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.
Highlights
Power flow calculation is the most fundamental numerical problem for power system analysis.A fast and general power flow method will be required by distribution systems as the development of smart grid and must be as efficient as possible in the future [1]
Distribution networks have some special characteristics such as radial/weakly meshed structure, high R/X ratios of impedances, large number of branches and nodes, etc. These features may cause problems when the algorithms for power flow of transmission networks are applied to distribution systems [4]
This paper proposes a graph-based power flow method for distribution systems, which has a unified formulation for both radial and meshed networks
Summary
A fast and general power flow method will be required by distribution systems as the development of smart grid and must be as efficient as possible in the future [1]. Distribution networks have some special characteristics such as radial/weakly meshed structure, high R/X ratios of impedances, large number of branches and nodes, etc. These features may cause problems when the algorithms for power flow of transmission networks are applied to distribution systems [4]. Power flow method is a very important tool for improving the reliability and efficiency of fault analysis [5], and it can provide evidence for protection for power distribution systems
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