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A note on the electrical equivalent of the moment theory

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Title: A note on the electrical equivalent of the moment theory
Authors: Scarciotti, G
Astolfi, A
Item Type: Conference Paper
Abstract: In this short note the relation between the moments of a linear system and the phasors of an electric circuit is discussed. We show that the phasors are a special case of moments and we prove that the components of the solution of a Sylvester equation are the phasors of the currents of the system. We point out several directions in which the phasor theory can be extended using recent generalizations of the moment theory, which can benefit the analysis of circuits and power electronics.
Issue Date: 6-Jul-2016
Date of Acceptance: 28-Jan-2016
URI: http://hdl.handle.net/10044/1/29614
DOI: http://dx.doi.org/10.1109/ACC.2016.7526851
ISBN: 978-1-4673-8680-7
Publisher: IEEE
Start Page: 7462
End Page: 7465
Journal / Book Title: Proceedings of the 2016 American Control Conference
Copyright Statement: © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/G066477/1
Conference Name: 2016 American Control Conference (ACC)
Publication Status: Published
Start Date: 2016-07-06
Finish Date: 2016-07-08
Conference Place: Boston, MA, USA
Appears in Collections:Electrical and Electronic Engineering
Faculty of Engineering