On the comparison of different convexified power flow models in radial network

Anh Phuong Ngo, Christan Thomas, Konstantinos Oikonomou, Hieu Nguyen, Duong Nguyen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we review two convex models for power flow in radial distribution network, namely the bus injection and branch flow models. We start with the fundamental equations of voltage drop, power losses, and line power flows between two buses in a distribution line represented by an impedance. These AC circuit analysis equations contain trigonometric functions such as sine and cosine. We show that we can obtain a new set of equivalent AC circuit analysis without trigonometric functions by defining auxiliary variables and/or using linear combination of original equations. Additionally, by treating squared values of voltages and currents we obtain linear form of AC circuit equation whereas the relation of sine and cosine functions can be equivalently embedded in rotated cones. Consequently, we obtain the bus injection and branch flow models, which are theoretically equivalent. Their numerical performance, however, could be different, due to the numerical ill-conditions that may arise when constructing rotated cones.

Original languageEnglish (US)
Title of host publication2022 IEEE Kansas Power and Energy Conference, KPEC 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781665465915
DOIs
StatePublished - 2022
Externally publishedYes
Event3rd IEEE Kansas Power and Energy Conference, KPEC 2022 - Manhattan, United States
Duration: Apr 25 2022Apr 26 2022

Publication series

Name2022 IEEE Kansas Power and Energy Conference, KPEC 2022

Conference

Conference3rd IEEE Kansas Power and Energy Conference, KPEC 2022
Country/TerritoryUnited States
CityManhattan
Period4/25/224/26/22

Keywords

  • power flow analysis
  • radial distribution network
  • second-order conic programming (SOCP)

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Artificial Intelligence
  • Energy Engineering and Power Technology
  • Renewable Energy, Sustainability and the Environment
  • Electrical and Electronic Engineering

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