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

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2 Author(s)
Q. Wang ; Dept. of Electr. Eng., British Columbia Univ., Vancouver, BC, Canada ; J. R. Marti

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 “brute-force” integration

Published in:

IEEE Transactions on Power Delivery  (Volume:11 ,  Issue: 3 )