{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T19:55:33Z","timestamp":1774382133841,"version":"3.50.1"},"reference-count":47,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,6,23]],"date-time":"2022-06-23T00:00:00Z","timestamp":1655942400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Cultural and Educational Grant Agency of the Ministry of Education of the Slovak Republic","award":["KEGA 036\u017dU-4\/2021"],"award-info":[{"award-number":["KEGA 036\u017dU-4\/2021"]}]},{"name":"Cultural and Educational Grant Agency of the Ministry of Education of the Slovak Republic","award":["VEGA 1\/0513\/22"],"award-info":[{"award-number":["VEGA 1\/0513\/22"]}]},{"name":"Slovak Research and Development Agency of the Ministry of Education, Science, Research and  Sport of the Slovak Republic in Educational Grant Agency of the Ministry of Education of the Slovak Republic","award":["KEGA 036\u017dU-4\/2021"],"award-info":[{"award-number":["KEGA 036\u017dU-4\/2021"]}]},{"name":"Slovak Research and Development Agency of the Ministry of Education, Science, Research and  Sport of the Slovak Republic in Educational Grant Agency of the Ministry of Education of the Slovak Republic","award":["VEGA 1\/0513\/22"],"award-info":[{"award-number":["VEGA 1\/0513\/22"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>A method is proposed for determining the number of damaged stator windings in the presence of an asymmetric power supply system for an induction electric motor based on the Park vector hodograph. As a result of the experiments on the simulation model, it was found that with the symmetry of the system of supply voltages and stator windings, the hodograph of the Park vector describes a circle; in all other cases it is an ellipse. It has been established that the presence of asymmetry in the supply voltage system is indicated by the angle of inclination of the ellipse, and the indicator of the presence of the asymmetry of the stator windings is the angle of ellipticity. In order to identify the presence of asymmetry of the stator windings in the conditions of asymmetry of the supply voltage system, an algorithm for recalculating the ellipse parameters for the condition of the symmetry of the supply voltage system was proposed. Recalculation errors did not exceed 6%. It has been established that the dependence of the increment of the amplitudes of the phase and angles of the phase currents of the stator on the number of damaged turns of the stator winding is linear. Based on this fact, an algorithm for determining the number of damaged turns was proposed. The results of this work can be used to build systems for diagnosing the interturn short circuit of the stator of an induction electric motor built into the drive.<\/jats:p>","DOI":"10.3390\/sym14071305","type":"journal-article","created":{"date-parts":[[2022,6,23]],"date-time":"2022-06-23T22:43:00Z","timestamp":1656024180000},"page":"1305","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Method for Determining the Degree of Damage to the Stator Windings of an Induction Electric Motor with an Asymmetric Power System"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3928-0567","authenticated-orcid":false,"given":"Juraj","family":"Gerlici","sequence":"first","affiliation":[{"name":"Department of Transport and Handling Machines, University of \u017dilina, Univerzitn\u00e1 8215\/1, 010 26 \u017dilina, Slovakia"}]},{"given":"Sergey","family":"Goolak","sequence":"additional","affiliation":[{"name":"Department of Electromechanics and Rolling Stock of Railways, State University of Infrastructure and Technologies, Kyrylivska Str., 9, 04071 Kyiv, Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7864-0831","authenticated-orcid":false,"given":"Oleg","family":"Gubarevych","sequence":"additional","affiliation":[{"name":"Department of Navigation and Operation of Technical Systems on Water Transport, State University of Infrastructure and Technologies, Kyrylivska Str., 9, 04071 Kyiv, Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3775-6288","authenticated-orcid":false,"given":"Kateryna","family":"Kravchenko","sequence":"additional","affiliation":[{"name":"Department of Transport and Handling Machines, University of \u017dilina, Univerzitn\u00e1 8215\/1, 010 26 \u017dilina, Slovakia"}]},{"given":"Kateryna","family":"Kamchatna-Stepanova","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering Technology and Metal-Cutting Machines, National Technical University (Kharkiv Polytechnic Institute), Kyrpychova Str., 2, 61002 Kharkiv, Ukraine"}]},{"given":"Andrey","family":"Toropov","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Volodymyr Dahl East Ukrainian National University, Prospect Tsentralnyiy 59a, 93400 Severodonetsk, Ukraine"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,23]]},"reference":[{"key":"ref_1","first-page":"162","article-title":"Logistic technology to deliver raw material for metallurgical production","volume":"1","author":"Turpak","year":"2018","journal-title":"Sci. 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