2010 Jan EAB4233 EBB4233 Plant Process Control Systems

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    UNIVERSITI

    I' EKNOL,

    :. G

    I' ETRONA

    S

    COURSE EAB4233

    -

    PLANT PROCESS

    CONTROL SYSTEMS

    DATE

    26

    h

    MAY 2010 (WEDNESDAY)

    TIME

    9,00 AM 12.00 PM (3 HOURS)

    INSTRUCTIONS TO CANDIDATES

    1 Answer

    ALL

    questions

    from the

    Question Booklet.

    2.

    Begin EACH

    answer on a new

    page

    in

    the

    Answer

    Booklet.

    3. Indicate

    clearly answers

    that

    are cancelled,

    if

    any.

    4. Where

    applicable,

    show clearly steps

    taken

    in

    arriving at

    the

    solutions and

    indicate ALL

    assUmptions.

    fi.

    Do

    not

    open

    this Question Booklet

    until

    instructed.

    Note

    There

    are

    THIRTEEN (13)

    pages

    in this

    Question Booklet including

    the

    cover page and appendices.

    1311:

    .

    vex'si't_:

    i Te}:

    nc,.

    4.

    g:

    i. PETRONAS

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    EA84233

    a.

    FIGURE QIa

    shows a preliminary process

    design for

    a

    liquid-

    vapor

    separation

    process.

    The key

    variables

    to be

    controlled are

    flow

    rate,

    temperature,

    composition and pressure

    for the flash

    system.

    Heat Exchangers Vapor

    Liquid

    FIGURE Q1

    a

    As

    a control engineer, you are assigned

    to the following tasks:

    i. Determine the

    sensors and

    final

    elements required

    to

    control

    the

    important

    variables

    by

    sketching

    them

    on

    the

    figure where they should be located.

    [4

    marks]

    Propose TWO 2)

    control

    loops,

    in

    which each

    loop

    shall

    satisfy either product quality or profit

    as

    its

    control

    objectives.

    Sketch the

    control

    loops

    and

    describe their

    operations.

    [6

    rnarksj

    2

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    EAB4233

    b. A heat

    exchanger with

    bypass

    is

    shown

    in FIGURE Q9 b.

    Outlet

    temperature,

    T, (s)

    FIGURE Qlb

    Draw

    a

    block diagram

    showing

    the

    input-output

    relationship

    of

    the

    system,

    in terms

    of

    temperature

    variable.

    [2 marks]

    ii. Using the diagram

    obtained

    in

    part

    b(i), determine

    the

    overall

    transfer

    function

    of

    the

    system,

    T-' (S

    -)

    given

    that the

    T0(s)

    transfer function for heat

    exchanger

    CV 1 is G,

    (s)

    _

    .

    2)

    2s-1

    and

    for

    CV2 is C:

    S+1.

    .

    Prove that the

    system

    is

    stable.

    [3

    marks]

    iii. Sketch

    and

    discuss

    the

    response

    of

    the

    system

    to

    a unit

    step

    input.

    [3

    marks]

    c.

    Explain

    why control

    is

    necessary

    in

    process plants.

    [2

    marks]

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    a.

    As

    a control engineer, you are assigned

    to

    perform

    diagnostic

    evaluations on your process plant.

    In

    order

    to

    do

    this,

    you need

    to

    perform experiments and run several simulations on your plant

    model.

    FIGURE

    Q2a

    shows

    the

    results

    from

    the

    experiments

    that

    you have conducted on a chemical reactor.

    Output

    70

    60

    -E

    CD

    Q

    0

    o

    T

    Q2fJ

    10

    Input

    50 100

    Time (min)

    FIGURE Q2a

    0

    10

    150

    r.

    List the

    six steps procedures

    in

    obtaining

    the

    empirical

    transfer function

    model

    identification

    of a process plant.

    [3

    marks]

    ii. State THREE (3)

    characteristics

    that

    validate

    the

    experiment

    result

    in FIGURE Q2a

    to

    be

    used

    for

    process reaction curve.

    [3

    marks]

    iii.

    Determine

    the

    model parameters using

    Method Il.

    (4

    marks]

    C)

    50

    U,

    +'"1'I.

    "rn'hw4'.

    w

    40

    :3

    25

    5

    4

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    b. The following Table 2b

    shows

    some portions of

    data

    coI ected

    in

    an

    experiment.

    The initial inputs,

    X;,

    =

    X(0),

    and outputs,

    Y S, Y(0)

    to

    the

    system are

    50

    and

    75

    respectively.

    To

    perform

    statistical

    modeling

    identification, the data

    needs

    to be

    restructured

    for

    regression model

    fitting, first-order-with-dead-time

    model With

    dead

    time

    of

    two

    sample periods.

    Complete the Table 2b.

    Table 2b

    Data

    collected

    in

    experiment

    (original

    rmt)

    rime, tN I11Pr.

    t,

    I C)Utp

    xky

    0

    n restrUctured

    format for

    regression

    model

    fitting

    [4

    marks]

    C.

    Table 2c

    shows

    the

    restrits obtained after*

    the

    regression analysis

    done. The

    experiments

    were

    done

    tour times,

    each with

    different

    sampled

    dead time, Gamma.

    Table 2c

    Gamma

    0.5921 1 0.3216

    ().5954

    1

    03 213

    Residual

    9,7503

    ___ _ _--

    f. 82

    85

    8.4339

    2.7763

    Select the best

    coefficients and calculate

    the

    parameter values

    of the given system using correlation coefficient calculation in

    Appendix

    I.

    Justify

    your selection.

    [4

    ma rks

    ii. From the

    answers obtained

    in

    part

    c(i),

    determine the transfer

    function

    of

    the

    model.

    2

    marks]

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    EAB4233

    a

    The Bode

    plots of a

    flow feedback loop

    with

    K,

    _

    _-

    1.0 is

    shown

    in

    FIGURE Wa.

    d. Using

    the

    Ziegler-Nichols

    closed-loop

    tuning

    correlations

    shown

    in APPENDIX 11, determine the PID tuning

    parameters.

    [6

    marks]

    Another

    method

    to

    obtain

    the

    P D

    tuning

    parameters without

    using

    the

    Bode

    plots

    is by

    using

    the Ciancone

    correlations.

    Describe

    the

    procedures

    in

    obtaining

    the tuning

    parameters

    using

    this

    approach.

    [4

    marks)

    Hode C+iarya 5m

    FIGURE Q3a

    6

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    EAB423

    t.

    The dynarrric

    response shown

    in

    FIGURE

    Q3b

    was obtained

    by

    introducing

    a step, set point change

    to

    a

    F'ID

    ccmtrr~ilar.

    r

    ,.

    ai'+' ,

    .

    .,

    W' E_1

    'iCl

    20

    30 40 50 617

    70

    t30

    l hie (min)

    FIGURE Q3b

    Determine the

    settling

    time,

    decay

    ratio as well as

    the

    MV

    variance of

    the

    system.

    [3

    marks]

    Based

    on

    the

    descriptions

    in

    part

    (b)(i),

    recommend

    the

    fine-tUning

    steps

    that

    you VvoUiC,ndertake

    to

    improve

    the

    controller.

    arks]

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    c.

    A, dosed loop

    system

    is

    shown

    in FIGURE C33c.

    Using

    the

    final

    value

    theorem,

    (V'

    )

    (proportional-derivative)

    controller cannot achieve zero offset

    due

    to the disturbance, D(s),

    as

    t

    The

    elements'

    transfer functions

    are

    G

    (s)

    --

    RJ.

    0.2

    1.5s..

    ..

    Jw

    0. S.

    s

    D(s.

    C;

    d

    (s)

    _-.

    ().5

    (1.5s

    +-1

    [4

    marks]

    D(s)

    , _.

    --------

    : )

    SP(s)

    -...

    >i,

    ------------

    Ci2,

    W;.,

    CT (S)

    =

    ('1

    lim

    sC.

    "f"(s),

    prove

    that

    a

    PD

    s-.

    G

    (s)

    CV(s)

    ____I

    FIGURE Q3c

    8

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    4.

    a.

    Design

    a realizable

    feedforward

    controller given

    that the

    process

    and

    disturbance

    transfer

    functions

    are

    d). 6c

    C.

    1

    .3

    6e__ .,

    ;

    _,

    ._.. ...._... _

    S..

    s

    +1

    ,5,

    s+1

    For the

    stripping section of a

    distillation

    shown

    in FIGURE Q4b,

    the

    objective

    is to

    maintain

    the bottom's

    parity, at a

    desired

    value.

    This

    objective

    is

    commonly attained

    by

    controlling

    the temperature in

    one of

    the trays (the

    column pressure

    is

    assumed

    constant)

    by

    using

    the

    steam

    flow

    to the

    reboiler

    as

    the

    manipulated variable.

    A

    usual

    major disturbance is the feed flow to the

    column.

    FIGURE

    Q4b

    Using the feedforward design criteria, select a suitable

    feedforward

    variable

    to

    be introduced

    in

    the

    system.

    [4

    marks]

    ii.. Sketch

    the feedforward

    controller

    connections and explain

    how it

    will respond

    to the

    feed

    flow disturbance.

    [4

    marks]

    9

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    OL Briefly describe

    whether

    the

    dynamic

    compensation

    on

    the

    feedforward

    controller

    to be

    a net

    lead

    or a net

    lag.

    [2

    marks]

    C. FIGURE Q4c shows the blending process of crude oil from two

    different

    sources:

    Strearn A

    and

    Stream B. The two flow

    streams

    must

    be

    regulated at a

    desired

    ratio

    to

    ensure

    the

    right product

    blend.

    Stream A

    Bdended

    product

    Strearn B

    FIGURE Q4c

    Using

    only

    the

    equipment shown

    in FIGURE Q4c design

    a

    flow

    ratio control

    strategy

    to

    ensure

    the

    right

    composition

    for

    the

    blended

    product.

    Describe the

    operating principles of your strategy.

    [5

    marks]

    d. Discuss the design

    criteria

    for implementing

    a cascade control.

    [2

    marks]

    10

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    BA

    B4233

    a.

    The following transfer function

    were obtained

    from

    a step

    test

    performed

    by manipulating the

    signals

    to the

    steam and product

    valves,

    in,

    and

    rn1,

    respectively

    for

    an evaporator shown

    :,

    n

    FIGURE Q5. The

    controlled variables are

    the

    product composition,

    and

    feed flow,

    iv,R,

    As

    shown

    in

    the

    diagram,

    although

    there is

    a

    control valve on

    the

    feed

    line, this

    valve

    must control

    the

    level

    evaporator

    (l_C). This is because

    the

    feed is the largest

    of

    the three

    flows in the

    system and

    thus it has the largest influence

    on

    the

    level.

    .

    1`WC

    {f il')r

    p

    i}.

    ;?

    -rr:

    ..,

    _. ..

    1.ic e'-aaa,

    ------ ---yC

    Ik)', . _

    ---- ----'---,.

    f.s5,

    --fl

    2.70s+1

    a. o.,

    ?.97.

    s+

    1

    Product

    FIGURE Q5

    Determine if

    any

    loop

    pairing

    can

    be

    eliminated

    based

    on

    the sign of the relative gains. Explainwhy the eliminated

    loop

    pairing(s)cannot

    be

    used

    for,

    control pUrposes.

    [G

    rnarks]

    Ci. Determine

    which

    loop

    pairing

    could minirnize

    the

    effect of

    interaction. State the

    relative

    gain

    for this

    pairing.

    [2

    marks]

    i'l

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    iii. Design

    the decouplers for

    this

    multivariable system and

    explain

    their

    purposes.

    arks]

    Discuss the

    advantages of niultiioop

    approach

    in

    multivariable

    control.

    [3

    marks]

    c.

    Describe

    reset wind up and

    methods on overcoming

    this

    situation.

    [4

    marks[

    END OF PAPER

    12

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    APPENDIX

    I

    Y:.

    +I

    ,

    /rrr