Network Theory tutorial

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1. NETWORK TOPOLOGY:
  •    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

2. NETWORK THEOREMS & COUPLED CIRCUITS:

  • Substitution theorem
  •  Reciprocity theorem
  • Maximum power transfer theorem
  • Tellegen’s theorem
  • Millman’s theorem
  •  Compensation theorem
  •  Coupled Circuits
  • Dot Convention for representing coupled circuits
  • Coefficient of coupling
  • Band Width and Q-factor for series and parallel resonant circuits

3. LAPLACE TRANSFORM & ITS APPLICATION:

  • Introduction to Laplace Transform
  • Laplace transform of some basic functions
  • Laplace transform of periodic functions
  • Inverse Laplace transform
  •  Application of Laplace transform: Circuit Analysis (Steady State and Transient)

4. TWO PORT NETWORK FUNCTIONS & RESPONSES:

  • z, y, ABCD and h-parameters
  •  Reciprocity and Symmetry
  • Interrelation of two-port parameters
  •  Interconnection of two-port networks
  •  Network Functions
  • Significance of Poles and Zeros
  •  Restriction on location of Poles and Zeros
  • Time domain behaviour from Pole-Zero plots

5. FOURIER SERIES & ITS APPLICATION:

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

6. NETWORK SYNTHESIS:

  • Hurwitz polynomial
  •  Properties of Hurwitz polynomial
  •  Positive real functions and their properties
  • Concepts of network synthesis
  •  Realization of simple R-L, R-C and L-C functions in Cauer-I, Cauer-II, Foster-I and Foster-II forms

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