Course Details
Subject {L-T-P / C} : EE2401 : Network Theory { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Dr. Rakesh Sinha
Syllabus
Introduction to Networks and Their Elements [6 hours]
What is a Network?, Network Variables, Properties of Networks, Electrical Sources, Two Terminal Passive Elements, AC Response of Passive Elements, Conservation of Charge and Flux, and Effective or root-mean-square (RMS) values.
Complex Number in Circuit Analysis [2 hours]
What is Phasor? Phasor Algebra, Application of Phasor in R-L and R-C Circuit, Complex Power, Complex Frequency.
Circuit Theoretic Concepts and Measure [3 hours]
Kirchhoff’s Laws, Quality of Reactive Components, Duality, Transformation of Voltage and Current Sources.
One Port Network and Resonance [4 hours]
What is One-Port Network? Series Resonance, Parallel Resonance or Anti Resonance, Reactance and Susceptance Curve, Universal Resonance Curve.
Two-port Network and Its Network Parameters [5 hours]
What is network parameter?, Z-parameters, Y-parameters, ABCD-parameters, Inv-ABCD-parameters, Hybrid-parameters, Inv. Hybrid parameters, Parameters conversion, Terminated Two-port Network.
Node and Mesh Analysis [5 hours]
Introduction to Graph, Network Variables, Branch Equations, Incidence Matrix and Node Analysis, Mesh Analysis using Tie-Set Matrix, Twig Voltage Analysis using Cut-Set Matrix.
Network Theorems [4 hours]
Excitation-Response Theorems: Superposition Theorem, Reciprocity Theorem, Equivalent Source Theorems: Millman’s Theorem, Thevenin’s Theorem and Norton’s Theorem, Substitution and Compensation Theorems, Maximum Power Transfer Theorem, Energy Conservation Theorem.
Fourier Series and Fourier Transform [5 hours]
Basis of Vectors, Matrix representation of vector space, Continuous Valued Signal, Eigenfunctions, Fourier Series, Properties of Fourier Expansion, Fourier Transform, Properties of Fourier Transform.
Time Domain Analysis [5 hours]
Laplace Transform: A Generalized Fourier transform, Evaluation of some Laplace Transforms, Important Theorems, Step Response of First order Circuit, Step Response of Second-order Circuit, Characteristic Equation and Natural Response, Impulse Response and Transfer Function, Convolution Integral and Its Application, State Variables analysis.
Course Objectives
- To analyse the response of a network using Fouries Series, Fourier Transform and Laplace Transform Techniques
Course Outcomes
On completion of this course students are expected to be able to: <br />CO1 characterize different elements of electrical networks and describe various terms of electrical signal and system. <br />CO2 determine the amplitude and phase spectrum of periodic and non-periodic signals and reconstruct time-domain signals from the frequency spectrum using Fourier analysis and synthesis. <br />CO3 calculate one-port and two-port network parameters and apply the network parameters in analyzing electrical networks. <br />CO4 apply Node Analysis, Mesh Analysis, Incident Matrix, Tie-set Matrix and Cut-set Matrix methods in analyzing circuits. <br />CO5 apply various network theorems in network analysis. <br />CO6 perform the transient analysis of electrical circuits using Laplace Transform and Inverse Laplace Transform and State equations.
Essential Reading
- C.K.Alexander and M.N.O.Sadiku, Fundamentals of Electric Circuits,, McGrawHill, 2013
- W. H. Hayt and T. E. Kimmerley, Engineering Circuit Analysis, TMH, 2001
Supplementary Reading
- M. E. Van Valkenberg, Network Analysis, PHI, 1990
- C. L. Philips, J. M. Parr and E. A. Riskin, Signals, Systems and Transforms, PHI, 4e, 2013