Multilevel selective harmonic modulation by duality

dc.contributor.authorBiccari, Umberto
dc.contributor.authorZuazua, Enrique
dc.date.accessioned2025-10-14T12:41:15Z
dc.date.available2025-10-14T12:41:15Z
dc.date.issued2022-07
dc.date.updated2025-10-14T12:41:15Z
dc.descriptionPonencia presentada en el 18 IFAC Workshop on Control Applications of Optimization CAO, celebrado en Gif sur Yvette, France, entre el 18 y 22 de julio de 2022es
dc.description.abstractWe 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 piecewise 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.en
dc.description.sponsorshipEuropean Research Council under the European Union's Horizon 2020 research and innovation programme (grant agreement 694126-DyCon). The work of U.B. and E.Z. is supported by the Grant PID2020-112617GBC22 KILEARN of MINECO (Spain), by the Elkartek grant KK-2020/00091 CONVADP of the Basque government and by the Air Force Office of Scientific Research under Award FA9550-18-1-0242. The work of E.Z. is funded by the Alexander von Humboldt-Professorship program, the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement 765579-ConFlex and the Transregio 154 Project ''Mathematical Modelling, Simulation and Optimization Using the Example of Gas Networks'', project C08, of the German DFGen
dc.identifier.citationBiccari, & Zuazua. (2022). Multilevel selective harmonic modulation by duality. IFAC-PapersOnLine, 55(16), 56-61. https://doi.org/10.1016/J.IFACOL.2022.08.081
dc.identifier.doi10.1016/J.IFACOL.2022.08.081
dc.identifier.eissn2405-8963
dc.identifier.urihttps://hdl.handle.net/20.500.14454/3956
dc.language.isoeng
dc.publisherElsevier B.V.
dc.rights@ 2022 the authors
dc.subject.otherDuality
dc.subject.otherMultilevel controls
dc.subject.otherOptimal control theory
dc.subject.otherPiece-wise affine penalization
dc.subject.otherSelective harmonic modulation
dc.titleMultilevel selective harmonic modulation by dualityen
dc.typeconference paper
dcterms.accessRightsopen access
oaire.citation.endPage61
oaire.citation.issue16
oaire.citation.startPage56
oaire.citation.titleIFAC-PapersOnLine
oaire.citation.volume55
oaire.licenseConditionhttps://creativecommons.org/licenses/by-nc-nd/4.0/
oaire.versionVoR
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