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A substitution algorithm for solving nonlinear circuits with multi‐frequency components
Author(s) -
Ushida A.,
Chua L. O.,
Sugawara T.
Publication year - 1987
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.4490150403
Subject(s) - electronic circuit , nonlinear system , algorithm , component (thermodynamics) , residual , substitution (logic) , mathematics , computer science , control theory (sociology) , engineering , physics , control (management) , quantum mechanics , artificial intelligence , electrical engineering , thermodynamics , programming language
In this paper, we present an efficient algorithm for calculating the steady‐state response of nonlinear circuits such as forced circuits driven by multi‐frequency‐component signals, forced oscillators, and coupled oscillators. We call the technique a substitution method because the variation at each step is calculated by solving an associated time‐invariant sensitivity circuit at each frequency component of the residual error, whose circuit is derived from a relaxation method. the algorithm is very simple and efficient, and it can be applied to a wide variety of nonlinear circuits.