Abstract

In a matrix converter, the frequencies of output voltage harmonics are related to the frequencies of input, output, and carrier signals, which are independent of each other. This nature may cause an inaccurate harmonic spectrum when using conventional analytical methods, such as fast Fourier transform (FFT) and the double Fourier analysis. Based on triple Fourier series, this paper proposes a method to pinpoint harmonic components of output voltages of an ultra sparse matrix converter (USMC) under space vector pulse width modulation (SVPWM) strategy. Amplitudes and frequencies of harmonic components are determined precisely for the first time, and the distribution pattern of harmonics can be observed directly from the analytical results. The conclusions drawn in this paper may contribute to the analysis of harmonic characteristics and serve as a reference for the harmonic suppression of USMC. Besides, the proposed method is also applicable to other types of matrix converters.

Highlights

  • The ultra-sparse matrix converter (USMC) evolved from the conventional matrix converter (CMC)and inherited many merits from CMC including compact structure without intermediate storage, sinusoidal input and output current, adjustable input power factor, etc

  • It is very important to analyze the harmonic components in the output waveform of USMC, which lays the foundation for the suppression of the harmonics and improves the theory concerning matrix converter harmonic analysis

  • If using double Fourier series analysis, only two of these frequencies are considered at most, resulting in inaccurate spectral analytic results. In view of this problem, some scholars have tried to use triple Fourier series to analyze the harmonic of output waveform for CMC under “AV method” [13,14]

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Summary

Introduction

The ultra-sparse matrix converter (USMC) evolved from the conventional matrix converter (CMC). When the frequencies of input, output and carrier signals are special, the results of FFT analysis are not accurate Another commonly used method is calculating the analytical formula with Fourier series. If using double Fourier series analysis, only two of these frequencies are considered at most, resulting in inaccurate spectral analytic results In view of this problem, some scholars have tried to use triple Fourier series to analyze the harmonic of output waveform for CMC under “AV method” [13,14]. In this paper, based on the characteristics of SVPWM and triple Fourier series, an output voltage harmonic calculation method for USMC is proposed, which can obtain an accurate harmonic spectrum and identify the relations between the frequencies of harmonic components and the frequencies of input, output and carrier signals. The harmonic distribution pattern and the main harmonic components of output voltage of USMC are analyzed and summarized according to the analytical results

Triple Fourier Series
Harmonic Calculation of Output Voltage of USMC Under SVPWM Strategy
Harmonic Calculation of Output Voltage
Spectrum Analysis of Harmonic Characteristics of Output Voltage of USMC
The ofamplitude
The and mm in in output phase voltage
Comparative Analysis with FFT
Analytical Results
Conclusions
Full Text
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