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

被引：39

作者：

Bazrafshan, Mohammadhafez ^{[1
]}

Gatsis, Nikolaos ^{[1
]}

机构：

[1] Univ Texas San Antonio, Dept Elect & Comp Engn, San Antonio, TX 78249 USA

来源：

IEEE TRANSACTIONS ON POWER SYSTEMS | 2018年 / 33卷 / 01期

基金：

美国国家科学基金会;

关键词：

Contraction mapping; power flow; three-phase distribution load-flow; Z-Bus method; ZIP load; DISTRIBUTION-SYSTEM; POWER; EXISTENCE; MODELS;

D O I：

10.1109/TPWRS.2017.2703835

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper derives a set of sufficient conditions guaranteeing that the load-flow problem in unbalanced three-phase distribution networks with wye and delta constant-power, constantcurrent, and constant-impedance loads (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.

引用

页码：153 / 165

页数：13

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