Title :
Unified theory on topological analysis of linear systems
Author_Institution :
Ohio University, Department of Electrical Engineering, Athens, USA
fDate :
11/1/1967 12:00:00 AM
Abstract :
Topological formulas were stated by Kirchhoff for mesh equations, by Maxwell for nodal equations, by Mason for signal-flow graphs and by Coates for flow graphs. In the paper, it is shown that all these formulas can be obtained from one another. Using these relationships, a generalised star-mesh transformation in network theory is obtained. Simple ways of drawing these associated directed graphs from a given network and illustrative examples are also given.
Keywords :
analysis and synthesis methods; circuit theory;
Journal_Title :
Electrical Engineers, Proceedings of the Institution of
DOI :
10.1049/piee.1967.0312