MATHEMATICAL FOUNDATIONS OF THE INSTANTANEOUS POWER CONCEPTS - A GEOMETRICAL APPROACH

In this paper a mathematical formalism, based on a geometrical approac h, is proposed for defining the concepts of instantaneous active and i nstantaneous reactive power. Use is made of the dot product and the cr oss product for three-dimensional vectors. The relationship with the a nalysis proposed by Akagi et al. and by Ferrero and co-authors is disc ussed in detail. In particular it is shown that the proposed formalism is well suited to deal with three-phase currents and voltages with ze ro-sequence components.