A network theory document explores principles and concepts related to networks, which can include social networks, computer networks, or any interconnected system. It covers topics like nodes, edges, connectivity, and network dynamics, providing insights into the structure and behavior of complex s...
Lecture notes on Network Theory
Submitted By
Soudamini Behera
, BEES2211 Network Theory
MODULE- I
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.
MODULE- II
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 PoleZero plots.
MODULE- III
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.
, -: NETWORK THEORY:-
Any branch in a network may be substituted by a different branch without
disturbing the voltage and current in the entire network provided the new
branch has same set of terminal voltage and current as the original branch.
This theorem states that components can be interchanged as long as the
terminal voltage and current are maintained.
NOTE.
This theorem is a general theorem and is applicable for any network. the
modified network must be a unique solution. This theorem is very important in
circuit analysis of network having non-linear elements.
PROOF.
In a network ‘N’ let no of branches is ‘b’. The branchy method requires
the solution of ‘2b’ equations. Now after substitution 2b-2 or 2 (b-1) branch
equations remain unaltered. However as a branch voltage and current remain
same in it. This means that the set of 2b equation will be satisfied with the
same current and voltage as before.
EXPLANATION
Let’s take an example of a simple networkwhere we see the branch equivalent
of the load resistance.
It is observed that a known potential difference and current in a branch can be
replaced by an ideal current and voltage source respectively.
LIMITATION
, The theorem can’t be used to solve the network containing two or more
sources that are not in series or parallel.
- First obtain the concerned branch voltage and through current given by
Vxy Ixy
- The branch may be substituted by independent voltage source or
current source shown in fig.respectively.
RECIPROCTY THEORUM
In a linear bilateral network if current flowing through any branch is I
due to voltage source E, then the same current will flow when the
position of voltage and ammeter are interchanged.in other case E and I
are mutually transferable.
Now transfer resistance =E/I
Y11 Y12 Y13
Y = Y21 Y22 Y23
Y31 Y32 Y33
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller hsankar887330. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $7.99. You're not tied to anything after your purchase.
