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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 harmonics. 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 , the switching angles can be chosen to produce the desired fundamental 1 = (4 dc) while making the fifth and seventh harmonics identically zero.