IEEE Journal of Emerging and Selected Topics in Power Electronics · 2015 · 233 citations · 46 references
EngineeringElectrical EngineeringCircuit TheoryPhase TransformationsPower ElectronicsAc-dc ConvertersConverter TopologiesDc-dc ConvertersModulationMultilevel ConvertersPulse-width ModulationCarrier-based ModulationCascaded H-bridge ConvertersHarmonic ReductionHarmonic Spectrum AnalysisHarmonicsModular Multilevel ConvertersModular Multilevel InvertersMultilevel Inverters
This paper discusses the generalized theory of phase-shifted carrier pulsewidth modulation (PSC-PWM) for cascaded H-bridge (CHB) converters and modular multilevel converters (MMCs), provides a reasonable classification of the PSC-PWM, and extends the possible phase-shift angles to full range. First, the PSC-PWM for CHB converter is classified into two categories by phase-shift pattern. In addition, by rigorous mathematical derivation, the impact law of the full-range phase-shift angles on harmonic minimization is obtained. And then, it is proved that the generalized theory is equally applicable to MMC, which also merges the former proposed PSC-PWM for MMCs into itself. Moreover, the harmonic analysis of the dead-time error voltage is discussed, which is found to have the same harmonic distribution as the ideal voltage, except for the emerging of odd-order harmonics. In summary, this generalized theory offers a general perspective of the PSC-PWM for CHB converter and MMC, and builds up a scientific and comprehensive understanding for researchers from both academia and industry. Finally, the analytical findings are sufficiently validated by simulation and experimental results.
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A Treatise on the Theory of Bessel Functions
H. T. Davis, G. N. Watson · National Mathematics Magazine · 1944 · 5.4K citations