A relaxation method for getting the steady-state responses of nonlinear circuits

Author

Ushida, A. ; Chua, L.O.

Author_Institution

Dept. of Electr. & Electron. Eng., Tokushima Univ., Japan

fYear

1989

Firstpage

586

Abstract

An efficient algorithm is presented for finding the steady-state responses of stiff nonlinear circuits. It is based on a frequency-domain relaxation method that can be efficiently applied to obtain the steady-state waveforms of both periodic systems and multifrequency-component systems. The solution at each iteration is obtained by solving an associated linear time-invariant circuit via modified nodal analysis at every frequency component. This algorithm is very simple and can be applied efficiently to solve communication circuits

Keywords

equivalent circuits; frequency-domain analysis; iterative methods; nonlinear network analysis; communication circuits; efficient algorithm; frequency-domain relaxation method; iteration solution; linear time-invariant circuit; modified nodal analysis; multifrequency-component systems; periodic systems; relaxation method; steady-state responses; steady-state waveforms; stiff nonlinear circuits; Frequency domain analysis; Large-scale systems; Linear circuits; Nonlinear circuits; Nonlinear equations; Oscillators; Relaxation methods; Resistors; Steady-state; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1989., IEEE International Symposium on

Conference_Location

Portland, OR

Type

conf

DOI

10.1109/ISCAS.1989.100420

Filename

100420