Enhanced power flow solution in complex plane

Abstract

In this paper an enhanced power flow algorithm in complex plane is proposed. The power flow models in complex plane is naturally developed in Cartesian coordinates, thus most of the constraints equations can be written as quadratic functions. Consequently, the Taylor series expansion stops in the third term and the exact nonlinearity of the quadratic complex power flow equations is retained while the remaining functions are dealt through the Newton-Raphson method. Minor changes in the codes are required to transform the Newton-Raphson method into the enhanced power flow approach in complex plane. The new algorithm exihibits either a superior behavior in well- or ill-conditioned networks. The features and advantages of the proposed algorithm are illustrated through a small example and case studies carried out either on the well- or ill-conditioned fashion of the IEEE-14, −30, −57 and −118 bus and the Brazilian Southern-equivalent of 1916-buses, termed as SIN-1916.