3. Lag

    4. Drift

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    Principle measurements desired in Industry

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    Principle measurements desired in industry

    (a) Temperature

    (b) Pressure

    (c) Level

    (d) Flow

    (e) Others ( Composition, pH etc.)

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    It is time to turn up the heat but

    first you must learn how tomeasure it

    Temperature Sensor

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    Methods of Temperature Measurement

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    1. Thermocouples

    2. Thermistors

    3. Electrical resistance change (RTD)4. Expansion of materials

    5. Pyrometers

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    Thermocouple Types

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    TCs are identified by a single letter type andgrouped according to their temperaturerange

    ` Base Metals up to 1000 C

    ` Type J, Type E, Type T, Type K

    ` Noble Metals up to 2000 C

    ` Type R, Type S, Type B

    ` Refractory Metals up to 2600 C

    ` Type C, Type D, Type G

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    Metal Combinations

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    TC

    Type

    Colours Range C Positive Lead

    (Coloured)

    Negative Lead

    (all Red)J White/Red -210 to 1200 Iron Constantan

    E Purple/Red -270 to1000 Chromel Constantan

    T Blue/Red 0 to 400 Copper Constantan

    K Yellow/Red -270 to1372 Chromel Alumel

    R Black/Red -50 to 1768 Platinum-13%rhodium

    Platinum

    S Black/Red -50 to 1768 Platinum-10%rhodium Platinum

    B Grey/Red 0 to 1700 Platinum-30%rhodium

    Platinum-6% rhodium

    C White-Red/Red 0 to 2320 Tungsten/5%rhenium Tungsten 26% rhenium

    Chromel = Nickel-chromiumAlumel = Nickel-aluminum

    Constantan = Copper-nickel

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    Thermocouple Tables

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    Type T Thermocouple (Blue & Red) Reference Junction 0 C

    C 0 1 2 3 4 5 6 7 8 9

    0 0.000 0.039 0.078 0.117 0.156 0.195 0.234 0.273 0.312 0.352

    10 0.391 0.431 0.470 0.510 0.549 0.589 0.629 0.669 0.709 0.749

    20 0.790 0.830 0.870 0.911 0.951 0.992 1.033 1.074 1.114 1.155

    30 1.196 1.238 1.279 1.320 1.362 1.403 1.445 1.486 1.528 1.570

    40 1.612 1.654 1.696 1.738 1.780 1.823 1.865 1.908 1.950 1.993

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    Thermistors

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    ` The thermistors can be in the shape of a rod,

    bead or disc.

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    ` Manufactured from oxides of nickel, manganese,

    iron, cobalt, magnesium, titanium and othermetals.

    Thermistors

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    Advantages:

    ` Small sizes and fast response

    ` Low cost

    ` Suitability for narrow spans

    Disadvantages:

    `More susceptible to permanent decalibration athigh temperatures.

    ` Use is limited to a few hundred degrees Celsius.

    ` Respond quickly to temperature changes, thus,especially susceptible to self-heating errors.

    ` Very fragile

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    Electrical Resistance Change (RTD)

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    Resistance Temperature Detector- RTD

    ` RTD (Resistance Temperature Detector) is a

    temperature sensitive resistor.

    ` It is a positive temperature coefficient device, which

    means that the resistance increases with temperature.` The resistive property of the metal is called its

    resistivity.

    The industry standard is the platinum wire RTD(Pt100) whose base resistance is exactly 100.00

    ohms at 0.0 C.

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    Electrical Resistance Change (RTD)

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    Platinum Wire RTDs (PRTs)

    PRTs have established themselves as the de-facto industrystandard for temperature measurement, and for many reasons:

    ` linear temperature sensors

    ` Resistance vs temperaturecharacteristics are stable andreproducible

    ` linear positive temperature

    coefficient (-200 to 800 C)

    ` very accurate and suitable for use asa secondary standard

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    Electrical Resistance Change (RTD)

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    OtherRTDs` 10 ohms Copper RTD - .00427 coefficients

    ` 100 ohms Platinum RTD - .00385 coefficients

    (new IEC)

    ` 100 ohms Platinum RTD - .00392 coefficients (old)

    ` 120 ohms Nickel RTD - .00672 coefficient

    ` 604 ohms Nickel-Iron RTD - .00518 coefficients

    All base resistances are specified at a temperature of 0 degrees C

    A Pt1000 will have a base resistance of 1000 ohms at 0 deg. C

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    RTD Colour Code

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    Not standardized but this is commoncolour arrangement. Some (like in thelab) will use BLK-BLK-RED

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    Expansion Thermometers

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    ` Bimetallic Thermometer

    (Expansion of solids)

    Effect of unequal expansion of a bimetallic strip

    Bimetallic thermometer

    -Different metals have difference coefficient.

    -Configured as spiral or helix for compactness

    - Can be used with a pointer to make aninexpensive compact rugged thermometer.

    Expansion Thermometers

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    ` Filled Thermal Systems

    (Filled System Thermometer, Filled Bulb Thermometer)

    Similar operation as the liquid in glass

    `Bulb

    ` Capillary tube

    ` Pressure element

    ` Scale

    Spiral TypeBourdon Tube

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    Expansion Thermometers

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    ` Filled Thermal System Classes(Filled System Thermometer, Filled Bulb Thermometer)

    ` Class l A,B Liquid filled

    ` Class ll A,B,C,D Vapour filled

    ` Class lll A,B Gas filled

    ` Class V A,B Mercury Filled

    Temperature Range Response

    ` Class l: -125 F to + 600 F Slowest

    ` Class ll:

    -40 to 32 or 32 to 600 F Fastest

    ` Class lll: -450 F to +1400 F Fast

    ` Class V: -40 F to +1200 F Fast

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    Pyrometer

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    Pyrometry is a technique for measuring temperature without

    physical contactAn apparatus for measuring high temperatures that uses

    the radiation emitted by a hot body as a basis formeasurement.

    ` Radiation pyrometers ( measurement of radiant energy)

    ` Optical Pyrometers (comparison of the intensities )

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    Pressure Sensors

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    In any given plant, the number of

    pressure gauges used is probablylarger than all other instruments

    put together

    Pressure Measurement Methods

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    1. Elastic pressure transducers

    2. Electric pressure transducers

    3. Pressure measurement by measuring vacuum

    4. Pressure measurement by balancing forcesproduced on a known area by a measured force

    5. Manometer method

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    Elastic Pressure Transducers

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    1. Bourdon tube pressure gauge

    2. Diaphragm pressure transducers

    3. Bellows

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    Bourdon Tube Pressure Gauge

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    40

    Bourdon tubes are generallyare of three types;

    1. C-type

    2. Helical type3. Spiral type

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    Diaphragm Pressure Gauge

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    They are used to measure gauge pressures over very low

    ranges.` Two types of diaphragm pressure guages are:

    1. Metallic diaphragms gauge2. Slack diaphragms gauge

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    Bellows

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    ` More sensitivethan bourdontype gauge.

    ` Used to measurelow pressures

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    Electric Pressure Transducers

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    Electrical pressure transducers consists of three

    elements

    1. Pressure sensing element such as a bellow , adiaphragm or a bourdon tube

    2. Primary conversion element e.g. resistance orvoltage

    3. Secondary conversion

    element

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    Strain Gauge Pressure Transducer

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    A strain gauge is a passive type resistance pressure transducer

    whose electrical resistance changes when it is stretched orcompressed

    A pressure transducer contains a diaphragm which is deformedby the pressure which can cause a strain gauge to stretch orcompress. This deformation of the strain gauge causes thevariation in length and cross sectional area due to which its

    resistance changes.

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    Capacitive Pressure Transducer

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    The sensing diaphragm and capacitor form a differentialvariable separation capacitor. When the two inputpressures are equal the diaphragm is positioned centrallyand the capacitance are equal. A difference in the two input

    pressure causes displacement of the sensing diaphragmand is sensed as a difference between the two capacitances

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 46

    Differential Pressure Cell (DP Cell)

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    It is a device that measures the differential pressure

    between two inputs.

    Depending on what class theDP-cell is, it will give youfeedback with a current signal.

    Normal in Europe is 4-20mA, where 4 is lowest and 20is highest.

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 47

    Using a d/P Cell Transmitter

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    In a closed tank, the Low side of the d/P cell is

    connected to the top of the tank and will cancelthe effects of the vapour pressure above thesurface.

    Closed Tank Measurement Lo side of the d/P cell measures the vapour pressure above the surface. Hi side measures the hydrostatic head pressure which is proportional to

    the height of the liquid and its density + vapour pressure

    24 VDC mA

    4 20 mA

    To PLC orController

    H L

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    Level Sensors

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    Level is another common process variable that is

    Level Measurement

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    Level is another common process variable that ismeasured in many industries. The method used will

    vary widely depending on the nature of the industry,the process, and the application.

    Inventory:

    -- a constant supply or storage of materialControl:-- continuous, batch, blending, and mixing control

    -- stabilize flow to the next processAlarming:-- hi/lo limits, safety shut downData Logging:-- material quantities for inventory and billing

    purposes and where regulatory requirements arenecessary

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 50

    Methods ---- Direct or Indirect (inferential)

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    ` Hydrostatic Head` Float` Load Cells` Magnetic Level

    Gauge` Capacitance

    Transmitters` Magnetostrictive

    ` Ultrasonic` Microwave` Laser` Radar

    ` Guided WaveRadar

    ` Dip Stick` Vibration

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 51

    Selection Criteria

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    When determining the type of level sensor thatshould be used for a given application, there area series of questions that must be answered:

    ` Open tank or closed tank?` Can the level sensor be inserted into the tank or

    should it be completely external? Contact or non-

    contact?` Continuous measurement or point measurement?

    ` Direct or Indirect measurement?

    ` What type of material is being measured? Liquidor Solid? Clean or Slurry?

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    Dip Stick

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    ` Simple and cheap

    ` Can be used with any wet

    material and not affectedby density.

    ` Can not be used with

    pressurized tanks` Visual indication only

    (electronic versions are

    available)

    RodGauge - similar to a dipstick found in a car, it has weighted

    line markings to indicate depth or volumePEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 53

    Th f th fl id i th t k th

    Resistance Tape

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    The pressure of the fluid in the tank causes the

    tape to short-circuit, thus changing the totalresistance of the measuring tape. An electroniccircuit measures the resistance; it's directlyrelated to the liquid level in the tank.

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 54

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    Magnetic Level Sensor

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    Used where the sightglass level gauge cannot be used.

    Magneto-resistive typescan provide an

    electrical output.

    Liquid/liquid interface (such as water and oil) can be measured bychanging the buoyancy of the magnetic float

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 56

    Floats

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    Float rides the surface level to provide the

    measurement. Many different styles areavailable.

    Liquid density does not affect measurementPEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 57

    Hydrostatic Head Level Sensors

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    ` These methods infer level by measuring

    the hydrostatic head produced by theliquid column.

    `A pressure sensing element is installedat the bottom of the tank and pressure

    is converted to level.

    `Different liquid densities or closed tankapplications must be accounted for.

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 58

    Practical Considerations when usingHydrostatic Head Level Sensors (Contd)

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    g

    head type instrumentsThe reference point of the tank vs

    instrument input must be considered.

    Height

    (H)

    Pressure PSI

    Liquid Density

    (D)Height

    (H)Pressure

    PSI

    Liquid Density

    (D)

    This may not be practical in some applications where the tank elevationis below grade or where a remote visual reading is required.

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 59

    Bubblers

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    Bubblers allow theindicator to belocated

    anywhere.

    The air pressure in

    the tube varieswith the headpressure of the

    height of theliquid.

    Bottom of tubedetermines reference

    point

    P

    Regulated purgesystem

    (air or nitrogen)

    Instrument inputdoes not matter

    Cant be used in closed tanks or where purging a liquid is not allowed (soap). Very

    popular in the paper industry because the air purge keeps the tube from plugging.

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    Conductivity Level Measurement

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    Po i n t Le v e l M e a su r em e n t Co n t i n u o u s Le v e l M e a su r em e n t

    Advantages and disadvantages

    Low Cost

    Conductive, non-coating liquids onlyInsulating coatings can cause problems

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    UltraSonic Level Measurement

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    ` Non-Contact direct levelsensor

    ` Level is a function of thetime it takes an ultrasonicpulse to hit the surface andreturn

    Limitations include:

    Surface foam absorbs signal, agitation create reflections

    High Pressure & High Temperatures affect the signal speed

    Vapour and condensate create false echos

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    Load Cells

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    Tank level is determined by theweight of the quantity of

    materialLoad Cells (strain gauge

    transducers) placed at thebottom of the tank measurethe weight and then convert itto an electrical signal.

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    Flow Sensors

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    ` Pl t t l f d t lit d f t

    Reasons for Flow Metering

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    ` Plant control, for product quality and safety

    reasons.` Custody transfer, both interplant and selling to

    outside customers.

    ` Filling of containers, stock tanks andtransporters.

    ` Energy, mass balancing for costing purpose

    and health monitoring of heat exchangers.` Health monitoring of pipelines and on-line

    analysis equipment, Government and

    company legislation may dictate the use hereof such equipment.

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 67

    ` Differential Pressure Meters

    Types of Flow Meters

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    ` Differential Pressure Meters.

    ` Rotary Meters.1. Displacement2. Inferential

    ` New Flow Meters.1. Electromagnetic2. Vortex Shedding3. Ultrasonic4. Cross Correlation

    5. Tracer6. Swirl7. Fluidic

    ` Point Velocity Meters.` Mass Flow Maters.

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    ` Orifice Plate

    Differential Pressure Meters

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    ` Orifice Plate

    ` Dall Tube` Venturi Tube

    ` Pitot Tube

    ` Rota meter

    ` Target mater

    ` Averaging Pitot

    ` Nozzle

    ` Spring Loaded

    ` Intake Meter` Elbow Meter

    ` Bypass Meter

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    Differential Pressure Meters ( Contd)

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    Elbow Flow meter Rota meter

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    Di l t M t

    Rotary Meters ( Displacement Meters)

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    Displacement Meters

    ` Gear

    ` Oval wheel

    ` Vane Meter

    ` Gear (Roots)

    ` Diaphragm Meter

    `Liquid Sealed Meter

    Inferential Meters

    ` Turbine Meter

    ` Hoverflo Meter

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    Turbine Flow Meters

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    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 72

    ` Electromagnetic

    New Flow Meters

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    ` Electromagnetic

    EM Meter

    ` Vortex Shedding Meter

    Vortex Generation Meter

    ` Ultrasonic Flow Meters

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 73

    New Flow Meters (Contd)

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    Magnetic Flowmeter

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    New Flow Meters (Contd)

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    Swirl Meter

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    Coriolis Mass Flowmeter

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    Discussion & Questions?

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    Appied Process Control Systems

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    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 1

    Design of Control Systems& Standard Practices

    Prof. Dr. Shahid Naveed

    Le c t u r e - 3

    Sequence of Presentation

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    1.Design Objectives and Variables2.Steps in Design of a Control System

    3.Standard Practices

    4.Controller Selection & Tuning

    5.Conclusion

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    Variables in a Chemical Process

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    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 3

    Hardware for a process Control System

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    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 4

    Steps in Design of a Control System

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    1.Define the control objective(Purpose)

    2.Select the measurement variable/s

    (Primary / Secondary measurements, Easily, Rapidly, Reliably)

    3. Select the manipulated variable/s (Utility/process)

    4. Choose the control configuration (ConfigurationStandard/New)

    5. Design/choose the controller

    (Degree of controllability desired)

    6.Design of multiple input multiple outputsystems (MIMO)

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    General Control Configuration

    F d b k t l

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    Fe e d - f o r w a r d co n t r o l

    Fe e d b a ck co n t r o l

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    Recommended ControlSchemes and Standard

    Practices

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    Level Control

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    Flow Control

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    Pump Control

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    Steam Turbine Driven Pump Control

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    Rotary Pump Control

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    Temperature Control of HE

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    Temperature Control of HE (contd)

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    Temperature Control of HE (contd)

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    Pressure Control of Pressure Vessel

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    Pressure Control of Pressurized Vessels

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    Cascade Control

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    Split Range Control

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    Ratio Control

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    Pressure Control (Contd)

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    Controller Selection &Tuning Methods

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    Available Methods

    Controller Selection & Controller Tuning

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    Available Methods

    Ziegler-Nichols Tuning Technique

    Cohen-Coon Setting

    Quartering Technique

    Minimum Offset

    Minimum Integral Square Error ISE Minimum Integral Time Average Error ITAE

    Minimum Integral Average Error IAE

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    Ziegler-Nichols tuning technique

    It is for closed response system.

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    Kc Ti (min) Td (min)

    Proportional - -

    Proportional -integral

    Proportional

    integral derivative

    2Ku

    2.2Ku

    7.1Ku

    2.1Pu

    2Pu

    8Pu

    M1

    oWc

    2cycle

    min

    Where;Ultimate gain = Ku =

    Ultimate period =Pu =

    (M is the amplitude ratio for sustained oscillations )

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    Cohen Coons Method

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    Input

    Outpu

    A

    BK == (at steady state)

    S

    BT = B=ultimate response, td=time elapsed until system started to response

    S=slope of curve

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    Other Methods of Tuning Controllers

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    QuarteringMinimum Offset

    Minimum Integral-Square Error

    ( )=

    dttISE2

    ( )=

    dtttITAE

    ( )dttIAE =

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    The general guidelines for tuning are as follows:

    Selecting the Best controller and the values of P, I, D

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    ` If you want to strongly suppress the Large Errors , ISEis better than IEA because the errors are squared andthat contribute more to the value of the integral.

    ` If you want to suppress the Small Errors, IAE is betterthan ISE because when square small numbers (smallerthan one) they become even smaller.

    ` To suppress errors that persist for Long Times, the ITAEcriteria will tune the controllers better because thepresence of large t amplifies the effect of even smallerrors in the value integral.

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 31

    Selecting the Best controller and the values of P, I, D

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    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 32

    General Criteria to Select Feed Back Controller

    ` Define approximate performance criteria

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    ` Define approximate performance criteriaISE, IAE or ITAE.

    `

    Compute the value of the performancecriteria using P or PI or PID controller withthe best adjusted Kc, Ti, and Td.

    ` Select the Controller that gives the BESTvalue for the performance criteria.

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    Rules of Thumb

    ` If possible use simple proportional (P)

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    controllers.

    ` If simple Proportional action is

    unacceptable use a Proportional Integral(PI) controller.

    `Use a Proportional Integral Derivative(PID) control to increase the speed ofresponse and retain robustness.

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 34

    Critical Features of P, PI & PID Controllers.

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    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 35

    Summary & Conclusion

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    Design of Control System is a science andan art.

    Recommended control practices play an

    important role in it.

    The role of engineer stretches far beyond

    its design in application throughunderstanding

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    Applied Process Control System

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    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 1

    Computer ControlSystems

    Dr. Ing. Naveed Ramzan

    Le c t u r e - 4

    Sequence of Presentation

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 2

    ` Basics of Computerized Control

    ` Essential components of computer control system

    ` Advantages of Computer Control

    `Types of computer control implementation

    Evolution of Process Control

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 3

    Feedback Control Loop

    Single Loop Control (SLC)

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 4

    Traditional Single Loop Controller

    Single Loop Control (SLC) (Contd)

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 5

    From Traditional Analog Controller to Computer Control

    Single Loop Control (SLC) (Contd)

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    Multiple loop Control

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    Actuators Process

    Essential Components of Computer Control

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    Hold Amplifier

    DA Converter

    Multiplexer

    Digital

    Computer

    OperatorLog

    Sensors

    Instrumentation

    Multiplexer

    Amplifier/

    Attenuator

    A D Converter

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    Essential Components of Computer Control (Contd)

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 9

    Essential Components of Computer Control (Contd)

    Types of Signal

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    MemorySlowFast

    Essential Components of Computer Control (Contd)

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    Input-OutputInterface

    Digital Analog

    I/0 I/0

    Mass Storage

    DisksFixed HeadMoving HeadFloppy

    Magnetic Tapes

    CommunicationPeripherals

    PrintersType writersVideo Display unitGraphic TerminalsCard Reader

    X-Y Platters

    CentralProcessing Unit (CPU)

    Basic FeaturesControllersArithmetic UnitLogical UnitRegisters

    OptionsFloating Point ProcessorReal time ClockPower fail-safe auto restartWatchdog timer

    ROM

    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 11

    Components of digitalcomputer

    Plant Inputs : Multiplexing

    Essential Components of Computer Control (Contd)

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 12

    ` Control System

    Process control computer vs data processing computer

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 13

    Figure 1b

    ` Monitoring System

    Process control computer vs data processing computer

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 14

    Figure 1a

    Advantages of Computer Control

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 15

    -- all plant data is available at a central point and/or distributedpoints around the plant or works

    -- alarm conditions are detected and reported quickly

    -- plant is run according to the plan set by management, whichmay not be the case where there is a lot of manual

    intervention

    -- displays and printouts of information are available readily

    -- changes to the operating conditions or recipes are made insmooth, repeatable and closely controlled manner

    -- written records of all alarms and operator actions are

    Advantages of Computer Control

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 16

    available for post-incident or routine analysis

    -- alarm conditions are detected and reported quickly

    -- control room and control panel size is reduced

    -- all batches of material are treated identically

    -- batch logs are recorded automatically

    -- complex start-up and shut-down procedure can be automated

    -- safety interlocks can be programmed into the system

    Direct Digital Control loop

    Types of Computer Control Implementation

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 17

    Figure 4

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    Direct Digital Control loop

    Types of Computer Control Implementation

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 19

    Digitally Directed Analog Control (DDAC)

    - Supervisory computer control

    Types of Computer Control Implementation

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 20

    Figure 4

    Digitally Directed Analog Control (DDAC)

    - Supervisory computer control

    Types of Computer Control Implementation

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 21

    Figure 4

    Simplified Diagram of supervisory control

    Types of Computer Control Implementation

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    Supervisory computer control

    Types of Computer Control Implementation

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 24

    Distributed Control System

    Types of Computer Control Implementation

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    Distributed Control System

    Types of Computer Control Implementation

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    Programmable Logic Controller

    Types of Computer Control Implementation

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    Types of Computer Control Implementation

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    Programmable Logic Controller

    Types of Computer Control Implementation

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    Programmable Logic Controller

    Types of Computer Control Implementation

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    Programmable Logic Controller

    Types of Computer Control Implementation

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    Programmable Logic Controller

    Types of Computer Control Implementation

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    Programmable Logic Controller

    Types of Computer Control Implementation

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    Comparing DCS with PLC for ease of configuration

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    Emerging (Ideal) Configuration

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    Integrated Computer Control System

    Types of Computer Control Implementation

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    Integrated Computer Control System for a paper and pulp mill

    Types of Computer Control Implementation

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    Dr. Shahid Naveed 9. April 2009/ Dr. Ing Naveed Ramzan 38

    Traditional SCADA

    Types of Computer Control Implementation

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    Field Instrumentation

    Remote Stations

    Communications Network

    Central Monitoring Station

    Water distribution system using SCADA

    Types of Computer Control Implementation

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    Discussion

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    Discussion

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    Appied Process Control Systems

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    PEC Islamabad UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 1

    Fundamentals of

    Distributed ControlSystems

    Prof. Dr. Shahid Naveed

    L ec t u r e - 5

    Mainframe To Distributed Control

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    DCS is a Computer Network with Control Objectives

    1. The usual benefits of computer network on

    Ethernet (or like) are availed e.g. resourcesharing (hard/soft) backup/archive database

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    Ethernet (or like) are availed e.g. resourcesharing (hard/soft), backup/archive, databaseupdating, control algorithm computation, datalogging etc

    2. Each Local Control Unit (LCU) is used tocontrol the process variables. The informationin shared through communication interfaces

    for multiple usage and Low/High LevelInterfaces.

    3. The High Level Human Interface (HLHI) is

    provided in the control room and formanagerial applications throughout the plant

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    Typical Benefits of DCS

    Scalability & Expandability of System

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    Scalability & Expandability of System Improved Control Potential

    Improved Operator Interface Capability

    Integration of System Function

    Single Point Failure

    Lower Installation costs

    Easy to Maintain

    Local Control Unit Architecture

    1. It is the smallest collection of hardware ina distributed control system that performs

    closed loop control.

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    closed loop control.

    2. LCU malfunctioning can cause a conditionthat is hazardous to both people and

    equipment its proper design is critical

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    Typical Requirements of LCU

    ` Flexibility of changing control configuration

    ` Ability to use the controller without being expert

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    Ability to use the controller without being expert` Ability to bypass the controller in case it fails so

    that the process can be controlled manually

    ` Ability of LCU to communicate with other LCUsand other elements of the system

    Architectural Parameters of LCUSize of ControllerFunctionality of Controller

    Performance of ControllerCommunication channels out of ControllerController Output Security

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    2

    Analog inputs

    4

    Digital Inputs

    A LCU

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    Capacity:

    10 : Continuous

    Function Blocks

    40: Logic

    Function Blocks

    LCU A

    Analog outputs Digital outputs

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    A LCU (Contd)

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    .. ..

    ....

    LCU B1

    LCU B2

    16

    Analog inputs

    32

    Digital Inputs

    Capacity:

    40 Continuous

    Functions Blocks

    Capacity:

    160 Continuous

    Functions Blocks

    8

    Analog outputs

    16

    Digital outputs

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    Architectural parameters of LCU

    ` Size of Controller

    ` Functionality of Controller

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    y

    ` Performance of Controller

    ` Communication channels out of Controller` Controller Output Security

    A large number of configuration are possible

    ` Single loop

    `Two LCU types

    ` Multiple Loops

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    Comment

    ` Typical cost effectiveness of architectures is

    estimated with each of the configuration

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    g

    ` Configuration-A 12 controllers are

    required

    ` Configuration-B 3 controllers + 1 backup

    required

    ` Configuration-C 2 controllers + 1 backup

    required

    Typical cost effectiveness

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    Typical cost effectiveness

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    Nos of function blocks in control sys

    Control Complexity Ratio

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    Nos. of function blocks in control sys

    ` CCR = --------------------------------------------

    Nos. of control system output

    Nos. of continuous function blocks

    ` CCR = ---------------------------------------------

    Nos. of control analog output

    Fo r com p l e x s y s t e m t h e CCR i s 3 0 - 4 0

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    Other Architectural Issues

    How long each cable can be extended?

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    How many communication channels the

    system can support?

    What kind of delay is expected?

    What is the internal communication system?

    Distributed Communication

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    Level of Sub networks

    Several high level operation interfaces and

    communication elements located in the centralcontrol room area must communicate with

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    control room area must communicate witheach other at moderate load of messagetraffic.

    The message communication has generally three

    levels.1. A load bus or subnet

    2. A local network in the central control room

    3. A plant wide communication

    Field-bus Reduces Wirings

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    Benefits of Distributed CommunicationA comparison between non-distributed and distributed

    Communication facility reveals the following benefits:

    Cost of wiring is reduced significantly

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    Flexibility of making changes in software &firmware increases

    Less time to implement a large control system The control system becomes more reliable due

    to significant reduction of physical connection

    Typical worries for Distributed CommunicationExisting one-is-to one configuration had notime delay. Sharing the data buses may havesome delay! The answer is NOOverloading of channels!The answer is Overloading may take place.

    Requirements of Communication System

    1. Minimize time delays and maximized security oftransmission.

    2. Communication between various modules and HLHI/

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    LLHI should be effective.

    3. Communicate set points, operating modes and control

    variable from HLHI devices.Additional Requirements

    Download control configurations, tuning parametersand user programs for HLHI.

    Transmission of information from data input/ outputunits to high level computing devices.

    Synchronization of real- time and elements of

    machines. Transfer large data for high level processing take trends

    and searching applications.

    Communication Issues

    1. Maximum permitted size of the system

    2. Maximum acceptable time3 Maximum allowed delay in systems

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    3. Maximum allowed delay in systems

    4. Communication rate

    5. Rate of undeleted errors occurring in the system ( due tonoise)

    6. Sensitivity to traffic loading (traffic of signal load)

    7. System scalability (expandable/ large/ small)8. Fault Tolerance (failure of one channel should not effect

    other)

    9. Interacting requirement (protocol issues RS 232c, RS422, IEEE 488, smart)

    10. Ease of application/ maintenance

    Smart Hubs In Networks

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    Network Topologies

    Topology refers to the structure ofphysical connections among the

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    physical connections among theelements in a network.

    Some of the popular topologies are:Star

    BusMeshRing

    Network Topologies (Contd)

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    Network Topologies (Contd)

    Staris simplest but its failure shall cause theentire sub network to stop functioning

    l l b h

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    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 27

    Bustopology is similar to star but the sameproblem exist i. e. sharing one bus

    Meshtopology tries to overcome the limitationof star topology and is generally adopted in

    industry

    Ring or looptopology is a special case ofMash topology that provides connectionsbetween active switching devices in a loopsequence

    The Way Ahead-- Management Executive Systems

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    6. Februar 2008 / Dr. Ing Naveed Ramzan #

    Appied Process Control Systems

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    PEC Islamabad UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 1

    The Opportunity inStochastic Process

    ControlProf. Dr. Shahid Naveed

    L ec t u r e - 6

    Sequence of Presentation

    1.Objective of SPC

    2.Basic Concepts of SPC

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    3.Techniques & Analysis

    4.Common & Special Causes of ProcessDeviations

    5.Stable Process

    6.Trend Analysis

    7.Process Capability

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    What statisticscan e calculate

    Recalling From Lecture -1 Stochastic gains

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    can we calculatefrom this data?

    How do we relatevariability to processperformance?

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    In Nutshell Squeeze the Variability is the 1st Objective

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    Another Example

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    2. Basic Concepts for SPC

    `What is a process?` Converting raw materials into products

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    `What is control?` Achieving the objectives in the desired manner

    ` Have we done the job correctly?` Only Historic Data can reveal

    `Can we do the job more consistently?` Through online statistical monitoring/trend analysis

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    SPC Related Queries

    Are we doing the job correctly?Detection, prevention, confirmatory to design aspects

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    Detection, prevention, confirmatory to design aspects

    Can we do the job better?The process and human capability is under question

    Can capability/ quality be enhanced?

    Through process improvement and training

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    3. Techniques & Analysis

    ` What statisticaltools are

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    available?

    ` Process flowCharts

    `

    Check or tallycharts

    ` Histograms

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    3. Techniques & Analysis (contd)

    ` Graphs` Pareto Analysis

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    ` Pareto Analysis

    ` Cause & effect

    diagrams

    ` Scatterdiagram

    ` Control Charts

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    What is a Control Chart?

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    What is a Control Chart?

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    4. Objective of Control Charts

    Process monitoring

    for extendedperiods

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    p

    To identify common

    causes of processvariation / deviation

    To identify special

    causes of processvariation/ deviation

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    Common Causes of Process Variations

    ` Inherent or natural variation in the inputs andtransformation activities.

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    How to identify them?

    ` Repeatable, predictable, non- symmetric orrandom.

    ` Global to the system and originate from manysources.

    ` Lie within the process band within which a

    process is expected to vary.

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 14

    Special Causes of Process Variations

    ` These are variations due to process inputs andtransformation activities that occur irregularly.They are not part of the system but originatefrom outside

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    from outside.

    How to identify them?

    `They are localized to an operator, shift orpiece of equipment.

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 15

    Strategy of Process Improvement

    ` The general policy to improve process

    monitoring is to minimize commoncauses and eliminate special causes ofdi t b

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    disturbances.

    Com m o n Ca u s e s can be minimized by:

    ` Reduction in variability in inputs andtransformation activities

    ` Improve the process

    ` Improve work practices

    ` Improve operating guidelines

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 16

    Strategy of Process Improvement

    Sp e c i a l Ca u s e s need to be attended specifically

    ` Whenever a control chart signals a special

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    cause, search immediately for what was done

    differently on that instance.` The discovery of special cause of variation is

    usually the responsibility of someone who isdirectly connected with the process.

    ` Do not make a fundamental change inprocess, identify and permanently remove thespecial cause to prevent the recurrence.

    ` If a special cause can not be pin-pointed makeprocess adjustment.

    PEC UET Lahore Dr. Shahid Naveed 9. April 2009 / Dr. Ing Naveed Ramzan 17

    5. What is a Stochastic Stable Process ?A Process is said to be in a state of Stochastic Stable Controlif the distribution of measurement data has the same shapelocation and spread over time.In other words, a process is stable when the effects ofall specialcauses have been removedfrom a process, so that the remaining

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    p , gvariability is only due to common causes.

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    Trend Analysis

    Trend Analysis leads to answer the queries like

    1. Are we in control ?

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    2. Do we continue to be in control ?

    and is instrumental to

    1. Fault diagnostics

    2. Capability enhancement

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    Trend Analysis (contd)

    After a process is recognized to be out of control

    trend analysis is employed to search for thesources of problems.

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    The chart is divided into three zones. Zone A isbetween +/- 3. zone B is between +/- 2 andzone C is between +/- 1

    The following eight tests can be performed.

    Trend Analysis (contd)

    Test 1Pattern: One or more points falling outside thecontrol limits on either side of the average.

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    Qu

    ality

    Ch

    ara

    cte

    rist

    ics

    Problem source:

    Equipment breakdownNew OperatorDrastic change in raw materialquality

    Change in method, machine,or process settingAction:Go back and look at what

    might have been donedifferently before the out ofcontrol point signals.

    Trend Analysis (contd)

    Test 2Pattern: A run of nine points on one side of the average.

    Problem source:This may be due to a small

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    This may be due to a smallchange in the level of process

    average. This change may bepermanent at the new level.

    Action:

    Go back to the beginning of therun and determine what wasdone differently at that time orprior to that time

    Quality

    Characteristics

    Trend Analysis (contd)

    Test 3Pattern: A trend of six points in a row either increasing or

    decreasingProblem Source:

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    Qual

    ity

    Characteristics

    Gradual tool wearChange in characteristics suchas gradual deterioration inmixing or concentration of achemical.Deterioration of plating oretching solution in electronicsor chemical industriesAction:Go back to the beginning of therun and search for the sourcein procedure

    Trend Analysis (contd)

    Test 4:Pattern: Fourteen points in a row alternating up and down within

    or outside the control limits.Problem source:

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    Quality

    Characteristics

    Sampling variation fromtwo different sources suchas sampling systematicallyfrom high and low conditionwith two different averages.orAdjustment is being madeall the time (over control).Action: Look for cycles inthe process, such ashumidity or temperaturecycles or operator overcontrol of process

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    Trend Analysis (contd)

    Test 6Pattern: Four out of five points in a row on one side of the

    average in zone B or beyond

    Problem source:

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    Quality

    Characteristics

    Problem source:This may be due to a

    moderate shift in theprocess

    Action: Go back three or

    four points in time to findthe root cause.

    Trend Analysis (contd)

    Test 7Pattern: Fifteen points in a row on either side of the

    average in zone CProblem Source:Unnatural small fluctuations or

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    Quality

    Characteristics

    Unnatural small fluctuations orabsence of points near the control

    limitsIt may appear to be good controlbut this is not.Incorrect selection of subgroups.

    Sampling from various sub-population and combining theminto a single subgroup for chartingIn correct calculation of control

    limitsAction: Look very close to thebeginning of the pattern

    Trend Analysis (contd)

    Test 8Pattern: Eight points in a row on both sides of the center line

    with none in zone C.

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    Qual

    ity

    Characteristics

    Problem source: No sufficientresolution on the measurementsystem

    Action: Look at the range chartand see if it is in control

    6. Process Capability

    Understanding Capability!

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    ` Whether the process is capable of meeting the

    requirements ?

    ` Whether the process is meeting the

    requirement at any point in time ?

    ` Can the parameter be corrected or adjusted

    when it is not meeting the requirements ?

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    Process CapabilityThe capability of a stable process is defined in

    terms of a distribution. It is the spread of all

    values of the process distribution.Capable Process ( Cp)

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    Cp measures the effect of the inherent variability

    Cp is defined mathematically asUSL - LSL

    Cp = ---------------6

    Allowable process spreadCp = -----------------------------

    Actual process spread

    Where:USL = upper specification limitLSS: lower specification limit

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    Process Capable but not Centered

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    The Control implementation is erring towards on lower side.(Or underutilized)

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    Centred & Capable Process

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    Capability index ( Cpk)The long term objectives of Cpk is to continuously improve

    process and reduce variability

    Mathematically defined as:

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    Cpk = Minimum {USL- X / 3, X-LSL/3}

    Where X= overall process averageCpk is applicable for process centering.

    If for a two sided specification the capability index (Cpk) isequal to or greater than 1.33, then the process may beadequately centered.

    Cpk may be employed even when there is only one sidedspecification. This is used to determine the percentage ofobservations out of specification.

    ` A process is capable (Cp1) if its naturaltolerance lies within the engineering tolerance

    Capability index ( Cpk) (contd)

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    or specifications. The measure of process

    capability of a stable process is 6 where isthe inherent process variability estimated fromthe process.

    ` A minimum value of Cp = 1.33 is generallyused for an on going process. This ensures avery low reject rate of 0.007% and thereforeis an effective strategy for prevention ofnonconforming items.

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    Conclusion

    Stochastic Process Control has greatOpportunities leading to Production,

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    Opportunities leading to Production,Quality Assurance, Fault Diagnostics,

    Capability Enhancement etc.

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