Next Article in Journal
Dynamic Modeling and Simulation of Deep Geothermal Electric Submersible Pumping Systems
Next Article in Special Issue
Performance Assessment of Black Box Capacity Forecasting for Multi-Market Trade Application
Previous Article in Journal
A Mobile Battery Swapping Service for Electric Vehicles Based on a Battery Swapping Van
Article Menu
Issue 10 (October) cover image

Export Article

Open AccessArticle
Energies 2017, 10(10), 1658; doi:10.3390/en10101658

Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks

Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands
Author to whom correspondence should be addressed.
Received: 25 August 2017 / Revised: 26 September 2017 / Accepted: 12 October 2017 / Published: 20 October 2017
(This article belongs to the Special Issue Selected Papers from International Workshop of Energy-Open)
View Full-Text   |   Download PDF [1117 KB, uploaded 22 October 2017]   |  


Two mismatch functions (power or current) and three coordinates (polar, Cartesian and complex form) result in six versions of the Newton–Raphson method for the solution of power flow problems. In this paper, five new versions of the Newton power flow method developed for single-phase problems in our previous paper are extended to three-phase power flow problems. Mathematical models of the load, load connection, transformer, and distributed generation (DG) are presented. A three-phase power flow formulation is described for both power and current mismatch functions. Extended versions of the Newton power flow method are compared with the backward-forward sweep-based algorithm. Furthermore, the convergence behavior for different loading conditions, R / X ratios, and load models, is investigated by numerical experiments on balanced and unbalanced distribution networks. On the basis of these experiments, we conclude that two versions using the current mismatch function in polar and Cartesian coordinates perform the best for both balanced and unbalanced distribution networks. View Full-Text
Keywords: power flow analysis; Newton–Raphson method; three-phase; unbalanced; distribution networks power flow analysis; Newton–Raphson method; three-phase; unbalanced; distribution networks

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Sereeter, B.; Vuik, K.; Witteveen, C. Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks. Energies 2017, 10, 1658.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Energies EISSN 1996-1073 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top