A Condition of Equivalence between Bus Injection and Branch Flow Models in Radial Networks

Tao Ding; Runzhao Lu; Yongheng Yang; Frede Blaabjerg

doi:10.1109/TCSII.2019.2916208

A Condition of Equivalence between Bus Injection and Branch Flow Models in Radial Networks

Tao Ding
, Runzhao Lu
, Yongheng Yang
, Frede Blaabjerg

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

This brief presents an exact bijection between the branch flow model (BFM) and bus injection model (BIM) in radial systems. Moreover, the equivalence and the corresponding condition are investigated and rigorously proved. The exploration reveals that the bijection exists if and only if the network is connected and there is no zero-impedance branch.

Original language	English
Article number	8712441
Pages (from-to)	536-540
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	67
Issue number	3
DOIs	https://doi.org/10.1109/TCSII.2019.2916208
State	Published - Mar 2020

Keywords

Branch flow model
bijective function
bus injection model
convexification

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10.1109/TCSII.2019.2916208

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abstract = "This brief presents an exact bijection between the branch flow model (BFM) and bus injection model (BIM) in radial systems. Moreover, the equivalence and the corresponding condition are investigated and rigorously proved. The exploration reveals that the bijection exists if and only if the network is connected and there is no zero-impedance branch.",

keywords = "Branch flow model, bijective function, bus injection model, convexification",

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AB - This brief presents an exact bijection between the branch flow model (BFM) and bus injection model (BIM) in radial systems. Moreover, the equivalence and the corresponding condition are investigated and rigorously proved. The exploration reveals that the bijection exists if and only if the network is connected and there is no zero-impedance branch.

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KW - bijective function

KW - bus injection model

KW - convexification

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A Condition of Equivalence between Bus Injection and Branch Flow Models in Radial Networks

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Keywords

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