A waveform relaxation technique for steady state initialization of circuits with nonlinear elements and ideal diodes

TitleA waveform relaxation technique for steady state initialization of circuits with nonlinear elements and ideal diodes
Publication TypeJournal Article
Year of Publication1996
AuthorsWang, Q., and J. R. Marti
JournalPower Delivery, IEEE Transactions on
Volume11
Pagination1437 -1443
Date Publishedjul.
ISSN0885-8977
KeywordsCircuit analysis computing, convergence, convergence of numerical methods, equivalent circuits, harmonic analysis, iterations, iterative methods, multiple area Thevenin equivalent technique, nonlinear circuit elements, nonlinear network analysis, numerical robustness, power electronic circuits, power semiconductor diodes, power system analysis computing, power system harmonics, power systems, software packages, SPICE, steady-state circuit initialization, two-point boundary value problem, waveform relaxation technique
Abstract

This paper presents an efficient and robust technique for finding steady-state harmonic solutions in power circuits with nonlinear elements and ideal diode-type devices. The problem is formulated as a two-point boundary value (TPBV) problem using the waveform relaxation technique. Ideal diodes are modelled using a multiple area Thevenin equivalent technique. The overall solution is very robust and convergence is achieved within a few iterations even for very low damping and stiff systems. Examples are presented comparing the proposed technique with a previous technique and with direct ldquo;brute-force rdquo; integration

URLhttp://dx.doi.org/10.1109/61.517502
DOI10.1109/61.517502

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