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 versions of the Newton-Raphson method for the solution of power flow problems. We present a theoretical framework to compare these variants for PQ-buses and PV-buses. Furthermore, the convergence behavior is investigated by numerical experiments. This enables us to compare new versions with existing versions of the Newton power flow methods. We conclude that the polar current-mismatch and Cartesian current-mismatch versions that are developed in this paper, performed the best result for both distribution and transmission networks.
Original languageEnglish
Place of PublicationDelft
PublisherDelft University of Technology
Number of pages20
StatePublished - 2017

Publication series

NameReports of the Delft Institute of Applied Mathematics
Volume17-07
ISSN (Print)1389-6520

ID: 28433719