{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:21:26Z","timestamp":1760149286140,"version":"build-2065373602"},"reference-count":42,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,7,13]],"date-time":"2023-07-13T00:00:00Z","timestamp":1689206400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006595","name":"Unitatea Executiva Pentru Finantarea Invatamantului Superior a Cercetarii Dezvoltarii si Inovarii","doi-asserted-by":"publisher","award":["PN-III-P4-PCE-2020-0008"],"award-info":[{"award-number":["PN-III-P4-PCE-2020-0008"]}],"id":[{"id":"10.13039\/501100006595","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Inventions"],"abstract":"<jats:p>Renewable and distributed energy generation includes wind turbines, fuel cells, solar cells, and batteries. These distributed energy sources need special power converters in order to connect them to the grid and make the generated power available for public use. Solar energy is the most readily available energy source; hence, if utilized properly, it can power up both domestic and industrial loads. Solar cells produce DC power, and this should be converted to an AC source with the help of inverters. A multi-level inverter for an application is selected based on a trade-off between cost, complexity, losses, and total harmonic distortion (THD). A packed U-cell (PUC) topology is composed of power switches and voltage sources connected in a series-parallel fashion. This basic unit can be extended to a greater number of output voltage levels. The significance of this design is the reduced use of power switches, gate drivers, protection circuits, and capacitors. The converter presented in this paper is a 31-level topology switched by a variable switching frequency-based model predictive controller that helps in achieving optimal output with reduced harmonics to a great extent. The gate driver circuit is also optimized in terms of power consumption and size complexity. A comparison of the 9-level and the 31-level PUC inverters is carried out to study the impact of the number of levels on the total harmonic distortion. The simulation results depict that the total harmonic distortion (THD) for a nominal modulation index of 0.8 is 11.54% and 3.27% for the 9-level multi-level inverter (MLI) and the 31-level modified packed U-cell multi-level inverter (MPUC-MLI), respectively. The reduction in THD is attributed to the increased number of steps in the output when using the model predictive controller.<\/jats:p>","DOI":"10.3390\/inventions8040090","type":"journal-article","created":{"date-parts":[[2023,7,14]],"date-time":"2023-07-14T00:49:30Z","timestamp":1689295770000},"page":"90","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Performance Analysis of Harmonic-Reduced Modified PUC Multi-Level Inverter Based on an MPC Algorithm"],"prefix":"10.3390","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1943-6835","authenticated-orcid":false,"given":"Umapathi","family":"Krishnamoorthy","sequence":"first","affiliation":[{"name":"Department of Biomedical Engineering, KIT-Kalaignarkarunanidhi Institute of Technology, Coimbatore 641402, India"}]},{"given":"Ushaa","family":"Pitchaikani","sequence":"additional","affiliation":[{"name":"Department of Electrical and Electronics Engineering, M. Kumararsamy College of Engineering, Karur 639113, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6899-8442","authenticated-orcid":false,"given":"Eugen","family":"Rusu","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Faculty of Engineering, \u2018Dunarea de Jos\u2019 University of Galati, 47 Domneasca Street, 800008 Galati, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6294-5144","authenticated-orcid":false,"given":"Hady H.","family":"Fayek","sequence":"additional","affiliation":[{"name":"Electromechanics Engineering Department, Heliopolis University, Salam, 11785, Egypt"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1109\/MIE.2008.923519","article-title":"The age of multilevel converters arrives","volume":"2","author":"Franquelo","year":"2008","journal-title":"IEEE Ind. Electron. Mag."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1394","DOI":"10.1109\/TPEL.2006.880265","article-title":"Harmonic Voltage Reduction Using a Series Active Filter Under Different Load Conditions","volume":"21","author":"Ribeiro","year":"2006","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"2581","DOI":"10.1109\/TIE.2010.2043039","article-title":"Medium-Voltage Multilevel Converters\u2014State of the Art, Challenges, and Requirements in Industrial Applications","volume":"57","author":"Holtz","year":"2010","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_4","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_5","doi-asserted-by":"crossref","first-page":"1294","DOI":"10.1109\/TIE.2010.2050412","article-title":"Packed U Cells Multilevel Converter Topology: Theoretical Study and Experimental Validation","volume":"58","author":"Ounejjar","year":"2010","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Abu-Rub, H., Mariusz, M., and Al-Haddad, K. (2014). Power Electronics for Renewable Energy Systems, Transportation and Industrial Applications, John Wiley & Sons.","DOI":"10.1002\/9781118755525"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Mohamad, A.S., Mariun, N., Sulaiman, N., and Radzi, M.A.M. (2014, January 20\u201323). A new cascaded multilevel inverter topology with minimum number of conducting switches. Proceedings of the 2014 IEEE Innovative Smart Grid Technologies\u2014Asia (ISGT ASIA), Kuala Lumpur, Malaysia.","DOI":"10.1109\/ISGT-Asia.2014.6873783"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Vahedi, H., Kanaan, H.Y., and Al-Haddad, K. (2015, January 9\u201312). PUC converter review: Topology, control and applications. Proceedings of the IECON 2015\u201441st Annual Conference of the IEEE Industrial Electronics Society, Yokohama, Japan.","DOI":"10.1109\/IECON.2015.7392774"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"3471","DOI":"10.1109\/TPEL.2014.2342882","article-title":"Seventeen-Level Inverter Formed by Cascading Flying Capacitor and Floating Capacitor H-Bridges","volume":"30","author":"Kumar","year":"2015","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"935","DOI":"10.1109\/TIE.2016.2625238","article-title":"Model Predictive Control for Power Converters and Drives: Advances and Trends","volume":"64","author":"Vazquez","year":"2017","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1109\/TII.2015.2491260","article-title":"Sensor-Less Five-Level Packed U-Cell (PUC5) Inverter Operating in Stand-Alone and Grid-Connected Modes","volume":"12","author":"Vahedi","year":"2016","journal-title":"IEEE Trans. Ind. Inform."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1377","DOI":"10.1109\/JESTPE.2017.2699918","article-title":"Single Stage Solar PV Fed Brushless DC Motor Driven Water Pump","volume":"5","author":"Kumar","year":"2017","journal-title":"IEEE J. Emerg. Sel. Top. Power Electron."},{"key":"ref_13","unstructured":"Vahedi, H., and Al-Haddad, K. (2018). Method and System for Operating a Multilevel Inverter. (US9923484B2), U.S. Patent."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Narendrababu, A., Yalla, N., and Agarwal, P. (January, January ). A modified T-type single phase five-level inverter with reduced switch voltage stress. Proceedings of the 2018 International Conference on Power, Instrumentation, Control and Computing (PICC), Thrissur, India.","DOI":"10.1109\/PICC.2018.8384775"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Sulake, N.R., Venkata, A.K.D., and Choppavarapu, S.B. (2018). FPGA Implementation of a Three-Level Boost Converter-fed Seven-Level DC-Link Cascade H-Bridge inverter for Photovoltaic Applications. Electronics, 7.","DOI":"10.3390\/electronics7110282"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Kang, J.-W., Hyun, S.-W., Ha, J.-O., and Won, C.-Y. (2018). Improved Neutral-Point Voltage-Shifting Strategy for Power Balancing in Cascaded NPC\/H-Bridge Inverter. Electronics, 7.","DOI":"10.3390\/electronics7090167"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Lee, S., and Kim, J. (2018). Optimized Modeling and Control Strategy of the Single-Phase Photovoltaic Grid-Connected Cascaded H-bridge Multilevel Inverter. Electronics, 7.","DOI":"10.3390\/electronics7090207"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"110422","DOI":"10.1016\/j.rser.2020.110422","article-title":"Model predictive control of microgrids\u2014An overview","volume":"136","author":"Hu","year":"2021","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_19","unstructured":"Shyam, D., Premkumar, K., Sivamani, D., Nazarali, A., Narendiran, S., and Ramkumar, R. (2022, January 2\u20134). PUC Optimal Switching Strategies for Renewable Applications in Single Phase Inverter. Proceedings of the IEEE 9th Uttar Pradesh Section International Conference on Electrical, Electronics and Computer Engineering (UPCON), Prayagraj, India."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"813","DOI":"10.1016\/j.egyr.2022.05.188","article-title":"Model predictive control of Packed U-Cell inverter for microgrid applications","volume":"8","author":"Iqbal","year":"2022","journal-title":"Energy Rep."},{"key":"ref_21","unstructured":"Abarzadeh, M., Peyghami, S., Al-Haddad, K., Weise, N., Chang, L., and Blaabjerg, F. (2023, March 01). Reliability and Performance Improvement of PUC Converter Using a New Single-Carrier Sensor less PWM Method with Pseudo Reference Functions. Electrical and Computer Engineering Faculty Research and Publications. (681) 2021. Available online: https:\/\/epublications.marquette.edu\/electric_fac\/681."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Phukan, H., Debela, T., and Singh, J. (2022). A modified seven-level cross-connected PUC boost multilevel inverter with reduced cost factor and device count. Int. J. Emerg. Electr. Power Syst.","DOI":"10.1515\/ijeeps-2022-0141"},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Upreti, S., Singh, B., and Kumar, N. (2022). Harmonics Minimization in PUC Type Solar Multilevel Converter with Multicarrier Switching Schemes. IETE J. Res.","DOI":"10.1080\/03772063.2022.2081625"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Junior, S.C.S., Jacobina, C., and Fabricio, E.L.L. (2021, January 10\u201314). A Single-Phase 35-levels Cascaded PUC Multilevel Inverter Fed by a Single DC-Source. Proceedings of the IEEE Energy Conversion Congress and Exposition (ECCE), Vancouver, BC, Canada.","DOI":"10.1109\/ECCE47101.2021.9595834"},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Muthukuri, N.K., and Mopidevi, S. (2022, January 25\u201326). Optimal Controller Design of PUC-15 MLI Topology for Smart Grid Applications with Reduced Power Components. Proceedings of the International Conference on Smart Technologies and Systems for Next Generation Computing (ICSTSN), Virtual.","DOI":"10.1109\/ICSTSN53084.2022.9761358"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"02002","DOI":"10.1051\/e3sconf\/202235402002","article-title":"Control of Reduced Switches Count and Classical Multilevel Inverters: A Comparison","volume":"354","author":"Owona","year":"2022","journal-title":"E3S Web Conf."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.14445\/23488379\/IJEEE-V9I12P101","article-title":"Multilevel Inverter Design with Reduced Switches & THD Using Fuzzy Logic Controller","volume":"9","author":"Venkedesh","year":"2022","journal-title":"Int. J. Electr. Electron. Eng."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1016\/j.ifacol.2022.07.390","article-title":"Control Design of a Seven-Level Packed U Cell Inverter","volume":"55","author":"Bellah","year":"2022","journal-title":"IFAC-PapersOnLine"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Khan, F.A., Shees, M.M., Alsharekh, M.F., Alyahya, S., Saleem, F., Baghel, V., Sarwar, A., Islam, M., and Khan, S. (2021). Open-Circuit Fault Detection in a Multilevel Inverter Using Sub-Band Wavelet Energy. Electronics, 11.","DOI":"10.3390\/electronics11010123"},{"key":"ref_30","first-page":"0110203197","article-title":"Predictive Switching Control for Multilevel Inverter using CNN-LSTM for Voltage Regulation","volume":"11","author":"Kumar","year":"2022","journal-title":"ADBU J. Eng. Technol. (AJET)"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"37214","DOI":"10.1109\/ACCESS.2020.2974773","article-title":"Binary Hybrid Multilevel Inverter-Based Grid Integrated Solar Energy Conversion System with Damped SOGI Control","volume":"8","author":"Mukundan","year":"2020","journal-title":"IEEE Access"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Salem, M., Richelli, A., Yahya, K., Hamidi, M.N., Ang, T.-Z., and Alhamrouni, I. (2022). A Comprehensive Review on Multilevel Inverters for Grid-Tied System Applications. Energies, 15.","DOI":"10.3390\/en15176315"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"764","DOI":"10.1049\/pel2.12266","article-title":"A simplified sliding-mode control method for multi-level transformerless DVR","volume":"15","author":"Komurcugil","year":"2022","journal-title":"IET Power Electron."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"101","DOI":"10.26650\/electrica.2019.18053","article-title":"Design and Modeling of Solar Photovoltaic System using Seven-Level Packed U-Cell (PUC) Multilevel Inverter and Zeta Converterfor Off-Grid Application in India","volume":"19","author":"Azeem","year":"2019","journal-title":"Electrica"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"909","DOI":"10.32604\/iasc.2022.022907","article-title":"ANN Based Reduced Switch Multilevel Inverter in UPQC for Power Quality Improvement","volume":"33","author":"Jeevanantham","year":"2022","journal-title":"Intell. Autom. Soft Comput."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Fahad, M., Tariq, M., Faizan, M., Ali, A., Sarwar, A., Tafti, H.D., Ahmad, S., and Mohamed, A.S.N. (2021). A Dual Source Switched-Capacitor Multilevel Inverter with Reduced Device Count. Electronics, 11.","DOI":"10.3390\/electronics11010067"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TIM.2022.3144235","article-title":"Open-Circuit Fault Detection and Isolation Method for Five-Level PUC Inverter Based on the Wavelet Packet Transform of the Radiated Magnetic Field","volume":"71","author":"Abari","year":"2022","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Kaymanesh, A., and Chandra, A. (2021, January 10\u201314). Computationally Efficient MPC Technique for PUC-Based Inverters Without Weighting Factors. Proceedings of the 2021 IEEE Industry Applications Society Annual Meeting (IAS), Vancouver, BC, Canada.","DOI":"10.1109\/IAS48185.2021.9677195"},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Mohamed-Seghir, M., Krama, A., Refaat, S.S., Trabelsi, M., and Abu-Rub, H. (2020). Artificial Intelligence-Based Weighting Factor Autotuning for Model Predictive Control of Grid-Tied Packed U-Cell Inverter. Energies, 13.","DOI":"10.3390\/en13123107"},{"key":"ref_40","doi-asserted-by":"crossref","unstructured":"Khawaja, R., Sebaaly, F., and Kanaan, H.Y. (2020, January 26\u201328). Design of a 7-Level Single-Stage\/Phase PUC Grid-Connected PV Inverter with FS-MPC Control. Proceedings of the 2020 IEEE International Conference on Industrial Technology (ICIT), Buenos Aires, Argentina.","DOI":"10.1109\/ICIT45562.2020.9067338"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"2512","DOI":"10.1049\/iet-rpg.2019.0028","article-title":"Energy management and power quality enhancement in grid-tied single-phase PV system using modified PUC converter","volume":"13","author":"Sahli","year":"2019","journal-title":"IET Renew. Power Gener."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"17910","DOI":"10.1016\/j.ijhydene.2017.02.020","article-title":"An original observer design for reduced sensor control of Packed U Cells based renewable energy system","volume":"42","author":"Trabelsi","year":"2017","journal-title":"Int. J. Hydrogen Energy"}],"container-title":["Inventions"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2411-5134\/8\/4\/90\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:12:01Z","timestamp":1760127121000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2411-5134\/8\/4\/90"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,13]]},"references-count":42,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2023,8]]}},"alternative-id":["inventions8040090"],"URL":"https:\/\/doi.org\/10.3390\/inventions8040090","relation":{},"ISSN":["2411-5134"],"issn-type":[{"type":"electronic","value":"2411-5134"}],"subject":[],"published":{"date-parts":[[2023,7,13]]}}}