TY - BOOK
T1 - On a comparison of Newton-Raphson solvers for power flow problems
AU - Sereeter, B.
AU - Vuik, C.
AU - Witteveen, C.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
M3 - Report
T3 - Reports of the Delft Institute of Applied Mathematics
BT - On a comparison of Newton-Raphson solvers for power flow problems
PB - Delft University of Technology
CY - Delft
ER -