EE-202 Linear Networks: Transient Analysis
Textbook: Fundamentals of Electric Circuits, Alexander and Sadiku,
McGraw-Hill.
Instructor: Dr. Hadi Saadat
This course introduces the student to transient analysis of networks using linear circuit models. System differential equations are set up and solved using both classical and Laplace techniques. In addition to analysis of circuits containing R, L, and C components, and step function and sinusoidal sources, it includes impulse function methods, transfer functions, and Bode plots. SPICE is also used to simulate system response. (Prerequisite EE201, MA235)
- Formulate system differential equations from electric circuits used to represent first and second order systems
- Formulate and obtain transient solutions to system differential equations using classical techniques
- Formulate and obtain transient solutions to system differential equations using Laplace techniques
- Derive Laplace transforms for simple functions
- Find inverse Laplace transforms utilizing partial fraction expansion
- Use simulation tools to do transient analysis
- Utilize the transfer function in network analysis
- Obtain frequency response plots from transfer functions
- Obtain transfer functions for simple RL, RC, and RLC circuits
- Perform Bode diagrams
- Develop laboratory skills to implement and debug circuits
- Write laboratory reports that provide succinctness in presentation of concepts, data analysis, and appropriateness of conclusion
- Single time constant circuits (4 classes)
- Transient analysis of series and parallel RLC circuits (4 classes)
- Laplace transform analysis of circuits (8 classes)
- S-domain circuit models and analysis (4 classes)
- Transfer functions, Bode plots, and the decibel (4 classes)
- SPICE transient analysis (3 classes)
- Tests and quizzes (3 classes)
|
Week |
Day |
TOPICS |
Ch. |
| 1 | 1 |
Review of power & energy in inductor and capacitor, Natural response of
an RL circuit.
|
7
|
| 2 |
Natural response of RC circuits.
|
7
|
|
| 3 |
The step response of RL circuits.
|
7
|
|
| 2 | 1 |
The step response of RC circuits. PSpice and the transient response.
|
7
|
| 2 |
Natural response of a parallel RLC circuit.
|
8
|
|
| 3 |
Step response of a parallel RLC circuit.
|
8
|
|
| 3 | 1 |
Natural response of a
series RLC circuit.
|
8
|
| 2 |
Step Response of a series RLC circuit.
|
8
|
|
| 3 |
Review
|
||
| 4 | 1 |
Test
#1
|
|
| 2 |
Definition of the Laplace transform,
singularity functions, step & impulse functions.
|
15
|
|
| 3 |
The functional transform.
|
15
|
|
| 5 | 1 |
Operational transform.
|
15
|
| 2 |
Inverse transform.
|
15
|
|
| 3 |
Inverse transform continued.
|
15
|
|
| 6 | 1 |
Poles and zeros. Initial & final value theorems.
|
15
|
| 2 |
Applications to
integro-differential equations.
|
15
|
|
| 3 |
Circuit elements in the s-domain.
|
15
|
|
| 7 | 1 |
Circuit analysis in the s-domain.
|
15
|
| 2 |
Mesh and nodal analysis,
Thévenin's and Superposition theorems in
s-domain.
|
15
|
|
| 3 |
The transfer function & the steady-state sinusoidal
response
|
15
|
|
| 8 | 1 |
.The impulse function in the circuit analysis.
|
15
|
| 2 |
Review
|
||
| 3 |
Test
#2
|
||
| 9 | 1 |
Frequency response review.
|
14
|
| 2 |
Bode diagram.
|
14
|
|
| 3 |
Bode diagrams: complex poles and zeros.
|
14
|
|
| 10 | 1 |
Bode diagram continued.
|
14
|
| 2 |
PSpice
for frequency response.
|
14
|
|
| 3 |
Review
|
||
| 11 |
Final
|
Course Policy and Examination
Two, 1-hour examination will be given during the course of the term at dates shown below.
A two-hour, comprehensive final examination will be given during final exam week.
Problem Assignments
Every student is expected to solve at least all of the drill exercises plus those
end-of-Chap. problems for which answers are given.
Exam. Schedule & Grading
The course grade will be based on the following:
| Test 1 | Monday | September 30 | 20% |
| Test 2 | Thursday | October 31 | 20% |
| HW&PSpice | 10% | ||
| Lab. | 20% | ||
| Final | Monday | Nov. 18, 8:00-10:00 AM | 30% |
EE-202 Laboratory Schedule
Students are expected to read the material for each experiment prior to attending the lab.
A spiral notebook should be kept by each student. The number and the title of the
experiment, name of the student and the date of the experiment should be written at
the top of the first page for each experiment. The notebook should contain a complete
record of all laboratory work, including pre-laboratory analysis, circuit diagrams, lab
data, waveforms, computer results and conclusions. Your pre-laboratory analysis will be
checked at the beginning of the laboratory. All steps of an experiment should be performed
as specified and data recorded as required. A formal report is required for some of
the experiments and will be assigned in the Lab.
| Week | Exp. No. | Title |
| 1 | 1 | Introduction |
| 2 | 2 | Using Instruments |
| 3 | 3 | Satellite Signal Meter DC Subsystem Design |
| 4 | 4 | Carrier phase shifter for quadrature communications |
| 5 | 5 | Automated control of instruments |
| 6 | 6 | Relay coil transient |
| 7 | 7 | Satellite signal meter carrier level sensor |
| 8 | 8 | Satellite signal meter FSK data demodulator |
| 9 | 9 | Satellite signal meter transient response modeling and simulation |
| 10 | 10 | Continued |
NOTES:
Formal reports will be pealized 5% per day for each day
they are late. No reports will be accepted after Wednesday of week 10.
Lab. Report Requirement
A formal report is required for some of the experiments. The formal report should have the
name of the experiment in the middle of the page, and in the lower right hand corner the
following:
COURSE/SECTION
DATE
STUDENT NAME
PARTNERS
INSTRUCTOR
The formal report (and to some degree the informal report) should
include the following topics in the order presented below:
PURPOSE
This should clearly and concisely state the objectives for the experiment in suitable
engineering terminology.
BACKGROUND AND THEORETICAL DISCUSSION
The background necessary to understand the main principles in the experiment. Integrate
the pre-laboratory analysis in this section.
PROCEDURE
A brief description of what was done in the laboratory. All circuit diagrams drawn neatly
with template should be included here. Use third person (past tense) in the passive voice.
Don't use the pronouns I, we, us, etc. Thus in place of a statement "We measured the
current ... ", use the statement "The current was measured ..."
RESULTS
This section contains data obtained in tabular form including derived data. This section
should not contain any text other than table headings, column titles and units. A
subsection for Sample Calculations must be included which shows a sample of each type of
calculation made for the data. Place all graphs here. Include graph title, legend and
label all axes. All curves must be drawn smooth and continuous.
DISCUSSION OF RESULTS AND CONCLUSION
Summary of results, answers to all questions and make sure all the report requirements are
addressed. You must analyze your data and state why your graphs are shaped the way they
are. Relate your results to the theory where appropriate. Draw appropriate conclusions,
and where possible, relate the results to engineering applications.
For specific instructions and suggestions see the laboratory manual.