### 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., S
^{2} = P
^{2} + Q
^{2} + D
^{2} + ...) and therefore they do not interact with each other, the proposed model permits the interaction of active and re-active 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 language | English (US) |
---|---|

Pages (from-to) | 56 |

Number of pages | 1 |

Journal | IEEE Power Engineering Review |

Volume | 19 |

Issue number | 1 |

State | Published - 1999 |

### Fingerprint

### Keywords

- Definitions of powers
- Nonlinear circuits

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*IEEE Power Engineering Review*,

*19*(1), 56.

**Physical time domain representation of powers in linear and nonlinear electrical circuits.** / Cohen, J.; De Leon, Francisco; Hernandez, L.

Research output: Contribution to journal › Article

*IEEE Power Engineering Review*, vol. 19, no. 1, pp. 56.

}

TY - JOUR

T1 - Physical time domain representation of powers in linear and nonlinear electrical circuits

AU - Cohen, J.

AU - De Leon, Francisco

AU - Hernandez, L.

PY - 1999

Y1 - 1999

N2 - 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., S 2 = P 2 + Q 2 + D 2 + ...) and therefore they do not interact with each other, the proposed model permits the interaction of active and re-active 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.

AB - 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., S 2 = P 2 + Q 2 + D 2 + ...) and therefore they do not interact with each other, the proposed model permits the interaction of active and re-active 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.

KW - Definitions of powers

KW - Nonlinear circuits

UR - http://www.scopus.com/inward/record.url?scp=33747354151&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747354151&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33747354151

VL - 19

SP - 56

JO - IEEE Power Engineering Review

JF - IEEE Power Engineering Review

SN - 0272-1724

IS - 1

ER -