Investigação da agregação temporal dos ângulos de fase das componentes harmônicas de tensão e corrente

Abstract

The growing connection of non-linear equipment has led to the intensification of harmonic levels in Electric Power Systems. In this way, studies have been carried out to improve the measurement of harmonic distortions. The methodologies and procedures that the Power Quality (PQ) meters must use to calculate harmonic distortions are established through technical standards. However, the current standards are incomplete since they establish only the methodology for measuring and aggregating voltage and current harmonic magnitudes, not establishing the measurement and aggregation of the respective phase angles. On the other hand, knowledge of phase angles is important because they are used in several studies, such as harmonic flow and sharing of harmonic responsibility. Therefore, methods have been proposed in the literature to perform the aggregation of harmonic angles. In addition, some PQ meters make this quantity available without standardizing or detailing the calculation method. Given this, the present work has as its main objective to investigate the methodologies and aggregation periods of the magnitudes and, mainly, phase angles of harmonic voltages and currents in order to observe the differences that can be found and the impacts that such results can bring to studies that use these quantities. For this purpose, laboratory measurements of voltage and current waveforms of loads with different harmonic contributions were carried out, in addition to the computational implementation of the standardized harmonic magnitude aggregation and the calculation of the phase angle aggregations based on methods proposed in the literature. The waveforms collected in the laboratory were used as input for the computational meter. The results have shown that different periods and methods for aggregating the phase angles may present different results, which can become significant depending on the characteristics and order of magnitude of the existing harmonic voltages and currents. Therefore, the conclusion is the need to establish methodologies through technical standards for measuring and quantifying the phase angles of the harmonic components to be applied in PQ meters and used in studies, given the importance that this subject represents for the PQ area.