Control
Transcript of Control
10-Design and
Control
DESIGN AND ANALYSIS II - (c) Daniel R. Lewin1
054402 Design and Analysis II
LECTURE 10: INTERACTION OF PROCESS
DESIGN AND CONTROL
Daniel R. Lewin
Department of Chemical Engineering
Technion, Haifa, IsraelRef: Seider, Seader and Lewin (2003), Chapter 20
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Provide motivation for handling flowsheet controllability and resiliency as an integral part of the design process
Outline qualitative approach for control variable selection
Introduce a qualitative plantwide control structure selection method
OUTLINE
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PART ONE: MOTIVATION
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IMPORTANCE OF EARLY STAGE-DESICISONS
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PROCESS DESIGN STAGES AND TOOLS
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PART TWO: CLASSIFICATION OF VARIABLES,DOF ANALYSIS & UNIT-BY-UNIT
CONTROL
Ref: Seider, Seader and Lewin (2003), Chapter 20
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The design of a control system for a chemical plant is guided by the objective to maximize profits by transforming raw materials into useful products while satisfying:
– Product specifications: quality, rate.
– Safety
– Operational constraints
– Environmental regulations - on air and waterquality as well as waste disposal.
PROCESS OBJECTIVES
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Variables that effect and are affected by the process should be categorized as either control (manipulated) variables, disturbances and outputs.
Process Outputs
Manipulatedvariables
Disturbances
It is usually not possible to control all outputs (why?)
Thus, once the number of manipulated variables are defined, one selects which of the outputs should be controlled variables.
CLASSIFICATION OF VARIABLES
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Rule 1: Select variables that are not self-regulating.
Rule 2: Select output variables that would exceed the equipment and operating constraints without control.
Rule 3: Select output variables that are a direct measure of the product quality or that strongly affect it.
Rule 4: Choose output variables that seriously interact with other controlled variables.
Rule 5: Choose output variables that have favorable static and dynamic responses to the available control variables.
SELECTION OF CONTROLLED VARIABLES
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Rule 6: Select inputs that significantly affect the controlled variables.
Rule 7: Select inputs that rapidly affect the controlled variables.
Rule 8: The manipulated variables should affect the controlled variables directly rather than indirectly.
Rule 9: Avoid recycling disturbances.
SELECTION OF MANIPULATED VARIABLES
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Rule 10: Reliable, accurate measurements are essential for good control.
Rule 11: Select measurement points that are sufficiently sensitive.
Rule 12: Select measurement points that minimize time delays and time constants.
SELECTION OF MEASURED VARIABLES
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Before selecting the controlled and manipulated variables for a control system, one must determine the number of variables permissible. The number of manipulated variables cannot exceed the degrees of freedom, which are determined using a process model according to:
ND = NVariables - NEquations
ND = Nmanipulated + NExternally Defined
Degrees of freedom
Number of variables
Number of equations
NManipulated = NVariables - Nexternally defined- NEquations
DEGREES OF FREEDOM ANALYSIS
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Number of variables.
T, CA
Ti, CAi
Fc
T, CA
Tc
hTco
Fo
Fi
Nvariables =
Externally defined (disturbances) : CAi , Ti , and TCO
10
EXAMPLE 1: CONTROL OF CSTR
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Material and energy balances:
T, CA
Ti, CAi
Fc
T, CA
Tc
hTco
Fo
Fi
oi FFdtdhA
TCrAhCFCFhCdtdA AAoAiiA ,
csA
oii
TTUAHTCrAh
CpTFCpTFThdtdCpA
,
csccccoccc
cc TTUATCpFTCpFdt
dTCpV
NEquations = 4
EXAMPLE 1: CONTROL OF CSTR (Cont’d)
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T, CA
Ti, CAi
Fc
T, CA
Tc
hTco
Fo
Fi
NManipulated = NVariables - Next. defined- Nequations
= 10 - 3 - 4 = 3
EXAMPLE 1: CONTROL OF CSTR (Cont’d)
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Selection of controlled variables.
T, CA
Ti, CAi
Fc
T, CA
Tc
hTco
Fo
Fi
CA should be selected since it directly affects the
product quality (Rule 3).
T should be selected because it must be regulated properly to avoid safety problems (Rule 2) and because it interacts with CA (Rule 4).
h must be selected as a controlled output because it is non-self-regulating (Rule 1).
EXAMPLE 1: CONTROL OF CSTR (Cont’d)
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Selection of manipulated variables.
T, CA
Ti, CAi
Fc
T, CA
Tc
hTco
Fo
Fi
Fi should be selected since it directly and rapidly affects CA (Guidelines 6, 7 and 8).
Fc should be selected since it directly and rapidly affects T (Guidelines 6, 7 and 8).
• Fo should be selected since it directly and rapidly affects h (Guidelines 6, 7 and 8).
EXAMPLE 1: CONTROL OF CSTR (Cont’d)
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This suggests the following control configuration:
T, CA
Ti, CAi
Fc
T, CA
Tc
hTco
Fo
Fi
TC
CCLC
Can you think of alternatives or improvements ?
EXAMPLE 1: CONTROL OF CSTR (Cont’d)
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PART THREE: Plantwide Control System design
Ref: Seider, Seader and Lewin, Chapter 20
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PLANTWIDE CONTROL DESIGN
Luyben et al. (1999) suggest a method for the conceptual design of plant-wide control systems, which consists of the following steps:
Step 1: Establish the control objectives.
Step 2: Determine the control degrees of freedom. Simply stated – the number of control valves – with additions if necessary.
Step 3: Establish the energy management system. Regulation of exothermic or endothermic reactors, and placement of controllers to attenuate temperature disturbances.
Step 4: Set the production rate.
Step 5: Control the product quality and handle safety, environmental, and operational constraints.
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PLANTWIDE CONTROL DESIGN (Cont’d)
Step 6: Fix a flow rate in every recycle loop and control vapor and liquid inventories (vessel pressures and levels).
Step 7: Check component balances. Establish control to prevent the accumulation of individual chemical species in the process.
Step 8:Control the individual process units. Use remaining DOFs to improve local control, but only afterresolving more important plant-wide issues.
Step 9: Optimize economics and improve dynamic controllability. Add nice-to-have options with any remaining DOFs.
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EXAMPLE 2: ACYCLIC PROCESS
Maintain a constant production rate
Achieve constant composition in the liquid effluent from the flash drum.
Keep the conversion of the plant at its highest permissible value.
Steps 1 & 2: Establish the control objectives and DOFs:
Select V-7 for On-demand product flow
Select V-1 for fixed feed
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EXAMPLE 2: ACYCLIC PROCESS (Cont’d)
Need to control reactor temperature: Use V-2.
Step 3: Establish energy management system.
Need to control reactor feed temperature: Use V-3.
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EXAMPLE 2: ACYCLIC PROCESS (Cont’d)
For on-demand product: Use V-7.
Step 4: Set the production rate.
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EXAMPLE 2: ACYCLIC PROCESS (Cont’d)
To regulate V-100 pressure: Use V-5
Step 5: Control product quality, and meet safety, environmental, and operational constraints.
To regulate V-100 temperature: Use V-6
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EXAMPLE 2: ACYCLIC PROCESS (Cont’d)
Step 6: Fix recycle flow rates and vapor and liquid inventories Need to control vapor inventory in V-100: Use V-5 (already installed)
Need to control liquid inventory in V-100: Use V-4
Need to control liquid inventory in R-100: Use V-1
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EXAMPLE 2: ACYCLIC PROCESS (Cont’d)
Step 7: Check component balances. (N/A)
Install composition controller, cascaded with TC of reactor.
Step 8: Control the individual process units (N/A)
Step 9: Optimization
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EXAMPLE 2 (Class): ACYCLIC PROCESS
Try your hand at designing a plant-wide control system for fixed feed rate.
Select V-1 for fixed feed
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EXAMPLE 2 (Class): ACYCLIC PROCESS
Possible solution.
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EXAMPLE 3: CYCLIC PROCESS
The above control system for (fixed feed) has an inherent problem?
Can you see what it is?
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EXAMPLE 3: CYCLIC PROCESS (Cont’d)
The above control system for (fixed feed) has an inherent problem?
Can you see what it is?
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EXAMPLE 3: CYCLIC PROCESS (Cont’d)
0
0
0
Combined molar feed to the CSTR:
Molar material balance around the flash vessel:
Overall molar material balance:
F B
F B D B
F D
AA A 0 A
11 Rtotal total
R
dnkx c x F B kx c V
V dtR Ttotalc V n
Molar balance on CSTR:
A 0 A A 0 A1 1 R Ttotalx F B kx c V x F B kx n
0 A TBalance on A for perfect separation: F kx n
A 0 0
A
1
Tx F kn FB
xRearranging:
20
0
T
FB
kn F
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16.750
450150
208125
100100
4575
BF0
e.g., suppose knT = 200:
EXAMPLE 3: CYCLIC PROCESS (Cont’d)
20
0
T
FB
kn F
A more general result uses the dimensionless, Damköhlernumber: Da = knT/F0 giving:
0
1
FB
Da
“Snowball” effect for Da 1
“Snowball” effect
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EXAMPLE 3: CYCLIC PROCESS (Cont’d)
Maintain the production rate at a specified level.
Keep the conversion of the plant at its highest permissible value.
Steps 1 & 2: Establish the control objectives and DOFs:
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EXAMPLE 3: CYCLIC PROCESS (Cont’d)
Need to control reactor temperature: Use V-2.
Step 3: Establish energy management system.
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EXAMPLE 3: CYCLIC PROCESS (Cont’d)
For on-demand product: Use V-7.
Step 4: Set the production rate.
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EXAMPLE 3: CYCLIC PROCESS (Cont’d)
To regulate V-100 pressure: Use V-4
Step 5: Control product quality, and meet safety, environmental, and operational constraints.
To regulate V-100 temperature: Use V-5
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EXAMPLE 3: CYCLIC PROCESS (Cont’d)
Step 6: Fix recycle flow rates and vapor and liquid inventories
Need to control vapor inventory in V-100: Use V-4 (already installed)
Need to control liquid inventory in V-100: Use V-3
Need to control liquid inventory in R-100: Cascade to FC on V-1.
Need to control recycle flow rate: Use V-6
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EXAMPLE 3: CYCLIC PROCESS (Cont’d)
Install composition controller, cascaded with TC of reactor.
Steps 7, 8 and 9: Improvements
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Provided motivation for handling flowsheet controllability and resiliency as an integral part of the design process
Outlined qualitative approach for unit-by-unit control structure selection
Outlined qualitative approach for plantwide control structure selection
SUMMARY