MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.
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Transcript of MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.
![Page 1: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/1.jpg)
MULTIPERIOD DESIGN OFAZEOTROPIC SEPARATION
SYSTEMS
Kenneth H. Tyner
and
Arthur W. Westerberg
![Page 2: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/2.jpg)
OVERVIEW
• Problem Description
• Problem Challenges
• Related Research Issues
• Solution Approach
• Conclusions
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PROBLEM DESCRIPTION
• Design An Optimal Separation Plant
• Multiple Feeds– Flowrate
– Composition
– Operating Time
• Azeotropes
A
B
CAz
F1
F3F2
![Page 4: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/4.jpg)
PROBLEM DESCRIPTION
A
B
CAz
F1
F3F2
F
A
B
C
Az
![Page 5: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/5.jpg)
PROBLEM DESCRIPTION
A
B
CAz
F1
F3F2
F
A
B
C
![Page 6: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/6.jpg)
PROBLEM DESCRIPTIONFEED 1 FEED 3FEED 2
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PROBLEM DESCRIPTIONFEED 1 FEED 3FEED 2
![Page 8: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/8.jpg)
PROBLEM DESCRIPTIONFEED 1 FEED 3FEED 2
![Page 9: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/9.jpg)
PROBLEM DESCRIPTIONFEED 1 FEED 3FEED 2
![Page 10: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/10.jpg)
PROBLEM DESCRIPTIONFEED 1 FEED 3FEED 2
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PROBLEM CHALLENGES• Highly Combinatorial
– Separation Pathways– Process Units– Task Assignment
• Difficult Subproblems– Large Models– Highly Nonlinear– Recycle Streams– Shared Equipment
![Page 12: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/12.jpg)
INITIAL RESEARCH THRUSTS
• Synthesize Designs
• Evaluate Designs
• Optimize / Modify Designs
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AZEOTROPIC SYNTHESIS
A
B
CAz
F
F
A
B
C
Az
![Page 14: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/14.jpg)
AZEOTROPIC SYNTHESIS
A
B
CAz
F
A
B
C
Az
F
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AZEOTROPIC SYNTHESIS
A
B
CAz
F
F
A
B
C
![Page 16: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/16.jpg)
SIMULATION
ZeroSlack
S
S
S
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SIMULATION
Solve / Optimize
Initialize
ModifyLibrary
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REVISED RESEARCH THRUSTS
• Collocation Error Detection
• Scaling
• Solver Design
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SIMULATION
Solve / Optimize
Initialize
ModifyLibrary
![Page 20: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/20.jpg)
SOLUTION APPROACH
• Approximation– Separation Task– Column Design and Operation
• Shortcut Costing
• Autonomous Agents
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ECONOMICS
Cost = F( Feed, Distillate, Trays, Reflux )
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ECONOMICS
Cost = F( Feed, Distillate, Trays, Reflux )
Separation TaskContribution
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ECONOMICS
Cost = F( Feed, Distillate, Trays, Reflux )
Separation TaskContribution
Column Design and OperationContributions
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TASK APPROXIMATION
• Variables:– Compositions
– Flowrates
• Relations:– Mass Balance
– Lever Rule
– Geometric Objects
A
B
CAz
F
D / F
D
B
![Page 25: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/25.jpg)
COLUMN APPROXIMATION
• Cost = F(Feed, Distillate, Trays, Reflux)
• Reflux = F(Trays, Feed Location)
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COLUMN APPROXIMATION
• Cost = F(Feed, Distillate, Trays, Reflux)
• Reflux = F(Trays)
• Optimal Feed Location = F(Trays)
![Page 27: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/27.jpg)
COLUMN APPROXIMATION
• Reflux = C1 * exp(-C2 * Trays) + C3
• Opt Feed Loc = C4 * Trays + C5
– Numerical Difficulties
• Gilliland Correlation
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DATA COLLECTION
• Fix Trays and Task• Find Optimal Reflux
0
2
4
6
8
0 0.2 0.4 0.6 0.8
Feed Location
Ref
lux
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DATA COLLECTION
8
10
12
14
16
18
20
22
30 35 40 45 50 55 60 65
Trays
Ref
lux
00.050.10.150.20.250.30.350.40.450.5
Fee
d L
ocat
ion
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DATA COLLECTION
A
B
CAz
Store InDatabase
CalculateParameters
![Page 31: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/31.jpg)
SIMULATION
F
A
B
C
Az
A
B
CAz
F
Database
![Page 32: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/32.jpg)
SIMULATION
F
A
B
C
Az
A
B
CAz
F
Database
![Page 33: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/33.jpg)
SIMULATION
ZeroSlack
S
S
S
![Page 34: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/34.jpg)
ASYNCHRONOUS TEAMS
• Independent Software Agents
• Shared Memory
Trial Points
Newton Solver Gradient Solver
![Page 35: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/35.jpg)
ASYNCHRONOUS TEAMS
• Independent Software Agents
• Shared Memory
Trial Points
Newton Solver Gradient Solver
![Page 36: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/36.jpg)
ASYNCHRONOUS TEAMS
• Independent Software Agents
• Shared Memory
Trial Points
Newton Solver Gradient Solver
![Page 37: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/37.jpg)
ASYNCHRONOUS TEAMS
• Independent Software Agents
• Shared Memory
Trial Points
Newton Solver Gradient Solver
![Page 38: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/38.jpg)
ASYNCHRONOUS TEAMS
• Independent Software Agents
• Shared Memory
• Advantages– Scalable– Ease of Creation / Maintenance– Cooperation
![Page 39: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/39.jpg)
ASYNCHRONOUS TEAMS
• Applications– Train Scheduling– Travelling Salesman Problem– Building Design
![Page 40: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/40.jpg)
ASYNCHRONOUS TEAMS
ProblemDescription
ApproximationData
Designs
Database
DesignAgents
ApproximationAgents
![Page 41: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/41.jpg)
MINLP DESIGN AGENT
• Fixed:– Separation Pathways– Intermediate Streams
• Variable:– Task Assignment – Number of Columns– Column Dimensions– Operating Policy
![Page 42: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/42.jpg)
MINLP DESIGN AGENT
• Fixed:– Separation Pathways– Intermediate Streams
• Variable:– Task Assignment– Number of Columns– Column Dimensions– Operating Policy
![Page 43: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/43.jpg)
MINLP DESIGN AGENT
• Fixed:– Separation Pathways– Intermediate Streams
• Variable:– Task Assignment– Number of Columns– Column Dimensions– Operating Policy
![Page 44: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/44.jpg)
TASK ASSIGNMENT
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
20 30 40 50 60
Trays
Dia
mete
r
![Page 45: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/45.jpg)
TASK ASSIGNMENT
$500,000.00
$600,000.00
$700,000.00
$800,000.00
$900,000.00
$1,000,000.00
$1,100,000.00
1 2 3 4 5 6 7
![Page 46: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/46.jpg)
PATH SELECTION
• Sequential Selection
• Genetic Algorithm
• Active Constraint
![Page 47: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/47.jpg)
MINLP DESIGN AGENT
• Fixed:– Separation Pathways– Intermediate Streams
• Variable:– Task Assignment– Number of Columns– Column Dimensions– Operating Policy
![Page 48: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/48.jpg)
ASYNCHRONOUS TEAMS
ProblemDescription
ApproximationData
Designs
Database
DesignAgents
ApproximationAgents
![Page 49: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/49.jpg)
GENERAL BENEFITS
• Alternative to Hierarchical Design
• Persistent Data
• Scenario Analysis
• Human Agents
![Page 50: MULTIPERIOD DESIGN OF AZEOTROPIC SEPARATION SYSTEMS Kenneth H. Tyner and Arthur W. Westerberg.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649e4f5503460f94b47422/html5/thumbnails/50.jpg)
MULTIPERIOD DESIGN OFAZEOTROPIC SEPARATION
SYSTEMS
Kenneth H. Tyner
and
Arthur W. Westerberg