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Energies 2018, 11(3), 511; https://doi.org/10.3390/en11030511

A Graph-Based Power Flow Method for Balanced Distribution Systems

1,2,†
,
1,†,* and 3,†
1
School of Information and Electrical Engineering, Zhejiang University City College, Hangzhou 310030, China
2
College of Control Science and Engineering, Zhejiang University, Hangzhou 310027, China
3
College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 14 December 2017 / Revised: 21 February 2018 / Accepted: 21 February 2018 / Published: 27 February 2018
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Abstract

A power flow method based on graph theory is presented for three-phase balanced distribution systems. The graph theory is used to describe the power network and facilitate the derivation of the relationship between bus Currents and the bus Voltage Bias from the feeder bus (the CVB equation). A distinctive feature of the CVB equation is its unified form for both radial and meshed networks. The method requires neither a tricky numbering and layering of nodes nor breaking meshes and loop-analysis, which are both necessary in previous works for meshed networks. The convergence of the proposed method is proven using the Banach fixed-point theorem. View Full-Text
Keywords: distribution system; power flow; graph theory; radial network; meshed network; backward/forward sweep distribution system; power flow; graph theory; radial network; meshed network; backward/forward sweep
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Shen, T.; Li, Y.; Xiang, J. A Graph-Based Power Flow Method for Balanced Distribution Systems. Energies 2018, 11, 511.

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