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Analytical Formulas for Phase Voltage RMS Squared and THD in PWM Multiphase Systems

Dordevic, O, Jones, M and Levi, E (2014) Analytical Formulas for Phase Voltage RMS Squared and THD in PWM Multiphase Systems. IEEE Transactions on Power Electronics, 30 (3). pp. 1645-1656. ISSN 0885-8993

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The analysis and assessment of the pulsewidth modulation (PWM) techniques is commonly based on the comparison of the total harmonic distortion (THD) results. THD is usually calculated by application of the Fourier transformation and by taking a limited number of harmonics into the consideration. In this paper, derivation of analytical formulas for the phase voltage THD is presented. The considered system is a symmetrical multiphase starconnected load, supplied from a multilevel pulsewidth-modulated voltage-source inverter (VSI, three-phase case is also covered). The solution is based on the Parseval’s theorem, which links frequency spectrum and time domain through the average power (i.e., rootmean- square (rms) squared value) of the signal. The assumption throughout the derivations is that the ratio of the switching to fundamental frequency is high. Derivations are based on the integration of the power of the PWM signal in a single switching period over the fundamental period of the signal. Only ideal sinusoidal reference voltages are analyzed, and no injection of any type is considered. Formulas for phase voltage THD for any number of phases are derived for two- and three-level cases, for themost commonly used carrier-based methods. Comparison of the analytically obtained curves with simulation and experimental results shows a high level of agreement and validates the analysis and derivations.

Item Type: Article
Additional Information: (c) 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, 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 components of this work in other works.
Uncontrolled Keywords: 0906 Electrical And Electronic Engineering
Subjects: T Technology > TK Electrical engineering. Electronics. Nuclear engineering
Divisions: Electronics & Electrical Engineering (merged with Engineering 10 Aug 20)
Publisher: IEEE
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Date Deposited: 13 Nov 2015 14:23
Last Modified: 04 Sep 2021 14:08
DOI or ID number: 10.1109/TPEL.2014.2316912
URI: https://researchonline.ljmu.ac.uk/id/eprint/1713

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