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

Journal article (2019)

Authors

B. Sereeter Numerical Analysis - EEMCS
Cornelis Vuik Numerical Analysis - EEMCS
C. Witteveen Algorithmics - EEMCS
Research Group
Numerical Analysis (EEMCS) (TU Delft)
Copyright: © 2019 B. Sereeter, Cornelis Vuik, C. Witteveen
DOI
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https://doi.org/10.1016/j.cam.2019.04.007
Power flow analysis Cartesian Polar Current mismatch Newton–Raphson method Power mismatch
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Published Date

2019

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Numerical Analysis

Abstract

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.