Title :
Distribution of natural frequencies in electrical ladder networks
Author :
Lloris, Antonio ; Prieto, A. ; Sanchez-Dehesa, J.
Author_Institution :
University of Granada, Granada, Spain
fDate :
6/1/1983 12:00:00 AM
Abstract :
The evolution of the distribution of natural frequencies in electrical ladder networks composed by the iteration of the same elemental structure, as the number of sections increase, is analyzed. These networks are seen as a large-scale many-body system. Several collective properties of the spectrum; namely, the eight first moments of the density of natural frequencies, the skewness, and the excess; are explicitly calculated. Different cases of transmission lines represented by ladder networks are considered.
Keywords :
Capacitors; Distributed parameter circuits; Frequency; Impedance; Inductors; Large-scale systems; Publishing; Transmission line matrix methods; Transmission line theory; Voltage;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1983.12666