Simple Time Averaging Current Quality Evaluation of a Single-Phase Multilevel PWM Inverter

Boris Reznikov, Milan Srndovic, Yakov L. Familiant, Gabriele Grandi, Alex Ruderman

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

This paper addresses theoretical calculation of a single-phase multilevel pulsewidth modulation (PWM) inverter current total harmonic distortion (THD). Analytical approach introduced in late 1980s for a two-level inverter is generalized for an arbitrary level count for a single-phase inverter. Although the obtained closed-form piecewise analytical solutions assume (infinitely) large ratio of switching and fundamental frequencies and pure inductive load, they are practically very accurate for the ratios of (apparent) switching and fundamental frequencies larger than 25-30 and inductance-dominated loads. Along with strict mathematical solutions, simple accurate Bessel function approximation and hyperbolic average trend one are suggested. The formulas clearly reveal a single-phase PWM inverter current THD dependence on modulation index for an arbitrary voltage level count and are easily modified to cover grid-connected cases.

Original languageEnglish
Article number7430289
Pages (from-to)3605-3615
Number of pages11
JournalIEEE Transactions on Industrial Electronics
Volume63
Issue number6
DOIs
Publication statusPublished - Jun 1 2016

Fingerprint

Harmonic distortion
Modulation
Bessel functions
Phase modulation
Inductance
Electric potential

Keywords

  • DC-AC converter
  • harmonic
  • multilevel converter
  • single-phase systems

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Science Applications

Cite this

Simple Time Averaging Current Quality Evaluation of a Single-Phase Multilevel PWM Inverter. / Reznikov, Boris; Srndovic, Milan; Familiant, Yakov L.; Grandi, Gabriele; Ruderman, Alex.

In: IEEE Transactions on Industrial Electronics, Vol. 63, No. 6, 7430289, 01.06.2016, p. 3605-3615.

Research output: Contribution to journalArticle

Reznikov, Boris ; Srndovic, Milan ; Familiant, Yakov L. ; Grandi, Gabriele ; Ruderman, Alex. / Simple Time Averaging Current Quality Evaluation of a Single-Phase Multilevel PWM Inverter. In: IEEE Transactions on Industrial Electronics. 2016 ; Vol. 63, No. 6. pp. 3605-3615.
@article{c8263880d6b640e99393e0664bbb650a,
title = "Simple Time Averaging Current Quality Evaluation of a Single-Phase Multilevel PWM Inverter",
abstract = "This paper addresses theoretical calculation of a single-phase multilevel pulsewidth modulation (PWM) inverter current total harmonic distortion (THD). Analytical approach introduced in late 1980s for a two-level inverter is generalized for an arbitrary level count for a single-phase inverter. Although the obtained closed-form piecewise analytical solutions assume (infinitely) large ratio of switching and fundamental frequencies and pure inductive load, they are practically very accurate for the ratios of (apparent) switching and fundamental frequencies larger than 25-30 and inductance-dominated loads. Along with strict mathematical solutions, simple accurate Bessel function approximation and hyperbolic average trend one are suggested. The formulas clearly reveal a single-phase PWM inverter current THD dependence on modulation index for an arbitrary voltage level count and are easily modified to cover grid-connected cases.",
keywords = "DC-AC converter, harmonic, multilevel converter, single-phase systems",
author = "Boris Reznikov and Milan Srndovic and Familiant, {Yakov L.} and Gabriele Grandi and Alex Ruderman",
year = "2016",
month = "6",
day = "1",
doi = "10.1109/TIE.2016.2541078",
language = "English",
volume = "63",
pages = "3605--3615",
journal = "IEEE Transactions on Industrial Electronics",
issn = "0278-0046",
publisher = "IEEE",
number = "6",

}

TY - JOUR

T1 - Simple Time Averaging Current Quality Evaluation of a Single-Phase Multilevel PWM Inverter

AU - Reznikov, Boris

AU - Srndovic, Milan

AU - Familiant, Yakov L.

AU - Grandi, Gabriele

AU - Ruderman, Alex

PY - 2016/6/1

Y1 - 2016/6/1

N2 - This paper addresses theoretical calculation of a single-phase multilevel pulsewidth modulation (PWM) inverter current total harmonic distortion (THD). Analytical approach introduced in late 1980s for a two-level inverter is generalized for an arbitrary level count for a single-phase inverter. Although the obtained closed-form piecewise analytical solutions assume (infinitely) large ratio of switching and fundamental frequencies and pure inductive load, they are practically very accurate for the ratios of (apparent) switching and fundamental frequencies larger than 25-30 and inductance-dominated loads. Along with strict mathematical solutions, simple accurate Bessel function approximation and hyperbolic average trend one are suggested. The formulas clearly reveal a single-phase PWM inverter current THD dependence on modulation index for an arbitrary voltage level count and are easily modified to cover grid-connected cases.

AB - This paper addresses theoretical calculation of a single-phase multilevel pulsewidth modulation (PWM) inverter current total harmonic distortion (THD). Analytical approach introduced in late 1980s for a two-level inverter is generalized for an arbitrary level count for a single-phase inverter. Although the obtained closed-form piecewise analytical solutions assume (infinitely) large ratio of switching and fundamental frequencies and pure inductive load, they are practically very accurate for the ratios of (apparent) switching and fundamental frequencies larger than 25-30 and inductance-dominated loads. Along with strict mathematical solutions, simple accurate Bessel function approximation and hyperbolic average trend one are suggested. The formulas clearly reveal a single-phase PWM inverter current THD dependence on modulation index for an arbitrary voltage level count and are easily modified to cover grid-connected cases.

KW - DC-AC converter

KW - harmonic

KW - multilevel converter

KW - single-phase systems

UR - http://www.scopus.com/inward/record.url?scp=84970021889&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84970021889&partnerID=8YFLogxK

U2 - 10.1109/TIE.2016.2541078

DO - 10.1109/TIE.2016.2541078

M3 - Article

VL - 63

SP - 3605

EP - 3615

JO - IEEE Transactions on Industrial Electronics

JF - IEEE Transactions on Industrial Electronics

SN - 0278-0046

IS - 6

M1 - 7430289

ER -