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Abstract The paper presents a novel five-phase cascade inverter control method based on the Haar wavelets transform. The inverter is built from two or three two level inverters in every phase. The instantaneous value of the output voltage of the cascaded inverter is composed as a synthesis of the selected Haar wavelets. An analytical system of determining the best possible set of Haar orthogonal wavelets is presented. On the basis of the applied Haar wavelets, the control signals of the inverter switches are calculated. The cascaded five-phase inverter with a star connected resistive-inductive load was tested during simulation tests. The results and discussion of main proprieties are presented.
Authors and affiliations J. Iwaszkiewicz and A. Muc Department of Ship Automation. Gdynia Maritime University. Morska St. 83, 81-225 Gdynia (Poland) Key Words Wavelets, Haar wavelet transform, wavelet waveforms synthesis, five-phase multilevel inverter. References [1] H.L. Do, A soft-switching DC/DC converter with high voltage gain. IEEE Trans. Power Electron. 2010, 25, 1193–1200. https://doi.org/10.1109/tpel.2009.2039879. [2] X. Hu, J. Wang, L. Li, Y. Li, A three-winding coupled-inductor DC–DC converter topology with high voltage gain and reduced switch stress. IEEE Trans. Power Electron. 2018, 33, 1453–1462. https://doi.org/10.1109/tpel.2017.2689806. [3] H. Ramirez, C. Restrepo, T. Konjedic, J. Calvente, A. Romero, C. Baier, R. Giral, Efficiency comparison of fuel-cell hybrid systems based on the noninverting buck-boost converter. IEEE Trans. Power Electron. 2017, 33, pp. 1237–1246. [4] M.D. Siddique, Low switching frequency based on asymmetrical multilevel inverter topology with reduced switch count. IEEE Access 2019, 7, pp. 86374–86383. [5] J. Iwaszkiewicz, J. Perz, Multilevel convertors for distributed power generation systems with DC voltage sources; ICREPQ: Saragossa, Spain, 2005. [6] N.A. Rahim, K. Chaniago, J. Selvaraj, Single-phase seven-level grid connected inverter for photovoltaic system. IEEE Trans. Ind. Electron. 2011, 58, 2435–2443. [7] J. Liu, X. Zhu, J. Zeng, A seven-level inverter with self-balancing and low voltage stress. IEEE J. Emerg. Sel. Top. Power Electron. 2018, 8, 685–696. [8] P. Roshankumar, R.S. Kaarthik, K. Gopakumar, J.I. Leon, A seventeen-level inverter formed by cascading flying capacitor and floating capacitor h-bridges. IEEE Trans. Power Electron. 2014, 30, 3471–3478. [9] E. Drives, A. Maather, P. Electronics, N. Ouest, A novel 31-level packed u cells converter. in proceedings of the 2011 International Conference on Power Engineering, Energy and Electrical Drives, Malaga, Spain, 11–13 May 2011. [10] J. Iwaszkiewicz , A. Muc, A. Bielecka, Polar voltage space vectors of the six-phase two-level VSI, Energies 2022, 15, 2763. https://doi.org/10.3390/en15082763. [11] M. Hartman, M. Hashad, J. Iwaszkiewicz, Developing inverter output voltage waveforms with the help of orthogonal space vectors, IEE Conference Power Electronics and Variable Speed Drives PEVD’2000, London, United Kingdom, 18–19 ix 2000. [12] M. Hashad, J. Iwaszkiewicz, A novel orthogonal-vectors-based topology of multilevel inverters. IEEE Trans. Ind. Electron. 2002, 49, pp. 868–874. [13] J. Iwaszkiewicz, A novel recurrent approach to the output voltage filtering of the inverter. ELECTR. POWER QUAL UTIL.Pol. Acad. Sci. 2003, 9, pp. 59–65. [14] A. Muc, J. Iwaszkiewicz, Active filtering of inverter output waveforms based on orthogonal space vector theory, Energies 2022, 7861, https://doi.org/10.3390 /en15217861. [15] j. Liu, K.W.E. Cheng, Y. Ye, A cascaded multilevel inverter based on switched capacitor for high-frequency AC power distribution system. IEEE Trans. Power Electron. 2014, 29, pp. 4219–4230. [16] J. Iwaszkiewicz , Mathematical models of power electronics multilevel converters-analysis and applications, Proceedings of Electrotechnical Institute, 227’06, Warsaw, Poland, ISSN-0032-6216.
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