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Model-based Optimization of a CompactCooking™
G2 Digesting Process Stage
Master’s thesis presentation for the degree of M.Sc. (Tech.) in Process
Systems Engineering (Process Automation)
Igor Saavedra
Supervisor: Prof. Sirkka-Liisa Jämsä-Jounela
Advisor: Dr.-Ing. Aldo Cipriano
Instructor: D.Sc. Olli Joutsimo
Tuesday January 26, 2016
Introduction
Pulp and Paper
• What is Pulp …
• Fibers sources
• Lignocellulosic
biomass
• Market pulp
• Softwood
• Hardwood
• and Paper?
• Paper products
• Fiber properties
Logs
Woodchips
Pulp
Introduction
Kraft Pulp Mill Process
Nueva Aldea Pulp Mill 1500+1500 Adt/d pine & euca, 91% ISO, 460MWth (95 MWe), 1000 L/s water inflow
Introduction
Problem Statement
• Digesting Stage Optimization
• Key area of the Kraft pulp mill
transforming woodchips into
brownstock and weak black
liquor by consuming steam and
white liquor
• Given an scenario of operating
costs and target production
rate: how do we cook pulp
optimally?
• CompactCooking G2 (Valmet),
digesting system found in the
mill, is a highly interacting
process that combines liquor
recycling and heat integration
Introduction
Goals, Scope and Novelty
• Main Goal
• Design a process optimizer able of minimizing cost or maximizing
profit rates of a CompactCooking G2 digesting stage.
• Specific Objectives
• Design and validate a dynamic model of the process stage.
• Design and perform a steady-state optimization routine based on
the previously validated model.
• Assess performance of theoretical optimal set-points versus current
mill set-points.
Introduction
Goals, Scope and Novelty
• Scope
• Development of an applied solution for the mill.
• Dynamic modeling of KPIs of stage such as
• Kappa number
• Production rates
• Temperatures and alkali concentrations
• Pulp intrinsic viscosity and cellulose DP
• “Cooking recipe” values:
• Liquor-to-wood ratios (L/W),
• Alkali charges (A/W),
• H-factor
• Dilution factor (DF) of the wash zone
• Phenomena to be modeled are chip bed compaction, cooking
reaction kinetics, and heat-exchanges within cooking liquors.
Introduction
Structure of the Thesis
Chapter 1 Introduction
LITERATURE PART
Chapter 2 The Kraft Pulp Mill
Chapter 3 Pulp Digesting Stage
Chapter 4 Mathematical Models on Pulp Digesters
EXPERIMENTAL PART
Chapter 5 Methods
Chapter 6 Process Description
Chapter 7 Mathematical Modeling
Chapter 8 Simulator Design
Chapter 9 Simulation Results
Chapter 10 Optimizer Design
Chapter 11 Optimization Results
Chapter 12 Conclusions
Appendix A Model-based Process Analysis
Literature Review
Mathematical Models on Pulp Digesters
• Review on first-principle modeling
Vroom (1957) H-Factor concept that describes the extent of delignification based on a
simple kinetic law using temperature and time as parameters
Hatton (1973; 1976) Equations relating cooking yield and kappa number with H-factor and
effective alkali for softwood and hardwood species. Later he applies this
work to Kraft cooking control.
Smith (1974) First version of the Purdue kinetic model. Wood solid is represented as 5
components, and parallel reaction kinetics are used to describe cooking
reactions.
Christensen (1982) Improved Purdue model by search algorithm to adjust kinetics parameters
for softwood and hardwood species. Liquor concentrations are also
calculated.
Gustafson et al. (1983) First version of the Gustafson kinetic model. Three stages cooking: initial,
bulk and residual. Wood solid is represented as 2 components: lignin and
carbs
Härkönen (1987) First 2D continuous digester model with emphasis on chips and fluid flow
dynamics with a simplified kinetic model. This contributed a framework for
bed compaction modeling used in almost all later developments.
Literature Review
Mathematical Models on Pulp Digesters
• Review on first-principle modeling
Saltin (1992) A dynamic, continuous digester model using the Purdue kinetics and a
simplified Härkönen bed compaction model. Implemented in GEMS.
Agarwal (1993) A steady-state, continuous digester model using Gustafson kinetics and
implemented by the single chip approach. It also incorporated a viscosity
model derived from Kubes et al. work and introduced the modelling of
diffusion and chip thickness by a sphere-equivalent chip model.
Implemented in GEMS.
Michelsen (1995) A dynamic, continuous digester model using a simplified Purdue-like
kinetics and a modified Härkönen bed compaction model that involves
solving a dynamic momentum balance for the chips phase. First modelling
approach of chip level variations. Implemented in MATLAB.
Wisnewski et al. (1997) A dynamic, continuous digester model with improved Purdue kinetics but
fixed bed compaction profile. It is also modelled the liquor concentration of
dissolved wood substance and the chip internal porosity. Implemented in
MATLAB.
He et al. (1999) First 3D model of a continuous digester based on Harkonen and
Michelsen fluid dynamics assumptions with a simplified kinetics model.
3D, dyn M&E&P balances
Literature Review
Mathematical Models on Pulp Digesters
• Review on first-principle modeling
Bhartiya et al. (2001) Continuation of Wisnewski et al. work incorporating advances made by
Michelsen. It also contributed a modelling approach for grade transition.
Implemented in MATLAB.
Andersson (2003) New kinetic model that combines Purdue and Gustafson approaches.
Wood substance is represented by 5x3 components.
Kayihan et al. (2005) A dynamic, continuous digester model based on Purdue kinetics, modified
Härkönen bed compaction, and Agarwal diffusion and chip thickness. It is
solved by a novel cinematic approach allowing to model chip level and
stochastic changes in chip size distribution. Implemented in MATLAB.
Rantanen (2006) A dynamic, continuous digester model based on Gustafson kinetics, Saltin
simplified bed compaction, and Agarwal diffusion and chip thickness. It is
applied to describe a LoSolids™ process (two-vessel stage) with grade
transition. Implemented in MATLAB.
Nieminen et al. (2014a,
2014b)
New kinetic models of lignin and carbohydrates degradation.
Delignification can be described with varying degrees of sophistication
(including Donnan equilibrium); and carbs degradation is modelled based
on the reaction mechanism of peeling, stopping and alkaline hydrolysis.
Reactions dependence on [OH-], [HS-] and [Na+] is considered.
Literature Review
Process Control and Optimization
• LP optimization
• Objective function as
• Cost or profit rate
• Cost or profit per unit of
product or educt
• Constraints on
• Flow rates, temperatures,
compaction pressures,
concentrations, etc.
• Linear input-output models
of the process
• SP-MV ( u=u(r) )
• PV-MV ( y=y(u) )
Process Description
CompactCooking G2 System
• Physical input
streams:
• Woodchips
• MP-steam
• White liquor
• Wash liquor
• Physical output
streams:
• Cooked pulp
Weak black
liquor
Simulator Design
Methodology
• The simulator aims to capture the
dynamic behavior of the system with
emphasis on interaction effects
• Changes in one input variable affect several
outputs in a non-linear form
• Some bias on the output is acceptable, but
poor correlation between measured and
simulated outputs is not.
• Simulator code builds upon parts of the Pulp
Mill Benchmark Model, updating it to
represent current cooking technologies
• CompactCooking G2 is a highly
interacting process, thus simulation of
the whole is a must for a rigorous
optimization effort
Start
Process flowsheet
abstraction
Conceptual model
IO variables
Conceptual model
states variables
Data acquisition and
conditioning for
testing
Test criteria are
met?
Testing runs and
parameter
adjustment
NO
End
Data acquisition and
conditioning for
validation
Validation run
Validation
criteria are met?
Validity domain
definition
NO
YES
YES
Model
implementation
Process
historian
P&ID, PFD, DCS
visualizations
Literature
submodels
Open source
models, code
libraries
Validated
simulation
model
Process
historian
ModelValidationModelTesting
Castro, J. J., & Doyle, F. J. (2004). A pulp mill benchmark problem for control: problem description.
Journal of Process Control, 14(1), 17–29.
Simulator Design
Model structure
• Logical inputs:
16 MVs
14 DVs
• Comparable
outputs:
29 PVs
• Total selected
outputs:
40 PV
Simulator Design
Simulink model
Simulator Design
Simulink model
Mathematical modeling
Main assumptions
• Vessels are tubular moving bed reactors
• Fixed levels
• Although levels were tried to be dynamically modeled, computation times
increase too much and numerical stability of the model is compromised
• Two-phases reacting system
• Concentrations on entrapped liquor are the same as on the free liquor
phase, thus total number of states is lowered
• 1D description on the axial direction of bed compaction and reaction
kinetics phenomena
• Heat-exchangers are perfectly mixed tanks
• Heat exchange occurs between hot and cold side at a given total heat
transfer coefficient UA
• Liquor densities are held constant, although composition is
dynamically modeled
• Liquor compositions vary solely due to retention times, no reaction
kinetics take place into heat-exchangers
Mathematical modeling
Main assumptions
• Woochips are composed of six mass entities
• Fast lignin, slow lignin, cellulose, (galacto)glucomanan,
(arabino)xylan, and extractives
• Extractives are represent as instantaneously leached when
entering the Impbin
• Liquor is composed of seven mass entities
• Sodium hydroxide NaOH(aq), sodium hydrosulfide NaSH(aq),
dissolved lignin, dissolved cellulose and so on
• Consumed NaOH and NaSH are accounted for density calculations
in order to keep mass balance consistency
𝜌𝑖 𝑤ℎ𝑒𝑟𝑒 𝑖 ∈ 𝐿 𝑓, 𝐿 𝑠, 𝐶, 𝐺𝑀, 𝑋, 𝐸
𝐶𝑗 𝑤ℎ𝑒𝑟𝑒 𝑗 ∈ 𝑁𝑎𝑂𝐻, 𝑁𝑎𝑆𝐻, 𝐷𝐿, 𝐷𝐶, 𝐷𝐺𝑀, 𝐷𝑋, 𝐷𝐸
Mathematical modeling
Bed Compaction
• Equations based on Härkönen model
𝜌 𝑐,𝑏 =
𝑖
𝜌𝑖 𝑧, 𝑡
𝑑𝑃𝑙
𝑑𝑧
= 𝑹 𝟏
1 − 𝜂 2
𝜂3 𝑢𝑙 + 𝑹 𝟐
1 − 𝜂
𝜂3 𝑢𝑙
2
𝑑𝑃𝑐
𝑑𝑧
= 𝜌𝑐,𝑤 − 𝜌𝑙 1 − 𝜂 𝑔 − 𝝁
𝑃𝑐,𝑒𝑥𝑡
𝐷
−
𝑑𝑃𝑙
𝑑𝑧
𝜂 = 𝒌 𝟎 +
𝑃𝑐 kPa
10
𝒌 𝟏
−𝒌 𝟐 + 𝒌 𝟑ln 𝜅
𝜄 = 1 − 𝜂 1 −
𝜌 𝑐,𝑏
𝝆 𝒘𝒐𝒐𝒅
𝜌𝑙 = 𝜌 𝑤 +
𝑗
𝐶𝑗 𝑧, 𝑡 𝜌𝑐,𝑤 =
𝜌 𝑤𝑜𝑜𝑑 1 − 𝜂 − 𝜄 + 𝜌𝑙 𝜄
1 − 𝜂
𝜂
𝜀
1 − 𝜂
1 − 𝜀
𝑃𝑐 𝑃𝑙
𝑑𝑉
Volumen fractions
𝜂 free liquor
𝜀 entrapped liquor
1 − 𝜂 woodchips
(1 − 𝜂)(1 − 𝜀) solid wood
Härkönen, E. J. (1984). A Mathematical Model for Two-Phase Flow (Doctoral dissertation). Helsinki University of Technology.
Härkönen, E. J. (1987). A mathematical model for two-phase flow in a continuous digester. Tappi Journal, 70(12), 122–126.
Mathematical modeling
Bed Compaction
• Experimental values from literature
Lee, Q. F. (2002). Fluid flow through packed columns of cooked wood chips (Master’s thesis). University of British Columbia.
Mathematical modeling
Reaction kinetics
• Equations based on Purdue model
𝜌𝑖 = 𝜌𝑖 𝑧, 𝑡 𝑖 ∈ 𝐿 𝑓(1), 𝐿 𝑠(2), 𝐶(3), 𝐺(4), 𝐴(5), 𝐸 6
𝐶𝑗 = 𝐶𝑗 𝑧, 𝑡 𝑗 ∈ 𝑁𝑎𝑂𝐻 1 , 𝑁𝑎𝑆𝐻 2 , 𝐷𝐿 3 , 𝐷𝐶 4 , 𝐷𝐺 5 , 𝐷𝐴 6 , 𝐷𝐸 7
𝑅𝑖 = −𝒆 𝒇 𝑘 𝑎𝑖 𝐶 𝑁𝑎𝑂𝐻
1
2 + 𝑘 𝑏𝑖 𝐶 𝑁𝑎𝑂𝐻
1
2 𝐶 𝑁𝑎𝑆𝐻
1
2 𝜌𝑖 − 𝝆𝒊
∞
𝑘 𝑎𝑖 = 𝑘 𝑎0𝑖exp
−𝐸 𝑎𝑖
𝑅𝑇
𝑘 𝑏𝑖 = 𝑘 𝑏0𝑖exp
−𝐸 𝑏𝑖
𝑅𝑇
𝑅 𝑁𝑎𝑂𝐻 =
1 − 𝜂
𝜂 + 𝜄
𝜷 𝑬𝑨𝑳
𝑖=1
2
𝑅𝑖 + 𝜷 𝑬𝑨𝑪
𝑖=3
5
𝑅𝑖
𝑅 𝑁𝑎𝑆𝐻 =
1 − 𝜂
𝜂
𝛽 𝐻𝑆𝐿
𝑖=1
2
𝑅𝑖
𝑅𝑗 =
1 − 𝜂
𝜂
𝑅𝑖
Wisnewski, P. A., Doyle, F. J., Kayihan, F. (1997). Fundamental Continuous Pulp-Digester Model for Simulation and Control. AIChE Journal, 43 (12), 3175-3192
Christensen, T. (1982,). A Mathematical Model of the Kraft Pulping Process (Doctoral Dissertation). Purdue University.
Smith, C. C. & Williams T. J. (1974). Mathematical Modeling, Simulation and Control of the Operation of Kamyr Continuous Digester for Kraft Process,
Tech. Rep. 64, PLAIC, Purdue University.
Mathematical modeling
Reaction kinetics
• Experimental values from literature
Wisnewski, P. A., Doyle, F. J., Kayihan, F. (1997). Fundamental Continuous Pulp-Digester Model for Simulation and Control. AIChE Journal, 43 (12), 3175-3192
Christensen, T. (1982). A Mathematical Model of the Kraft Pulping Process (PhD’s thesis). Purdue University.
Mathematical modeling
Vessel section
• Dynamic mass and energy balances
𝐴 1 − 𝜂 𝐶 𝑃,𝑠
𝑖
𝜌𝑖 + 𝐴 𝜂 + 𝜄 (𝐶 𝑃,𝑠
𝑗
𝐶𝑗 + 𝐶 𝑃,𝑤 𝜌 𝑤)
𝜕𝑇
𝜕𝑡
= −
1
𝜏 𝑐
𝐶 𝑃,𝑠
𝑖
𝜌𝑖 +
1
𝜏𝑙
𝐶 𝑃,𝑠
𝑗
𝐶𝑗 + 𝐶 𝑃,𝑤 𝜌 𝑤
𝜕𝑇
𝜕𝑧
+ 𝐴𝐻 𝑅
𝑖
𝑅𝑖
𝜕𝐶𝑗
𝜕𝑡
= −
1
𝜏𝑙
𝜕𝐶𝑗
𝜕𝑧
+ 𝑅𝑗
𝜕𝜌𝑖
𝜕𝑡
= −
1
𝜏 𝑐
𝜕𝜌𝑖
𝜕𝑧
+ 𝑅𝑖
1
𝜏𝑙
=
𝐹𝑙
𝐴 𝜂 + 𝜄
𝐹𝑙
𝐴
= 𝑢𝑙
1
𝜏 𝑐
=
𝐹𝑐
𝐴 1 − 𝜂
𝐹𝑐
𝐴
= 𝑢 𝑐
𝜂
𝜀
1 − 𝜂
1 − 𝜀
𝐹𝑐 𝐹𝑙
𝑑𝑉
Volumen fractions
𝜂 free liquor
𝜀 entrapped liquor
1 − 𝜂 woodchips
(1 − 𝜂)(1 − 𝜀) solid wood
• Steady-state momentum balance
Simulation Results
Testing (Pine)
Laboratory
off-line
measure-
ments with
long delay
Own
estimates.
NO
SENSOR
at the mill
Laboratory
off-line
measure-
ments with
delay
Manipulated variable (simulated)
Disturbance (simulated)
Output (simulated)
Mill data (measured)
Simulation Results
Testing (Pine)
DCS
estimate.
NO
SENSOR
Cooking and
bleaching
yield are
actually set
point
parameters
Prod. rate is
assumed
based on
yield set
points
Manipulated variable (simulated)
Disturbance (simulated)
Output (simulated)
Mill data (measured)
Simulation Results
Validation (Pine)
Manipulated variable (measured)
Disturbance (measured)
Output (simulated)
Mill data (measured)
Simulation Results
Validation (Pine)
Output (simulated)
Mill data (measured)
Simulation Results
Assessment
• In general, simulated outputs capture the main dynamic trends
with reasonable agreement
Model is operationally validated
• Simulated temperature signals show higher variability than
measured ones
• Improvements in the simulated heat-exchanger networks is required,
but this demands implementing several TI at the mill in order to
estimate U coefficients for each heat-exchanger (or to estimate U
within the model and to have output signals for comparison)
• Simulated blowline flow rate shows higher variability than
measured
• This might be generating a bias in the wash zone dilution factor
calculation
• One way to fix this involves using the signal as a logical input
(manipulated variable) and changing the model structure for bed
compaction calculation  Long-term effort
Optimizer Design
Methodology
• The routine tries to find a new cooking recipe that
optimize process economics by changing following
DCS setpoints:
 Liquor to wood ratio (L/W) for Impbin (bottom), Digester
cook zone 1 and 2
 Alkali charge (EA/W) for the whole area, fresh charge to
Impbin, and fresh charge to Digester
 Alkali splitting as white liquor flow distribution
 Cooking temperature (for H-Factor setpoint)
 Digester wash zone dilution factor (DF)
• Decision variables are taken as manipulated
variables, thus optimization outputs continue to be
the same as in the simulation model
• A previously validated model is a critical factor to
judge the optimization results
Optimizer Design
Objective Functions
Optimization Results
Raw Results (Pine)
U0
U profit
heuopt
U cost
heuopt
Chipmeter speed rpm 15.93 15.93 15.93
MP steam flow rate kg/s 10.27 7.23 11.05
White liquor flow rate l/s 65.05 78.87 43.00
Wash liquor flow rate l/s 151.41 116.56 111.18
Filter reject flow rate l/s 35.15 96.94 8.78
Middle extraction flow rate l/s 35.58 138.33 8.89
Transfer liquor flow rate l/s 232.52 58.13 341.89
Upper extraction flow rate l/s 114.11 527.65 266.82
Lower extraction flow rate l/s 126.10 31.52 45.70
White liquor split fraction 1 0.0922 0.2499 0.1068
White liquor split fraction 2 0.3995 0.0999 0.0999
White liquor split fraction 3 0.0000 0.0000 0.2362
Transfer liquor split fraction 1 0.2300 0.0575 0.0575
Transfer liquor split fraction 2 0.0223 0.0056 0.1674
Upper liquor split fraction 1 0.1397 0.0349 0.0349
Upper liquor split fraction 2 0.2406 0.8101 0.8101
Y0
Y profit
heuopt
Y cost
heuopt
Blowline flow rate l/s 148.47 152.10 137.39
Top liquor flow rate l/s 151.63 174.80 140.26
Bottom liquor flow rate l/s 198.67 276.57 313.93
Cooking Kappa 27.87 28.10 28.49
Blowline consistency w/v% 11.11 10.89 12.01
WBL consistency w/v% 11.06 11.48 12.46
Impbin top temp. C 98.93 112.47 106.44
Top liquor temp. C 127.74 141.99 140.31
Transfer liquor temp. C 119.26 134.58 133.86
Digester top temp. C 151.89 148.81 159.51
Upper extraction temp. C 157.99 151.62 165.13
Lower extraction temp. C 151.11 154.69 159.35
Blowline temp. C 100.99 100.70 101.32
White liquor hot temp. C 144.49 143.32 148.19
Lower extraction cold temp. C 146.08 145.20 150.17
Top liquor EA conc. g/l 32.39 28.44 22.37
Transfer liquor EA conc. g/l 14.21 15.13 8.77
Upper extraction EA conc. g/l 17.10 20.42 9.31
Lower extraction EA conc. g/l 10.09 13.32 4.55
Cooked pulp prod. rate ADt/d 1582.82 1589.45 1583.77
WBL prod. rate tDS/d 2120.25 2337.34 2027.56
Cooking yield % 46.37 46.55 46.38
Cooking wood sp. cons. m3sub/ADt 5.07 5.05 5.07
EA/W total % 22.29 24.66 18.51
EA/W impbin fresh % 8.08 5.10 5.64
EA/W digester fresh % 12.15 15.34 11.03
L/W impbin top m3/BDt 5.60 6.25 5.28
L/W impbin bottom m3/BDt 4.60 3.81 4.66
L/W digester top m3/BDt 6.09 11.21 7.38
L/W digester bottom m3/BDt 2.79 2.06 1.92
DF digester wash zone m3/ADt 0.67 0.14 0.45
Impbin max Pc kPa 13.88 14.92 12.99
Digester max Pc kPa 23.37 31.50 23.99
Blowline carryover kgDS/BDt 1.96 1.46 2.08
WBL heating value HHV MJ/kg dry 15.03 13.66 15.68
Technically feasible?
Digester hang?
Lignin precipitation risk?
Optimization Results
EconomicAssessment
• For each objective
function a new cooking
recipe has been
identified
• But “how much”
optimal are these
recipes?
Y0
Y profit
heuopt
Y cost
heuopt
Constraint set-points
Bleached pulp prod. rate ADt/d 1535
Cooking kappa κ 28
Computed set-points
EA/W total % 20.05 21.97 18.83
EA/W impbin fresh % 8.02 5.77 6.70
EA/W digester fresh % 12.03 16.20 12.13
L/W impbin top m3/BDt 5.58 5.98 5.18
L/W impbin bottom m3/BDt 4.58 3.44 4.22
L/W digester cook zone 1 m3/BDt 5.89 5.33 6.56
L/W digester cook zone 2 m3/BDt 2.86 3.30 2.62
DF digester wash zone m3/ADt 1.24 0.60 0.99
H-factor H 631.41 714.71 703.77
Simulated variables
Cooking kappa κ 28.66 28.62 28.62
Digester top temp. C 151.63 153.06 152.88
MP steam flow rate kg/s 10.27 8.07 9.40
Cooked pulp prod. rate ADt/d 1663.88 1689.62 1662.80
Cooking yield % 48.74 49.49 48.71
Cooking wood sp. cons. m3sub/ADt 4.82 4.75 4.83
Optimization Results
EconomicAssessment
Steady-state Optimization
380
400
420
440
460
Profit rate
USD/min
250
260
270
280
290
Cost rate
USD/min
360
370
380
390
400
Profit per ADt
USD/ADt
225
230
235
240
245
Cost per ADt
USD/ADt
0 500 1000 1500 2000
72
74
76
78
80
82
Profit per m3
sub
USD/m
3
sub
min
0 500 1000 1500 2000
47.5
48
48.5
49
49.5
Cost per m3
sub
min
USD/m
3
sub
Profit rate as o.f.
Cost rate as o.f.
Base case (ss)
Base case (dyn)
Optimization Results
EconomicAssessment
• Process economics can be evaluated from several point
of views. This work considers 3 definitions of profit/cost:
• per unit of time,
• per unit of actual cooked ADt
• per unit of actual woodchips m3sub consumed
• Optimized recipe for cost reduction results more attractive
economically than the profit recipe
• Savings per actual cooked ADt up to 4 USD/ADt
• For a line aiming to produce 1500 ADt/d, this represent up to 2.19
MM annual savings
Conclusions
Main Conclusions
• CompactCooking G2 system has been dynamically
modeled with fairly good results although high uncertainty
on process disturbance signals.
• An LP task can be formulated around an identified mill’s
steady state, thus permitting to calculate a new optimized
cooking recipe (optimization direction for mill setpoint
changes).
• Potential savings based on the model prediction may
reach up to 4 USD/ADt, what for a modern mill (1500 –
2000 ADt/d) represent savings in the order of 1 – 3 MM/y.
THANKS FOR YOUR ATTENTION!
Simulated Contribution
Anovel model-based process analysis technique
Simulated Contribution
Case study: CompactCooking G2 analysis
Simulated Contribution
Case study: CompactCooking G2 analysis
Simulated Contribution
Case study: CompactCooking G2 analysis
… i.e., temperature control scheme must be
improved in order to reduce cooking kappa
variability

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Model-based Optimization of a CompactCooking G2 Digesting Process Stage

  • 1. Model-based Optimization of a CompactCooking™ G2 Digesting Process Stage Master’s thesis presentation for the degree of M.Sc. (Tech.) in Process Systems Engineering (Process Automation) Igor Saavedra Supervisor: Prof. Sirkka-Liisa Jämsä-Jounela Advisor: Dr.-Ing. Aldo Cipriano Instructor: D.Sc. Olli Joutsimo Tuesday January 26, 2016
  • 2.
  • 3. Introduction Pulp and Paper • What is Pulp … • Fibers sources • Lignocellulosic biomass • Market pulp • Softwood • Hardwood • and Paper? • Paper products • Fiber properties Logs Woodchips Pulp
  • 4. Introduction Kraft Pulp Mill Process Nueva Aldea Pulp Mill 1500+1500 Adt/d pine & euca, 91% ISO, 460MWth (95 MWe), 1000 L/s water inflow
  • 5. Introduction Problem Statement • Digesting Stage Optimization • Key area of the Kraft pulp mill transforming woodchips into brownstock and weak black liquor by consuming steam and white liquor • Given an scenario of operating costs and target production rate: how do we cook pulp optimally? • CompactCooking G2 (Valmet), digesting system found in the mill, is a highly interacting process that combines liquor recycling and heat integration
  • 6. Introduction Goals, Scope and Novelty • Main Goal • Design a process optimizer able of minimizing cost or maximizing profit rates of a CompactCooking G2 digesting stage. • Specific Objectives • Design and validate a dynamic model of the process stage. • Design and perform a steady-state optimization routine based on the previously validated model. • Assess performance of theoretical optimal set-points versus current mill set-points.
  • 7. Introduction Goals, Scope and Novelty • Scope • Development of an applied solution for the mill. • Dynamic modeling of KPIs of stage such as • Kappa number • Production rates • Temperatures and alkali concentrations • Pulp intrinsic viscosity and cellulose DP • “Cooking recipe” values: • Liquor-to-wood ratios (L/W), • Alkali charges (A/W), • H-factor • Dilution factor (DF) of the wash zone • Phenomena to be modeled are chip bed compaction, cooking reaction kinetics, and heat-exchanges within cooking liquors.
  • 8. Introduction Structure of the Thesis Chapter 1 Introduction LITERATURE PART Chapter 2 The Kraft Pulp Mill Chapter 3 Pulp Digesting Stage Chapter 4 Mathematical Models on Pulp Digesters EXPERIMENTAL PART Chapter 5 Methods Chapter 6 Process Description Chapter 7 Mathematical Modeling Chapter 8 Simulator Design Chapter 9 Simulation Results Chapter 10 Optimizer Design Chapter 11 Optimization Results Chapter 12 Conclusions Appendix A Model-based Process Analysis
  • 9. Literature Review Mathematical Models on Pulp Digesters • Review on first-principle modeling Vroom (1957) H-Factor concept that describes the extent of delignification based on a simple kinetic law using temperature and time as parameters Hatton (1973; 1976) Equations relating cooking yield and kappa number with H-factor and effective alkali for softwood and hardwood species. Later he applies this work to Kraft cooking control. Smith (1974) First version of the Purdue kinetic model. Wood solid is represented as 5 components, and parallel reaction kinetics are used to describe cooking reactions. Christensen (1982) Improved Purdue model by search algorithm to adjust kinetics parameters for softwood and hardwood species. Liquor concentrations are also calculated. Gustafson et al. (1983) First version of the Gustafson kinetic model. Three stages cooking: initial, bulk and residual. Wood solid is represented as 2 components: lignin and carbs Härkönen (1987) First 2D continuous digester model with emphasis on chips and fluid flow dynamics with a simplified kinetic model. This contributed a framework for bed compaction modeling used in almost all later developments.
  • 10. Literature Review Mathematical Models on Pulp Digesters • Review on first-principle modeling Saltin (1992) A dynamic, continuous digester model using the Purdue kinetics and a simplified Härkönen bed compaction model. Implemented in GEMS. Agarwal (1993) A steady-state, continuous digester model using Gustafson kinetics and implemented by the single chip approach. It also incorporated a viscosity model derived from Kubes et al. work and introduced the modelling of diffusion and chip thickness by a sphere-equivalent chip model. Implemented in GEMS. Michelsen (1995) A dynamic, continuous digester model using a simplified Purdue-like kinetics and a modified Härkönen bed compaction model that involves solving a dynamic momentum balance for the chips phase. First modelling approach of chip level variations. Implemented in MATLAB. Wisnewski et al. (1997) A dynamic, continuous digester model with improved Purdue kinetics but fixed bed compaction profile. It is also modelled the liquor concentration of dissolved wood substance and the chip internal porosity. Implemented in MATLAB. He et al. (1999) First 3D model of a continuous digester based on Harkonen and Michelsen fluid dynamics assumptions with a simplified kinetics model. 3D, dyn M&E&P balances
  • 11. Literature Review Mathematical Models on Pulp Digesters • Review on first-principle modeling Bhartiya et al. (2001) Continuation of Wisnewski et al. work incorporating advances made by Michelsen. It also contributed a modelling approach for grade transition. Implemented in MATLAB. Andersson (2003) New kinetic model that combines Purdue and Gustafson approaches. Wood substance is represented by 5x3 components. Kayihan et al. (2005) A dynamic, continuous digester model based on Purdue kinetics, modified Härkönen bed compaction, and Agarwal diffusion and chip thickness. It is solved by a novel cinematic approach allowing to model chip level and stochastic changes in chip size distribution. Implemented in MATLAB. Rantanen (2006) A dynamic, continuous digester model based on Gustafson kinetics, Saltin simplified bed compaction, and Agarwal diffusion and chip thickness. It is applied to describe a LoSolids™ process (two-vessel stage) with grade transition. Implemented in MATLAB. Nieminen et al. (2014a, 2014b) New kinetic models of lignin and carbohydrates degradation. Delignification can be described with varying degrees of sophistication (including Donnan equilibrium); and carbs degradation is modelled based on the reaction mechanism of peeling, stopping and alkaline hydrolysis. Reactions dependence on [OH-], [HS-] and [Na+] is considered.
  • 12. Literature Review Process Control and Optimization • LP optimization • Objective function as • Cost or profit rate • Cost or profit per unit of product or educt • Constraints on • Flow rates, temperatures, compaction pressures, concentrations, etc. • Linear input-output models of the process • SP-MV ( u=u(r) ) • PV-MV ( y=y(u) )
  • 13. Process Description CompactCooking G2 System • Physical input streams: • Woodchips • MP-steam • White liquor • Wash liquor • Physical output streams: • Cooked pulp Weak black liquor
  • 14. Simulator Design Methodology • The simulator aims to capture the dynamic behavior of the system with emphasis on interaction effects • Changes in one input variable affect several outputs in a non-linear form • Some bias on the output is acceptable, but poor correlation between measured and simulated outputs is not. • Simulator code builds upon parts of the Pulp Mill Benchmark Model, updating it to represent current cooking technologies • CompactCooking G2 is a highly interacting process, thus simulation of the whole is a must for a rigorous optimization effort Start Process flowsheet abstraction Conceptual model IO variables Conceptual model states variables Data acquisition and conditioning for testing Test criteria are met? Testing runs and parameter adjustment NO End Data acquisition and conditioning for validation Validation run Validation criteria are met? Validity domain definition NO YES YES Model implementation Process historian P&ID, PFD, DCS visualizations Literature submodels Open source models, code libraries Validated simulation model Process historian ModelValidationModelTesting Castro, J. J., & Doyle, F. J. (2004). A pulp mill benchmark problem for control: problem description. Journal of Process Control, 14(1), 17–29.
  • 15. Simulator Design Model structure • Logical inputs: 16 MVs 14 DVs • Comparable outputs: 29 PVs • Total selected outputs: 40 PV
  • 18. Mathematical modeling Main assumptions • Vessels are tubular moving bed reactors • Fixed levels • Although levels were tried to be dynamically modeled, computation times increase too much and numerical stability of the model is compromised • Two-phases reacting system • Concentrations on entrapped liquor are the same as on the free liquor phase, thus total number of states is lowered • 1D description on the axial direction of bed compaction and reaction kinetics phenomena • Heat-exchangers are perfectly mixed tanks • Heat exchange occurs between hot and cold side at a given total heat transfer coefficient UA • Liquor densities are held constant, although composition is dynamically modeled • Liquor compositions vary solely due to retention times, no reaction kinetics take place into heat-exchangers
  • 19. Mathematical modeling Main assumptions • Woochips are composed of six mass entities • Fast lignin, slow lignin, cellulose, (galacto)glucomanan, (arabino)xylan, and extractives • Extractives are represent as instantaneously leached when entering the Impbin • Liquor is composed of seven mass entities • Sodium hydroxide NaOH(aq), sodium hydrosulfide NaSH(aq), dissolved lignin, dissolved cellulose and so on • Consumed NaOH and NaSH are accounted for density calculations in order to keep mass balance consistency 𝜌𝑖 𝑤ℎ𝑒𝑟𝑒 𝑖 ∈ 𝐿 𝑓, 𝐿 𝑠, 𝐶, 𝐺𝑀, 𝑋, 𝐸 𝐶𝑗 𝑤ℎ𝑒𝑟𝑒 𝑗 ∈ 𝑁𝑎𝑂𝐻, 𝑁𝑎𝑆𝐻, 𝐷𝐿, 𝐷𝐶, 𝐷𝐺𝑀, 𝐷𝑋, 𝐷𝐸
  • 20. Mathematical modeling Bed Compaction • Equations based on Härkönen model 𝜌 𝑐,𝑏 = 𝑖 𝜌𝑖 𝑧, 𝑡 𝑑𝑃𝑙 𝑑𝑧 = 𝑹 𝟏 1 − 𝜂 2 𝜂3 𝑢𝑙 + 𝑹 𝟐 1 − 𝜂 𝜂3 𝑢𝑙 2 𝑑𝑃𝑐 𝑑𝑧 = 𝜌𝑐,𝑤 − 𝜌𝑙 1 − 𝜂 𝑔 − 𝝁 𝑃𝑐,𝑒𝑥𝑡 𝐷 − 𝑑𝑃𝑙 𝑑𝑧 𝜂 = 𝒌 𝟎 + 𝑃𝑐 kPa 10 𝒌 𝟏 −𝒌 𝟐 + 𝒌 𝟑ln 𝜅 𝜄 = 1 − 𝜂 1 − 𝜌 𝑐,𝑏 𝝆 𝒘𝒐𝒐𝒅 𝜌𝑙 = 𝜌 𝑤 + 𝑗 𝐶𝑗 𝑧, 𝑡 𝜌𝑐,𝑤 = 𝜌 𝑤𝑜𝑜𝑑 1 − 𝜂 − 𝜄 + 𝜌𝑙 𝜄 1 − 𝜂 𝜂 𝜀 1 − 𝜂 1 − 𝜀 𝑃𝑐 𝑃𝑙 𝑑𝑉 Volumen fractions 𝜂 free liquor 𝜀 entrapped liquor 1 − 𝜂 woodchips (1 − 𝜂)(1 − 𝜀) solid wood Härkönen, E. J. (1984). A Mathematical Model for Two-Phase Flow (Doctoral dissertation). Helsinki University of Technology. Härkönen, E. J. (1987). A mathematical model for two-phase flow in a continuous digester. Tappi Journal, 70(12), 122–126.
  • 21. Mathematical modeling Bed Compaction • Experimental values from literature Lee, Q. F. (2002). Fluid flow through packed columns of cooked wood chips (Master’s thesis). University of British Columbia.
  • 22. Mathematical modeling Reaction kinetics • Equations based on Purdue model 𝜌𝑖 = 𝜌𝑖 𝑧, 𝑡 𝑖 ∈ 𝐿 𝑓(1), 𝐿 𝑠(2), 𝐶(3), 𝐺(4), 𝐴(5), 𝐸 6 𝐶𝑗 = 𝐶𝑗 𝑧, 𝑡 𝑗 ∈ 𝑁𝑎𝑂𝐻 1 , 𝑁𝑎𝑆𝐻 2 , 𝐷𝐿 3 , 𝐷𝐶 4 , 𝐷𝐺 5 , 𝐷𝐴 6 , 𝐷𝐸 7 𝑅𝑖 = −𝒆 𝒇 𝑘 𝑎𝑖 𝐶 𝑁𝑎𝑂𝐻 1 2 + 𝑘 𝑏𝑖 𝐶 𝑁𝑎𝑂𝐻 1 2 𝐶 𝑁𝑎𝑆𝐻 1 2 𝜌𝑖 − 𝝆𝒊 ∞ 𝑘 𝑎𝑖 = 𝑘 𝑎0𝑖exp −𝐸 𝑎𝑖 𝑅𝑇 𝑘 𝑏𝑖 = 𝑘 𝑏0𝑖exp −𝐸 𝑏𝑖 𝑅𝑇 𝑅 𝑁𝑎𝑂𝐻 = 1 − 𝜂 𝜂 + 𝜄 𝜷 𝑬𝑨𝑳 𝑖=1 2 𝑅𝑖 + 𝜷 𝑬𝑨𝑪 𝑖=3 5 𝑅𝑖 𝑅 𝑁𝑎𝑆𝐻 = 1 − 𝜂 𝜂 𝛽 𝐻𝑆𝐿 𝑖=1 2 𝑅𝑖 𝑅𝑗 = 1 − 𝜂 𝜂 𝑅𝑖 Wisnewski, P. A., Doyle, F. J., Kayihan, F. (1997). Fundamental Continuous Pulp-Digester Model for Simulation and Control. AIChE Journal, 43 (12), 3175-3192 Christensen, T. (1982,). A Mathematical Model of the Kraft Pulping Process (Doctoral Dissertation). Purdue University. Smith, C. C. & Williams T. J. (1974). Mathematical Modeling, Simulation and Control of the Operation of Kamyr Continuous Digester for Kraft Process, Tech. Rep. 64, PLAIC, Purdue University.
  • 23. Mathematical modeling Reaction kinetics • Experimental values from literature Wisnewski, P. A., Doyle, F. J., Kayihan, F. (1997). Fundamental Continuous Pulp-Digester Model for Simulation and Control. AIChE Journal, 43 (12), 3175-3192 Christensen, T. (1982). A Mathematical Model of the Kraft Pulping Process (PhD’s thesis). Purdue University.
  • 24. Mathematical modeling Vessel section • Dynamic mass and energy balances 𝐴 1 − 𝜂 𝐶 𝑃,𝑠 𝑖 𝜌𝑖 + 𝐴 𝜂 + 𝜄 (𝐶 𝑃,𝑠 𝑗 𝐶𝑗 + 𝐶 𝑃,𝑤 𝜌 𝑤) 𝜕𝑇 𝜕𝑡 = − 1 𝜏 𝑐 𝐶 𝑃,𝑠 𝑖 𝜌𝑖 + 1 𝜏𝑙 𝐶 𝑃,𝑠 𝑗 𝐶𝑗 + 𝐶 𝑃,𝑤 𝜌 𝑤 𝜕𝑇 𝜕𝑧 + 𝐴𝐻 𝑅 𝑖 𝑅𝑖 𝜕𝐶𝑗 𝜕𝑡 = − 1 𝜏𝑙 𝜕𝐶𝑗 𝜕𝑧 + 𝑅𝑗 𝜕𝜌𝑖 𝜕𝑡 = − 1 𝜏 𝑐 𝜕𝜌𝑖 𝜕𝑧 + 𝑅𝑖 1 𝜏𝑙 = 𝐹𝑙 𝐴 𝜂 + 𝜄 𝐹𝑙 𝐴 = 𝑢𝑙 1 𝜏 𝑐 = 𝐹𝑐 𝐴 1 − 𝜂 𝐹𝑐 𝐴 = 𝑢 𝑐 𝜂 𝜀 1 − 𝜂 1 − 𝜀 𝐹𝑐 𝐹𝑙 𝑑𝑉 Volumen fractions 𝜂 free liquor 𝜀 entrapped liquor 1 − 𝜂 woodchips (1 − 𝜂)(1 − 𝜀) solid wood • Steady-state momentum balance
  • 25. Simulation Results Testing (Pine) Laboratory off-line measure- ments with long delay Own estimates. NO SENSOR at the mill Laboratory off-line measure- ments with delay Manipulated variable (simulated) Disturbance (simulated) Output (simulated) Mill data (measured)
  • 26. Simulation Results Testing (Pine) DCS estimate. NO SENSOR Cooking and bleaching yield are actually set point parameters Prod. rate is assumed based on yield set points Manipulated variable (simulated) Disturbance (simulated) Output (simulated) Mill data (measured)
  • 27. Simulation Results Validation (Pine) Manipulated variable (measured) Disturbance (measured) Output (simulated) Mill data (measured)
  • 28. Simulation Results Validation (Pine) Output (simulated) Mill data (measured)
  • 29. Simulation Results Assessment • In general, simulated outputs capture the main dynamic trends with reasonable agreement Model is operationally validated • Simulated temperature signals show higher variability than measured ones • Improvements in the simulated heat-exchanger networks is required, but this demands implementing several TI at the mill in order to estimate U coefficients for each heat-exchanger (or to estimate U within the model and to have output signals for comparison) • Simulated blowline flow rate shows higher variability than measured • This might be generating a bias in the wash zone dilution factor calculation • One way to fix this involves using the signal as a logical input (manipulated variable) and changing the model structure for bed compaction calculation  Long-term effort
  • 30. Optimizer Design Methodology • The routine tries to find a new cooking recipe that optimize process economics by changing following DCS setpoints:  Liquor to wood ratio (L/W) for Impbin (bottom), Digester cook zone 1 and 2  Alkali charge (EA/W) for the whole area, fresh charge to Impbin, and fresh charge to Digester  Alkali splitting as white liquor flow distribution  Cooking temperature (for H-Factor setpoint)  Digester wash zone dilution factor (DF) • Decision variables are taken as manipulated variables, thus optimization outputs continue to be the same as in the simulation model • A previously validated model is a critical factor to judge the optimization results
  • 32. Optimization Results Raw Results (Pine) U0 U profit heuopt U cost heuopt Chipmeter speed rpm 15.93 15.93 15.93 MP steam flow rate kg/s 10.27 7.23 11.05 White liquor flow rate l/s 65.05 78.87 43.00 Wash liquor flow rate l/s 151.41 116.56 111.18 Filter reject flow rate l/s 35.15 96.94 8.78 Middle extraction flow rate l/s 35.58 138.33 8.89 Transfer liquor flow rate l/s 232.52 58.13 341.89 Upper extraction flow rate l/s 114.11 527.65 266.82 Lower extraction flow rate l/s 126.10 31.52 45.70 White liquor split fraction 1 0.0922 0.2499 0.1068 White liquor split fraction 2 0.3995 0.0999 0.0999 White liquor split fraction 3 0.0000 0.0000 0.2362 Transfer liquor split fraction 1 0.2300 0.0575 0.0575 Transfer liquor split fraction 2 0.0223 0.0056 0.1674 Upper liquor split fraction 1 0.1397 0.0349 0.0349 Upper liquor split fraction 2 0.2406 0.8101 0.8101 Y0 Y profit heuopt Y cost heuopt Blowline flow rate l/s 148.47 152.10 137.39 Top liquor flow rate l/s 151.63 174.80 140.26 Bottom liquor flow rate l/s 198.67 276.57 313.93 Cooking Kappa 27.87 28.10 28.49 Blowline consistency w/v% 11.11 10.89 12.01 WBL consistency w/v% 11.06 11.48 12.46 Impbin top temp. C 98.93 112.47 106.44 Top liquor temp. C 127.74 141.99 140.31 Transfer liquor temp. C 119.26 134.58 133.86 Digester top temp. C 151.89 148.81 159.51 Upper extraction temp. C 157.99 151.62 165.13 Lower extraction temp. C 151.11 154.69 159.35 Blowline temp. C 100.99 100.70 101.32 White liquor hot temp. C 144.49 143.32 148.19 Lower extraction cold temp. C 146.08 145.20 150.17 Top liquor EA conc. g/l 32.39 28.44 22.37 Transfer liquor EA conc. g/l 14.21 15.13 8.77 Upper extraction EA conc. g/l 17.10 20.42 9.31 Lower extraction EA conc. g/l 10.09 13.32 4.55 Cooked pulp prod. rate ADt/d 1582.82 1589.45 1583.77 WBL prod. rate tDS/d 2120.25 2337.34 2027.56 Cooking yield % 46.37 46.55 46.38 Cooking wood sp. cons. m3sub/ADt 5.07 5.05 5.07 EA/W total % 22.29 24.66 18.51 EA/W impbin fresh % 8.08 5.10 5.64 EA/W digester fresh % 12.15 15.34 11.03 L/W impbin top m3/BDt 5.60 6.25 5.28 L/W impbin bottom m3/BDt 4.60 3.81 4.66 L/W digester top m3/BDt 6.09 11.21 7.38 L/W digester bottom m3/BDt 2.79 2.06 1.92 DF digester wash zone m3/ADt 0.67 0.14 0.45 Impbin max Pc kPa 13.88 14.92 12.99 Digester max Pc kPa 23.37 31.50 23.99 Blowline carryover kgDS/BDt 1.96 1.46 2.08 WBL heating value HHV MJ/kg dry 15.03 13.66 15.68 Technically feasible? Digester hang? Lignin precipitation risk?
  • 33. Optimization Results EconomicAssessment • For each objective function a new cooking recipe has been identified • But “how much” optimal are these recipes? Y0 Y profit heuopt Y cost heuopt Constraint set-points Bleached pulp prod. rate ADt/d 1535 Cooking kappa κ 28 Computed set-points EA/W total % 20.05 21.97 18.83 EA/W impbin fresh % 8.02 5.77 6.70 EA/W digester fresh % 12.03 16.20 12.13 L/W impbin top m3/BDt 5.58 5.98 5.18 L/W impbin bottom m3/BDt 4.58 3.44 4.22 L/W digester cook zone 1 m3/BDt 5.89 5.33 6.56 L/W digester cook zone 2 m3/BDt 2.86 3.30 2.62 DF digester wash zone m3/ADt 1.24 0.60 0.99 H-factor H 631.41 714.71 703.77 Simulated variables Cooking kappa κ 28.66 28.62 28.62 Digester top temp. C 151.63 153.06 152.88 MP steam flow rate kg/s 10.27 8.07 9.40 Cooked pulp prod. rate ADt/d 1663.88 1689.62 1662.80 Cooking yield % 48.74 49.49 48.71 Cooking wood sp. cons. m3sub/ADt 4.82 4.75 4.83
  • 34. Optimization Results EconomicAssessment Steady-state Optimization 380 400 420 440 460 Profit rate USD/min 250 260 270 280 290 Cost rate USD/min 360 370 380 390 400 Profit per ADt USD/ADt 225 230 235 240 245 Cost per ADt USD/ADt 0 500 1000 1500 2000 72 74 76 78 80 82 Profit per m3 sub USD/m 3 sub min 0 500 1000 1500 2000 47.5 48 48.5 49 49.5 Cost per m3 sub min USD/m 3 sub Profit rate as o.f. Cost rate as o.f. Base case (ss) Base case (dyn)
  • 35. Optimization Results EconomicAssessment • Process economics can be evaluated from several point of views. This work considers 3 definitions of profit/cost: • per unit of time, • per unit of actual cooked ADt • per unit of actual woodchips m3sub consumed • Optimized recipe for cost reduction results more attractive economically than the profit recipe • Savings per actual cooked ADt up to 4 USD/ADt • For a line aiming to produce 1500 ADt/d, this represent up to 2.19 MM annual savings
  • 36. Conclusions Main Conclusions • CompactCooking G2 system has been dynamically modeled with fairly good results although high uncertainty on process disturbance signals. • An LP task can be formulated around an identified mill’s steady state, thus permitting to calculate a new optimized cooking recipe (optimization direction for mill setpoint changes). • Potential savings based on the model prediction may reach up to 4 USD/ADt, what for a modern mill (1500 – 2000 ADt/d) represent savings in the order of 1 – 3 MM/y.
  • 37. THANKS FOR YOUR ATTENTION!
  • 38. Simulated Contribution Anovel model-based process analysis technique
  • 39. Simulated Contribution Case study: CompactCooking G2 analysis
  • 40. Simulated Contribution Case study: CompactCooking G2 analysis
  • 41. Simulated Contribution Case study: CompactCooking G2 analysis … i.e., temperature control scheme must be improved in order to reduce cooking kappa variability

Hinweis der Redaktion

  1. First of all, I would like to start this presentation from a reflection that motivates the subject of the thesis. It is about the forest industry, our consumption habits, and the role of the engineers. We are probably producing much more paper products than what we really need, and this is putting a huge burden on our natural resources. As engineers, we are far from being to able to solve this problem, but we can do our best with the aim of optimizing our production processes. In this sense, we should minimize the consumption of energy, water, and chemicals, as well as the generation of environmental emissions. This is certainly not an easy task. However, today we have amazing tools in the field of process modeling & simulation that must leveraged if we really want to arrive to better solutions for the pulp & paper industry.
  2. OK. But, what is pulp and paper? Types of fiber sources: primary and secondary Lignocellulosic biomass: softwood and hardwood Fiber properties: tensile, tear, burst indices among several others (density, opacity, brightness, etc) Fiberization and lignin fraction -> kappa number White liquor: sodium hydroxide and sodium sulphide (Na2S) turn into effective alkali and sodium hydrosulphide (NaHS)
  3. Kraft cooking, white liquor composition, temperature and residence time –> H-factor
  4. Blue plots: MV Green plots: DV Black plots: estimated signal e.g. woodchips flow is estimated from chip meter rpm and woodchip bulk density as seen by DCS (not shown)
  5. In a rigorous model structure, flow rate of the cooked pulp stream should be a logical input for the model, and vessel levels would be outputs instead. However, due to the difficulty of modeling vessel levels, these are fixed and cooked pulp stream is seen as an output signal. Original DCS visualization has an error as it doesn’t show one more black liquor split point, for this reason one circle seems to be pointing to no-split.
  6. Except for 3 signals (Temp Woodchips, Temp MP-Steam, and Pressure MP-Steam) all the rest are highly uncertain since there is no online instrument available. Instrumentation could be installed demanding low capital investment for measuring several of these signals.
  7. Grey signals are covered by simulated signals, i.e., the model takes input signals identical to actual mill as measured data (except for noise filtering)
  8. Blue plots: Inputs – Manipulated Variables Green plots: Inputs - Disturbances Red plots: Outputs Grey plots: Mill data
  9. Blue plots: Inputs – Manipulated Variables Green plots: Inputs - Disturbances Red plots: Outputs Gray plots: Mill data
  10. Grey signals are covered by simulated signals, i.e., the model takes input signals identical to actual mill as measured data (except for noise filtering)
  11. Blue plots: MV Green plots: DV Black plots: estimated signal e.g. woodchips flow is estimated from chip meter rpm and woodchip bulk density as seen by DCS (not shown)
  12. Blue plots: MV Green plots: DV Black plots: estimated signal e.g. woodchips flow is estimated from chip meter rpm and woodchip bulk density as seen by DCS (not shown)
  13. Blue plots: MV Green plots: DV Black plots: estimated signal e.g. woodchips flow is estimated from chip meter rpm and woodchip bulk density as seen by DCS (not shown)
  14. Blue plots: MV Green plots: DV Black plots: estimated signal e.g. woodchips flow is estimated from chip meter rpm and woodchip bulk density as seen by DCS (not shown)
  15. Blue plots: MV Green plots: DV Black plots: estimated signal e.g. woodchips flow is estimated from chip meter rpm and woodchip bulk density as seen by DCS (not shown)
  16. Blue plots: MV Green plots: DV Black plots: estimated signal e.g. woodchips flow is estimated from chip meter rpm and woodchip bulk density as seen by DCS (not shown)