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Envelope analysis of nonlinear electronic circuits based on harmonic balance method
Author(s) -
Kawata Junji,
Kinouchi Takaaki,
Yamagami Yoshihiro,
Nishio Yoshifumi,
Ushida Akio
Publication year - 2012
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.721
Subject(s) - harmonic balance , spice , schematic , nonlinear system , envelope (radar) , trigonometric functions , topology (electrical circuits) , equivalent circuit , electronic engineering , transient (computer programming) , total harmonic distortion , circuit diagram , mathematics , computer science , engineering , physics , electrical engineering , telecommunications , voltage , radar , geometry , quantum mechanics , combinatorics , operating system
SUMMARY We propose here a Spice‐oriented envelope analysis based on the HB (harmonic balance) method, where Fourier coefficients are assumed to be slowly varying. The Fourier expansions of nonlinear devices are executed by MATLAB in the symbolic forms. In this time, the nonlinearities need to be approximated by the polynomial functions. The determining equation of the HB method is formulated as Sine–Cosine circuit in the form of schematic diagram using ABMs (analog behavior models) of Spice. Each sub‐circuit corresponding to the higher harmonic component is almost the same circuit topology as the original one and has dynamic elements such as capacitors and inductors. The Sine–Cosine circuit can be solved by the transient analysis of Spice. Thus, our method is rather a symbolic approach in the meaning that the HB determining equation is given by the schematic diagram of Spice. Our method can be easily applied to the analysis of middle order of nonlinear communication circuits such as mixers and amplitude modulators and to the analysis of interesting phenomena in the nonlinear oscillations. After many simulation experiments, the results show that our envelope analysis is about 50 times faster than the direct transient analysis. Copyright © 2010 John Wiley & Sons, Ltd.