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Steady‐state response of non‐linear circuits: A frequency‐domain relaxation method
Author(s) -
Ushida A.,
Chua L. O.
Publication year - 1989
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/cta.4490170302
Subject(s) - electronic circuit , frequency domain , relaxation (psychology) , waveform , steady state (chemistry) , component (thermodynamics) , frequency response , time domain , linear system , linear circuit , computer science , control theory (sociology) , mathematics , algorithm , equivalent circuit , mathematical analysis , voltage , engineering , telecommunications , psychology , social psychology , radar , physics , control (management) , chemistry , artificial intelligence , electrical engineering , computer vision , thermodynamics
We propose here an efficient algorithm for finding the steady‐state response of stiff non‐linear circuits. It is based on a frequency‐domain relaxation method and can be applied efficiently to obtain the steady‐state waveforms of both periodic systems and multi‐frequency‐component systems. the solution at each iteration is obtained by solving an associated linear time‐invariant circuit at every frequency component via modified nodal analysis. Our algorithm is very simple and can be applied efficiently to solve a large class of practical non‐linear communication circuits which are notoriously stiff and hence rather time‐consuming to solve with existing methods.