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Energies 2018, 11(2), 458; https://doi.org/10.3390/en11020458

Selective Harmonic Elimination in a Wide Modulation Range Using Modified Newton–Raphson and Pattern Generation Methods for a Multilevel Inverter

1
Department of Electrical Engineering, Qatar University, Doha Post Box No. 2713, Qatar
2
Department of Electrical Engineering, Aligarh Muslim University, Aligarh 202002, India
3
Department of Energy Technology, Aalborg University, 6700 Esbjerg, Denmark
*
Author to whom correspondence should be addressed.
Received: 19 January 2018 / Revised: 5 February 2018 / Accepted: 11 February 2018 / Published: 22 February 2018
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Abstract

Considering the aim of having low switching losses, especially in medium-voltage and high-power converters, the pre-programmed pulse width modulation technique is very useful because the generated harmonic content can be known in advance and optimized. Among the different low switching frequency techniques, the Selective Harmonics Elimination (SHE) modulation method is most suitable because of its direct control over the harmonic spectrum. This paper proposes a method for obtaining multiple solutions for selectively eliminating specific harmonics in a wide range of modulation indices by using modified Newton–Raphson (NR) and pattern generation techniques. The different pattern generation and synthesis approach provide more degrees of freedom and a way to operate the converter in a wide range of modulation. The modified Newton–Raphson technique is not complex and ensures fast convergence on a solution. Moreover, multiple solutions are obtained by keeping a very small increase in the modulation index. In the previous methods, solutions were not obtainable at all modulation indices. In this paper, only exact solutions to the low-order harmonics elimination for Cascaded H-bridge inverter are reported for all modulation indices. Analytical and simulation results prove the robustness and correctness of the technique proposed in this paper. View Full-Text
Keywords: Modified Newton–Raphson(M-NR); selective harmonics elimination; multi-level inverter; pulse width modulation; transcendental equations; modulation index Modified Newton–Raphson(M-NR); selective harmonics elimination; multi-level inverter; pulse width modulation; transcendental equations; modulation index
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Al-Hitmi, M.; Ahmad, S.; Iqbal, A.; Padmanaban, S.; Ashraf, I. Selective Harmonic Elimination in a Wide Modulation Range Using Modified Newton–Raphson and Pattern Generation Methods for a Multilevel Inverter. Energies 2018, 11, 458.

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