DocumentCode :
799213
Title :
Determining the steady-state output of nonlinear oscillatory circuits using multiple shooting
Author :
Parkhurst, Jeffrey R. ; Ogborn, Lawrence L.
Author_Institution :
PCI Components Div., Intel Corp., Folsom, CA, USA
Volume :
14
Issue :
7
fYear :
1995
fDate :
7/1/1995 12:00:00 AM
Firstpage :
882
Lastpage :
889
Abstract :
In this paper, we propose a time-domain approach for computing the steady-state response of nonlinear oscillatory circuits using multiple shooting techniques. For nonautonomous circuits, the algorithm is easily adapted from the multiple shooting techniques currently used to solve boundary value problems. The nonautonomous multiple shooting algorithms must be modified to work in the autonomous case as the period T is unknown. The two algorithms developed in this paper are compared with previously proposed single shooting methods on several example circuits. Additionally, the multiple shooting algorithm is compared with single shooting on a parallel machine to demonstrate its easy adaptation to this type of computer platform. The proposed multiple shooting algorithms contain both the desirable attribute of quadratic convergence while exhibiting a larger region of convergence than previously proposed single shooting methods
Keywords :
Newton method; boundary-value problems; circuit analysis computing; nonlinear network analysis; oscillators; relaxation oscillators; time-domain analysis; boundary value problems; multiple shooting; nonautonomous circuits; nonlinear oscillatory circuits; parallel machine; quadratic convergence; steady-state output; steady-state response; time-domain approach; van der Pol oscillator; Boundary conditions; Boundary value problems; Circuit testing; Concurrent computing; Convergence; Extrapolation; Frequency domain analysis; Parallel machines; Steady-state; Time domain analysis;
fLanguage :
English
Journal_Title :
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0278-0070
Type :
jour
DOI :
10.1109/43.391735
Filename :
391735
Link To Document :
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