Discussions on the instantaneous reactive power theory terms in the general case based on the symmetric components

A. Kouzou, M. A. Ismeil, H. Abu Rub, Sk Moin Ahmed, M. O. Mahmoudi, M. S. Boucherit, R. Kennel

Research output: Contribution to journalArticle


This paper deals with the presentation of different terms of the powers presented in the Instantaneous Reactive Power Theory (IRPT) in the general case of a generic power system voltage. This presentation is based on the use of the symmetric components in the E. Clarke stationary frame, where the instantaneous real active power, the instantaneous imaginary reactive power and the instantaneous zero sequence power are divided into their DC components and AC components function of the symmetric components. The contributions of these terms in the transfer of the energy from the power supply to the load in four wire system are explained, hence, a good choice of the power to be compensated using shunt active power filter can be obtained. Finally, simulation results are presented under unbalanced and distorted generic power system voltages, where different terms of the instantaneous reactive power theory are clarified and presented based on symmetrical components.

Original languageEnglish
Article number743
Pages (from-to)1499-1506
Number of pages8
JournalRenewable Energy and Power Quality Journal
Issue number10
Publication statusPublished - Apr 2012


ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment
  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

Cite this