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Moment-based discontinuous phasor transform and its application to the steady-state analysis of inverters and wireless power transfer systems

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Title: Moment-based discontinuous phasor transform and its application to the steady-state analysis of inverters and wireless power transfer systems
Authors: Scarciotti, G
Astolfi, A
Item Type: Journal Article
Abstract: Power electronic devices are inherently discontinuous systems. Square waves, produced by interconnected transistors, are commonly used to control inverters. This paper proposes a novel phasor transform, based on the theory of moments, which allows to analyze the steady-state behavior of discontinuous power electronic devices in closed-form, i.e. without approximations. In the first part of the paper it is shown that the phasors of an electric circuit are the moments on the imaginary axis of the linear system describing the circuit. Exploiting this observation, in the second part of the paper, we focus on the analysis of circuits powered by discontinuous sources. The new “discontinuous phasor transform” is defined and the v-i characteristics for inductors, capacitors and resistors are described in terms of this new phasor transform. Since the new quantities maintain their physical meaning, the instantaneous power and average power can be computed in the phasor domain. The analytic potential of the new tool is illustrated studying the steady-state response of power inverters and of wireless power transfer systems with non-ideal switches.
Issue Date: 1-Dec-2016
Date of Acceptance: 13-Jan-2016
URI: http://hdl.handle.net/10044/1/28870
DOI: 10.1109/TPEL.2016.2519382
ISSN: 0885-8993
Publisher: Institute of Electrical and Electronics Engineers
Start Page: 8448
End Page: 8460
Journal / Book Title: IEEE Transactions on Power Electronics
Volume: 31
Issue: 12
Replaces: 10044/1/29452
Copyright Statement: This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/G066477/1
Keywords: Science & Technology
Engineering, Electrical & Electronic
Discontinuous phasor transform
frequency-domain analysis
moment matching
switched systems
0906 Electrical and Electronic Engineering
Electrical & Electronic Engineering
Publication Status: Published
Online Publication Date: 2016-01-19
Appears in Collections:Electrical and Electronic Engineering
Faculty of Engineering