Formulation of the Phasors of Apparent Harmonic Power: Application to Non-Sinusoidal Three-Phase Power Systems

Abstract

In this work, the expression of the phasor of apparent power of harmonic distortion is formulated in the time domain. Applying this phasor along with the phasor of apparent unbalance power allows us to obtain a new set of phasors that include all of the inefficient power components appearing in the transfer of energy in non-linear and unbalanced systems. In this manner, a new model of inefficient power in electrical systems is developed. For each voltage harmonic of order 'm' and current harmonic of order 'n', a phasor of harmonic apparent power is obtained. Accuracy in the determination of the total apparent power of a system depends on the number of harmonics considered. Each phasor of apparent harmonic power is formed from six mutually orthogonal parameters or components that are calculated from the harmonic voltages at the nodes of the network and the circulating harmonic currents. To demonstrate the validity of the proposed formulation, a four-wire non-linear system formed by two nodes is assessed.

Analysis of balanced, unbalanced, sinusoidal and nonsinusoidal three-phase systems through a Python developed tool

“…The calculation of power in balanced, unbalanced, sinusoidal and nonsinusoidal three-phase systems is a current study issue in the scientific community. In Blasco et al (2018), a phasor formulation is proposed for quantifying apparent harmonic power components, where the proposed set of phasors helps to analyze the inefficiencies of the electrical network. New vector expressions are reported in , which quantify power unbalances aiming to design and build passive unbalance power compensators.…”