NDLI: Geometric Algebra: A Powerful Tool for Representing Power Under Nonsinusoidal Conditions

Content Provider	IEEE Xplore Digital Library
Author	Menti, A. Zacharias, T. Milias-Argitis, J.
Copyright Year	2004
Abstract	Geometric algebra is used in this paper for a rigorous mathematical treatment of power in single-phase circuits under nonsinusoidal conditions, as complex algebra for sinusoidal conditions. This framework clearly displays the multidimensional nature of power, which is represented by a multivector. The power multivector with its three attributes (magnitude, direction and sense) provides the means to encode all the necessary information in a single entity. This property, in conjunction with the fact that there is a one-to-one correspondence between the terms of this multivector, the instantaneous and the apparent power equation, distinguishes it as a highly efficient mathematical tool. In this way one can successfully describe power phenomena and handle practical problems (e.g., power factor improvement). Two simple examples show some of these features. In short, the power multivector under nonsinusoidal situations can be perceived as the generalization of the complex power under sinusoidal situations
Sponsorship	IEEE Circuits and Systems Society
Starting Page	601
Ending Page	609
Page Count	9
File Size	355410
File Format	PDF
ISSN	15498328
Volume Number	54
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Algebra Equations Circuits Multidimensional systems Reactive power Vectors Voltage Displays Impedance power multivector Apparent power geometric algebra nonsinusoidal waveforms
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Hardware and Architecture

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