General Formula for SHE Problem Solution

Concettina Buccella, Maria Gabriella Cimoroni and Carlo Cecati
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Concettina Buccella: Department of Information Engineering, University of L’Aquila, Computer Science and Mathematics and DigiPower srl, 67100 L’Aquila, Italy
Maria Gabriella Cimoroni: Department of Information Engineering, University of L’Aquila, Computer Science and Mathematics and DigiPower srl, 67100 L’Aquila, Italy
Carlo Cecati: Department of Information Engineering, University of L’Aquila, Computer Science and Mathematics and DigiPower srl, 67100 L’Aquila, Italy

Energies, 2020, vol. 13, issue 14, 1-16

Abstract: This paper considers cascaded H-bridges multilevel inverters with 2 n dc sources, n integer, n > 0 and proposes a new general formula to compute those 2 n switching angles capable of eliminating n + 1 harmonics and their respective multiples from the output voltage waveform. The proposed procedure uses only scalar products and avoids linear systems, therefore it has a low computational cost. Computed angles do not depend on modulation index, moreover, voltage sources vary linearly. A mathematical proof is given to validate the formula. Three-phase implementations eliminate or mitigate a significant amount of low order harmonics, thus resulting in very low total harmonic distortion. The proposed formula has been experimentally validated using a single-phase nine-level cascaded H-bridge inverter prototype, resulting in a Total Harmonic Distortion (THD) of 5.59%; the first not-mitigated harmonic is the 17th.

Keywords: cascaded H-bridges (CHB) multilevel inverters (MLI); Selective Harmonics Elimination (SHE); Selective Harmonics Mitigation (SHM); Total Harmonic Distortion (THD) (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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