Open AccessAlternative analysis method of lumped‐element circuit model for transmission lines
Author(s) -
Ferreira D.B.,
Nascimento D.C.
Publication year - 2020
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2020.1601
Subject(s) - network analysis , transmission line , electric power transmission , matrix (chemical analysis) , electronic engineering , voltage , microwave , computer science , reciprocal , port (circuit theory) , smith chart , topology (electrical circuits) , electrical engineering , engineering , electrical impedance , telecommunications , impedance matching , linguistics , philosophy , materials science , composite material
This Letter presents an alternative analysis method to derive the voltage–current transmission matrix of transmission line sections. By contrast with the approach usually adopted in many microwave engineering textbooks, the proposed method, instead of coping with the telegrapher's equations and their solutions, computes efficiently the relationship between the voltages and currents at the input and output of a circuit modelled through N identical cascaded two‐port reciprocal networks. This is implemented through the eigendecomposition of the transmission matrix of the two‐port networks which are subsequently synthesised with L ‐sections. Assuming N as being very large, one obtains the desired transmission matrix, and additionally, it is depicted that the circuit supports forward and backward waves.