01b - Jan Van Impe - BioTec Research Themes

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    Model based

    Analysis, Design, Optimization and Control of

    Complex (Bio)Chemical Conversion Processes

    Bioprocess Technology and Control - KULeuven

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    Prelude

    Design, optimization and control

    of (bio)chemical conversion processes

    based on

    Historical

    experience

    time consuming capital intensive

    operation/operator

    specific

    on-line measurementsin silico design,

    optimization,

    and control studies

    Mathematical

    model

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    practical implementation

    optimization and control

    manageabilityaccuracy

    complex enough to

    cover main dynamics

    Prelude: complexity trade-off

    MODEL

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    accuracy

    manageability

    Primary model

    Prelude: methodology

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    accuracy manageability

    Model

    complexityreduction

    Prelude: methodology

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    reaction transportaccumulation

    Balance type equations

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    Complexity

    related to

    # of states

    time & space

    dependency

    reactionkinetics

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    Complexity

    related to

    # of states

    Carbon and nitrogenremoving activatedsludge systems- biodegradation

    - sedimentation

    Theme #1:

    Fast & reliablesimulationsOptimization &

    control

    Objectives:

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    Complexity

    related to

    # of states

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    Theme #1: Unit operations

    ASM1 model

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    Complexity: ASM1 model

    ()

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    input output

    Complexity reduction

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    Aerated tank

    Ss

    Xbh

    Xp

    Sno

    Snd

    Xs

    Xba

    So

    Snh

    Xnd

    time[day] time[day]

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    Theme #2: Filamentous bulking

    Influent Effluent

    Aeration tank Sedimentation tank

    Activated sludge

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    Process

    Control

    Influent

    Wastewater

    Aeration Tank

    Environment

    Microbial

    Community

    Selection

    Effluent Water

    Quality

    Improvement

    Long term objectives

    Image Analysis

    Procedure

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    Experimental set-up @ BioTeC

    Influent

    Effluent

    EFFLUENT

    Turbidity

    Quality

    SLUDGE

    Concentration

    Loading

    Settleability

    Characteristics

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    Robustness test

    Influence of microscope, camera and sludge type ?

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    ARX model

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    Theme #3: sWWTPS

    Rotating Biological

    Contactor

    Submerged Aerated

    Filter

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    Milestones

    Model complexity reduction for unit operations

    Linear Multi (or Fuzzy) Model approach withhigh predictive quality (input or state driven)

    Significant reduction in computation time due toanalytic solution of LTI state space model(within 1 class)

    Simple linear model for

    risk assessmentand feedback (MPC) control Microbial dynamics:

    exploiting image analysis information

    Application to (s)WWTPS

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    Complexity

    related to

    reaction kinetics

    * Metabolism of bacteriumAzospirillum brasilense

    * Quorum sensing of bacteriumSalmonella typhimurium*Lag/growth/inactivation/survival

    Case studies:

    Macroscopic/microscopiccell metabolism modeling

    Objective:

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    High added value of specialty chemicals(food additives, vaccins, enzymes, )

    Quantification of the influence of external signals on cell metabolism (A. brasilense), and

    quorum sensing (S. typhimurium).

    Optimal experimental design of

    bioreactor experiments

    Complexity

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    Primary modeling: identification of 14 parameters

    EFT [h] EFT [h]

    Co[%]

    Malate

    [g/L]

    OD578D

    [1/h]

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    Primary modeling: validation

    EFT [h] EFT [h]

    Co[%]

    Malate

    [g/L]

    OD578D

    [1/h]

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    Sensitivity function based model reduction

    Sensitivity functionsreflect the sensitivity of model predictions

    to (small) variations in model parameterswith given inputs

    time

    0

    5

    -5

    j

    i

    p

    y

    time

    0

    0.001

    -0.001

    j

    i

    p

    y

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    Reduced model: identification experiment

    EFT [h] EFT [h]

    Co[%]

    Malate

    [g/L]

    OD578D

    [1/h]

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    Reduced model: validation experiment

    EFT [h] EFT [h]

    Co[%]

    Malate

    [g/L]

    OD578D

    [1/h]

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    max

    Nmax

    Escherichia coli K12 (MG1655), Brain Heart infusion, 36.3C

    Microbial growth @ constant

    temperature

    Stationary phase

    Exponential phase

    Lag phase

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    Estimation of microbial growth kinetics as

    function of temperature

    Tmin Topt Tmaxsub-optimal temperature range

    )()( minmax TTbT

    SQUARE ROOT MODEL [Ratkowsky et al., 1982]

    b

    b minT

    Tmin

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    Constrained input optimisation

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    1st experiment: based on po

    Constrained input optimisation

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    2nd experiment: based on p1

    Constrained input optimisation

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    Global identification of experiment 1 & 2

    Constrained input optimisation

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    Milestones

    Macroscopic modeling: Sensitivity functionanalysis as a powerful tool to reduce the complexityof a physiology based, first principles model

    Microscopic modeling:IBM (Individual based Modeling) linking

    bio-informatics, with

    macroscopic mass balance type models

    Optimal experimental design of computercontrolled bioreactor experiments

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    Complexity

    related to

    reactionkinetics

    Fed-batch growth

    process with non-monotonic kinetics

    Case study:

    Feedback stabilization:keep Cs constant

    Objective:

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    Case study

    u

    time

    Two valued function!

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    Case study

    u

    time

    Two valued function!

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    Case study

    u

    time

    Two valued function!

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    Controller (on-line Cx measurements)

    Feedforward (OC) Stabilizing feedback

    observer

    I-action

    P-action

    = +1 = -1or

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    Stabilizing feedback controller for fed-batchnon-monotonic growth processes

    Only based on on-line biomassconcentration measurements

    Adaptive: no detailed kinetics informationneeded ( observer)

    Conclusions

    C l i

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    Complexity

    related to

    time & spacedependency

    Tubular chemical reactors

    Case study:

    Optimal jacket fluidtemperature control of- classicalreactors, and

    - novel typereactors

    Objective:

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    Tubular chemical reactor

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    C = reactant concentration[mole/L]

    T = reactor concentration[oK]

    Tw= jacket fluid temperature[oK]

    Model for tubular reactor: PDE/DPS

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    Combined terminal/integral objective

    Conversion

    Hot spots

    Temperaturerun-away

    Determine optimal jacket fluid temperature profile

    ( )2

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    Comparison with suboptimal profiles

    maximum-singular-minimum profile

    optimal, but

    singular part difficult to implement

    maximum-minimum profile

    not optimal, but

    practically realizable

    how much optimality is lost?

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    0.3

    Comparison with suboptimal profiles (I):

    Conversion

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    0.7

    Comparison with suboptimal profiles (II):

    Hot Spots

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    Milestones: optimal control theory for

    optimal analytical jacket fluid temperature

    profiles for classical chemical reactors

    steady state

    transient

    optimization ofnovel type reactors

    cyclically operated reverse flow reactors

    circulation loop reactors

    optimal reactordesign

    l di

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    Postludium

    Dealing with complexity during modeling foroptimization and control of

    (bio)chemical processes:

    a multimodal problem at the interface ofvarious disciplines

    We will pass several cases in review over theyears to come

    i i l

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    emerging generic results

    Development of widely applicable andtransferable quantitative tools for complex

    (bio)chemical processes

    WP3

    WP1 WP2

    WP4