Mathematical-physical modeling for analytical calculation of multilevel pulse-width modulations

Abstract

Abstract Currently there is a great interest from the electronic physical point of view in reducing losses and optimizing the harmonic content of power converters. Especially of the multilevel ones that have great advantages since they can work with low commutations. That is why, this paper proposes and verifies a methodology for the development of equations for the analytical calculation of the effective value and the total harmonic distortion of step and Pulse width modulations type multilevel. The equations are obtained by analysis in the frequency domain using Fourier theory. A generalized mathematical expression is obtained as a function of the switching angles, which is theoretically verified by comparing the calculated with the expression and the MATLAB fast Fourier transform algorithm. These equations allow the modification of the upper limit of calculation of the series, a characteristic that can be used to determine a vector of commutation angles with the minimum value of harmonic distortion for a range of harmonics.