Determining the Reactive Power from the Active Power in Single Phase Systems Using the Extended Newton-Phaselet Method

Abstract

This paper presents the performance evaluation of the extended Newton-phaselet method for determining the reactive power using only the active power in single-phase systems. The presented method is structured to use one value of the active power $P$ to calculate one value of the apparent power $\vert \bar{S}\vert $ , while it employs six phaselet frames to calculate a value of the angle $\theta$ (the phase of $\bar{S}$ ). Calculated $\vert \bar{S}\vert $ and $\theta$ are used to determine a value of the active power $P_{C}$ , which is compared to $P$ in order to adjust $\vert \bar{S}\vert $ for the next Newton iteration. Furthermore, calculated values of $P_{C},\vert \bar{S}\vert $ , and $\theta$ at each iteration are employed to determine a value of the reactive power $Q_{C}$ at that iteration. The extended Newton-phaselet method is implemented for performance evaluation using the measured active power supplied to different $1\phi$ loads. Performance results of the developed method demonstrate simple implementation and high accuracy with minor sensitivity to load types or power factor status (lagging or leading).