On a comparison of Newton–Raphson solvers for power flow problems

Baljinnyam Sereeter, Cornelis Vuik, Cees Witteveen

Research output: Contribution to journalArticleScientificpeer-review

15 Citations (Scopus)
4 Downloads (Pure)


A general framework is given for applying the Newton–Raphson method to solve power flow problems, using power and current-mismatch functions in polar, Cartesian coordinates and complex form. These two mismatch functions and three coordinates, result in six possible ways to apply the Newton–Raphson method for the solution of power flow problems. We present a theoretical framework to analyze these variants for load (PQ)buses and generator (PV)buses. Furthermore, we compare newly developed versions in this paper with existing variants of the Newton power flow method. The convergence behavior of all methods is investigated by numerical experiments on transmission and distribution networks. We conclude that variants using the polar current-mismatch and Cartesian current-mismatch functions that are developed in this paper, performed the best result for both distribution and transmission networks.

Original languageEnglish
Pages (from-to)157-169
Number of pages13
JournalJournal of Computational and Applied Mathematics
Publication statusPublished - 2019


  • Cartesian
  • Current mismatch
  • Newton–Raphson method
  • Polar
  • Power flow analysis
  • Power mismatch


Dive into the research topics of 'On a comparison of Newton–Raphson solvers for power flow problems'. Together they form a unique fingerprint.

Cite this