Multilevel selective harmonic modulation by duality
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2022-07
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Elsevier B.V.
Resumen
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 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.
Palabras clave
Duality
Multilevel controls
Optimal control theory
Piece-wise affine penalization
Selective harmonic modulation
Multilevel controls
Optimal control theory
Piece-wise affine penalization
Selective harmonic modulation
Descripción
Ponencia 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 2022
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Biccari, & Zuazua. (2022). Multilevel selective harmonic modulation by duality. IFAC-PapersOnLine, 55(16), 56-61. https://doi.org/10.1016/J.IFACOL.2022.08.081