Measurement of power components in balanced and unbalanced three-phase systems under nonsinusoidal operating conditions by using IEEE standard 1459–2010 and Fourier analysis

Power components definitions for balanced and unbalanced three-phase systems with nonsinusoidal situations are included in IEEE standard 1459-2010 (revision of IEEE standard 1459-2000). The standard is meant to provide definitions for active, reactive and apparent powers as well as the power factor. The power definitions proposed by the IEEE standard require harmonics, but does not specify which method to use to obtain the harmonic content of the signal data frame. The balanced and unbalanced three-phase power components definitions under nonsinusoidal conditions contained in the IEEE standard 14592010 are calculated based on processing the voltage and current signals by the reconstruction of the original signals (voltage and current) using Fourier analysis. The proposed technique is based on processing the sampled voltage and current waveforms to get all harmonic contents of these signals which will be used in obtaining and analyzing the data according to the IEEE standard 1459-2010 which used for measurement of electric power quantities. The accurateness of the proposed method is demonstrated via simulations considerably reduces the complexity in calculation, can be easy applicable and the accuracy of the results are maintained.