Journal
ENERGIES
Volume 11, Issue 3, Pages -Publisher
MDPI
DOI: 10.3390/en11030511
Keywords
distribution system; power flow; graph theory; radial network; meshed network; backward/forward sweep
Categories
Funding
- National key research and development program of China [2016YFB0900605]
- National Natural Science Foundation of China [61573314, 61773339]
- science and technology project of SGCC [5211SX16000J]
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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.
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