A Graph-Based Power Flow Method for Balanced Distribution Systems

Tao Shen, Yanjun Li and Ji Xiang
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Tao Shen: School of Information and Electrical Engineering, Zhejiang University City College, Hangzhou 310030, China
Yanjun Li: School of Information and Electrical Engineering, Zhejiang University City College, Hangzhou 310030, China
Ji Xiang: College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

Energies, 2018, vol. 11, issue 3, 1-11

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 C urrents and the bus V oltage B ias 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.

Keywords: distribution system; power flow; graph theory; radial network; meshed network; backward/forward sweep (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (10)

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