Multilevel Selective Harmonic Modulation by Duality
Abstract
We address the Selective Harmonic Modulation (SHM) problem in power electronic engineering, consisting in designing a multilevel staircase control signal with some prescribed frequencies to improve the performances of a converter. In this work, SHM is addressed through an optimal control methodology based on duality, in which the admissible controls are piece-wise constant functions, taking values only in a given finite set. To fulfill this constraint, the cornerstone of our approach is the introduction of a special penalization in the cost functional, in the form of a piece-wise affine approximation of a parabola. In this manner, we build optimal multilevel controls having the desired staircase structure.
Cite
@article{arxiv.2112.10443,
title = {Multilevel Selective Harmonic Modulation by Duality},
author = {Umberto Biccari and Enrique Zuazua},
journal= {arXiv preprint arXiv:2112.10443},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2103.10266