Spectral Analysis of a Class of DC-AC PWM Inverters by Kapteyn Series

The pulsewidth modulation (PWM) technique for single-phase bipolar switching inverters has been revisited and analyzed on the basis of the isomorphism between the implicit equation of the unknown PWM switching instants, when the input to the modulator is a sinusoidal signal of period multiple of the...

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Bibliographic Details
Published inIEEE transactions on power electronics Vol. 25; no. 4; pp. 839 - 849
Main Authors Fedele, G., Frascino, D.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.04.2010
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Bessel functions
Calculus
Electronics
Harmonic distortion
Integral equations
Inverters
Kapteyn series
Kepler's equation
Mathematical analysis
Modulation
Modulators
Planets
Polynomials
Pulse duration modulation
Pulse inverters
Pulse width modulation
Pulse width modulation inverters
pulsewidth modulation (PWM)
Signal analysis
Spectra
Spectral analysis
Sun
Switching
Total harmonic distortion
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Summary:The pulsewidth modulation (PWM) technique for single-phase bipolar switching inverters has been revisited and analyzed on the basis of the isomorphism between the implicit equation of the unknown PWM switching instants, when the input to the modulator is a sinusoidal signal of period multiple of the carrier period, and the Kepler's equation governing the trajectory of a planet around the sun. The solution of the Kepler's problem allows to obtain the switching instants of the PWM in terms of Kapteyn series or integral forms and to find an explicit expression of the harmonic content. An expression of the weighted total harmonic distortion is also obtained in terms of Bernoulli polynomials.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0885-8993
1941-0107
DOI:10.1109/TPEL.2009.2032287