Improved Switching Strategy for Selective Harmonic Elimination in DC-AC Signal Generation via Pulse-Width Modulation

We present an advanced design methodology for pulse-width-modulated (PWM) DC-AC signal generation. Using design methods based on the Walsh transform, AC sinusoidal signals can be approximated by suitable PWM signals. For different AC amplitudes, the switching instants of the PWM signals can be eff...

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Main Authors: Francisco Palacios-Quiñonero, Jesus Vicente-Rodrigo, Maria A. Molina-Hernández, Hamid Reza Karimi
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/870904
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author Francisco Palacios-Quiñonero
Jesus Vicente-Rodrigo
Maria A. Molina-Hernández
Hamid Reza Karimi
author_facet Francisco Palacios-Quiñonero
Jesus Vicente-Rodrigo
Maria A. Molina-Hernández
Hamid Reza Karimi
author_sort Francisco Palacios-Quiñonero
collection DOAJ
description We present an advanced design methodology for pulse-width-modulated (PWM) DC-AC signal generation. Using design methods based on the Walsh transform, AC sinusoidal signals can be approximated by suitable PWM signals. For different AC amplitudes, the switching instants of the PWM signals can be efficiently computed by using appropriate systems of explicit linear equations. However, the equation systems provided by conventional implementations of this approach are typically only valid for a restricted interval of AC amplitudes and, in general, a supervised implementation of several equation systems is necessary to cover the full AC amplitude range. Additionally, obtaining suitable equation systems for designs with a large number of switching instants requires solving a complex optimization problem. In defining the constitutive pulses of a PWM signal, a suitable partition of the time interval is used as a reference system. In the new methodology, pulses are chosen to be symmetric with respect to the partition points, and the switching times are specified by means of switching ratios with respect to the endpoint subintervals. This approach leads to particularly simple Walsh series representations, introduces a remarkable computational simplification, and achieves excellent results in reducing the harmonic distortion.
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issn 1085-3375
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language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-47964dadbcb04eb1b259d6a5a0d267cb2025-02-03T01:31:24ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/870904870904Improved Switching Strategy for Selective Harmonic Elimination in DC-AC Signal Generation via Pulse-Width ModulationFrancisco Palacios-Quiñonero0Jesus Vicente-Rodrigo1Maria A. Molina-Hernández2Hamid Reza Karimi3Departament of Applied Mathematics III, Universitat Politècnica de Catalunya (UPC), Avenue Bases de Manresa 61-73, 08242 Manresa, Barcelona, SpainDepartment of Electronic Systems Design and Programming, Universitat Politècnica de Catalunya (UPC), Avenue Bases de Manresa 61-73, 08242 Manresa, Barcelona, SpainDepartament of Applied Mathematics III, Universitat Politècnica de Catalunya (UPC), Avenue Bases de Manresa 61-73, 08242 Manresa, Barcelona, SpainDepartment of Engineering, Faculty of Engineering and Science, University of Agder (UiA), Grimstad 4898, NorwayWe present an advanced design methodology for pulse-width-modulated (PWM) DC-AC signal generation. Using design methods based on the Walsh transform, AC sinusoidal signals can be approximated by suitable PWM signals. For different AC amplitudes, the switching instants of the PWM signals can be efficiently computed by using appropriate systems of explicit linear equations. However, the equation systems provided by conventional implementations of this approach are typically only valid for a restricted interval of AC amplitudes and, in general, a supervised implementation of several equation systems is necessary to cover the full AC amplitude range. Additionally, obtaining suitable equation systems for designs with a large number of switching instants requires solving a complex optimization problem. In defining the constitutive pulses of a PWM signal, a suitable partition of the time interval is used as a reference system. In the new methodology, pulses are chosen to be symmetric with respect to the partition points, and the switching times are specified by means of switching ratios with respect to the endpoint subintervals. This approach leads to particularly simple Walsh series representations, introduces a remarkable computational simplification, and achieves excellent results in reducing the harmonic distortion.http://dx.doi.org/10.1155/2013/870904
spellingShingle Francisco Palacios-Quiñonero
Jesus Vicente-Rodrigo
Maria A. Molina-Hernández
Hamid Reza Karimi
Improved Switching Strategy for Selective Harmonic Elimination in DC-AC Signal Generation via Pulse-Width Modulation
Abstract and Applied Analysis
title Improved Switching Strategy for Selective Harmonic Elimination in DC-AC Signal Generation via Pulse-Width Modulation
title_full Improved Switching Strategy for Selective Harmonic Elimination in DC-AC Signal Generation via Pulse-Width Modulation
title_fullStr Improved Switching Strategy for Selective Harmonic Elimination in DC-AC Signal Generation via Pulse-Width Modulation
title_full_unstemmed Improved Switching Strategy for Selective Harmonic Elimination in DC-AC Signal Generation via Pulse-Width Modulation
title_short Improved Switching Strategy for Selective Harmonic Elimination in DC-AC Signal Generation via Pulse-Width Modulation
title_sort improved switching strategy for selective harmonic elimination in dc ac signal generation via pulse width modulation
url http://dx.doi.org/10.1155/2013/870904
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