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Time-Domain Minimization of Voltage and Current Total Harmonic Distortion for a Single-Phase Multilevel Inverter with a Staircase Modulation

Author

Listed:
  • Milan Srndovic

    (Department of Electrical, Electronic, and Information Engineering, University of Bologna, Viale Risorgimento 2, Bologna 40136, Italy)

  • Yakov L. Familiant

    (Power Electronics Research Lab, Nazarbayev University, Kabanbay Batyr Avenue 57, Astana 010000, Kazakhstan)

  • Gabriele Grandi

    (Department of Electrical, Electronic, and Information Engineering, University of Bologna, Viale Risorgimento 2, Bologna 40136, Italy)

  • Alex Ruderman

    (Power Electronics Research Lab, Nazarbayev University, Kabanbay Batyr Avenue 57, Astana 010000, Kazakhstan)

Abstract

This paper presents the optimization technique for minimizing the voltage and current total harmonic distortion ( THD ) in a single-phase multilevel inverter controlled by staircase modulation. The previously reported research generally considered the optimal THD problem in the frequency domain, taking into account a limited harmonic number. The novelty of the suggested approach is that voltage and current minimal THD problems are being formulated in the time domain as constrained optimization ones, making it possible to determine the optimal switching angles. In this way, all switching harmonics can be considered. The target function expression becomes very compact and existing efficient solvers for this kind of optimization problems can find a solution in negligible processor time. Current THD is understood as voltage frequency weighted THD that assumes pure inductive load—this approximation is practically accurate for inductively dominant RL-loads. In this study, the optimal switching angles and respective minimal THD values were obtained for different inverter level counts and overall fundamental voltage magnitude (modulation index) dynamic range. Developments are easily modified to cover multilevel inverter grid-connected applications. The results have been verified by experimental tests.

Suggested Citation

  • Milan Srndovic & Yakov L. Familiant & Gabriele Grandi & Alex Ruderman, 2016. "Time-Domain Minimization of Voltage and Current Total Harmonic Distortion for a Single-Phase Multilevel Inverter with a Staircase Modulation," Energies, MDPI, vol. 9(10), pages 1-14, October.
    • Handle: RePEc:gam:jeners:v:9:y:2016:i:10:p:815-:d:80313
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    References listed on IDEAS

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    1. Chiasson, John & Tolbert, Leon & McKenzie, Keith & Du, Zhong, 2003. "Real-time computer control of a multilevel converter using the mathematical theory of resultants," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 63(3), pages 197-208.
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    Cited by:

    1. Tehzeeb-ul Hassan & Rabeh Abbassi & Houssem Jerbi & Kashif Mehmood & Muhammad Faizan Tahir & Khalid Mehmood Cheema & Rajvikram Madurai Elavarasan & Farman Ali & Irfan Ahmad Khan, 2020. "A Novel Algorithm for MPPT of an Isolated PV System Using Push Pull Converter with Fuzzy Logic Controller," Energies, MDPI, vol. 13(15), pages 1-20, August.
    2. Yitao Liu & Shan Yin & Xuewei Pan & Huaizhi Wang & Guibin Wang & Jianchun Peng, 2017. "Effects of Nonlinearity in Input Filter on the Dynamic Behavior of an Interleaved Boost PFC Converter," Energies, MDPI, vol. 10(10), pages 1-14, October.
    3. Radek Martinek & Jaroslav Rzidky & Rene Jaros & Petr Bilik & Martina Ladrova, 2019. "Least Mean Squares and Recursive Least Squares Algorithms for Total Harmonic Distortion Reduction Using Shunt Active Power Filter Control," Energies, MDPI, vol. 12(8), pages 1-26, April.
    4. Angel Arranz-Gimon & Angel Zorita-Lamadrid & Daniel Morinigo-Sotelo & Oscar Duque-Perez, 2021. "A Review of Total Harmonic Distortion Factors for the Measurement of Harmonic and Interharmonic Pollution in Modern Power Systems," Energies, MDPI, vol. 14(20), pages 1-38, October.

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