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Process Dynamics and Control
(B.Tech. 6thSemester ChE & PE)
Dr. U D Dwivedi
Assistant Professor (Electrical Engineering)Room No. 202, Rajiv Gandhi Institute of Petroleum
Technology, Ratapur Chowk,
Rae Bareli -229316 INDIA
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Course Introduction: Control System
a core subject
extreme importance in process industry,
space-vehicle, missile-guidance systems,
robotics, and the like
integralpart of modern manufacturing and
industrial processes
essentialin industrial operations such as
controlling pressure, temperature, humidity,
viscosity, and flow in the process industries.2U D Dwivedi12/29/2014
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Objective of Control System
The primary objective of process control is to
maintain a process at desired operating
condition, safelyand efficiently
(economically), while satisfying environmental
and product quality.
The subject of process control is concerned
with how to achieve this goal.
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Course Objectives:
To familiarize you with the basics of dynamical
system theory and practices,
To equip you with the tools necessary for
control system modeling, analysis, simulation
and design.
The emphasis will be on a model-based
approach to control system simulation, design
and analysis.
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Class Time Table
Hours per Week:
3 Lectures, 1 Tutorial, 1 Matlab based Lab
Session of 2 hours work
Days and Room:
As per institutes semester time table (see noticeboard)
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Syllabus & Lectures Plan
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Syllabus & Lectures Plan
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SIMULATION LAB:
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SIMULATION LAB:
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Textbooks:
1. Lecture Notes and Study Material Provided inthe class.
2. Seborg D.E., T.F. Edgar, and D.A. Mellichamp,
Process Dynamics and Control, 2nd Ed., JohnWiley & Sons Inc., New York, NY (2004)
3. Ogata.Kafsutuko, Modern Control
Engineering, 4th
Ed., Prentice Hall of India,New Delhi, 2002.
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Reference Book:
1. Stephanopoulus, G., Chemical Process Control: An Introduction toTheory and Practice, Prentice Hall of India, New Delhi, 1997.
2. Ogunnaike, B. A., and Ray, W. H., Process Dynamics, Modeling and
Control, Oxford University Press, New York, 1994.
3. Perry, R.H. and Green, D.W., Perry's Chemical Engineers'
Handbook, 8th Ed., McGraw Hill, New York, 2007.
4. Eckman D. P.,Industrial Instrumentation, Wiley, New York, 1990.
5. B. Wayne Bequette , Process Control: Modeling, Design, andSimulation, Prentice Hall, 2003.
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Performance Evaluation/Course Grade
1stMid-term Exam: 20 %
2ndMid-term Exam: 20%
Final Exam: 35%
Home Work/ Term Paper: 5%Quizzes : 10 %
Laboratory Work: 10%
Attendance : *
TOTAL 100%
* As per Institutes Policy 0-10 marks12U D Dwivedi12/29/2014
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Class and Lab participation will be considered
for borderline grades. Students may be calledupon for discussion questions.
Attendance policy: As per Institutes Policy
Late homework/Lab work report will beaccepted with a penalty of 20% for each day
late.
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a) Definitions & Control Terminology
b) An Everyday Example of Process Control
c) prototype system-blending tankd) feedback control
e) implementation of control
f) justification of control
Chapter1
Introduction to Process
Control
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Plant:A plant may be a piece of equipment,
perhaps just a set of machine parts functioningtogether, the purpose of which is to perform a
particular operation.
Any physical object to be controlled is called
plant.
Ex: a mechanical device, drilling machine, electrical drive,
a heating furnace, a chemical reactor, or a spacecraft.
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Processes:
Dictionary Definition: a natural, or an artificial,
progressively continuing operation that consists of aseries of controlled actions systematically directed
toward a particular result or end.
Chemical Process: The conversion of feed materials to
products using chemical or physical operations.
We will call any operation or equipment to be controlled
a process.
Examples are chemical, electrical, economic, and
biological processes.
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Disturbance:
A disturbance is an input or a change in theinput that tends to adversely affect the value of
the output of a system.
Can be internally generated or generated
outside.
Can be known or unknown.
Measured or unmeasured
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Process Control meanscontrol of a process by process engineer
manually or through automatic controller in
order to have the process occurring in thedesired way.
A process may involve
Heat transfer, Mass transfer, Chemical reaction,Speed control, Position control, Inflation (Price)Control, etc.
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Most courses in Engineering Design involve Steady State(ss.)
In fact, no process will ever operate at a true ss.
For instance:
1) Start up of a new plant
2) Shut down for maintenance
3) Some process variable can not be controlled to ss.
(raw material from other processes and material fromthe environment (cooling water)) Disturbance
4) Change of product specification Set-point
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Why do you need process control?
Safety
Pressure
Temperature
Product quality specifications and production rate
Maintain specifications of product (no oscillation)
Environmental Regulations Flow rates of effluents from plants must be within
allowable limits
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Why do we need process control?
Operational constraints
Tanks must not overflow or go dry
Distillation columns must not be flooded
Economics
Economical utilization of raw materials, energy,
capital, human labor
Economic benefit(ex. increased production level,reduced raw material costs or enhanced
production quality)
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Control Terminology
Controlled Variables - these are the variables whichquantify the performance or quality of the final
product, which are also called output variables.
Manipulated Variables - these input variables are
adjusted dynamically to keep the controlled variablesat their set-points.
Disturbance Variables - these are also called "load"
variables and represent input variables that can
cause the controlled variables to deviate from theirrespective set points.
Chapt
er1
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Set-point change - implementing a change in theoperating conditions. The set-point signal is
changed and the manipulated variable is adjusted
appropriately to achieve the new operating
conditions. Also called servomechanism (or "servo")control.
Disturbance change - the process transient
behavior when a disturbance enters, also called
regulatory control or load change. A control systemshould be able to return each controlled variable
back to its set-point.
Control Terminology(2)
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Driving a Car: An Everyday Example of Process
Control
Control Objective (Set point):
Maintain car in proper lane
Controlled variable:
Location on the road
Manipulated variable:
Orientation of the front wheels Actuator or final control element:
Drivers steering wheel
Sensor:
Drivers eyes
Controller:
Driver
Disturbance:
Curve in road
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Schematic of Feedback Loop
General diagram
Actuator
Sensor
Process
Controlled
Variable
Disturbance
uController
cSetpoint+
-
e
Manipulated
variable
Controlledvariable
Error
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Chapt
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Home Heating Control System
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Chapt
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Chapte
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Heat Exchanger Control:
TT
TC
Condensate
Steam
Feed
ProductStream
Pneumatic signal (solid line) and electronic signal (dash line)
TT:Temparature Transmitter ; TC: Temparature Controller
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Heat Exchanger Control
Controlled variable
Outlet temperature ofproduct stream
Manipulated variable
Steam flow
Actuator Control valve on steam
line
Sensor
Thermocouple on productstream
Disturbance
Changes in the inlet feed
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Illustrative Examples
Continuous stirred-tank heater
Question ; Assume that inlet temperature changes with
time. How can we ensure that T remains at or near the
desired (set point) temperature T=TR?
Continuous stirred-tank heater.
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Possible Strategies
1.Measure T and adjust Q .
2.Measure Tiand adjust Q.
3.Measure T and adjust w.
4.Measure Tiand adjust w.
Objective :T=TR
5.Measure T and Tiand adjust Q.
6.Measure T and Tiand adjust w.7.Place a heat exchanger on the inlet stream.
8.Use a large tank.
Classification
1 & 3; Feedbackcontrol
2 & 4; Feedfowardcontrol
5 & 6; Feedfoward-Feedbackcontrol
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Illustrative Example: Blending system
Notation:
w1, w2and w are mass flow rates
x1,x2andxare mass fractions of component A
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Assumptions:
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Assumptions:
1. w1is constant
2. x2
= constant = 1 (stream 2 is pure A)
3. Perfect mixing in the tank
Control Objective:
Keepxat a desired value (or set point)xsp, despite variations inx1(t). Flow rate w2can be adjusted for this purpose.
Terminology:
Controlled variable (or output variable):x
Manipulated variable (or input variable): w2
Disturbance variable (or load variable):x1
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D i Q i Wh l f i i d h
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Design Question. What value of is required to have2w
?SPx x=
Overall balance:
Component A balance:
1 20 (1-1)w w w= +
1 1 2 2 0 (1-2)w x w x wx+ =
(The overbars denote nominal steady-state design values.)
At the design conditions, . Substitute Eq. 1-2, and, then solve Eq. 1-2 for :
SPx x= SPx x=2 1x = 2w
12 1 (1-3)
1
SP
SP
x xw w
x
=
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Equation 1-3 is the design equation for the blending
system.
If our assumptions are correct, then this value of will keep
at . But what if conditions change?
x
SPx
Control Question. Suppose that the inlet concentration x1
changes with time. How can we ensure that x remains at or near
the set point ?As a specific example, if and , thenx>xSP.
SPx
1 1x x> 2 2w w=
Some Possible Control Strategies:
Method 1.Measure x and adjust w2.
Intuitively, ifxis too high, we should reduce w2;
2
w
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Manual control vs. automatic control
Proportional feedback control law,
1. where Kcis called the controller gain.
2. w2(t) andx(t) denote variables that change with time t.
3. The change in the flow rate, is proportional to
the deviation from the set point,xSPx(t).
( ) ( )2 2 (1-4)c SPw t w K x x t = +
( )2 2 ,w t w
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M th d 2 M d dj t
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Method 2.Measure x1and adjust w2.
Thus, if x1is greater than , we would decrease w2so that
One approach: Consider Eq. (1-3) and replace and with
x1(t) and w2(t) to get a control law:
1x
2 2;w w