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8/3/2019 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