Harmonic analysis of grid connected three phase direct matrix converter using 2-D fourier integral

Power quality issues of switch mode converters are becoming a matter of concern due to the rapid growth of renewable energy resources. Voltages and currents of power network system are commonly affected by harmonics produced by power converters. This paper presents formulation of analytical equations to determine the input current and output voltage harmonics of three phase to three phase matrix converter (MC) based on 2-D Fourier integral analysis. The general trend to find out harmonic spectrum is to do FFT on simulated waveforms which do not provide any insight about the formation of harmonic contents. Proper harmonic characterisation of output voltages and input currents becomes possible once the switching function matrix is expressed by its high frequency contents besides the low frequency terms. Results obtained from the analytical expressions are validated by comparing to the numerical results (FFT) obtained from MATLAB simulation as well as hardware experiment. The result shows very good agreement with simulation.