Lossy DistFlow Formulation for Single and Multiphase Radial Feeders

Eran Schweitzer, Shammya Saha, Anna Scaglione, Nathan G. Johnson, Daniel Arnold

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


A line loss approximation via parametrization is developed to improve performance of the simplified Baran and Wu DistFlow method, while maintaining a linear set of equations. The approach is evaluated on thousands of training feeders that are created to determine a numerically optimal setting for the parameterization. Feeders are generated using recent advances in synthetic network test case generation. The problem is formulated with the same structure as the simplified DistFlow, yet is more accurate given that line losses are explicitly expressed and quantified. The single-phase methodology is extended to multiphase systems by formulating matrix-vector equations that maintain an analogy to their single-phase counterpart. Results with approximated line losses are shown to also improve the accuracy of multiphase distribution system calculations.

Original languageEnglish (US)
Article number8907467
Pages (from-to)1758-1768
Number of pages11
JournalIEEE Transactions on Power Systems
Issue number3
StatePublished - May 2020


  • distribution system
  • loss approximation
  • power flow analysis
  • radial feeders
  • synthetic test cases

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


Dive into the research topics of 'Lossy DistFlow Formulation for Single and Multiphase Radial Feeders'. Together they form a unique fingerprint.

Cite this