INEL 4102 Electrical System Analysis II
Credits: 3
Period: 3 hours of lecture per week
Required in INEL & ICOM
Coordinator: Academic Affairs Committee
Course Description
English: Network functions; circuit analysis by Laplace transforms and Fourier series; two-port networks;
Butterworth and Chebyshev filters; computer-aided analysis of these systems.
Pre-requisites
INEL 3105 and (FISI 3172 or FISI 162) and INGE 3016
Corequisites
INEL4115 and MATE4009
Course Objectives:
One objective of the course is to develop in the student the ability to characterize and analyze linear systems
using circuit parameters, impulse response, and transfer functions, as well as the characterization of signals. A
second objective is to develop in the student the skill to use the Laplace transform and the Fourier series in the
characterization and analysis processes. A third objective is to introduce the concept of the linear filter, its
specification, and design
Minimum or Required Resources Available:
Computer facilities with access to the PSpice and MATLAB programs
List of topics to be covered:
Outline
Transient analysis of RC, RL and RLC circuits. Characterization of the step
response of first and second order circuits.
Introduction to Laplace transform. Determination of the Laplace transform for
simple functions using the integral transform. Properties of the Laplace
transform. Determination of the Laplace transform using tables and properties.
Determination of the inverse Laplace transform for rational transforms using
partial fraction expansion and tables.
Laplace transform in circuit analysis: Circuit representation in the s-domain.
Determination of the zero-input and the zero-state response of a linear time
invariant circuits.
Laplace transform in circuit analysis: Network transfer functions: driving point
impedance and admittance functions, transadmitance and transimpedance functions,
voltage and current gains. Input/output circuit representation using the network
transfer function. Input/output circuit representation using convolution and its
relation to the transfer function.
Frequency response of linear time invariant circuits. Relation to the transfer
function and to the sinusoidal steady state response. Introduction to Bode
plots. Asymptotic approximation of Bode plots. Plotting Bode diagrams using
software tools.
Filters: Introduction to basic frequency selective circuits. Resonance phenomena
in electric circuits and resonant circuits. Figures of merit to describe filter
characteristics. Examples of passive filters. Examples of active filters using
operational amplifiers.
Contact Hours
6.0
6.0
4.0
5.0
6.0
5.0
Fourier series analysis of linear time invariant (LTI) circuits: determination
of the Fourier series representation (complex and trigonometric) for
non-sinusoidal periodic signals, power spectra plots; Effective values for
non-sinusoidal periodic signals using Fourier coefficients.
Fourier series analysis of linear time invariant (LTI) circuits: Steady-state
analysis of linear time invariant circuit using Fourier series; Apparent and
Average power, and power factor in LTI circuits excited by non-sinusoidal
periodic signals.
Exams
Total hours: (equivalent to contact period)
4.0
6.0
3.0
45
Bibliography: text book, title, author and year and other supplement materials
Textbook: James W. Nilsson and Susan Riedel, Electric Circuits, 9th Edition, Prentice Hall (2010).
James W. Nilsson and Susan Riedel, Electric Circuits, 9th Edition, Prentice Hall (2010).
References:
J. David Irwin and R. Mark Nelms, Basic Engineering Circuit Analysis, 9th Edition, John Wiley (2008).
C. Alexander and M. Sadiku, Fundamentals of Electric Circuits, 5th edition, McGraw Hill (2012)
R.C. Dorf, and J.A. Svoboda, Engineering Circuit Analysis, 8th edition, Wiley (2010).
R.L. Boylestad, Introductory Circuit Analysis, 12th edition, Prentice Hall, (2010)
A.H. Robbins, W.C. Miller, Circuit Analysis: Theory and Practice, Delmar Cengage Learning, 5th edition
(2012)
W.H. Hayt, Jr., J.E. Kemmerly, and S.M. Durbin, Engineering Circuit Analysis, 7th edition, McGraw Hill
(2007).
Specific goals for the course
#
1
2
3
4
Course Outcomes
Apply Laplace Transform to solve or analyze electrical circuit system.
Apply Fourier Series to solve or analyze electrical circuit system.
Apply Bode diagram to analyze the transfer function and the steady state
sinusoidal responses.
Use commercially available software for circuit analysis using Fourier
Series, and Bode plots.
ABET Student
Outcomes
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a
a
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Person (s) who prepared this description and date of preparation: Academic Affairs Committee, February 16,
2012 Submitted by: Miguel Vélez-Reyes, Committee Coordinator, Revised: Eduardo I. Ortiz-Rivera, March
21, 2013