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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

    er1

    Home Heating Control System

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    Chapt

    er1

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    Chapt

    er1

    Chapte

    r1

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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

    temperature 32U D Dwivedi12/29/2014

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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

    Chapt

    er1

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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

    Chapt

    er1

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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

    =

    Chapt

    er1

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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

    Chapt

    er1

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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

    Chapt

    er1

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    Chapt

    er1

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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