Multilevel Selective Harmonic Modulation by Duality*

We address the Selective Harmonic Modulation (SHM) problem in power electronic engineering, consisting designing a multilevel staircase control signal with some prescribed frequencies to improve performances of converter. In this work, SHM is addressed through an optimal methodology based on duality, which admissible controls are piece-wise constant functions, taking values only given finite set. To fulfill constraint, cornerstone our approach introduction special penalization cost functional, form affine approximation parabola. manner, we build having desired structure.