RT Journal Article T1 (2N+1) Selective Harmonic Elimination-PWM for Modular Multilevel Converters: A Generalized Formulation and A Circulating Current Control Method A1 Pérez-Basante, Angel A1 Ceballos, Salvador A1 Konstantinou, Georgios A1 Pou, Josep A1 Andreu, Jon A1 De Alegría, Iñigo Martínez AB The performance of modular multilevel converters (MMCs) in medium-voltage applications, where the number of required submodules is not high, can be improved utilizing low switching frequency modulations such as (2N+1) selective harmonic elimination-pulse width modulation (SHE-PWM), which provides tight control of lower order harmonics and low switching losses. This paper proposes a calculation method, which is based on a novel formulation, to solve the SHE-PWM problem. In particular, MMCs with (2N+1) phase output voltage levels are considered, obtaining a (2N+1) SHE-PWM waveform. This method utilizes a unique system of equations that is valid for any possible waveform. Therefore, it is able to calculate simultaneously, without predefined waveforms, both the switching patterns and the associated firing angles that solve the (2N+1) SHE-PWM problem. Consequently, the search process is simplified and optimized. Furthermore, this paper also proposes a circulating current control technique, which can be applied along with (2N+1) SHE-PWM without disturbing the phase output voltage. Simulation results and experimental tests obtained with a single-phase laboratory prototype prove the validity of the novel (2N+1) SHE-PWM implementation method and the proposed circulating current control technique. SN 0885-8993 YR 2018 FD 2018-01 LA eng NO Pérez-Basante , A , Ceballos , S , Konstantinou , G , Pou , J , Andreu , J & De Alegría , I M 2018 , ' (2N+1) Selective Harmonic Elimination-PWM for Modular Multilevel Converters : A Generalized Formulation and A Circulating Current Control Method ' , IEEE Transactions on Power Electronics , vol. 33 , no. 1 , 7849220 , pp. 802-818 . https://doi.org/10.1109/TPEL.2017.2666847 NO Publisher Copyright: © 1986-2012 IEEE. NO Manuscript received October 10, 2016; revised January 1, 2017; accepted February 1, 2017. Date of publication February 9, 2017; date of current version October 6, 2017. This paper was presented in part at the 18th European Conference on Power Electronics and Applications (EPE-ECCE), Karlsruhe, Germany, September 6–September 8, 2016 [1]. This work has been supported in part by the Research and Education Unit UFI11/16 and the Zabalduz Program of the UPV/EHU, in part by the Basque Government within the Research program ELKARTEK under projects HVDCLINK2 (KK-2016/00038-HVDCL-2), HVDCL-3, and KT4TRANS (KK-2015/00047 and KK-2016/00061), and within the funds for research groups of the Basque university system IT978-16 and in part by the Ministerio de Economia y Competitividad of Spain within the project DPI2014-53685-C2-2-R and FEDER funds. Recommended for publication by Associate Editor M. Hagiwara. DS TECNALIA Publications RD 28 jul 2024