Multilevel Selective Harmonic Modulation by Duality

Biccari U, Zuazua E (2022)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2022

Journal

IFAC-PapersOnLine International Federation of Automatic Control

Publisher: ELSEVIER

City/Town: AMSTERDAM

Pages Range: 56-61

Conference Proceedings Title: IFAC PAPERSONLINE

Event location: Gif sur Yvette, FRANCE

Journal Issue: 18th IFAC Workshop on Control Applications of Optimization CAO 2022: Gif sur Yvette, France, 18–22 July 2022

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)

Additional Organisation(s)

Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

University of Deusto / Universidad de Deusto ES Spain (ES)

How to cite

APA:

Biccari, U., & Zuazua, E. (2022). Multilevel Selective Harmonic Modulation by Duality. IFAC-PapersOnLine, 18th IFAC Workshop on Control Applications of Optimization CAO 2022: Gif sur Yvette, France, 18–22 July 2022, 56-61. https://doi.org/10.1016/j.ifacol.2022.08.081

MLA:

Biccari, Umberto, and Enrique Zuazua. "Multilevel Selective Harmonic Modulation by Duality." IFAC-PapersOnLine 18th IFAC Workshop on Control Applications of Optimization CAO 2022: Gif sur Yvette, France, 18–22 July 2022 (2022): 56-61.

BibTeX: Download