Analysis of voltage and current for multicarrier based multilevel inverter

This paper presents a mathematical analysis of level shifted multicarrier based naturally sampled pulse width modulation (PWM) of multilevel inverter. The switching waveforms are realized using double Fourier integral solution and solved using Bessel´s function of first kind. The analysis is generalized and can yield output of any level of the cascaded H-bridge multilevel inverter. The mathematical equations are obtained for the multilevel inverter output voltage. The analytical results are obtained for the multilevel inverter current. It is shown through the frequency response plot that the ripple magnitude of the current decreases with both increase in number of levels and carrier frequency. The mathematical computations and frequency spectrum are obtained through the MATLAB software to verify the results.