Accession Number : AD0621925

Title :   A TOPOLOGICAL TECHNIQUE FOR ANALYSIS OF ACTIVE NETWORKS,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Barrows,John T.

Report Date : AUG 1965

Pagination or Media Count : 38

Abstract : This paper presents a generalization of Fuessner's method for the analysis of active networks. This method makes it possible to determine system functions of any network in a simple and straightforward manner. In the usual topological analysis of networks it is necessary to list all possible trees or co-trees and the signs of their tree admittance products as well as determining the set of 2-tree products and their signs for the network function in question. Usually two graphs, a current and a voltage graph, are used to implement this process when dependent sources are present in the network. The method presented here utilizes solely the original topology and the assigned branch current directions to determine these terms and their sign. Justification of the technique is given for the cases of one and two dependent sources present in a network with the summary of the method for each case. The analysis of a network with an arbitrary number of dependent sources is seen to follow directly. Finally an example of a network with two dependent sources is given which illustrates the method. (Author)

Descriptors :   (*TOPOLOGY, ELECTRICAL NETWORKS), (*ELECTRICAL NETWORKS, TOPOLOGY), ELECTRICAL IMPEDANCE, ADMITTANCE, MATRICES(MATHEMATICS), CIRCUITS

Distribution Statement : APPROVED FOR PUBLIC RELEASE