Multilevel selective harmonic modulation by duality
Biccari U, Zuazua Iriondo E (2024)
Publication Language: English
Publication Status: Submitted
Publication Type: Unpublished / Preprint
Future Publication Type: Journal article
Publication year: 2024
URI: https://dcn.nat.fau.eu/wp-content/uploads/SHM_adjoint.pdf
DOI: 10.1016/j.ifacol.2022.08.081
Open Access Link: https://dcn.nat.fau.eu/wp-content/uploads/SHM_adjoint.pdf
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.
Authors with CRIS profile
Enrique Zuazua Iriondo
Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)
Involved external institutions
Spain (ES)How to cite
APA:
Biccari, U., & Zuazua Iriondo, E. (2024). Multilevel selective harmonic modulation by duality. (Unpublished, Submitted).
MLA:
Biccari, Umberto, and Enrique Zuazua Iriondo. Multilevel selective harmonic modulation by duality. Unpublished, Submitted. 2024.
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