Lecture 14, 4/28/2012
Chapter 10:
Material Balances for Processes Involving Reactions
Objectives:
1. Carry out a degree of freedom analysis
2. Formulate and solve material balances using (a) species balances and (b)
element balances
3. Understand how the
100507 Exam 2 Materials and Energy Balances
ANSWERS ON SEPARATE SHEETS. NAME IN THE UPPER RIGHT CORNER OF EACH
PAGE AND NUMBER THE PAGES. (LEAVE (TOP LEFT) ROOM FOR A STAPLE)
(Gas constant, g, and periodic table are given at the end.)
1)* Titanium dioxide
Control System Design Based on
Frequency Response Analysis
Chapter 14
Frequency response concepts and techniques play an important
role in control system design and analysis.
Closed-Loop Behavior
In general, a feedback control system should satisfy the fo
Feedforward and Ratio Control
Chapter 15
In Chapter 8 is was emphasized that feedback control is an
important technique that is widely used in the process industries.
Its main advantages are as follows.
1. Corrective action occurs as soon as the controlle
Frequency Response Analysis
Chapter 13
Sinusoidal Forcing of a First-Order Process
For a first-order transfer function with gain K and time constant ,
the response to a general sinusoidal input, x ( t ) = A sin t is:
y (t ) =
(
+1
KA
2 2
e t / cos t + s
Development of Dynamic Models
Chapter 2
Illustrative Example: A Blending Process
An unsteady-state mass balance for the blending system:
rate of accumulation rate of rate of
=
of mass in the tank mass in mass out
(2-1)
1
or
d (V )
dt
= w1 + w2 w
(2-2)
Laplace Transforms
Chapter 3
Important analytical method for solving linear ordinary
differential equations.
- Application to nonlinear ODEs? Must linearize first.
Laplace transforms play a key role in important process
control concepts and techniques.
Transfer Functions
Convenient representation of a linear, dynamic model.
Chapter 4
A transfer function (TF) relates one input and one output:
x (t )
X (s)
system
y (t )
Y (s)
The following terminology is used:
x
y
input
output
forcing function
respons
More General Transfer Function Models
Poles and Zeros:
Chapter 6
The dynamic behavior of a transfer function model can be
characterized by the numerical value of its poles and zeros.
General Representation of ATF:
There are two equivalent representatio
Chapter 5
Dynamic Behavior
In analyzing process dynamic and process control systems, it is
important to know how the process responds to changes in the
process inputs.
A number of standard types of input changes are widely used for
two reasons:
1. They ar
123456789
8
18.1
McAvoy has reported the PI controller settings shown in Table S18.1 and
the set-point responses of Fig. S18.1a and S18.1b. When both controllers
are in automatic with Z-N settings, undesirable damped oscillations result
due to the control
12345678998
11.1
11.2
1
G c ( s ) = K c 1 +
s
I
The closed-loop transfer function for set-point changes is given by Eq. 11
1
36 with Kc replaced by K c 1 +
s ,
I
H ( s )
H sp ( s )
H ( s )
H sp ( s )
1 1
K c K v K p K m 1 +
s (s + 1)
I
=
1 1
1 + K
BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, PILANI
FIRST SEMESTER 2010-2011
Comprehensive Examination
CHE C473: Advanced Process Control
Date: 06.12.2010
Time: 3.00-6.00 P.M.
Maximum Marks: 120
Note: Programmable calculators with integration and matrix ope
BIRLA INSTITUTE OF TECHNOLOGY & SCIENCE, PILANI
Process Control (CHE C441/INSTR C451)
Comprehensive Examination (Closed Book)
Date 07/12/2009
Time 3 Hrs
Marks 40
PART A
[5 2]
1. Name the different time integral performance criteria measures and give their
BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, PILANI
FIRST SEMESTER 2008-2009
COMPREHENSIVE EXAMINATION
CHE C473: Advanced Process Control
Duration: 3 Hours
Date: 11.12.2008
Maximum Marks: 12 0
Note: Answer all parts of a question tog ether and in sequence.
BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, PILANI
FIRST SEMESTER 2009-2010
Comprehensive Examination
CHE C473: Advanced Process Control
Date: 11.12.2009
Time: 2.00-3.00 P.M.
Maximum Marks: 120
Note: Programmable calculators with integration and matrix ope
BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, PILANI
Semester II, 2006 2007 Date: 01/05/07, Comprehensive Exam. (CLOSED BOOK)
Course No: CHE C441
Duration: 180 min.
Course Title: Process Control
Max. Marks: 80
Note: Please collect PART-B question paper and a
BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, PILANI
SECOND SEMESTER 2007-2008
COMPREHENSIVE EXAMINATION
Course No.: CHE C441
Date: 02.05.2008
Course Name: Process Control
Maximum Marks: 80
I/C: Hare Krishna Mohanta
Duration: 3 hours
Note: Answer all parts o
Spring 2006
Process Dynamics, Operations, and Control
Problem Set 10
10.450
This problem set attempts to create a realistic context for obtaining a process model. It then
explores how you might use the model. All the operations themselves are straightforw
Spring 2006
Process Dynamics, Operations, and Control
Problem Set 11
10.450
Dont misapply correct formulas! If you encounter a question about stability, dont start
writing formulas until youve understood the process and the system. For example, determine
Spring 2006
Process Dynamics, Operations, and Control
Problem Set 7
10.450
This problem set allows us to update the simulator with a full PID controller algorithm. We then
calculate the performance of a first order system under PI control. We can compare
Spring 2006
Process Dynamics, Operations, and Control
Problem Set 9
10.450
This problem set reviews the old procedure of estimating closed-loop stability by the Bode
method, as well as tuning by gain and phase margins. The pretext is a change of controlle
Spring 2006
Process Dynamics, Operations, and Control
Problem Set 6
10.450
A metal block is to be kept at temperature Tsp. The value of Tsp is occasionally changed. A
check of the Biot number convinces you that the temperature will be spatially uniform.
F
Spring 2006
Process Dynamics, Operations, and Control
Problem Set 8
10.450
This problem set concerns representing nonlinear processes with linear system models. Our
exothermic reactor can exhibit multiple steady-states for some values of the input variabl
Spring 2006
Process Dynamics, Operations, and Control
Problem Set 5
10.450
The tank is 1 m tall and 60 cm in diameter. The flow to the tank varies unpredictably and
without regular pattern, but has historically been between 0.06 and 0.085 m3 min-1. We des
Spring 2006
Process Dynamics, Operations, and Control
Problem Set 3
10.450
(1) Your new proportional controller arrives from eBay. On one end, the controller has an input
port that is to be fed a signal that ranges from 0 to 100%. Beside it is a set point
Spring 2006
Process Dynamics, Operations, and Control
Problem Set 2
10.450
(1) Sketch a first-order step response: mark off increments on the abscissa as multiples of the
time constant; mark off the ordinate as a fraction of the long-term response. This i
Spring 2006
Process Dynamics, Operations, and Control
10.450
Problem Set 1
(1) Equation (2.2.4) gives the response of a first-order system to a step input. Let the initial
condition y(0) be zero. Let the step occur at t = 0. Complete this table:
t/
0
1
2
Overview of Control System Design
Chapter 10
General Requirements
1. Safety. It is imperative that industrial plants operate safely
so as to promote the well-being of people and equipment
within the plant and in the nearby communities. Thus, plant
safety