modelling, estimation and optimization of the methanol synthesis with catalyst deactivation

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    Methanol Distillation

    Methanol Synthesis

    Steam Reforming

    Autothermal Reforming

    Product Methanol

    Prereforming

    DesuphurizationSteam

    Natural Gas

    Oxygen

    Fuel

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    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 00 00 00 0

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 11 11 11 1

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 00 00 00 0

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 11 11 11 1

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 00 0 00 0 00 0 0

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 11 1 11 1 11 1 1

    Synthesis gas

    Purge

    Crude methanol

    MP Steam

    MP Steam

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    0.0

    0.2

    0.4

    0.6

    0.8

    1.0

    0 10 20 30 40 50 60 70 80 90

    Activity

    Time [days]

    a1 a2

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    500

    510

    520

    530

    540

    0 0.2 0.4 0.6 0.8 1

    z[m/m]

    I II III

    500

    510

    520

    530

    540

    0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

    T[K]

    z [m/m]

    I II III

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    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 00 00 00 0

    0 0

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 11 11 11 1

    1 1

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 00 00 00 0

    0 0

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 1

    1 11 11 11 1

    1 1

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 00 0 00 0 00 0 0

    0 0 0

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 1

    1 1 11 1 11 1 11 1 1

    1 1 1

    Synthesis gas

    Purge

    Crude methanol

    MP Steam

    MP Steam

    RE

    ACT

    OR

    HEATEXCH.

    SEPARATOR

    SPLITTER

    COMPRESSORMIXER

    Synthesisgas

    Crude

    methanol

    Purge

    STEAMPROD.

    MP steam

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    515

    520

    525

    530

    535

    300 600 900 1200

    Tc

    [K]

    Time [days]

    2000

    2200

    2400

    2600

    0 300 600 900 1200

    Fme

    oh

    [ton

    /day]

    Time [days]

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    0

    20

    40

    6080

    100

    0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

    r1[mol/kgs]

    z [m/m]

    480

    500

    520

    540

    560

    0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

    Tr,max[K]

    z [m/m]

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    515

    520

    525

    530

    300 600 900 1200

    Tc[K]

    Time [days]

    3.0

    4.0

    5.0

    300 600 900 1200

    R

    [kmol/kmol]

    Time [days]

    2300

    2350

    2400

    2450

    300 600 900 1200

    Fmeoh[ton/day

    ]

    Time [days]

    1300

    1350

    1400

    1450

    300 600 900 1200

    Fsteam[

    ton/day]

    Time [days]

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    1.0000.946

    0.891

    0.837

    0.782

    0.728

    0.673

    0.619

    0.564

    0.510

    0.4550.401

    0.4

    0.6

    0.8

    1.0

    300 600 900 1200

    a(z=0.5

    )

    Time [days]

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    0.30

    0.35

    0.40

    0.45

    300 600 900 1200

    Xmeoh

    Time [days]

    10

    15

    20

    25

    30

    300 600 900 1200

    dTeq1[K]

    Time [days]

    0.64

    0.65

    0.66

    0.670.68

    0.69

    300 600 900 1200

    y_

    in(H2)

    Time [days]

    2100

    2200

    2300

    2400

    2500

    2600

    300 600 900 1200

    Fmeoh,r

    [ton/day]

    Time [days]

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    515

    520

    525

    530

    300 600 900 1200

    Tc[K]

    Time [days]

    515

    520

    525

    530

    300 600 900 1200

    Tc[K]

    Time [days]

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    1.0000.9460.8910.8370.7820.7280.6740.6190.5650.5100.4560.402

    0.4

    0.6

    0.8

    1.0

    300 600 900 1200

    a(z=0.5

    )

    Time [day]

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    0.30

    0.35

    0.40

    300 600 900 1200

    Xmeoh

    Time [days]

    10

    20

    30

    40

    300 600 900 1200

    dTeq1[K]

    Time [days]

    515

    520

    525

    530

    700 720 740 760 780 800 820

    Tc[K]

    Time [days]

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    515

    520

    525

    530

    300 600 900 1200

    Tc[K]

    Time [days]

    1600

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    3.0

    3.5

    4.0

    4.5

    5.0

    300 600 900 1200

    R

    [kmol/kmol]

    Time [days]

    2340

    2360

    2380

    2400

    300 600 900 1200

    Fmeoh[ton/day]

    Time [days]

    1300

    1400

    1500

    1600

    300 600 900 1200

    Fsteam[to

    n/day]

    Time [days]

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    0.4820

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    10

    1 10

    10.38

    0.4

    0.42

    0.44

    0.46

    Kd

    Ed

    a(x=0.5,t=t l)

    10

    1 10

    116

    17

    18

    19

    KdEd

    Obj

    1

    0

    1 1

    0

    10.34

    0.36

    0.38

    0.4

    0.42

    0.44

    0.46

    KdEd

    a(z=

    0.5,t=

    t l)

    1

    0

    1 1

    0

    117

    18

    19

    20

    21

    22

    23

    KdEd

    Obj

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    1 0

    11

    01

    518

    520

    522

    EdKd

    Tc(1)[K]

    1 0

    11

    01

    522

    524

    526

    EdKd

    Tc(2)

    [K]

    1 0 1

    101

    525

    526

    527

    EdKd

    Tc(3)

    [K]

    10

    1

    10.500.51526

    528

    530

    EdKd

    Tc(4)[K]

    10

    1

    10.500.51

    528

    529

    530

    EdKd

    Tc(5)[K]

    1 0

    1

    10

    1529

    530

    531

    EdKd

    Tc(6)[K]

    1

    0

    1

    10.500.5

    1530

    531

    532

    EdKd

    Tc(7)[K

    ]

    10

    1

    10.500.51

    531

    532

    533

    EdKd

    Tc(8)[K

    ]

    0.46

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    1 0 1 1

    0

    1

    0.36

    0.38

    0.4

    0.42

    0.44

    0.46

    Kd

    a(z=

    0.5,t=

    t l)

    10

    1 1

    0

    1

    20

    20.5

    21

    21.5

    22

    22.5

    Kd

    Ed

    Obj

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    0 500 1000 1500520

    522

    524

    526

    528

    530

    532

    Time[days]

    Tc[K]

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    0

    10

    20

    30

    40

    0 0.5 1z

    T-Tin

    0[K]

    Measured Predicted

    MeasuredPredicted

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    30

    35

    40

    45

    0 100 200 300Time[days]

    Tout-Tin0[K]

    Measured Predicted

    0.7

    0.8

    0.9

    1.0

    1.1

    1.2

    0 100 200 300

    Time[days]

    FMeOH

    /F0MeOH

    Measured Predicted

    0

    5

    10

    15

    20

    25

    0 200 400Time[days]

    Tm

    1

    -Tin

    0[K]

    Predicted

    25

    30

    35

    40

    0 200 400

    Time[days]

    Tm

    2

    -Tin

    0[K]

    30

    35

    40

    45

    0 200 400Time[days]

    Tm

    3

    -Tin

    0[K]

    30

    35

    40

    45

    0 200 400

    Tm

    4

    -Tin

    0[K]

    Time[days]

    30

    35

    40

    45

    0 200 400

    Time[days]

    Tm

    5

    -Tin

    0[K]

    25

    30

    35

    40

    45

    0 200 400Time[days]

    Tm

    6

    -Tin

    0[K]

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    Regular control

    Plant

    Supervisory control

    Optimization layer

    minutes

    hour/day

    seconds

    Controllayer

    Scheduling weeks

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