{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T12:36:53Z","timestamp":1769171813897,"version":"3.49.0"},"reference-count":45,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2022,1,27]],"date-time":"2022-01-27T00:00:00Z","timestamp":1643241600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electronics"],"abstract":"<jats:p>Model predictive current control (MPCC) has recently become a powerful advanced control technology in industrial drives. However, current prediction in MPCC requires a high number of voltage vectors (VVs) synthesizable by the converter, thus being computationally demanding. Accordingly, in this paper, a computationally efficient MPCC of synchronous reluctance motors (SynRMs) that reduces the number of VVs used for prediction is proposed. By making the most of the simplicity of hysteresis current control (HCC) and integrating it with the MPCC scheme, only four out of eight predictions are needed to determine the best VV, dramatically reducing algorithm computations. The experimental results show that the execution time can be shortened by 20% while maintaining the highest control efficiency.<\/jats:p>","DOI":"10.3390\/electronics11030379","type":"journal-article","created":{"date-parts":[[2022,1,27]],"date-time":"2022-01-27T21:59:55Z","timestamp":1643320795000},"page":"379","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A Computationally Efficient Model Predictive Current Control of Synchronous Reluctance Motors Based on Hysteresis Comparators"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3850-1516","authenticated-orcid":false,"given":"Wagner","family":"Benjamim","sequence":"first","affiliation":[{"name":"CISE\u2014Electromechatronic Systems Research Centre, University of Beira Interior, Cal\u00e7ada Fonte do Lameiro, P-6201-001 Covilh\u00e3, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0294-1624","authenticated-orcid":false,"given":"Imed","family":"Jlassi","sequence":"additional","affiliation":[{"name":"CISE\u2014Electromechatronic Systems Research Centre, University of Beira Interior, Cal\u00e7ada Fonte do Lameiro, P-6201-001 Covilh\u00e3, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8737-6999","authenticated-orcid":false,"given":"Antonio J. Marques","family":"Cardoso","sequence":"additional","affiliation":[{"name":"CISE\u2014Electromechatronic Systems Research Centre, University of Beira Interior, Cal\u00e7ada Fonte do Lameiro, P-6201-001 Covilh\u00e3, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1109\/JESTPE.2014.2299235","article-title":"A Sizing Methodology of the Synchronous Reluctance Motor for Traction Applications","volume":"2","author":"Taghavi","year":"2014","journal-title":"IEEE J. Emerg. Sel. Top. Power Electron."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1109\/60.300136","article-title":"Rotor design optimization of synchronous reluctance machine","volume":"9","author":"Matsuo","year":"1994","journal-title":"IEEE Trans. Energy Convers."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/28.259721","article-title":"Control of Synchronous Reluctance Machines","volume":"29","author":"Betz","year":"1993","journal-title":"IEEE Trans. Ind. Appl."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"873","DOI":"10.1109\/28.148454","article-title":"A reluctance motor drive for high dynamic performance application","volume":"28","author":"Fratta","year":"1992","journal-title":"IEEE Trans. Ind. Appl."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"De Martin, I.D., Pasqualotto, D., Tinazzi, F., and Zigliotto, M. (2021). Model-Free Predictive Current Control of Synchronous Reluctance Motor Drives for Pump Applications. Machines, 9.","DOI":"10.3390\/machines9100217"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"117761","DOI":"10.1109\/ACCESS.2021.3104999","article-title":"Current Harmonic Mitigation Using a Multi-Vector Solution for MPC in Six-Phase Electric Drives","volume":"9","author":"Duran","year":"2021","journal-title":"IEEE Access"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1016\/j.conengprac.2018.06.010","article-title":"Model predictive control of systems with deadzone and saturation","volume":"78","author":"Galuppini","year":"2018","journal-title":"Control Eng. Pract."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Guechi, E.-H., Bouzoualegh, S., Zennir, Y., and Bla\u017ei\u010d, S. (2018). MPC Control and LQ Optimal Control of A Two-Link Robot Arm: A Comparative Study. Machines, 6.","DOI":"10.3390\/machines6030037"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"10109","DOI":"10.1109\/TPEL.2020.2978670","article-title":"Fault Detection and Localization for Cascaded H-Bridge Multilevel Converter with Model Predictive Control","volume":"35","author":"Chai","year":"2020","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"9866","DOI":"10.1109\/TPEL.2018.2796584","article-title":"A Voltage-Based Open-Circuit Fault Detection and Isolation Approach for Modular Multilevel Converters with Model-Predictive Control","volume":"33","author":"Zhou","year":"2018","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_11","first-page":"217","article-title":"Model-Free Predictive Current Control of Synchronous Reluctance Motors Based on a Recurrent Neural Network","volume":"9","author":"Jlassi","year":"2021","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Bento, F., Jlassi, I., and Cardoso, A.J.M. (2021, January 10\u201314). Model-Free Predictive Control of Interleaved DC-DC Converters, Based on Ultra-Local Model, with Constant Switching Frequency. Proceedings of the 2021 IEEE Energy Conversion Congress and Exposition (ECCE), Vancouver, BC, Canada.","DOI":"10.1109\/ECCE47101.2021.9595318"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Laadjal, K., Bento, F., Jlassi, I., and Cardoso, A.J.M. (2021, January 14\u201316). Online Condition Monitoring of Electrolytic Capacitors in DC-DC Interleaved Boost Converters, Adopting a Model-Free Predictive Controller. Proceedings of the 2021 IEEE 15th International Conference on Compatibility, Power Electronics and Power Engineering (CPE-POWERENG), Florence, Italy.","DOI":"10.1109\/CPE-POWERENG50821.2021.9501188"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"4312","DOI":"10.1109\/TIE.2008.2007480","article-title":"Predictive Control in Power Electronics and Drives","volume":"55","author":"Cortes","year":"2008","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_15","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_16","doi-asserted-by":"crossref","first-page":"1826","DOI":"10.1109\/TIE.2008.2008349","article-title":"Model predictive control\u2014A simple and powerful method to control power converters","volume":"56","author":"Kouro","year":"2009","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"837","DOI":"10.1049\/elp2.12062","article-title":"Open-circuit fault-tolerant operation of permanent magnet synchronous generator drives for wind turbine systems using a computationally efficient model predictive current control","volume":"15","author":"Jlassi","year":"2021","journal-title":"IET Electr. Power Appl."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1059","DOI":"10.1049\/pel2.12098","article-title":"Open-switch fault diagnosis in voltage source inverters of PMSM drives using predictive current errors and fuzzy logic approach","volume":"14","author":"Gmati","year":"2021","journal-title":"IET Power Electron."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"7645","DOI":"10.1109\/TIE.2017.2694392","article-title":"A computationally efficient lookup table based FCS-MPC for PMSM drives fed by matrix converters","volume":"64","author":"Siami","year":"2017","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_20","unstructured":"Yaramasu, V. (2014). Predictive Control of Multilevel Converters for Megawattwind Energy Conversion Systems. [Ph.D. Thesis, Ryerson University]."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"652","DOI":"10.1109\/TEC.2013.2270557","article-title":"Multi-objective model-predictive control for high-power converters","volume":"28","author":"Hu","year":"2013","journal-title":"IEEE Trans. Energy Convers."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"5532","DOI":"10.1109\/TPEL.2013.2291005","article-title":"Low complexity model predictive control single vector-based approach","volume":"29","author":"Zhang","year":"2014","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"5402","DOI":"10.1109\/TIE.2015.2410767","article-title":"Finite-control-set model predictive torque control with a deadbeat solution for PMSM drives","volume":"62","author":"Xie","year":"2015","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"6160","DOI":"10.1109\/TIE.2016.2573768","article-title":"A computationally efficient quasi-centralized DMPC for back-to-back converter pmsg wind turbine systems without dc-link tracking errors","volume":"63","author":"Zhang","year":"2016","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Serra, J., Jlassi, I., and Cardoso, A.J.M. (2021). A Computationally Efficient Model Predictive Control of Six-Phase Induction Machines Based on Deadbeat Control. Machines, 9.","DOI":"10.3390\/machines9120306"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"11215","DOI":"10.1109\/TPEL.2019.2897541","article-title":"Fault-tolerant back-to-back converter for direct-drive PMSG wind turbines using direct torque and power control techniques","volume":"34","author":"Jlassi","year":"2019","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1650","DOI":"10.1109\/JESTPE.2018.2849320","article-title":"Low-complexity model predictive torque control method without weighting factor for five-phase PMSM based on hysteresis comparators","volume":"6","author":"Wu","year":"2018","journal-title":"IEEE J. Emerg. Sel. Top. Power Electron."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Jlassi, I., and Cardoso, A.J.M. (2019, January 14\u201317). Lookup-Table-Based Model Predictive Torque Control without Weighting Factors for PMSM Drives. Proceedings of the IECON 2019-45th Annual Conference of the IEEE Industrial Electronics Society, Lisbon, Portugal.","DOI":"10.1109\/IECON.2019.8927151"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"3964","DOI":"10.1109\/TIE.2016.2519327","article-title":"A simplified finite-state predictive direct torque control for induction motor drive","volume":"63","author":"Habibullah","year":"2016","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"6574","DOI":"10.1109\/TIE.2020.3005095","article-title":"Enhanced and computationally efficient model predictive flux and power control of PMSG drives for wind turbine applications","volume":"68","author":"Jlassi","year":"2021","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"2438","DOI":"10.1109\/TPEL.2017.2696902","article-title":"Simplified finite control set-model predictive control for matrix converter-fed PMSM drives","volume":"33","author":"Siami","year":"2018","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"3588","DOI":"10.1109\/TIA.2017.2677362","article-title":"Selected prediction vectors based FS-PTC for 3L-NPC inverter fed motor drives","volume":"53","author":"Habibullah","year":"2017","journal-title":"IEEE Trans. Ind. Appl."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1298","DOI":"10.1109\/TII.2018.2815035","article-title":"Fast finite-switching-state model predictive control method without weighting factors for T-type three-level three-phase inverters","volume":"15","author":"Yang","year":"2019","journal-title":"IEEE Trans. Ind. Inf."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"6836","DOI":"10.1109\/TPEL.2014.2306939","article-title":"Multistep finite control set model predictive control for power electronics","volume":"29","author":"Geyer","year":"2014","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"8018","DOI":"10.1109\/TPEL.2016.2637081","article-title":"Computationally efficient DMPC for three-level NPC back-to-back converters in wind turbine systems with PMSG","volume":"32","author":"Zhang","year":"2017","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1109\/TIE.2006.888802","article-title":"Predictive Current Control of a Voltage Source Inverter","volume":"54","author":"Rodriguez","year":"2007","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/S0967-0661(03)00019-4","article-title":"Design and implementation of a grey sliding mode controller for synchronous reluctance motor drive","volume":"12","author":"Chiang","year":"2004","journal-title":"Control Eng. Pract."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1109\/41.744411","article-title":"Efficiency-optimized direct torque control of synchronous reluctance motor using feedback linearization","volume":"46","author":"Lee","year":"1999","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Jlassi, I., and Cardoso, A.J.M. (2018, January 3\u20136). Model predictive current control of synchronous reluctance motors, including saturation and iron losses. Proceedings of the 2018 23rd International Conference on Electrical Machines, ICEM, Alexandroupoli, Greece.","DOI":"10.1109\/ICELMACH.2018.8506944"},{"key":"ref_40","first-page":"6","article-title":"Modeling and implementation of MTPA control strategy for synrm variable speed drives","volume":"9","author":"Matos","year":"2014","journal-title":"Int. J. Elec. Eng."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"6950","DOI":"10.1109\/TIE.2017.2688971","article-title":"Predictive Stator Flux and Load Angle Control of Synchronous Reluctance Motor Drives Operating in a Wide Speed Range","volume":"64","author":"Hadla","year":"2017","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"1323","DOI":"10.1109\/TIE.2011.2157284","article-title":"Delay compensation in model predictive current control of a three-phase inverter","volume":"59","author":"Cortes","year":"2012","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_43","unstructured":"(2011). dSPACE FAQ 23, Measuring Execution Times of Block and Subsystems, dSPACE GmbH."},{"key":"ref_44","unstructured":"(1993). IEEE Recommended Practices and Requirements for Harmonic Control in Electrical Power Systems. IEEE Std 519-1992, IEEE."},{"key":"ref_45","unstructured":"Luis, C.-M. (2011, January 21\u201323). Technological Innovation for Sustainability. Proceedings of the Second IFIP WG 5.5\/SOCOLNET Doctoral Conference on Computing, Electrical and Industrial Systems, DoCEIS 2011, Costa de Caparica, Portugal."}],"container-title":["Electronics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-9292\/11\/3\/379\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:08:46Z","timestamp":1760134126000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-9292\/11\/3\/379"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,27]]},"references-count":45,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2022,2]]}},"alternative-id":["electronics11030379"],"URL":"https:\/\/doi.org\/10.3390\/electronics11030379","relation":{},"ISSN":["2079-9292"],"issn-type":[{"value":"2079-9292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,1,27]]}}}