Network Analysis and Synthesis

Pre-requisite Graph Theory : Graph of a network, Definitions, Tree, Co tree , Link, Basic loop and basic cut set, Incidence matrix, Cut set matrix, Tie set matrix duality, Loop and nodal methods of analysis. Network Theorems (Applications to a.c. networks) : Super-position theorem, Thevenins theorem, Nortons theorem, Maximum power transfer theorem, Reciprocity theorem. Millmans theorem, Compensation theorem, Tellegens theorem. Network Functions : Concept of complex frequency , Transform impedances network functions of one port and two port networks, Concept of poles and zeroes, Properties of driving point and transfer functions, Time response and stability from pole zero plot. Two Port Networks : Characterization of LTI two port networks ZY, ABCD and h parameters, Reciprocity and symmetry. Inter-relationships between the parameters, Inter-connections of two port networks, Ladder and Lattice networks. T and representation. (a) Network Synthesis : 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 : Image parameters and characteristics impedance, Passive and active filter fundamentals, Low pass, High pass, (Constant K type) Filters and introduction to active filters.