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

Tao Ding, Runzhao Lu, Yongheng Yang, Frede Blaabjerg

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Resumé

This paper 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.
OriginalsprogEngelsk
TidsskriftI E E E Transactions on Circuits and Systems. Part 2: Express Briefs
Vol/bindPP
Udgave nummer99
Antal sider5
ISSN1549-7747
DOI
StatusE-pub ahead of print - jan. 2020

Emneord

  • Biological system modeling
  • Load flow
  • Mathematical model
  • Circuits and systems
  • Reactive power
  • Optimization
  • Admittance
  • Branch flow model
  • bus injection model
  • bijective function
  • convexification.

Citer dette

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abstract = "This paper 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 = "Biological system modeling, Load flow, Mathematical model, Circuits and systems, Reactive power, Optimization, Admittance, Branch flow model, bus injection model, bijective function, convexification., Branch flow model, Bus injection model, Bijective function, Convexification",
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A Condition of Equivalence Between Bus Injection and Branch Flow Models in Radial Networks. / Ding, Tao; Lu, Runzhao; Yang, Yongheng; Blaabjerg, Frede.

I: I E E E Transactions on Circuits and Systems. Part 2: Express Briefs, Bind PP, Nr. 99, 01.2020.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - A Condition of Equivalence Between Bus Injection and Branch Flow Models in Radial Networks

AU - Ding, Tao

AU - Lu, Runzhao

AU - Yang, Yongheng

AU - Blaabjerg, Frede

PY - 2020/1

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N2 - This paper 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.

AB - This paper 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.

KW - Biological system modeling

KW - Load flow

KW - Mathematical model

KW - Circuits and systems

KW - Reactive power

KW - Optimization

KW - Admittance

KW - Branch flow model

KW - bus injection model

KW - bijective function

KW - convexification.

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KW - Bus injection model

KW - Bijective function

KW - Convexification

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DO - 10.1109/TCSII.2019.2916208

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JO - I E E E Transactions on Circuits and Systems. Part 2: Express Briefs

JF - I E E E Transactions on Circuits and Systems. Part 2: Express Briefs

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