Control of a multilevel converter using resultant theory

In this work, a method is given to compute the switching angles in a multilevel converter to produce the required fundamental voltage while at the same. time cancel out specified higher order harmonies. Specifically, a complete analysis is given for a seven-level converter (three dc sources), where it is shown that for a range of the modulation index m(I), the switching angles can be chosen to produce. the desired fundamental V-1 = m(I)(s4V(dc)/pi) while making the fifth and seventh harmonics identically zero.