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Formulating hybrid equations and state equations for nonlinear circuits using SPICE
Author(s) -
Yamamura Kiyotaka,
Tonokura Mitsuru
Publication year - 2013
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.788
Subject(s) - spice , nonlinear system , electronic circuit , computer science , network analysis , resistive touchscreen , linear circuit , equivalent circuit , electronic engineering , mathematics , control theory (sociology) , engineering , voltage , physics , electrical engineering , artificial intelligence , control (management) , quantum mechanics , computer vision
SUMMARY Hybrid equations are often used in the theoretical study of nonlinear resistive circuits because they have an easy‐to‐analyze structure. They are also advantageous in the numerical analysis of nonlinear resistive circuits because they are separable and consist of a relatively small number of variables. However, the hybrid equations are seldom used in practical applications because their formulation is complicated. In this letter, we propose a simple method for formulating the hybrid equations using SPICE. In the proposed method, we only perform the transient analysis of SPICE on a linear circuit that is obtained through a small modification to the original circuit. It is also shown that state equations for nonlinear dynamic circuits can also be formulated by using the proposed method. Copyright © 2011 John Wiley & Sons, Ltd.