Title
Envelope analysis of nonlinear electronic circuits based on harmonic balance method
Abstract
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.
Year
DOI
Venue
2012
10.1002/cta.721
International Journal of Circuit Theory and Applications
Keywords
Field
DocType
nonlinear device,direct transient analysis,cosine circuit,nonlinear communication circuit,nonlinear electronic circuit,harmonic balance method,envelope analysis,schematic diagram,transient analysis,circuit topology,hb method,spice-oriented envelope analysis,harmonic balance
Nonlinear system,Control theory,Spice,Harmonic,Electronic engineering,Schematic,Fourier series,Harmonic balance,Electronic circuit,Mathematics,Topology (electrical circuits)
Journal
Volume
Issue
ISSN
40
3
0098-9886
Citations 
PageRank 
References 
2
0.37
17
Authors
5
Name
Order
Citations
PageRank
Junji Kawata132.08
Takaaki Kinouchi220.37
Yoshihiro Yamagami3103.85
Yoshifumi Nishio422971.08
Akio Ushida56924.16