Journal
IEEE TRANSACTIONS ON POWER SYSTEMS
Volume 33, Issue 1, Pages 153-165Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2017.2703835
Keywords
Contraction mapping; power flow; three-phase distribution load-flow; Z-Bus method; ZIP load
Categories
Funding
- National Science Foundation [CCF-1421583]
- Direct For Computer & Info Scie & Enginr
- Division of Computing and Communication Foundations [1421583] Funding Source: National Science Foundation
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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.
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