RT Journal Article
T1 Instantaneous Reactive Power Theory in the Geometric Algebra Framework
A1 Salmerón Revuelta, Patricio
A1 Flores Garrido, Juan Luis
A1 Gómez Galán, Juan Antonio
AB In this paper, a new approach for instantaneous reactive power analysis in the geometricalgebra (GA) environment is presented. The different formulations of the instantaneous reactivepower theory (IRPT) proposed, to date, have been developed in three-phase systems. There, aninstantaneous power variable, and two/three reactive power variables, all handled independently,were introduced. Thanks to GA, it is possible to carry out a global treatment where an instantaneouspower multivector is defined. Thus, in the same multidimensional entity all the power variablesare included. From the instantaneous power multivector, the instantaneous power current andthe instantaneous reactive current are determined. It should be noted that in this mathematicalframework there is no limitation on the number of phases, and the extension of the IRPT to theanalysis of multi-phase systems appears in a natural manner. In this study, a systematic approachwith the most relevant definitions and theorems corresponding to the proposed methodology hasbeen established. Two practical cases of five-phase and three-phase systems have been included toapply the new established formulation.
PB MDPI
SN 2076-3417 (electrónico)
YR 2023
FD 2023
LK https://hdl.handle.net/10272/22005
UL https://hdl.handle.net/10272/22005
LA eng
NO Salmerón, P.; Flores-Garrido, J.L.; Gómez-Galán, J.A. Instantaneous Reactive Power Theory in the Geometric Algebra Framework. Appl. Sci. 2023, 13, 1796. https://doi.org/ 10.3390/app13031796
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026