Half cycle pairs method for harmonic analysis of cycloconverter voltage waveform

In this paper, a new scheme is proposed to determine the harmonic components of a single-phase cycloconveter. The scheme computes the Fourier coefficients of the resultant positive and negative half cycle pairs of the output voltage waveform and adds them as one by the principle of superposition to determine the Fourier coefficients of the complete output voltage waveform. This scheme gives the straight computation of harmonic magnitude and angle without having to use Bessel functions, numerical techniques, and look-up tables. The scheme presented is a broad scheme that can be easily extended to the other types of the single-phase and three-phase ac-ac controllers including the on-off control and phase angle control. The presented method is theoretically proved using MATLAB and PSPICE software.