Physical time domain representation of powers in linear and nonlinear electrical circuits

José Cohen, Francisco De Leon, Luis M. Hernández

Research output: Contribution to journalArticle

Abstract

This paper presents a time domain model for the representation of powers in linear and nonlinear electrical circuits. The model can account, in a physical (or engineering) sense, for "active and reactive powers" as functions of time. The model is based on the time domain decomposition of the instantaneous power p(t) into two components: p(t)=a(t)+ r(t). Where, a(t) represents the instantaneous power consumed by the (linear or nonlinear) load. The information regarding the store/restore process is contained in r(t). In contrast with the traditional frequency domain model in which powers are defined orthogonal (i.e. S2 = P2 + Q2 + D2 + ...) and therefore they do not interact with each other, the proposed model permits the interaction of active and reactive powers at every instant. Using the model of the paper we can obtain the instantaneous power needed for compensation of both, wave shape and power factor.

Original languageEnglish (US)
Pages (from-to)1240-1246
Number of pages7
JournalIEEE Transactions on Power Delivery
Volume14
Issue number4
DOIs
StatePublished - 1999

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Networks (circuits)
Reactive power
Decomposition

Keywords

  • Definitions of Powers
  • Nonlinear Circuits

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Physical time domain representation of powers in linear and nonlinear electrical circuits. / Cohen, José; De Leon, Francisco; Hernández, Luis M.

In: IEEE Transactions on Power Delivery, Vol. 14, No. 4, 1999, p. 1240-1246.

Research output: Contribution to journalArticle

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