Analysis of Networks and Network Equilibrium Equation by Applying Graph theory

Poorva V. Adhyapak

Analysis of Networks and Network Equilibrium Equation by Applying Graph theory

Keywords : Network, directed graph, trees, incidence matrix, KCL, KVL


Abstract

Here we describe a general technique detecting structural features in large scale network data that works by dividing the nodes of network, by making use of few fundamental laws of networks and graph theory. We give the examples demonstrating how the system of equations can be solved by making use of graph theory. Also to write the tie-set matrix and obtain the network equilibrium equation in matrix forms using KVL. Calculating the loop current and then calculating branch voltage is also discussed with an example.

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