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ChE 4745
Process Control and Dynamics
Introduction to Process
Control
Chapter
1
What is a Process?
Process:
- A Heat Exchanger (heating/cooling)
- A Chemical/Biological Reactor (make
petrochemicals or recombinant drugs)
- A Separator (Distillation column or a
chromatographic column for separating
proteins)
- A Feed or holding tank
- Human body
- A Car
- A Computer Drive
Chapter
1
Chapter
1 Chemical Process Industries (CPI)
Hydrocarbon fuels
Chemical products
Pulp and paper products
Agrochemicals
Man-made fibers
Chapter
1 Bio-Process Industries
Use micro-organisms to produce
useful products
Pharmaceutical industry
Ethanol from grain industry
Chapter
1
Chapter
1
Chapter
1
Gas stream Gas stream
Empty vessel
P
CONTROL
Adjusting valves: Do you believe in automation?
Do we run around the
plant to adjust the
valves when required?
Process pictures courtesy of Petro-Canada Products
Chapter
1
Central control room
Process pictures courtesy of Petro-Canada Products
• Overview of
entire process
• Make
immediate
adjustment
anywhere
• Safe location
• History of past
operation
Chapter
1 Adjusting valves: Do you believe in automation?
Chapter
1
What is Process Control?
Inputs
(cause)
Outputs
(effects)
Process
Output:
“off-specification”
Consequence:
Less profit!
Chapter
1
Benefits of Improved Control
Time
Concentration
Limit
Time
y
t
pu
ri
m
I
Concentration
Limit
Old Controller
New Controller
Time
y
t
pu
ri
m
I
Concentration
Limit
Improved Performance
Chapter
1 Objectives of Process Control
– Maintain a stable process operation
– Appropriate instruments/sensors are to be
implemented to operate under “fail/safe” conditions.
– Make sure no “disturbances” affect the process output(s).
– Make sure when we make desired changes (set point) to the
process, it does achieve the desired goal.
– Make sure the process always remain within a “tight”
specification.
– Maximize the profitability of the plant
Chapter
1 Process Dynamics
a) Refers to unsteady-state or transient behavior.
b) Steady-state vs. unsteady-state behavior
i. Steady state: variables do not change with time
ii. But on what scale? e.g., noisy measurement
c) ChE curriculum emphasizes steady-state or
equilibrium situations:
d) Continuous processes: Examples of transient behavior:
i. Start up & shutdown
ii. Grade changes
iii.Major disturbance: e.g., refinery during stormy or
hurricane conditions
Chapter
1 e) Batch processes
i. Inherently unsteady-state operation
ii. Example: Batch reactor
1. Composition changes with time
2. Other variables such as temperature could be constant.
Process Control
Objective: to maintain or operate a process at the desired
operating conditions safely and efficiently, while satisfying
environmental and product quality requirements.
a) Large scale, continuous processes:
i. Oil refinery, ethylene plant, pulp mill
ii. Typically, 1000 – 5000 process variables are measured.
Chapter
1
iii.Examples: flow rate, T, P, liquid level, composition
iv. Sampling rates:
1. Process variables:Afew seconds to minutes
2. Quality variables: once per 8 hr shift, daily, or weekly
b) Manipulated variables
i. We implement “process control” by manipulating process
variables, usually flow rates.
1. Examples: feed rate, cooling rate, product flow rate,
etc.
ii. Typically, several thousand manipulated variables in a
large continuous plant
Process Control (cont’d.)
Chapter
1
c) Batch plants:
i. Smaller plants in most industries
1. Exception: microelectronics (200 – 300 processing
steps).
ii. But still large numbers of measured variables.
d) Question: How do we control processes?
i. We will consider an illustrative example.
Process Control (cont’d.)
Chapter
1 1.1 Illustrative Example: Blending system
Notation:
• w1, w2 and w are mass flow rates
• x1, x2 and x are mass fractions of component A
Chapter
1 Assumptions:
1. w1 is constant
2. x2 = constant = 1 (stream 2 is pureA)
3. Perfect mixing in the tank
Control Objective:
Keep x at a desired value (or “set point”) xsp, despite variations in
x1(t). Flow rate w2 can be adjusted for this purpose.
Terminology:
• Controlled variable (or “output variable”): x
• Manipulated variable (or “input variable”): w2
• Disturbance variable (or “load variable”): x1
Chapter
1 Design Question. What value of w2 is required to have
x  xSP ?
Overall balance:
0  w1  w2  w
Component 'A' balance:
(1-1)
w1x1  w2x2  wx  0 (1-2)
(The overbars denote nominal steady-state design values.)
and
x  xSP
• At the design conditions, x  xSP. Substitute Eq. 1-2,
x2 1, then solve Eq. 1-2 for w2 :
2
SP 1
(1-3)
x  x
w  w1
1 xSP
Chapter
1 • Equation 1-3 is the design equation for the
blending system.
• If our assumptions are correct, then this value of w2 will keep x
at xSP . But what if conditions change?
Control Question. Suppose that the inlet concentration x1
changes with time. How can we ensure that x remains at or
near the set point xSP ?
As a specific example, if x1  x1 and w2  w2, then x > xSP.
Some Possible Control Strategies:
Method 1. Measure x and adjust w2.
• Intuitively, if x is too high, we should reduce w2;
Chapter
1 • Manual control vs. automatic control
• Proportional feedback control law,
w2 t w2  Kc 
xSP  xt

1. where Kc is called the controller gain.
(1-4)
2. w2(t) and x(t) denote variables that change with time t.
3. The change in the flow rate,w2 t w2, is proportional to
the deviation from the set point, xSP – x(t).
Chapter
1
Chapter
1 Method 2. Measure x1 and adjust w2.
• Thus, if x1 is greater than x1, we would decrease w2 so that
w2  w2;
• One approach: Consider Eq. (1-3) and replace x1 and w2 with
x1(t) and w2(t) to get a control law:
 
 
2 1
SP 1
(1-5)
x  x t
w t  w
1 xSP
Chapter
1
Chapter
1 • Because Eq. (1-3) applies only at steady state, it is not clear
how effective the control law in (1-5) will be for transient
conditions.
Method 3. Measure x1 and x, adjust w2.
• This approach is a combination of Methods 1 and 2.
Method 4. Use a larger tank.
• If a larger tank is used, fluctuations in x1 will tend to be damped
out due to the larger capacitance of the tank contents.
• However, a larger tank means an increased capital cost.
Chapter
1
Chapter
1 1.2 Classification of Control Strategies
Method Measured
Variable
Manipulated
Variable
Category
1 x w2 FBa
2 x1 w2 FF
3 x1 and x w2 FF/FB
4 - - Design change
Table. 1.1 Control Strategies for the Blending System
Feedback Control:
• Distinguishing feature: measure the controlled variable
Chapter
1 • It is important to make a distinction between negative feedback
and positive feedback.
 Engineering Usage vs. Social Sciences
• Advantages:
 Corrective action is taken regardless of the source
of the disturbance.
 Reduces sensitivity of the controlled variable to
disturbances and changes in the process (shown later).
• Disadvantages:
 No corrective action occurs until after the disturbance
has upset the process, that is, until after x differs from
xsp.
 Very oscillatory response, or even instability
Chapter
1 Feedforward Control:
Distinguishing feature: measure a disturbance
variable
• Advantage:
 Correct for disturbance before it upsets the process.
• Disadvantage:
 Must be able to measure the disturbance.
 No corrective action for unmeasured disturbances.
pump
L
valve
sensor
pump
valve
The key elements and principles of a feedback loop
– Cause and Effect
Exercise: The key
elements and
principles of a
feedback loop
What is being measured?
Is this a valid feedback
control loop?
Chapter
1
Chapter
1
pump
F
valve
sensor
pump
valve
The key elements and principles of a feedback
loop – Cause and Effect
Exercise: You want to control the level, but you can
only measure the flow in. What is your
strategy? Are you using feedback?
Chapter
1
Gas stream Gas stream
Empty vessel
The key elements and principles of a feedback
loop – Cause and Effect
Exercise: The key elements and principles of a
feedback loop
What is being measured?
Is this a valid feedback control loop?
P
Chapter
1
v1
Hot Oil
v2
L1
v7
v5 v6
Hot Oil
F1 T1 T3
T2
F2
v3
T4
T5
F3 T6
T8
F4
L2
v8
T7
P1
F5
F6
T9
v4
2. The key elements and principles of a
feedback loop – Cause and Effect
Exercise: The key elements and principles of a
feedback loop
What is being measured?
Is this a valid feedback control loop?
Chapter
1
v1
Hot Oil
v2
L1
v7
v5 v6
Hot Oil
F1 T1 T3
T2
F2
v3
T4
T5
F3 T6
T8
F4
L2
v8
T7
P1
F5
F6
T9
v4
The key elements and principles of a feedback
loop – Cause and Effect
Exercise: The key elements and principles of a
feedback loop
What is being measured?
Is this a valid feedback control loop?
Chapter
1
The key elements and principles of a feedback
loop – Cause and Effect
Exercise: The key elements and principles of a
feedback loop
Hot process fluid
into shell
Cooling water into
tubes
We want to
control the hot
outlet
temperature.
Add a sensor and a valve to make this possible.
Chapter
1 The key elements and principles of a feedback
loop – Cause and Effect
Exercise: The key elements and principles of a
feedback loop
Hot process fluid
into shell
Cooling water
into tubes
Add a sensor and a valve to make this possible.
TC
We want to
control the hot
outlet
temperature.
Chapter
1
Acknowledgement
Dr. M. A. A. Shoukat Choudhury
Professor, Department of Chemical Engineering, BUET

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Chapter-1 : introduction to process control and dynamics

  • 1. ChE 4745 Process Control and Dynamics Introduction to Process Control Chapter 1
  • 2. What is a Process? Process: - A Heat Exchanger (heating/cooling) - A Chemical/Biological Reactor (make petrochemicals or recombinant drugs) - A Separator (Distillation column or a chromatographic column for separating proteins) - A Feed or holding tank - Human body - A Car - A Computer Drive Chapter 1
  • 3. Chapter 1 Chemical Process Industries (CPI) Hydrocarbon fuels Chemical products Pulp and paper products Agrochemicals Man-made fibers
  • 4. Chapter 1 Bio-Process Industries Use micro-organisms to produce useful products Pharmaceutical industry Ethanol from grain industry
  • 7. Chapter 1 Gas stream Gas stream Empty vessel P CONTROL
  • 8. Adjusting valves: Do you believe in automation? Do we run around the plant to adjust the valves when required? Process pictures courtesy of Petro-Canada Products Chapter 1
  • 9. Central control room Process pictures courtesy of Petro-Canada Products • Overview of entire process • Make immediate adjustment anywhere • Safe location • History of past operation Chapter 1 Adjusting valves: Do you believe in automation?
  • 10. Chapter 1 What is Process Control? Inputs (cause) Outputs (effects) Process Output: “off-specification” Consequence: Less profit!
  • 11. Chapter 1 Benefits of Improved Control Time Concentration Limit Time y t pu ri m I Concentration Limit Old Controller New Controller Time y t pu ri m I Concentration Limit Improved Performance
  • 12. Chapter 1 Objectives of Process Control – Maintain a stable process operation – Appropriate instruments/sensors are to be implemented to operate under “fail/safe” conditions. – Make sure no “disturbances” affect the process output(s). – Make sure when we make desired changes (set point) to the process, it does achieve the desired goal. – Make sure the process always remain within a “tight” specification. – Maximize the profitability of the plant
  • 13. Chapter 1 Process Dynamics a) Refers to unsteady-state or transient behavior. b) Steady-state vs. unsteady-state behavior i. Steady state: variables do not change with time ii. But on what scale? e.g., noisy measurement c) ChE curriculum emphasizes steady-state or equilibrium situations: d) Continuous processes: Examples of transient behavior: i. Start up & shutdown ii. Grade changes iii.Major disturbance: e.g., refinery during stormy or hurricane conditions
  • 14. Chapter 1 e) Batch processes i. Inherently unsteady-state operation ii. Example: Batch reactor 1. Composition changes with time 2. Other variables such as temperature could be constant. Process Control Objective: to maintain or operate a process at the desired operating conditions safely and efficiently, while satisfying environmental and product quality requirements. a) Large scale, continuous processes: i. Oil refinery, ethylene plant, pulp mill ii. Typically, 1000 – 5000 process variables are measured.
  • 15. Chapter 1 iii.Examples: flow rate, T, P, liquid level, composition iv. Sampling rates: 1. Process variables:Afew seconds to minutes 2. Quality variables: once per 8 hr shift, daily, or weekly b) Manipulated variables i. We implement “process control” by manipulating process variables, usually flow rates. 1. Examples: feed rate, cooling rate, product flow rate, etc. ii. Typically, several thousand manipulated variables in a large continuous plant Process Control (cont’d.)
  • 16. Chapter 1 c) Batch plants: i. Smaller plants in most industries 1. Exception: microelectronics (200 – 300 processing steps). ii. But still large numbers of measured variables. d) Question: How do we control processes? i. We will consider an illustrative example. Process Control (cont’d.)
  • 17. Chapter 1 1.1 Illustrative Example: Blending system Notation: • w1, w2 and w are mass flow rates • x1, x2 and x are mass fractions of component A
  • 18. Chapter 1 Assumptions: 1. w1 is constant 2. x2 = constant = 1 (stream 2 is pureA) 3. Perfect mixing in the tank Control Objective: Keep x at a desired value (or “set point”) xsp, despite variations in x1(t). Flow rate w2 can be adjusted for this purpose. Terminology: • Controlled variable (or “output variable”): x • Manipulated variable (or “input variable”): w2 • Disturbance variable (or “load variable”): x1
  • 19. Chapter 1 Design Question. What value of w2 is required to have x  xSP ? Overall balance: 0  w1  w2  w Component 'A' balance: (1-1) w1x1  w2x2  wx  0 (1-2) (The overbars denote nominal steady-state design values.) and x  xSP • At the design conditions, x  xSP. Substitute Eq. 1-2, x2 1, then solve Eq. 1-2 for w2 : 2 SP 1 (1-3) x  x w  w1 1 xSP
  • 20. Chapter 1 • Equation 1-3 is the design equation for the blending system. • If our assumptions are correct, then this value of w2 will keep x at xSP . But what if conditions change? Control Question. Suppose that the inlet concentration x1 changes with time. How can we ensure that x remains at or near the set point xSP ? As a specific example, if x1  x1 and w2  w2, then x > xSP. Some Possible Control Strategies: Method 1. Measure x and adjust w2. • Intuitively, if x is too high, we should reduce w2;
  • 21. Chapter 1 • Manual control vs. automatic control • Proportional feedback control law, w2 t w2  Kc  xSP  xt  1. where Kc is called the controller gain. (1-4) 2. w2(t) and x(t) denote variables that change with time t. 3. The change in the flow rate,w2 t w2, is proportional to the deviation from the set point, xSP – x(t).
  • 23. Chapter 1 Method 2. Measure x1 and adjust w2. • Thus, if x1 is greater than x1, we would decrease w2 so that w2  w2; • One approach: Consider Eq. (1-3) and replace x1 and w2 with x1(t) and w2(t) to get a control law:     2 1 SP 1 (1-5) x  x t w t  w 1 xSP
  • 25. Chapter 1 • Because Eq. (1-3) applies only at steady state, it is not clear how effective the control law in (1-5) will be for transient conditions. Method 3. Measure x1 and x, adjust w2. • This approach is a combination of Methods 1 and 2. Method 4. Use a larger tank. • If a larger tank is used, fluctuations in x1 will tend to be damped out due to the larger capacitance of the tank contents. • However, a larger tank means an increased capital cost.
  • 27. Chapter 1 1.2 Classification of Control Strategies Method Measured Variable Manipulated Variable Category 1 x w2 FBa 2 x1 w2 FF 3 x1 and x w2 FF/FB 4 - - Design change Table. 1.1 Control Strategies for the Blending System Feedback Control: • Distinguishing feature: measure the controlled variable
  • 28. Chapter 1 • It is important to make a distinction between negative feedback and positive feedback.  Engineering Usage vs. Social Sciences • Advantages:  Corrective action is taken regardless of the source of the disturbance.  Reduces sensitivity of the controlled variable to disturbances and changes in the process (shown later). • Disadvantages:  No corrective action occurs until after the disturbance has upset the process, that is, until after x differs from xsp.  Very oscillatory response, or even instability
  • 29. Chapter 1 Feedforward Control: Distinguishing feature: measure a disturbance variable • Advantage:  Correct for disturbance before it upsets the process. • Disadvantage:  Must be able to measure the disturbance.  No corrective action for unmeasured disturbances.
  • 30. pump L valve sensor pump valve The key elements and principles of a feedback loop – Cause and Effect Exercise: The key elements and principles of a feedback loop What is being measured? Is this a valid feedback control loop? Chapter 1
  • 31. Chapter 1 pump F valve sensor pump valve The key elements and principles of a feedback loop – Cause and Effect Exercise: You want to control the level, but you can only measure the flow in. What is your strategy? Are you using feedback?
  • 32. Chapter 1 Gas stream Gas stream Empty vessel The key elements and principles of a feedback loop – Cause and Effect Exercise: The key elements and principles of a feedback loop What is being measured? Is this a valid feedback control loop? P
  • 33. Chapter 1 v1 Hot Oil v2 L1 v7 v5 v6 Hot Oil F1 T1 T3 T2 F2 v3 T4 T5 F3 T6 T8 F4 L2 v8 T7 P1 F5 F6 T9 v4 2. The key elements and principles of a feedback loop – Cause and Effect Exercise: The key elements and principles of a feedback loop What is being measured? Is this a valid feedback control loop?
  • 34. Chapter 1 v1 Hot Oil v2 L1 v7 v5 v6 Hot Oil F1 T1 T3 T2 F2 v3 T4 T5 F3 T6 T8 F4 L2 v8 T7 P1 F5 F6 T9 v4 The key elements and principles of a feedback loop – Cause and Effect Exercise: The key elements and principles of a feedback loop What is being measured? Is this a valid feedback control loop?
  • 35. Chapter 1 The key elements and principles of a feedback loop – Cause and Effect Exercise: The key elements and principles of a feedback loop Hot process fluid into shell Cooling water into tubes We want to control the hot outlet temperature. Add a sensor and a valve to make this possible.
  • 36. Chapter 1 The key elements and principles of a feedback loop – Cause and Effect Exercise: The key elements and principles of a feedback loop Hot process fluid into shell Cooling water into tubes Add a sensor and a valve to make this possible. TC We want to control the hot outlet temperature.
  • 37. Chapter 1 Acknowledgement Dr. M. A. A. Shoukat Choudhury Professor, Department of Chemical Engineering, BUET