Networks Analysis & Synthesis

Graph Theory: Pre- Requisites: Basic circuital law, Mesh & Nodal analysis. Importance of Graph Theory in Network Analysis, Graph of a network, Definitions, planar &Non- Planar Graphs, Isomorphism, Tree, Co Tree, Link, basic loop and basic cutset, Incidence matrix, Cut set matrix, Tie set matrix, Duality, Loop and Nodal methods of analysis.

AC Network Theorems (Applications to dependent & independent sources): Pre- Requisites: Concepts of DC Network Theorems, Electrical Sources&Basic circuital law. Superposition theorem, Thevenin’s theorem, Norton’s theorem, Maximum power transfer theorem, Reciprocity theorem. Millman’s theorem, Compensation theorem, Tellegen’s Theorem.

Transient Circuit Analysis: Pre- Requisites: Laplace Transform& Concept of Initial conditions. Natural response and forced response, Transient behaviour of RL, RC and RLC networks, Evaluation of initial conditions, Transform Impedance, Transient response and steady state response for arbitrary inputs (DC and AC), Evaluation of time response of RL, RC and RLC networks with and without initial conditions both through classical and Laplace transform methods.

Network Functions: Pre- Requisites: Concept of basic circuital law, parallel, series circuits. Concept of complex frequency, Network functions of one port and two port networks, Concept of poles and zeros, Properties of driving point and transfer functions. Two Port Networks- Characterization of LTI two port networks; Z, Y,ABCD, g and h parameters, Reciprocity and symmetry, Inter-relationships between the parameters, Inter- connections of two port networks, Ladder and Lattice networks: T & Π representation, terminated two Port networks.

a. Network Synthesis: Pre- Requisites: Laplace Transform, Concept of immittance functions. Positive real function; definition and properties, Properties of LC, RC and RL driving point functions, Synthesis of LC, RC and RL driving point immittance functions using Foster and Cauer first and second forms. b. Filters Pre- Requisites: Concept of Passive & active elements. Image parameters: Image impedance, characteristics impedance, image transfer parameter, Passive and active filter fundamentals, Low pass filters, High pass (constant K type) filters, Introduction to active filters.