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Analysis of non‐linear transmission lines by frequency domain perturbation method
Author(s) -
USHIDA AKIO,
TANJI YUICHI,
NISHIO YOSHIFUMI
Publication year - 1997
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/(sici)1097-007x(199703/04)25:2<95::aid-cta955>3.0.co;2-3
Subject(s) - electric power transmission , frequency domain , transmission line , linear circuit , mathematics , varicap , mathematical analysis , electronic circuit , computer science , electronic engineering , physics , equivalent circuit , telecommunications , voltage , engineering , electrical engineering , capacitance , electrode , quantum mechanics
We discuss a numerical method for solving non‐linear transmission lines in the frequency domain. Such transmission lines are widely used for communications such as in GaAs integrated circuits and varactor diode circuits. The circuit equations are described by non‐linear partial differential equations, so their analysis is very complicated compared with that of linear transmission lines. In this paper we propose a frequency‐domain perturbation method for weakly non‐linear transmission lines where the wave‐forms are approximated by Fourier expansions and each frequency component is calculated by a modified perturbation method. To improve convergence, we introduce two new techniques, the compensation method and the homotopy method , which help to make the iteration stable and can be applied to a wide class of non‐linear transmission lines. We have analysed shock wave phenomena in example. © 1997 by John Wiley & Sons, Ltd.