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2EE301: Network Analysis                                                                                 

The course Network Analysis and synthesis is a fundamental course offered to students of Semester-III B.Tech. in electrical engineering. It gives exposure to the topics such as network topology, methods of solving network equations, initial conditions in circuits, Laplace transform methods, electricity fundamentals, waveform synthesis, Network theorems etc. The course deals with understanding of basic methods of analysing and solving networks circuits behaviour of circuit elements like; R, L and C under various operating conditions.  It also focuses on representation of any network in form of its network parameters. The understanding of this course is important as it lays the foundation for all other courses in electrical and electronic engineering. The course finds applications in all branches of engineering and hence is essential for inter disciplinary learning and research.

 Objective of the course:

The objective of this course is to provide a comprehensive knowledge of basics of network analysis and synthesis

Pre-requisite:

The students are expected to have the prerequisite knowledge of basic electrical engineering like concept of load, single phase and three phase voltage, impedance and admittance parameters, basic circuit laws. They are also expected to have the knowledge of mathematics such as algebra, calculus, geometry, complex numbers, differentiation, integration etc. Students are expected to review these concepts before coming to class.

Course Outcomes (CO)

COs are clear statements of the expectations for student achievements in the course.

At the end of the course, a student will be able to –

  1. understand the basic laws, theorems and the methods of analysing electrical circuits.
  2. analyse the properties of coupled circuits and usage of network graph to solve circuits.
  3. obtain the transient and steady-state response of electrical circuits.
  4. understand two port network and network synthesis.

Syllabus:

Basic Circuit Fundamentals

Basic definitions, Nature of sources, Phasor technique, Kirchhoff’s laws, Mesh and Nodal Analysis, Super-mesh and Super-Node Analysis, Source transformation, Duality.

Coupled Circuits

Self and Mutual inductance, Coefficient of coupling, Dot convention, Tuned circuit, Single tuned circuits.

Network Theorems

Superposition, Thevenin’s, Norton’s, Maximum power transfer, Tellegen’s, Millman’s and Reciprocity theorem in DC and AC circuits.

Network Topology

Basic definitions, Formation of incidence, f-tie set and f-cut set matrix, relationship between matrices, Network equilibrium equations.

Time Domain Analysis

Initial conditions, Procedure for evaluating initial conditions, Transient analysis of DC & AC circuits.

Frequency Domain Analysis

Laplace transform of standard signals, Shifting theorem, initial and final value theorem, Solution of circuit equations by Laplace transform, Evaluation of circuit response for various signals.

Two Port Networks

Classification of networks, Two port parameters, Condition of Reciprocity and Symmetricity, Interrelations and Interconnections of two port networks.

Network Functions

Calculation of network functions, Poles and Zeros of network functions and their restriction, time domain behaviour from pole – zero plot. Hurwitz Polynomial, Properties of positive real function, necessary and sufficient conditions, basic synthesis procedure, synthesis of L-C, R-L and R-C driving point functions

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