Convergence of the Z-Bus Method for Three-Phase Distribution Load-Flow with ZIP Loads
Optimization and Control
2017-05-10 v3 Systems and Control
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.
Keywords
Cite
@article{arxiv.1605.08511,
title = {Convergence of the Z-Bus Method for Three-Phase Distribution Load-Flow with ZIP Loads},
author = {Mohammadhafez Bazrafshan and Nikolaos Gatsis},
journal= {arXiv preprint arXiv:1605.08511},
year = {2017}
}
Comments
This article has been accepted for publication in the IEEE Transactions on Power Systems