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CH EN 5253
Process Design II
Lecture 20
Heat and Power Integration
February 26, 2020
Books
Product and Process Design Principles: Synthesis, Analysis and Evaluation
by Warren D. Seider , J. D Seader, Daniel R. Lewin, and Soemantri Widagdo
• Chapter 11
Chemical Engineering Design: Principles, Practice and Economics of Plant and
Process Design
by Gavin Towler, and Ray Sinnott
• Section 3.5 ( 2nd Edition)
2
Outlines
•Minimum Utility Target/ Maximum Energy Recovery
 Temperature-Interval (TI) method
 Composite Curve Method ( graphical)
 Linear Programming Method
•Networks for Maximum Energy Recovery
•Minimum Numbers of Heat Exchangers
 Breaking Heat Loops
 Stream Splitting
•Heat Integrated Distillation Trains
3
Considerations in Heat Integration
Heat Integration
• Make a list of HX
• Instead of using utilities can you use another
stream to heat/cool any streams?
• How much of this can you do without causing
operational problems?
• Can you use air to cool?
– Air is a low cost coolant.
• Less utilities = smaller cost of operations
2011
HPC REAC-2000
Q-2002
HPC VSSL-2000
2037
13
23
2024
XFS1
HPC SPLT-2001
30
2026
HPC PUMP-2000
2031
Q-2008
2012
HPC RCYL-2001
2032
6
HPC MIX-2000
2009
3
1
2004
HPC XCHG-2002
HPC MIX-2001
2010
HPC CMPR-2000
2002
Q-2001
7
2008
HPC XCHG- 2000
HPC XCHG-2001
2038
2039
2040
2041
HPC XCHG-2003
2014
2025
Q-2006
2050
2051
HPC XCHG-1008
HPC FAXR-2000
Q-2004
HPC FAXR-2002
Q-2005
HPC XCHG-2004
2042 2043
28
2052 2053
HPC XCHG-2007
2048 2049
HPC FAXR-2001
HPC SPLT-2000
2016
2015
HPC MIX-2002
2018
2017
Q-2003
HPC XCHG-2005
2044
2045
2019
HPC XCHG-2006
2020
2021
2046 2047
HPC VSSL-2001
HPC VSSL-2002
2022
HPC VSSL-2003
HPC XCHG-2009
Q-2007
2027
HPC RCYL-2002
2029
2101
HPC CMPR-2010
HPC MIX-2010
2102
HPC XCHG-2010
HPC XCHG-2011
2103
2104
2107
2108
HPC MIX-2011
2109 2110
HPC XCHG-2012
2114
2112
HPC VSSL-2010
HPC XCHG-2013
113
2105
2106
HPC SPLT-2010
HPC FAXR-2010
HPC FAXR-2011
HPC FAXR-2012
HPC MIX-2012
HPC VSSL-2011
HPC VSSL-2012
HPC VSSL-2013
HPC XCHG-2016
2115
2116
2117
2118
2119
2120
2121
2122
2146
2147
2123
125
2124
2129
2128
2127
HPC RCYL-2012
HPC SPLT-2011
2130
2126
HPC PUMP-2010
2131
Q-2108
2137
HPC RCYL-2011
2132
2005
2111
HPC MIX-2003
HPC CMPR-2001
2033
2034
Q-2009
HPC XCHG-2014
HPC XCHG-2015
Q-2104
Q-2103
Q-2105
HPC XCHG-2017
2142 2143
144 145
2148 2149
2138 2139
2140
2141
Q-2101
HPC SPLT-2003
2135
2035
Q-2106
HPC XCHG-2018
2150 2151
Q-107
HPC XCHG-2019
2152 2153
Q-2102
HPC REAC-2010
HPC RCYL-2000
HPC RCYL-2010
2036
2136
XFS2
MIX-100
2
Simple Heat Exchange Network
1 Hot Stream
1 Cold Stream
Simple Heat Exchange Network (HEN)
steam
cooling water
steam steam
water water
As ∆Tmin becomes less, utility demands become less. However, there is a
reasonable minimum ∆Tmin to provide a driving force for heat exchange (e.g. 10°C).
Example
2 Hot Streams
2 Cold Streams
Example: Minimize Utilities For 4 Streams
Total: 470
Total: 480
Note that total cooling demand is 10×104 Btu/hr more than total heating demand.
120
235
180
240
120
235
180
240
C1
C2
H1
H2
A possible Heat Exchange Network (HEN)
to Achieve Required Heating and Cooling
• Note that QCW – Qsteam = 10, which is required difference
Required hot utilities
(steam): 57.5
Required cold utilities
(cooling water): 67.5
Is this the minimum utility?
Required hot utilities (steam): 57.5 X 104 BTU/hr
Required cold utilities (cooling water): 67.5 X 104 BTU/hr
Minimum Utility Target/
Maximum Energy Recovery
Pinch Analysis
1.Temperature Interval Method
2.Composite Curve Method (Graphical)
3.Linear Programming
Temperature Interval Method
Pinch Analysis: Temperature Interval Method
Step 1: Adjust hot stream temperatures by subtracting ΔTmin
(This puts the streams in a common reference frame.)
Pinch Analysis: Temperature Interval Method
Step 2: Order the temperatures hot to cold:
250 : T0
240 : T1
235 : T2
180 : T3
150 : T4
120 : T5
Pinch Analysis: Temperature Interval Method
18
Step 3: For each temperature range (hot to next hottest),
determine which streams are in that interval and add up
the heat capacity rates of those streams
250
240
150
120 1.5
Pinch Analysis: Temperature Interval Method
19
Step 3: For each temperature range (hot to next
hottest), determine which streams are in that interval
and add up the heat capacity rates of those streams
250 – 240: H1
240 – 235: H1, H2, C2
235 – 180: H1, H2, C1, C2
180 – 150: H1, H2, C1
150 – 120: H2, C1
Pinch Analysis: Temperature Interval Method
20
Step 4: Multiply the combined heat capacity rate by the
temperature difference to get the energy needed to cool
or heat over that temperature range
250 : T0
240 : T1
235 : T2
180 : T3
150 : T4
120 : T5
Pinch Analysis: Temperature Interval Method
Step 5: Create a cascade of temperature intervals within which
energy balances are carried out
Pinch point
Note!
Energy can not flow from cold to hot.
Thus, we need to increase all of the levels
by 50 to make the pinch point = zero.
Pinch Analysis: Temperature Interval Method
Pinch Analysis
Actual Endpoint Temperatures!
ΔTapp
Hot side
One HEN
Cold side
One HEN
Graphical Method
Pinch Analysis: Graphical Method
Step 1: First, draw lines representing hot
streams being cooled, and cool streams being
heated, showing correct temperatures and with
a slope corresponding to the heat capacity rate
– Does not need to be lined up on x-axis yet
– Will be straight lines if C is not a function of
temperature; otherwise, they will bend
25
Pinch Analysis – Graphical Approach
• Initially, just get the temperatures and slope correct. Position on x-axis is
not yet important. Can be drawn so they don’t overlap.
26
260
100
120
140
160
180
200
220
240
0 2 4 6 8 10
Q (MMBtu/hr)
T
(°F)
H1
H2
C1
C2
Pinch Analysis – Graphical Approach
27
260
100
120
140
160
180
200
220
240
0 2 4 6 8 10
Q (MMBtu/hr)
T
(°F)
H1
H2
Common Temperature Region (160-250)
mCp= mCp (H1) + mCp (H2) = 3+1.5 =4.5
Step 2: Then, combine all the hot stream curves into one
composite curve with the lowest temperature crossing at Q = 0
H1+H2
Pinch Analysis: Graphical Method
28
260
100
120
140
160
180
200
220
240
0 2 4 6 8 10
Q (MMBtu/hr)
T
(°F)
H2
H1+H2
H1
C1
C2
Pinch Analysis: Graphical Method
29
260
100
120
140
160
180
200
220
240
0 2 4 6 8 10
Q (MMBtu/hr)
T
(°F)
Step 3: Combine the cold stream curves into a composite.
Horizontal position will be set in the next step.
H2
H1+H2
H1
C1
C2
C1+C2
Pinch Analysis: Graphical Method
30
260
100
120
140
160
180
200
220
240
0 2 4 6 8 10
Q (MMBtu/hr)
T
(°F)
10°
Step 4: Position the cold stream curve so that the pinch is ∆Tmin
(vertically) from the hot stream.
Pinch Analysis: Graphical Method
31
260
100
120
140
160
180
200
220
240
2 4 6 8 10
Q (MMBtu/hr)
T
(°F)
0.5
0.6
Step 5: Measure the hot and cold utilities requirements.
Linear Programming
33
Linear Programming (LP) method
Qsteam - R1 + 30 =0 ….. (LP.1)
R1 - R2+ 2.5 = 0 ….. (LP.2)
R2 - R3 - 82.5 = 0 ….. (LP.3)
R3-R4+75=0 ….. (LP.4)
R4-Qcw-15=0 ….. (LP.5)
Qsteam ,Qcw , R1 ,R2 , R3 ,R4 0 Constraints
Linear Form
• All values are positive
34
Solution Region
35
Feasible Space
Qsteam ,Qcw , R1 , R2 , R3 ,R4 0
Solution
36
Minimum Utility
When Qsteam is minimum, Qcw is also minimum
Solution
Qsteam =50
R1 =80
R2 =82.5
R3 =0
R4 =75
Qcw =60
Solution
Is this the minimum utility?
Required hot utilities (steam): 57.5 X 104 BTU/hr
Required cold utilities (cooling water): 67.5 X 104 BTU/hr
Required hot utilities (steam): 50 X 104 BTU/hr
Required cold utilities (cooling water): 60 X 104 BTU/hr
No
Minimum utility
Find the HEN for this minimum utility or maximum energy recovery.
Networks for Maximum
Energy Recovery
HEN For Maximum Energy Recovery
• Goal is to minimize the cost (number) of heat exchangers
while keeping duty required by external utilities to a
minimum
– Should be able to achieve theoretical minimum utility duty
• Sequence heat exchangers to achieve maximum overall
efficiency
• Use relation Q = C∆T to help simplify analysis
39
HEN For Maximum Energy Recovery
• Start with HEN for hot side of pinch
• Seek a matching stream to provide
cooling for hot stream
– Important that C of cold stream is
larger than or equal to C of hot stream!
• Calculate resulting exit temperature of
exchanger on cold stream
• Continue with hot streams, finally
making up any additional required duty
for heating the cold streams with
utilities (e.g. steam)
• Repeat for cold side, making up
required cooling with e.g. cooling water
40
Resulting HEN with Pinch
41
Hot side Cold side
Resulting HEN Layout
42
Hot side
Cold side
43
Comparison ( Minimum Utilities)
• Simple HEN • HEN with Min. Utilities
Saves
CW 7.5e4 BTU/hr
Steam 7.5e4 BTU/hr
HE = 7 ( 4 Interior + 3 Auxiliary)
HE = 6 ( 3 Interior + 3 Auxiliary)
Economical HENs
• CP,Ii
= Cost of HEs in the interior networks ( cold-hot streams)
• CP,Aj
= Cost of HEs in the auxiliary networks ( steam/cooling
water – hot/cold streams)
• Fs = Annual flow rate of steam ( kilograms/year)
• Fcw = Annual flow rate of cooling water ( kilograms/year)
• s = unit cost of steam ($/kilogram)
• cw = unit cost of cooling water ($/kilogram)
• im=return on investment
Optimization based on total cost
Minimum
CP=K(Area)0.6
Area=Q/(UF ΔTmin)
Effect of ΔTmin on total cost
ΔTmin  0
• True pinch is approached
• Area of heat transfer  
• Utility  minimum
ΔTmin  
• Area of heat transfer  0
• Utility  maximum
Tradeoff between Capital
cost and Utility cost
Threshold ΔTmin
If ΔTmin is such that no pinch exists
– Either hot or cold utility to be used, not both
• ΔTthres = minimum ΔTmin below no pinch exists
• A chemical company wants to design a HEN
with a pinch so that both hot/cold can be used
ΔTmin > ΔTthres
Minimum Numbers of Heat
Exchangers
Too Many Heat Exchangers
• Sometimes fewer Heat exchangers and increased
utilities leads to a lower annual cost
• Determine minimum number of HEs
NHx,min= Ns + NU – NNW
– s=No. streams
– U=No. discrete Utilities
• Hot utilities: Fuel, HPS, IPS, LPS,
• Cold utilities: BFW, CW, refrigeration
– NW=No. independent Networks (1 above the pinch, 1 below the pinch)
Too Many Heat Exchangers
• Minimum number of HEs
NHx,min = Ns + NU – NNW
= 4+2-2
= 4
Simple HFN: 2 excess HEs
HEN with Min. Utilities = 3 excess HEs
Minimize Number of HEs
Method to reduce number of HE
1. Break Heat Exchanger Loops
2. Stream Splitting
Break Heat Exchanger Loops
Break Heat Exchanger Loops
53
Break Heat Exchanger Loops
Simplest Change
1. Eliminate HE 1
2. Transfer Heat duty to HE 2
3. Heat duty
i. C1 stream + H @Heater
ii. C2 stream - H @ Heater
Break Heat Exchanger Loops
• Attack small Heat Exchangers First
Cp=Kan where n<1 ( 0.6)
Case 1:
• small HE = 20 m2, large HE = 80 m2
• Cp = K200.6+K800.6 = 19.9 K
Case 2:
• Single HE= 100 m2 ( combined area)
• Cp= K 1000.6 =15.8 K
Stream Splitting
Stream Splitting
• Two streams created from one
• In principle, splitting of heat capacity mass
flowrate, mCp
Example: Design minimum number of HE
1. ΔTmin =10 OC
2. MER arget for hot utility : 300 KW
No Splitting HEN
58
• NHx,min= Ns + NU – NNW
=3+1-1=3
Simple Network without splitting
Where is the problem?
Violation of 2nd law of thermodynamics
59
Stream Splitting
60
X (T1-90)=500
(10-x) (T2-90)=200
and
200-T1  ΔTmin i.e., T1  190
150-T2  ΔTmin i.e., T2  140
T2= 140
T1= 173.3
x= 6
Many Solutions
T2= 130
T1= 190
x= 5
T2= 135
T1= 180
x= 5.56
61
T2
Stream Splitting: Solution
62
OC
OC
Non-isothermal mixing == maximize lost work
Improved design: Minimization of Lost work
63
Location of Heater moved for isothermal mixing
Mixing split streams isothermally minimizes lost work
Isothermal mixing
Heat Integrated Distillation Trains
64
Distillation Columns
F HF+ Qreb= D HD+B HB+Qcond
Energy balance
Distillation Columns
Q  Qreb  Qcond
F HF-D HD-B HB 0
If Q is reduced
 Utility cost reduced
 number of trays / height of packing increased
 Tradeoff between operating cost and capital cost
Heuristic “Position a Distillation Column Between
Composite Heating and Cooling Curves”
When utility cost is high
• Adjust pressure level to position
T-Q between hot and cold
composite curves
• Hot streams to reboiler
• Cold stream to Condenser
• Close boiling point species
Heuristic “Position a Distillation Column Between
Composite Heating and Cooling Curves”
Difficult to use both hot and cold streams
• Hot utility to reboiler
• Cold streams to condenser
Multi-effect Distillation
• When position a Distillation Column Between
Composite Heating and Cooling Curves not
possible
• Feed split
• Two towers operating at different pressures
69
Heat Integration for Direct Distillation
Sequence
Adjust Pressure in C2 for ΔTmin
• Good when utility cost high
• Down side
– Purchase cost for two towers
– pump cost
– process complexity
Variation on two-effect distillation
72
Feed Splitting (FS) Light Splitting/
forward heat-integration (LSF)
Light Splitting/
reverse heat-integration (LSR)
Heat Pumps in Distillation
Heat Pumps/Heat Engines Heurisitcs
• When positioning heat engines, to reduce the
cold utilities, place them entirely above or
below the pinch
• When positioning heat pumps, to reduce the
total utilities, place them across the pinch.
Heat Pump Location
75
Heat Engine Location
76
Tp

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L20-Heat and Pdfffffffffffffffower Integration(1).pptx

  • 1. CH EN 5253 Process Design II Lecture 20 Heat and Power Integration February 26, 2020
  • 2. Books Product and Process Design Principles: Synthesis, Analysis and Evaluation by Warren D. Seider , J. D Seader, Daniel R. Lewin, and Soemantri Widagdo • Chapter 11 Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design by Gavin Towler, and Ray Sinnott • Section 3.5 ( 2nd Edition) 2
  • 3. Outlines •Minimum Utility Target/ Maximum Energy Recovery  Temperature-Interval (TI) method  Composite Curve Method ( graphical)  Linear Programming Method •Networks for Maximum Energy Recovery •Minimum Numbers of Heat Exchangers  Breaking Heat Loops  Stream Splitting •Heat Integrated Distillation Trains 3
  • 5. Heat Integration • Make a list of HX • Instead of using utilities can you use another stream to heat/cool any streams? • How much of this can you do without causing operational problems? • Can you use air to cool? – Air is a low cost coolant. • Less utilities = smaller cost of operations
  • 6. 2011 HPC REAC-2000 Q-2002 HPC VSSL-2000 2037 13 23 2024 XFS1 HPC SPLT-2001 30 2026 HPC PUMP-2000 2031 Q-2008 2012 HPC RCYL-2001 2032 6 HPC MIX-2000 2009 3 1 2004 HPC XCHG-2002 HPC MIX-2001 2010 HPC CMPR-2000 2002 Q-2001 7 2008 HPC XCHG- 2000 HPC XCHG-2001 2038 2039 2040 2041 HPC XCHG-2003 2014 2025 Q-2006 2050 2051 HPC XCHG-1008 HPC FAXR-2000 Q-2004 HPC FAXR-2002 Q-2005 HPC XCHG-2004 2042 2043 28 2052 2053 HPC XCHG-2007 2048 2049 HPC FAXR-2001 HPC SPLT-2000 2016 2015 HPC MIX-2002 2018 2017 Q-2003 HPC XCHG-2005 2044 2045 2019 HPC XCHG-2006 2020 2021 2046 2047 HPC VSSL-2001 HPC VSSL-2002 2022 HPC VSSL-2003 HPC XCHG-2009 Q-2007 2027 HPC RCYL-2002 2029 2101 HPC CMPR-2010 HPC MIX-2010 2102 HPC XCHG-2010 HPC XCHG-2011 2103 2104 2107 2108 HPC MIX-2011 2109 2110 HPC XCHG-2012 2114 2112 HPC VSSL-2010 HPC XCHG-2013 113 2105 2106 HPC SPLT-2010 HPC FAXR-2010 HPC FAXR-2011 HPC FAXR-2012 HPC MIX-2012 HPC VSSL-2011 HPC VSSL-2012 HPC VSSL-2013 HPC XCHG-2016 2115 2116 2117 2118 2119 2120 2121 2122 2146 2147 2123 125 2124 2129 2128 2127 HPC RCYL-2012 HPC SPLT-2011 2130 2126 HPC PUMP-2010 2131 Q-2108 2137 HPC RCYL-2011 2132 2005 2111 HPC MIX-2003 HPC CMPR-2001 2033 2034 Q-2009 HPC XCHG-2014 HPC XCHG-2015 Q-2104 Q-2103 Q-2105 HPC XCHG-2017 2142 2143 144 145 2148 2149 2138 2139 2140 2141 Q-2101 HPC SPLT-2003 2135 2035 Q-2106 HPC XCHG-2018 2150 2151 Q-107 HPC XCHG-2019 2152 2153 Q-2102 HPC REAC-2010 HPC RCYL-2000 HPC RCYL-2010 2036 2136 XFS2 MIX-100 2
  • 7. Simple Heat Exchange Network 1 Hot Stream 1 Cold Stream
  • 8. Simple Heat Exchange Network (HEN) steam cooling water steam steam water water As ∆Tmin becomes less, utility demands become less. However, there is a reasonable minimum ∆Tmin to provide a driving force for heat exchange (e.g. 10°C).
  • 9. Example 2 Hot Streams 2 Cold Streams
  • 10. Example: Minimize Utilities For 4 Streams Total: 470 Total: 480 Note that total cooling demand is 10×104 Btu/hr more than total heating demand. 120 235 180 240 120 235 180 240 C1 C2 H1 H2
  • 11. A possible Heat Exchange Network (HEN) to Achieve Required Heating and Cooling • Note that QCW – Qsteam = 10, which is required difference Required hot utilities (steam): 57.5 Required cold utilities (cooling water): 67.5
  • 12. Is this the minimum utility? Required hot utilities (steam): 57.5 X 104 BTU/hr Required cold utilities (cooling water): 67.5 X 104 BTU/hr
  • 14. Pinch Analysis 1.Temperature Interval Method 2.Composite Curve Method (Graphical) 3.Linear Programming
  • 16. Pinch Analysis: Temperature Interval Method Step 1: Adjust hot stream temperatures by subtracting ΔTmin (This puts the streams in a common reference frame.)
  • 17. Pinch Analysis: Temperature Interval Method Step 2: Order the temperatures hot to cold: 250 : T0 240 : T1 235 : T2 180 : T3 150 : T4 120 : T5
  • 18. Pinch Analysis: Temperature Interval Method 18 Step 3: For each temperature range (hot to next hottest), determine which streams are in that interval and add up the heat capacity rates of those streams 250 240 150 120 1.5
  • 19. Pinch Analysis: Temperature Interval Method 19 Step 3: For each temperature range (hot to next hottest), determine which streams are in that interval and add up the heat capacity rates of those streams 250 – 240: H1 240 – 235: H1, H2, C2 235 – 180: H1, H2, C1, C2 180 – 150: H1, H2, C1 150 – 120: H2, C1
  • 20. Pinch Analysis: Temperature Interval Method 20 Step 4: Multiply the combined heat capacity rate by the temperature difference to get the energy needed to cool or heat over that temperature range 250 : T0 240 : T1 235 : T2 180 : T3 150 : T4 120 : T5
  • 21. Pinch Analysis: Temperature Interval Method Step 5: Create a cascade of temperature intervals within which energy balances are carried out Pinch point Note! Energy can not flow from cold to hot. Thus, we need to increase all of the levels by 50 to make the pinch point = zero.
  • 22. Pinch Analysis: Temperature Interval Method
  • 23. Pinch Analysis Actual Endpoint Temperatures! ΔTapp Hot side One HEN Cold side One HEN
  • 25. Pinch Analysis: Graphical Method Step 1: First, draw lines representing hot streams being cooled, and cool streams being heated, showing correct temperatures and with a slope corresponding to the heat capacity rate – Does not need to be lined up on x-axis yet – Will be straight lines if C is not a function of temperature; otherwise, they will bend 25
  • 26. Pinch Analysis – Graphical Approach • Initially, just get the temperatures and slope correct. Position on x-axis is not yet important. Can be drawn so they don’t overlap. 26 260 100 120 140 160 180 200 220 240 0 2 4 6 8 10 Q (MMBtu/hr) T (°F) H1 H2 C1 C2
  • 27. Pinch Analysis – Graphical Approach 27 260 100 120 140 160 180 200 220 240 0 2 4 6 8 10 Q (MMBtu/hr) T (°F) H1 H2 Common Temperature Region (160-250) mCp= mCp (H1) + mCp (H2) = 3+1.5 =4.5 Step 2: Then, combine all the hot stream curves into one composite curve with the lowest temperature crossing at Q = 0 H1+H2
  • 28. Pinch Analysis: Graphical Method 28 260 100 120 140 160 180 200 220 240 0 2 4 6 8 10 Q (MMBtu/hr) T (°F) H2 H1+H2 H1 C1 C2
  • 29. Pinch Analysis: Graphical Method 29 260 100 120 140 160 180 200 220 240 0 2 4 6 8 10 Q (MMBtu/hr) T (°F) Step 3: Combine the cold stream curves into a composite. Horizontal position will be set in the next step. H2 H1+H2 H1 C1 C2 C1+C2
  • 30. Pinch Analysis: Graphical Method 30 260 100 120 140 160 180 200 220 240 0 2 4 6 8 10 Q (MMBtu/hr) T (°F) 10° Step 4: Position the cold stream curve so that the pinch is ∆Tmin (vertically) from the hot stream.
  • 31. Pinch Analysis: Graphical Method 31 260 100 120 140 160 180 200 220 240 2 4 6 8 10 Q (MMBtu/hr) T (°F) 0.5 0.6 Step 5: Measure the hot and cold utilities requirements.
  • 33. 33 Linear Programming (LP) method Qsteam - R1 + 30 =0 ….. (LP.1) R1 - R2+ 2.5 = 0 ….. (LP.2) R2 - R3 - 82.5 = 0 ….. (LP.3) R3-R4+75=0 ….. (LP.4) R4-Qcw-15=0 ….. (LP.5) Qsteam ,Qcw , R1 ,R2 , R3 ,R4 0 Constraints
  • 34. Linear Form • All values are positive 34
  • 35. Solution Region 35 Feasible Space Qsteam ,Qcw , R1 , R2 , R3 ,R4 0
  • 36. Solution 36 Minimum Utility When Qsteam is minimum, Qcw is also minimum Solution Qsteam =50 R1 =80 R2 =82.5 R3 =0 R4 =75 Qcw =60
  • 37. Solution Is this the minimum utility? Required hot utilities (steam): 57.5 X 104 BTU/hr Required cold utilities (cooling water): 67.5 X 104 BTU/hr Required hot utilities (steam): 50 X 104 BTU/hr Required cold utilities (cooling water): 60 X 104 BTU/hr No Minimum utility Find the HEN for this minimum utility or maximum energy recovery.
  • 39. HEN For Maximum Energy Recovery • Goal is to minimize the cost (number) of heat exchangers while keeping duty required by external utilities to a minimum – Should be able to achieve theoretical minimum utility duty • Sequence heat exchangers to achieve maximum overall efficiency • Use relation Q = C∆T to help simplify analysis 39
  • 40. HEN For Maximum Energy Recovery • Start with HEN for hot side of pinch • Seek a matching stream to provide cooling for hot stream – Important that C of cold stream is larger than or equal to C of hot stream! • Calculate resulting exit temperature of exchanger on cold stream • Continue with hot streams, finally making up any additional required duty for heating the cold streams with utilities (e.g. steam) • Repeat for cold side, making up required cooling with e.g. cooling water 40
  • 41. Resulting HEN with Pinch 41 Hot side Cold side
  • 42. Resulting HEN Layout 42 Hot side Cold side
  • 43. 43 Comparison ( Minimum Utilities) • Simple HEN • HEN with Min. Utilities Saves CW 7.5e4 BTU/hr Steam 7.5e4 BTU/hr HE = 7 ( 4 Interior + 3 Auxiliary) HE = 6 ( 3 Interior + 3 Auxiliary)
  • 44. Economical HENs • CP,Ii = Cost of HEs in the interior networks ( cold-hot streams) • CP,Aj = Cost of HEs in the auxiliary networks ( steam/cooling water – hot/cold streams) • Fs = Annual flow rate of steam ( kilograms/year) • Fcw = Annual flow rate of cooling water ( kilograms/year) • s = unit cost of steam ($/kilogram) • cw = unit cost of cooling water ($/kilogram) • im=return on investment
  • 45. Optimization based on total cost Minimum CP=K(Area)0.6 Area=Q/(UF ΔTmin)
  • 46. Effect of ΔTmin on total cost ΔTmin  0 • True pinch is approached • Area of heat transfer   • Utility  minimum ΔTmin   • Area of heat transfer  0 • Utility  maximum Tradeoff between Capital cost and Utility cost
  • 47. Threshold ΔTmin If ΔTmin is such that no pinch exists – Either hot or cold utility to be used, not both • ΔTthres = minimum ΔTmin below no pinch exists • A chemical company wants to design a HEN with a pinch so that both hot/cold can be used ΔTmin > ΔTthres
  • 48. Minimum Numbers of Heat Exchangers
  • 49. Too Many Heat Exchangers • Sometimes fewer Heat exchangers and increased utilities leads to a lower annual cost • Determine minimum number of HEs NHx,min= Ns + NU – NNW – s=No. streams – U=No. discrete Utilities • Hot utilities: Fuel, HPS, IPS, LPS, • Cold utilities: BFW, CW, refrigeration – NW=No. independent Networks (1 above the pinch, 1 below the pinch)
  • 50. Too Many Heat Exchangers • Minimum number of HEs NHx,min = Ns + NU – NNW = 4+2-2 = 4 Simple HFN: 2 excess HEs HEN with Min. Utilities = 3 excess HEs
  • 51. Minimize Number of HEs Method to reduce number of HE 1. Break Heat Exchanger Loops 2. Stream Splitting
  • 54. Break Heat Exchanger Loops Simplest Change 1. Eliminate HE 1 2. Transfer Heat duty to HE 2 3. Heat duty i. C1 stream + H @Heater ii. C2 stream - H @ Heater
  • 55. Break Heat Exchanger Loops • Attack small Heat Exchangers First Cp=Kan where n<1 ( 0.6) Case 1: • small HE = 20 m2, large HE = 80 m2 • Cp = K200.6+K800.6 = 19.9 K Case 2: • Single HE= 100 m2 ( combined area) • Cp= K 1000.6 =15.8 K
  • 57. Stream Splitting • Two streams created from one • In principle, splitting of heat capacity mass flowrate, mCp Example: Design minimum number of HE 1. ΔTmin =10 OC 2. MER arget for hot utility : 300 KW
  • 58. No Splitting HEN 58 • NHx,min= Ns + NU – NNW =3+1-1=3 Simple Network without splitting Where is the problem?
  • 59. Violation of 2nd law of thermodynamics 59
  • 60. Stream Splitting 60 X (T1-90)=500 (10-x) (T2-90)=200 and 200-T1  ΔTmin i.e., T1  190 150-T2  ΔTmin i.e., T2  140 T2= 140 T1= 173.3 x= 6 Many Solutions T2= 130 T1= 190 x= 5 T2= 135 T1= 180 x= 5.56
  • 61. 61 T2
  • 63. Improved design: Minimization of Lost work 63 Location of Heater moved for isothermal mixing Mixing split streams isothermally minimizes lost work Isothermal mixing
  • 65. Distillation Columns F HF+ Qreb= D HD+B HB+Qcond Energy balance
  • 66. Distillation Columns Q  Qreb  Qcond F HF-D HD-B HB 0 If Q is reduced  Utility cost reduced  number of trays / height of packing increased  Tradeoff between operating cost and capital cost
  • 67. Heuristic “Position a Distillation Column Between Composite Heating and Cooling Curves” When utility cost is high • Adjust pressure level to position T-Q between hot and cold composite curves • Hot streams to reboiler • Cold stream to Condenser • Close boiling point species
  • 68. Heuristic “Position a Distillation Column Between Composite Heating and Cooling Curves” Difficult to use both hot and cold streams • Hot utility to reboiler • Cold streams to condenser
  • 69. Multi-effect Distillation • When position a Distillation Column Between Composite Heating and Cooling Curves not possible • Feed split • Two towers operating at different pressures 69
  • 70. Heat Integration for Direct Distillation Sequence
  • 71. Adjust Pressure in C2 for ΔTmin • Good when utility cost high • Down side – Purchase cost for two towers – pump cost – process complexity
  • 72. Variation on two-effect distillation 72 Feed Splitting (FS) Light Splitting/ forward heat-integration (LSF) Light Splitting/ reverse heat-integration (LSR)
  • 73. Heat Pumps in Distillation
  • 74. Heat Pumps/Heat Engines Heurisitcs • When positioning heat engines, to reduce the cold utilities, place them entirely above or below the pinch • When positioning heat pumps, to reduce the total utilities, place them across the pinch.

Editor's Notes

  1. Use another stream for HX instead of a utility. What happens when delta T in Exchanger is lowered? To Zero?
  2. Use another stream for HX instead of a utility. What happens when delta T in Exchanger is lowered? To Zero?
  3. Put T’s in order Max to Min
  4. Put T’s in order Max to Min
  5. Qsteam=0, R3=-50
  6. Capital cost goes down when A is less. This is caused by delta T being larger for Q to remain the same.