NDLI: Graph-theoretic based approach for the load-flow solution of three-phase distribution network in the presence of distributed generations

Content Provider	IET Digital Library
Author	Murari, Krishna Padhy, Narayana Prasad
Abstract	Matrix is one of the convenient means for depicting/illustrating a graph on the computer. In this study, the notion graph-theory in conjunction with matrix algebraic operations has been adopted for solving the load-flow problem of three-phase distribution systems (radial and meshed). Five significant matrices, path impedance (PI), loads beyond branch (LB), path drop (PD), slack bus to other buses drop (SBOBD), load flow matrix (LFM), and straight-forward matrix operations have been utilised to attain the load-flow solutions. The aforementioned matrices reveal the system's topology and pertinent information about the operating characteristics of the distribution system during LF studies. This algorithm is formulated entirely on various matrices formulation and computations, even at the stage of upgrading the voltage at every individual bus. Owing to the aforementioned reasons, this LF methodology is computationally efficient for large-sized distribution systems. Moreover, the distributed generations (DGs) modelled as PQ and PV buses are incorporated into the proposed load-flow algorithm. A generalised breakpoint matrix has been derived to compute the mesh breakpoint and PV breakpoint injections simultaneously. The effectiveness of the proposed methodology has been tested on several standard distribution systems. The test outcome shows the viability and accuracy of the proposed method.
Starting Page	1627
Ending Page	1640
Page Count	14
ISSN	17518687
Volume Number	14
e-ISSN	17518695
Issue Number	Issue 9, May (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-gtd/14/9
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2019.1176
Journal	IET Generation, Transmission & Distribution
Publisher Date	2020-03-25
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Combinatorial Mathematics Distributed Generations Distributed Power Generation Distribution Network Distribution System Generalised Breakpoint Matrix Graph Theory Graph-theoretic-based Approach Large-sized Distribution System LF Studies Load Beyond Branch Load Flow Load Flow Matrix Load-flow Algorithm Load-flow Problem Load-flow Solution Matrix Algebra Matrix Algebraic Operation Matrix Formulation Notion Graph Theory Operating Characteristic Path Drop Path Impedance Significant Matrix Slack Bus to Other Bus Drop Standard Distribution System Straight-forward Matrix Operation Three-phase Distribution Network Three-phase Distribution System
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Energy Engineering and Power Technology Electrical and Electronic Engineering

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