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The algebra and topology of electrical networks

1961; Volume: 108; Issue: 13 Linguagem: Inglês

10.1049/pi-c.1961.0030

2054-0426

P.R. Bryant,

Neural Networks and Applications

The paper gathers together the various results and methods used in an elementary algebraic and topological study of electrical networks. Considerations are restricted to networks containing a finite number of lumped resistors, capacitors and self and mutual inductors. The result is a connected logical presentation leading, by use of the concepts of incidence, loop and cut-set matrices, to the corresponding nodal, loop and cut-set analysis methods.