Network Analysis

Teacher

Nanda Kishore Ray

Category

Core Courses

Course Attendees

Still no participant

Course Reviews

Still no reviews

Course Name : Network Analysis

Code(Credit) : CUTM1043 (2-1-0)

Course Objectives

  • To learn techniques of solving circuits involving different active and passive elements.
  • To analyze the behavior of the circuit’s response in time domain.
  • To analyze the behavior of the circuit’s response in frequency domain.
  • To synthesize an electrical network from a given impedance/admittance function.

Learning Outcomes

  • Understand and apply concepts of network topology such as trees, cut-sets, and tie-sets for circuit analysis and formulation of network equations.
  • Apply basic network theorems like Substitution, Milliman's, Tellegen's, and Maximum Power Transfer theorem to simplify and analyze DC electrical circuits.
  • Evaluate the behavior of electrical circuits under transient and steady-state conditions using first-order and second-order differential equations.
  • Solve single-phase and three-phase AC circuits using phasor techniques, impedance concepts, and complex power calculations.
  • Analyze electrical networks using two-port parameters (Z, Y, H, T) and their interrelationships for circuit modeling and interconnection analysis.

Course Syllabus

Module I:  Network Topology: (3hrs theory +3hrs practice=7hrs)

Graph of a network, Concept of tree, Incidence matrix, Tie-set matrix, Cut-set matrix, Formulation and solution of network equilibrium equations on loop and node basis

Practice:

1.Incidence Matrix Formulation

2.Tie-set Matrix Formulation

3.Cut-set Matrix Formulation

Module II: Network Theorems: (4hrs Theory+6hrs practice=11hrs)

Substitution theorem, Reciprocity theorem, Maximum power transfer theorem, Tellegen’s theorem, Millman’s theorem, Compensation theorem

Practice:

1.Verification of Reciprocity theorem

2.Verification of Tellegen’s theorem

3.Verification of Milliman’s theorem

4.Verification of Maximum power transfer theorem

5.Verification of Compensation theorem

Module III: Coupled Circuits Theory (4hrs Theory + 2hr Practice=6hrs)

Coupled Circuits, Dot Convention for representing coupled circuits, Coefficient of coupling, Series and parallel resonant circuits: Band Width and Q-factor

Practice

6. Self-inductance, mutual inductance and coefficient of coupling to be determined for a 1-Ø transformer representing coupled circuit.

7. Frequency response of a series and parallel resonant circuit by laboratory set up.

Module IV: Network Laplace Transform: (3hrs Theory + 2hrs Practice)

Application of Laplace transform: Circuit Analysis (Steady State and Transient)

Practice:

8.Analysis of transient characteristics using Matlab

9.AC and DC transient response analysis for RL, RC and RLC circuits

Module V: Two Port Network (4hrs Theory+5hrs practice)

Z, Y, ABCD and h-parameters, Reciprocity and Symmetry, Interrelation of two-port parameters, Interconnection of two-port networks.

Practice:

10.Determination of Z parameters

11.Determination of Y parameters

12.Determination of h parameters

13.Determination of ABCD parameters

Module VI: Filters :(4hrs Theory + 4hrs Practice)

Brief idea about network filters (Low pass, High pass, Band pass and Band elimination) and their

frequency response

Practice:

14.Design and frequency response analysis of Low Pass filter

15.Design and frequency response analysis of High Pass filter

16.Design and frequency response analysis of Band Pass filter

17.Design and frequency response analysis of Band elimination filter

Module VII: Fourier Series Theory (5hrs Theory + 2hr Practice)
Fourier series, Fourier analysis and evaluation of coefficients, Steady state response of network to periodic signals, Fourier transform and convergence, Fourier transform of some functions

Practice:

18.Fourier series expansion of Square wave

19.Fourier series expansion of Sine wave

Text Books:

  1. M. E. VAN VALKENBURG- Network Analysis, PHI Publications
  2. A K Chakraborty, “Network Theory,” DhanpatRai Publication
  3. MAHMOOD NAHVI – Electric Circuits, SCHAUM’S Outlines Fifth Edition

Reference:

  1. Smarajit Ghosh- Network Theory Analysis & Synthesis, MC Graw Hill Publishers
  2. Dr. B.R. GUPTA-Network Analysis & Synthesis, S.Chand

Link to Courseware: http://courseware.cutm.ac.in/courses/network-analysis/

 

Session Plan

Graph of a network

Sources:

https://www.tutorialspoint.com/network_theory/network_theory_topology.htm

Lecture Note: Session 1

Concept of tree

Sources:

https://www.tutorialspoint.com/network_theory/network_theory_topology.htm

Lecture Note: Session 2

Incidence Matrix Formulation using MATLAB/Simulink

Source: https://in.mathworks.com/help/symbolic/sym.incidencematrix.html

Lab Session: 1

Tie-set matrix

Source: Lecture Note: Session 3

Cut-set matrix

Source:

Lecture Note: 4

Tie-set Matrix Formulation using MATLAB/Simulink

Source: https://in.mathworks.com/help/matlabmobile/ug/creating-matrices-and-arrays.html

https://www.youtube.com/watch?v=6Ps1TbZMUWc

Lab Session: 2

Formulation and solution of network equilibrium equations on loop and node basis

Source: https://www.youtube.com/watch?v=UaTANyhKgjI

Lecture Note: 5

Substitution theorem

Source: https://www.electrical4u.com/substitution-theorem/

Lecture Note: 6

Cut-set Matrix Formulation using MATLAB/Simulink

Source: https://www.youtube.com/watch?v=0gkVrb9__kM

Lab Session: 3

Reciprocity theorem

Source: https://unacademy.com/content/upsc/study-material/physics/reciprocity-theorem/

Lecture Note: 7

Maximum power transfer theorem

Source: https://byjus.com/physics/maximum-power-transfer-theorem/

Lecture Note: 8

Verification of Reciprocity theorem using MATLAB/Simulink

Source: https://www.youtube.com/watch?v=6VEW3DChE0E

Lab Session: 4

Tellegen’s Theorem

Source: https://circuitglobe.com/what-is-tellegens-theorem.html

Lecture Note: 9

Millman’s theorem

Source: https://www.electrical4u.com/millman-theorem/

Lecture Note: 10

Verification of Tellegen’s theorem using MATLAB/Simulink

Source: https://www.youtube.com/watch?v=UvZYIJhbX3k

Lab Session: 5

Compensation theorem

Source: https://circuitglobe.com/what-is-compensation-theorem.html

Lecture Note: 11

Coupled Circuits, Dot Convention for representing coupled circuits

Source: https://www.tutorialspoint.com/network_theory/network_theory_coupled_circuits.htm

Lecture Note: 12

Verification of Milliman’s theorem using MATLAB/Simulink

Source: https://www.youtube.com/watch?v=BXrHBwQAhUo

Lab Session: 6

Coefficient of coupling

Source: https://circuitglobe.com/what-is-coefficient-of-coupling.html

Lecture Note: 13

Series and parallel resonant circuits: Band Width and Q-factor

Source: https://care4you.in/wp-content/uploads/2020/03/Resonance-Power-Factor-and-Q-Factor.pdf

Lecture Note: 14

Verification of Maximum power transfer theorem using MATLAB/Simulink

Source: https://www.youtube.com/watch?v=kY2E5Pxv48A

Lab Session: 7

Application of Laplace transform: Circuit Analysis (Steady State and Transient)

Source: https://www.geeksforgeeks.org/electronics-engineering/laplace-transform-in-circuit-analysis/

Lecture Note: 15

Application of Laplace transform: Circuit Analysis (Steady State and Transient)

Source: https://www.geeksforgeeks.org/electronics-engineering/laplace-transform-in-circuit-analysis/

Lecture Note: 16

Verification of Compensation theorem using MATLAB/Simulink

Source: https://asnm-iitkgp.vlabs.ac.in/exp/verification-compensation-theorem/simulation/index.html

Lab Session: 8

Z, Y, ABCD and h-parameters

Source: https://www.tutorialspoint.com/network_theory/network_theory_twoport_networks.htm

Lecture Note: 17

Reciprocity and Symmetry

Source: https://www.eeeguide.com/condition-for-symmetry-in-two-port-network/

Lecture Note: 18

Determination of Z parameters using MATLAB/Simulink

Source: https://www.youtube.com/watch?v=0Eoe0zeLuO4

Lab Session: 9

Interrelation of two-port Parameters

Source: https://care4you.in/inter-relationship-between-the-two-port-parameters/

Lecture Note: 19

Interconnection of two-port networks

Source: https://www.eeeguide.com/interconnection-of-two-port-network/

Lecture Note: 20

Determination of Y parameters using MATLAB/Simulink

Source: https://asnm-iitkgp.vlabs.ac.in/exp/two-port-network/simulation.html

Lab Session: 10

Brief idea about network filters (Low pass, High pass, Band pass and Band elimination) and

their frequency response

Source: https://www.youtube.com/watch?v=6cWFYmmZmCg

Lecture Note: 21

Brief idea about network filters (Low pass, High pass, Band pass and Band elimination) and

their frequency response

Source: https://www.youtube.com/watch?v=6cWFYmmZmCg

Lecture Note: 22

Determination of h parameters using MATLAB/Simulink

Source: https://www.youtube.com/watch?v=9pvKdDpEfGE

Lab Session: 11

Fourier series

Source: https://mathworld.wolfram.com/FourierSeries.html

Lecture Note: 23

Fourier analysis

Source: https://www.youtube.com/watch?v=QgrangUJkaI

Lecture Note: 24

Determination of ABCD parameters using MATLAB/Simulink

Source: https://www.youtube.com/watch?v=sjMMLuvabAk

Lab Session: 12

evaluation of coefficients of Fourier Analysis

Source: https://www.youtube.com/watch?v=jAfYQmFfDs8

Lecture Note: 25

Steady state response of network to periodic signals

Source: https://edurev.in/t/364274/Notes-Steady-State-Response

Lecturer Note:26

Design and frequency response analysis of Low Pass filter

Source: https://www.youtube.com/watch?v=dHb4REDGNhA

Lab Session: 13

Fourier transform and convergence,

Source: https://www.youtube.com/watch?v=H4PtiEGJQIE

Lecturer Note:27

Fourier transform of some functions

Source: https://byjus.com/maths/fourier-transform/

Lecturer Note:28

Our Main Teachers