{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T15:58:41Z","timestamp":1774627121358,"version":"3.50.1"},"reference-count":22,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2020,12,26]],"date-time":"2020-12-26T00:00:00Z","timestamp":1608940800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"European Regional Development Fund (ERDF)","award":["POCI-01-0145-FEDER-029494"],"award-info":[{"award-number":["POCI-01-0145-FEDER-029494"]}]},{"name":"FCT - Portuguese Foundation for Science and Technology","award":["PTDC\/EEI-EEE\/29494\/2017, UIDB\/04131\/2020 and UIDP\/04131\/2020"],"award-info":[{"award-number":["PTDC\/EEI-EEE\/29494\/2017, UIDB\/04131\/2020 and UIDP\/04131\/2020"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Machines"],"abstract":"<jats:p>Three-phase induction motors are considered to be the workhorse of industry. Therefore, induction motor faults are not only the cause of users\u2019 frustrations but they also drive up the costs related to unexpected breakdowns, repair actions, and safety issues. One of the most critical faults in three-phase induction motors is related to the occurrence of inter-turn short circuits, due to its devastating consequences. The topic of inter-turn short-circuit faults in three-phase induction motors has been discussed over recent decades by several researchers. These studies have mainly dealt with early fault detection to avoid dramatic consequences. However, they fall short of addressing the potential burnout of the induction motor before the detection step. Furthermore, the cumulative action played by an inevitable degree of unbalanced supply voltages may exacerbate such consequences. For that reason, in deep detail, this paper delves into the thermal analysis of the induction motor when operating under these two harsh conditions: unbalanced supply voltages and the presence of the most incipient type of inter-turn short-circuit condition\u2014a short-circuit between two turns only. In this work, the finite element method has been applied to create the faulty scenarios, and a commercial software (Flux2D) has been used in order to simulate the electromagnetic and thermal behavior of the machine for various degrees of severity of the aforementioned faulty modes. The obtained results confirm that the diagnostic tools reported in the literature might not be effective, failing to warrant the required lead time so that suitable actions can be taken to prevent permanent damage to the machine.<\/jats:p>","DOI":"10.3390\/machines9010002","type":"journal-article","created":{"date-parts":[[2020,12,27]],"date-time":"2020-12-27T20:04:58Z","timestamp":1609099498000},"page":"2","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["Thermal Analysis of Low-Power Three-Phase Induction Motors Operating under Voltage Unbalance and Inter-Turn Short Circuit Faults"],"prefix":"10.3390","volume":"9","author":[{"given":"Amel","family":"Adouni","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\/0000-0001-8737-6999","authenticated-orcid":false,"given":"Antonio","family":"J. Marques 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":[[2020,12,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1602","DOI":"10.1109\/TEC.2017.2706194","article-title":"Correlation model between voltage unbalance and mechanical overload based on thermal effect at the induction motor stator","volume":"32","year":"2017","journal-title":"IEEE Trans. Energy Convers."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1016\/j.enconman.2007.07.033","article-title":"Effect of unbalanced voltage on windings temperature, operational life and load carrying capacity of induction machine","volume":"49","author":"Gnacinski","year":"2008","journal-title":"Energy Convers. 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