{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T22:43:47Z","timestamp":1776811427710,"version":"3.51.2"},"reference-count":16,"publisher":"European Society of Computational Methods in Sciences and Engineering","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JCM"],"published-print":{"date-parts":[[2021,12,7]]},"abstract":"<jats:p>The weakening of cogging torque in permanent-magnet synchronous motors brings about the problem of low efficiency optimization. To solve this problem, an optimization-simulation scheme for the response surface model based on the parameter sensitivity screening is proposed. A surface-mounted motor having 12 poles and 48 slots is used to obtain the law of the influence on cogging torque caused by multiple electromagnetic parameters. Additionally, the Spearman correlation is used to analyze significant factors that affect the cogging torque. The sample is collected by an OSF optimal space filling design. A Kriging model is applied to construct the relationship between the cogging torque and significant factors, and to modify the model accuracy. The multi-island genetic algorithm is used to find an optimal solution to the cogging torque. The results show that the result of the finite element analysis after optimization only has an error of 1.5% compared with the predicted value of the pseudo model, which is 62% lower than the initial value. Therefore, the sharp reduction in cogging torque in the motor verifies the effectiveness of the optimization scheme.<\/jats:p>","DOI":"10.3233\/jcm-215067","type":"journal-article","created":{"date-parts":[[2021,8,24]],"date-time":"2021-08-24T12:06:05Z","timestamp":1629806765000},"page":"1957-1971","source":"Crossref","is-referenced-by-count":1,"title":["Optimization of cogging torque in permanent magnet motors based on parameter sensitivity and Kriging model"],"prefix":"10.66113","volume":"21","author":[{"given":"Chengwu","family":"Liu","sequence":"first","affiliation":[{"name":"School of Automotive Engineering, Changzhou Institute of Technology, Changzhou, Jiangsu, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ming","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Mechanical and Automotive Engineering, Fujian University of Technology, Fuzhou, Fujian, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ping","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Mechanical and Automotive Engineering, Fujian University of Technology, Fuzhou, Fujian, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhiliang","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Mechanical and Automotive Engineering, Fujian University of Technology, Fuzhou, Fujian, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"55691","reference":[{"key":"10.3233\/JCM-215067_ref1","unstructured":"X. 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Zhang et al., Torque ripple suppression strategy for harmonic clipping PERMANENT magnet synchronous motor based on resonance controller, Proceedings of The Chinese Society for Electrical Engineering 39(18) (2019), 5499\u20135508, 5598."},{"issue":"1","key":"10.3233\/JCM-215067_ref5","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1109\/TIA.2016.2616320","article-title":"Influence of rotor topologies and cogging torque minimization techniques in the detection of static eccentricities in axial-flux permanent-magnet machine","volume":"53","author":"Ogidi","year":"2017","journal-title":"IEEE Transactions on Industry Applications"},{"key":"10.3233\/JCM-215067_ref6","unstructured":"X. Wang, X. He and P. Gao, Study on electromagnetic vibration and noise reduction of v-type magnetic-steel rotor permanent magnet motor for electric vehicles, Proceedings of The Chinese Society for Electrical Engineering 39(16) (2019), 4919."},{"key":"10.3233\/JCM-215067_ref7","unstructured":"P. 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Sergiu et al., Experimental results regarding cogging torque reduction for the permanent magnet synchronous motors PMSM, 2019 11th International Symposium on Advanced Topics in Electrical Engineering, ATEE 2019."},{"issue":"1","key":"10.3233\/JCM-215067_ref8","first-page":"173","article-title":"Optimization of permanent magnet synchronous motor for direct drive oil recovery","volume":"49","author":"XIAO","year":"2015","journal-title":"Journal of Zhejiang University: Engineering Science"},{"issue":"1","key":"10.3233\/JCM-215067_ref9","first-page":"25","article-title":"Optimization of cogging torque of low-speed permanent magnet motors based on RBF approximation model","volume":"48","author":"Liu","year":"2020","journal-title":"Small & Special Electrical Machines"},{"key":"10.3233\/JCM-215067_ref10","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/j.matcom.2018.05.018","article-title":"Cogging torque reduction of permanent magnet synchronous motor using multi-objective optimization","volume":"153","author":"Reza","year":"2018","journal-title":"Mathematics and Computers in Simulation"},{"key":"10.3233\/JCM-215067_ref11","doi-asserted-by":"crossref","unstructured":"G. Ma, X. Qiu, J. Yang et al., Structural Parameter Optimization to Reduce Cogging Torque of the Consequent Pole In-Wheel Motor, Proceedings-2018 IEEE 18th International Conference on Power Electronics and Motion Control, PEMC 2018, 770\u2013775.","DOI":"10.1109\/EPEPEMC.2018.8521869"},{"issue":"6","key":"10.3233\/JCM-215067_ref12","doi-asserted-by":"crossref","first-page":"2483","DOI":"10.1109\/TMAG.2007.893783","article-title":"The study on the over-hang coefficient for permanent magnet machine by experimental design method","volume":"43","author":"Kim","year":"2007","journal-title":"IEEE Transactions on Magnetics"},{"key":"10.3233\/JCM-215067_ref13","doi-asserted-by":"crossref","unstructured":"M.C. Costa, S.I. Nabeta, A.B. 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Yang et al., Influences of design parameters on cogging torque and optimization of low noise sunroof motor, Dianji yu Kongzhi Xuebao\/Electric Machines and Control, 2012, v16, n1, pp. 18\u201322+30."}],"container-title":["Journal of Computational Methods in Sciences and Engineering"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JCM-215067","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T22:06:14Z","timestamp":1776809174000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JCM-215067"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,7]]},"references-count":16,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.3233\/jcm-215067","relation":{},"ISSN":["1472-7978","1875-8983"],"issn-type":[{"value":"1472-7978","type":"print"},{"value":"1875-8983","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,12,7]]}}}