Robust quadratic-based BFS power flow method for multi-phase distribution systems

Karar Mahmoud*, Naoto Yorino

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

32 Citations (Scopus)


This study presents an efficient power flow method for analysing distribution systems. The proposed method utilises efficient quadratic-based (QB) models for various components of distribution systems. The power flow problem is formulated and solved by a backward/forward sweep (BFS) algorithm. The proposed QBBFS method accommodates multi-phase laterals, different load types, capacitors, distribution transformers, and distributed generation. The advantageous feature of the proposed method is robust convergence characteristics against ill conditions, guaranteeing lower iteration numbers than the existing BFS methods. The proposed method is tested and validated on several distribution test systems. The accuracy is verified using OpenDSS. Comparisons are made with other commonly used BFS methods. The results confirm the effectiveness and robustness of the proposed QBBFS at different conditions.

Original languageEnglish
Pages (from-to)2240-2250
Number of pages11
JournalIET Generation, Transmission and Distribution
Issue number9
Publication statusPublished - 9 Jun 2016
MoE publication typeA1 Journal article-refereed


  • Electric transformers
  • Iterative methods


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