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arXiv · 1605.08511

Convergence of the Z-Bus Method for Three-Phase Distribution Load-Flow with ZIP Loads

Mohammadhafez Bazrafshan·Nikolaos Gatsis
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Abstract

This paper derives a set of sufficient conditions guaranteeing that the load-flow problem in unbalanced three-phase distribution networks with wye and delta ZIP loads has a unique solution over a region that can be explicitly calculated from the network parameters. It is also proved that the well-known Z-Bus iterative method is a contraction over the defined region, and hence converges to the unique solution.

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Mohammadhafez Bazrafshan, Nikolaos Gatsis. 2016-05-27. Convergence of the Z-Bus Method for Three-Phase Distribution Load-Flow with ZIP Loads. https://arxiv.org/abs/1605.08511

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