{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:58:49Z","timestamp":1760147929403,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2023,3,13]],"date-time":"2023-03-13T00:00:00Z","timestamp":1678665600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"FCT\u2013Funda\u00e7\u00e3o para a Ci\u00eancia e Tecnologia within the R&amp;D Units Project Scope","award":["UIDB\/00319\/2020","POCI-01-0247-FEDER-047220"],"award-info":[{"award-number":["UIDB\/00319\/2020","POCI-01-0247-FEDER-047220"]}]},{"name":"MEGASOLAR Project","award":["UIDB\/00319\/2020","POCI-01-0247-FEDER-047220"],"award-info":[{"award-number":["UIDB\/00319\/2020","POCI-01-0247-FEDER-047220"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electronics"],"abstract":"<jats:p>With special emphasis in recent years, an increase has been verified not only in demand but also in the price of electricity, arising the need to develop more reliable and efficient electrical energy conversion systems. In this context, emerges the utilization of the modular multilevel converter (MMC) based on submodules. The key to the MMC is modularity, which allows the converter to reach higher performance levels, improving the voltage and current output signals of the converter, in a compact solution. The modularity concept allows the increase of the operation voltage using submodules in series, and the increase of the operating current using submodules in parallel. Additionally, in the event of a submodule malfunction, the converter can be reconfigured and continue the operation, albeit at a lower power level. Due to its versatility, the MMC can be used in a variety of applications, such as HVDC power transmission systems, solid-state transformers, renewable energy interfaces, and more recently, railway power systems. In this context, this paper focuses on the development and experimental validation of a single-phase MMC based on the use of half-bridge submodules applied to a railway static converter, where the main focus lies on the AC side control. The control algorithms are fully described for a single-phase MMC reduced-scale prototype implemented (500 W, 230 V\u201350 Hz, 200 VDC), connecting two submodules in series in the upper arm, two submodules also in series in the lower arm, the respective driver and command circuits, sensing and signal conditioning circuits, as well as a digital control platform recurring to the DSP TMS320F28379D. Experimental results were obtained to validate each submodule individually, and, later, to verify the operation of the MMC with the set of four submodules.<\/jats:p>","DOI":"10.3390\/electronics12061367","type":"journal-article","created":{"date-parts":[[2023,3,13]],"date-time":"2023-03-13T04:35:41Z","timestamp":1678682141000},"page":"1367","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Development and Experimental Validation of a Reduced-Scale Single-Phase Modular Multilevel Converter Applied to a Railway Static Converter"],"prefix":"10.3390","volume":"12","author":[{"given":"Nuno","family":"Rodrigues","sequence":"first","affiliation":[{"name":"ALGORITMI Research Centre\/LASI, University of Minho, 4800-058 Guimar\u00e3es, Portugal"}]},{"given":"Jose","family":"Cunha","sequence":"additional","affiliation":[{"name":"ALGORITMI Research Centre\/LASI, University of Minho, 4800-058 Guimar\u00e3es, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6640-8955","authenticated-orcid":false,"given":"Vitor","family":"Monteiro","sequence":"additional","affiliation":[{"name":"ALGORITMI Research Centre\/LASI, University of Minho, 4800-058 Guimar\u00e3es, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9195-1239","authenticated-orcid":false,"given":"Joao L.","family":"Afonso","sequence":"additional","affiliation":[{"name":"ALGORITMI Research Centre\/LASI, University of Minho, 4800-058 Guimar\u00e3es, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1109\/MIAS.2013.2292645","article-title":"Power electronics Historical perspective and my experience","volume":"20","author":"Brusso","year":"2014","journal-title":"IEEE Ind. Appl. Mag."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1109\/MPEL.2018.2873496","article-title":"Modular Multilevel Converters: State of the Art and Future Progress","volume":"5","author":"Marquardt","year":"2018","journal-title":"IEEE Power Electron. Mag."},{"unstructured":"Baker, R.H., and Bannister, L.H. (1975). Electric Power Converter. (3,867,643), U.S. Patent.","key":"ref_3"},{"unstructured":"Rahid, M.H. (2018). Power Electronics Handbook, Elsevier. [4th ed.].","key":"ref_4"},{"unstructured":"Rodrigues, N., Cunha, J., Monteiro, V., and Afonso, J.L. (2022, January 2\u20133). Technical and Economical Evaluation of Modular Multilevel Converters for the Electrical Power Grid Interface. Proceedings of the ICEE International Conference on Energy and Environment: Bringing Together Engineering and Economics, Porto, Portugal.","key":"ref_5"},{"doi-asserted-by":"crossref","unstructured":"Du, S., Dekka, A., Wu, B., and Zargari, N. (2018). Modular Multilevel Converters Analysis, Control, and Applications, Wiley-IEEE Press.","key":"ref_6","DOI":"10.1002\/9781119367291"},{"doi-asserted-by":"crossref","unstructured":"Martinez-Rodrigo, F., Ramirez, D., Rey-Boue, A.B., de Pablo, S., and Herrero-De Lucas, L.C. (2017). Modular multilevel converters: Control and applications. Energies, 10.","key":"ref_7","DOI":"10.3390\/en10111709"},{"doi-asserted-by":"crossref","unstructured":"Teeuwsen, S.P. (2011, January 24\u201328). Modeling the trans bay cable project as voltage-sourced converter with modular multilevel converter design. Proceedings of the IEEE Power and Energy Society General Meeting, Detroit, MI, USA.","key":"ref_8","DOI":"10.1109\/PES.2011.6038903"},{"unstructured":"(2021, December 28). Trans Bay Cable. Available online: https:\/\/www.transbaycable.com\/.","key":"ref_9"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"2553","DOI":"10.1109\/TIE.2010.2049719","article-title":"Recent advances and industrial applications of multilevel converters","volume":"57","author":"Kouro","year":"2010","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1109\/MIAS.2012.2192231","article-title":"Powering the future of industry: High-power adjustable speed drive topologies","volume":"18","author":"Kouro","year":"2012","journal-title":"IEEE Ind. Appl. Mag."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2219","DOI":"10.1109\/TIE.2009.2032430","article-title":"A survey on neutral-point-clamped inverters","volume":"57","author":"Rodriguez","year":"2010","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2581","DOI":"10.1109\/TIE.2010.2043039","article-title":"Medium-voltage multilevel converters State of the art, challenges, and requirements in Industrial applications","volume":"57","author":"Holtz","year":"2010","journal-title":"IEEE Trans. Ind. Electron."},{"doi-asserted-by":"crossref","unstructured":"Ertay, M.M., Biswas, M.M., and Ginn, H.L. (2020, January 3\u20136). The performance of MMC-DSTATCOM under unbalanced and faulty grid conditions in low voltage microgrids. Proceedings of the 21st International Symposium on Electrical Apparatus and Technologies (SIELA), Bourgas, Bulgaria.","key":"ref_14","DOI":"10.1109\/SIELA49118.2020.9167091"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1534","DOI":"10.1109\/TPEL.2010.2085088","article-title":"A transformerless medium-voltage STATCOM topology based on extended modular multilevel converters","volume":"26","author":"Mohammadi","year":"2011","journal-title":"IEEE Trans Power Electron."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1150","DOI":"10.1109\/TPWRD.2015.2464320","article-title":"STATCOM Operation Scheme of the CDSM-MMC during a Pole-to-Pole DC Fault","volume":"31","author":"Yu","year":"2016","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"720","DOI":"10.1109\/TIA.2011.2182330","article-title":"Negative-sequence reactive-power control by a PWM STATCOM based on a modular multilevel cascade converter (MMCC-SDBC)","volume":"48","author":"Hagiwara","year":"2012","journal-title":"IEEE Trans. Ind. Appl."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1109\/TEC.2006.889624","article-title":"HVDC connection of offshore wind farms to the transmission system","volume":"22","author":"Bresesti","year":"2007","journal-title":"IEEE Trans. Energy Convers."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"901","DOI":"10.1109\/JESTPE.2015.2445735","article-title":"DC-Bus Voltage Range Extension in 1500 v Photovoltaic Inverters","volume":"3","author":"Serban","year":"2015","journal-title":"IEEE J. Emerg. Sel. Top. Power Electron."},{"doi-asserted-by":"crossref","unstructured":"Urakabe, T., Fujiwara, K., Kawakami, T., and Nishio, N. (2010, January 21\u201324). High efficiency power conditioner for photovoltaic power generation system. Proceedings of the 2010 International Power Electronics Conference (IPEC)\u2014ECCE Asia, Sapporo, Japan.","key":"ref_20","DOI":"10.1109\/IPEC.2010.5543123"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"854","DOI":"10.1109\/JESTPE.2019.2895465","article-title":"Three-Phase Isolated Multimodular Converter in Renewable Energy Distribution Systems","volume":"8","author":"Verdugo","year":"2020","journal-title":"IEEE J. Emerg. Sel. Top. Power Electron."},{"doi-asserted-by":"crossref","unstructured":"Tanta, M., Barros, L.A.M., Pinto, J.G., Martins, A.P., and Afonso, J.L. (2020, January 3). Modular Multilevel Converter in Electrified Railway Systems: Applications of Rail Static Frequency Converters and Rail Power Conditioners. Proceedings of the 2020 International Young Engineers Forum (YEF-ECE), Costa da Caparica, Portugal.","key":"ref_22","DOI":"10.1109\/YEF-ECE49388.2020.9171814"},{"unstructured":"Rodrigues, N., Cunha, J., Monteiro, V., and Afonso, J.L. (2022, January 14\u201317). Railway Auxiliary Power Supply System: A Modular Multilevel Converter Approach. Proceedings of the Research Arena TRA 2022, Lisbon, Portugal.","key":"ref_23"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"6031","DOI":"10.1109\/TPEL.2016.2616721","article-title":"Analysis and Comparison of Modular Railway Power Conditioner for High-Speed Railway Traction System","volume":"32","author":"Xu","year":"2017","journal-title":"IEEE Trans Power Electron."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1109\/JESTPE.2013.2277917","article-title":"Review of solid-state transformer technologies and their application in power distribution systems","volume":"1","author":"She","year":"2013","journal-title":"IEEE J. Emerg. Sel. Top. Power Electron."},{"doi-asserted-by":"crossref","unstructured":"Li, Y., Li, Y., Han, J., Tan, Y., Cai, Y., and Jiang, Y. (2016, January 7\u201310). A MMC-SST based power quality improvement method for the medium and high voltage distribution network. Proceedings of the EEEIC 2016\u2014International Conference on Environment and Electrical Engineering, Florence, Italy.","key":"ref_26","DOI":"10.1109\/EEEIC.2016.7555444"},{"doi-asserted-by":"crossref","unstructured":"Briz, F., L\u00f3pez, M., Rodr\u00edguez, A., Zapico, A., Arias, M., and D\u00edaz-Reigosa, D. (2015, January 22\u201324). MMC based SST. Proceedings of the 2015 IEEE International Conference on Industrial Informatics, (INDIN), Cambridge, UK.","key":"ref_27","DOI":"10.1109\/INDIN.2015.7281971"},{"doi-asserted-by":"crossref","unstructured":"Nami, A., Liang, J., Dijkhuizen, F., and Lundberg, P. (2015, January 8\u201310). Analysis of modular multilevel converters with DC short circuit fault blocking capability in bipolar HVDC transmission systems. Proceedings of the 17th European Conference on Power Electronics and Applications, EPE-ECCE Europe, Geneva, Switzerland.","key":"ref_28","DOI":"10.1109\/EPE.2015.7309391"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1394","DOI":"10.1109\/TPWRD.2016.2568240","article-title":"Analysis and enhanced control of hybrid-MMC-based HVDC systems during asymmetrical dc voltage faults","volume":"32","author":"Hu","year":"2017","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1109\/TPWRD.2016.2561929","article-title":"Enhanced flat-topped modulation for mmc control in hvdc transmission systems","volume":"32","author":"Li","year":"2017","journal-title":"IEEE Trans. Power Del."},{"unstructured":"Wijk, U., Lindgren, J., Winther, J., and Nyberg, S. (2013, January 19). Dolwin1\u2014Further Achievements in HVDC Offshore Connections. Proceedings of the EWEA Offshore, Frankfurt, Germany.","key":"ref_31"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"22","DOI":"10.17775\/CSEEJPES.2015.00016","article-title":"Basic topology and key devices of the five-terminal DC grid","volume":"1","author":"Tang","year":"2015","journal-title":"CSEE J. Power Energy Syst."},{"unstructured":"Barros, L., Tanta, M., Martins, A., Afonso, J.L., and Pinto, J. (2021). Sustainable Energy for Smart Cities, Springer International.","key":"ref_33"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1109\/OJIES.2021.3060791","article-title":"Modular Multilevel Converters: Recent Achievements and Challenges","volume":"2","author":"Perez","year":"2021","journal-title":"IEEE Open J. Ind. Electron. Soc."},{"unstructured":"Infineon Technologies (2013). Application Note AN 2013-05, Infineon Technologies.","key":"ref_35"}],"container-title":["Electronics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-9292\/12\/6\/1367\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T18:53:38Z","timestamp":1760122418000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-9292\/12\/6\/1367"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,3,13]]},"references-count":35,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2023,3]]}},"alternative-id":["electronics12061367"],"URL":"https:\/\/doi.org\/10.3390\/electronics12061367","relation":{},"ISSN":["2079-9292"],"issn-type":[{"type":"electronic","value":"2079-9292"}],"subject":[],"published":{"date-parts":[[2023,3,13]]}}}