Effective electric power quantities and the sequence reference frame: A comparison study

More recently, unbalanced and distorted electric three phase quantities have been analyzed in the sequence reference frame, successively, by two elegant decomposition techniques referred to Girgis and Langella. Some comparisons regarding the matrices structures of the two methods have been drawn out in the Langella work. The latter also, makes it possible to evaluate the quantities defined in the IEEE Standard 1459-2010 by means of harmonic sequence components. Some previous author's works have focused on the Girgis method in which they analyzed the harmonic resonance phenomena and evaluated the quantities defined in the IEEE Standard 1459-2010 in the sequence reference frame. In the present work, the authors follow up with the Langella method and they present more explicit sequence effective electric quantities based on the two methods. Some substantial comparisons between the aforementioned works are presented as well.