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Power System Analysis

EE-202 Linear Networks: Transient Analysis
 

Textbook:   Fundamentals of Electric Circuits, Alexander and Sadiku, McGraw-Hill.
Instructor:  Dr. Hadi Saadat     

Catalog Data - Course objectives - Course Topics
Course Schedule
Course Policy and Examinations
Lab Report Requirements
Download EE202 Lab Manual
Lecture notes on simple frequency selective circuits
MATLAB GUI Program for series & parallel RLC circuits


Catalog Data

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)

Course objectives

  • 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   

Course topics

  • 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)

 Course Schedule                                   

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-chapter 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. 188:00-10:00 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.

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