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General Formula for SHE Problem Solution

Author

Listed:
  • Concettina Buccella

    (Department of Information Engineering, University of L’Aquila, Computer Science and Mathematics and DigiPower srl, 67100 L’Aquila, Italy
    These authors equally contributed to this work.)

  • Maria Gabriella Cimoroni

    (Department of Information Engineering, University of L’Aquila, Computer Science and Mathematics and DigiPower srl, 67100 L’Aquila, Italy
    These authors equally contributed to this work.)

  • Carlo Cecati

    (Department of Information Engineering, University of L’Aquila, Computer Science and Mathematics and DigiPower srl, 67100 L’Aquila, Italy
    These authors equally contributed to this work.)

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.

Suggested Citation

  • Concettina Buccella & Maria Gabriella Cimoroni & Carlo Cecati, 2020. "General Formula for SHE Problem Solution," Energies, MDPI, vol. 13(14), pages 1-16, July.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:14:p:3740-:d:387164
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    References listed on IDEAS

    as
    1. Md Mubashwar Hasan & A. Abu-Siada & Syed M. Islam & S. M. Muyeen, 2018. "A Novel Concept for Three-Phase Cascaded Multilevel Inverter Topologies," Energies, MDPI, vol. 11(2), pages 1-16, January.
    2. Ming Liu & Zetao Li & Xiaoliu Yang, 2020. "Tracking Control of Modular Multilevel Converter Based on Linear Matrix Inequality without Coordinate Transformation," Energies, MDPI, vol. 13(8), pages 1-15, April.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Patricio Gaisse & Javier Muñoz & Ariel Villalón & Rodrigo Aliaga, 2020. "Improved Predictive Control for an Asymmetric Multilevel Converter for Photovoltaic Energy," Sustainability, MDPI, vol. 12(15), pages 1-22, August.

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