{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T03:33:55Z","timestamp":1761708835117,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2013,3,19]],"date-time":"2013-03-19T00:00:00Z","timestamp":1363651200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>A New Adaptive Self-Tuning Fourier Coefficients Algorithm  for Periodic Torque Ripple Minimization in Permanent  Magnet Synchronous Motors (PMSM)  Torque ripple occurs in Permanent Magnet Synchronous Motors (PMSMs) due to the non-sinusoidal flux density distribution around the air-gap and variable magnetic reluctance of the air-gap due to the stator slots distribution. These torque ripples change periodically with rotor position and are apparent as speed variations, which degrade the PMSM drive performance, particularly at low speeds, because of low inertial filtering.  In this paper, a new self-tuning algorithm is developed for determining the Fourier Series Controller coefficients with the aim of reducing the torque ripple in a PMSM, thus allowing for a smoother operation. This algorithm adjusts the controller parameters based on the component\u2019s harmonic distortion in time domain of the compensation signal. Experimental evaluation is performed on a DSP-controlled PMSM evaluation platform. Test results obtained validate the effectiveness of the proposed self-tuning algorithm, with the Fourier series expansion scheme, in reducing the torque ripple.<\/jats:p>","DOI":"10.3390\/s130303831","type":"journal-article","created":{"date-parts":[[2013,3,19]],"date-time":"2013-03-19T12:33:57Z","timestamp":1363696437000},"page":"3831-3847","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["A New Adaptive Self-Tuning Fourier Coefficients Algorithm  for Periodic Torque Ripple Minimization in Permanent  Magnet Synchronous Motors (PMSM)"],"prefix":"10.3390","volume":"13","author":[{"given":"Alfonso","family":"G\u00f3mez-Espinosa","sequence":"first","affiliation":[{"name":"Centro de Ingenier\u00eda y Desarrollo Industrial, Direcci\u00f3n de Investigaci\u00f3n y Posgrado. Av. Playa Pie de la Cuesta No. 702, Desarrollo San Pablo, C.P. 76130 Santiago de Quer\u00e9taro, Qro., Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V\u00edctor","family":"Hern\u00e1ndez-Guzm\u00e1n","sequence":"additional","affiliation":[{"name":"Universidad Aut\u00f3noma de Quer\u00e9taro, Divisi\u00f3n de Estudios de Posgrado, Facultad de Ingenier\u00eda, Cerro de las Campanas s\/n, C.P. 76010, Santiago de Quer\u00e9taro, Qro., Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Manuel","family":"Bandala-S\u00e1nchez","sequence":"additional","affiliation":[{"name":"Centro de Ingenier\u00eda y Desarrollo Industrial, Direcci\u00f3n de Investigaci\u00f3n y Posgrado. Av. Playa Pie de la Cuesta No. 702, Desarrollo San Pablo, C.P. 76130 Santiago de Quer\u00e9taro, Qro., Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hugo","family":"Jim\u00e9nez-Hern\u00e1ndez","sequence":"additional","affiliation":[{"name":"Centro de Ingenier\u00eda y Desarrollo Industrial, Direcci\u00f3n de Investigaci\u00f3n y Posgrado. Av. Playa Pie de la Cuesta No. 702, Desarrollo San Pablo, C.P. 76130 Santiago de Quer\u00e9taro, Qro., Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Edgar","family":"Rivas-Araiza","sequence":"additional","affiliation":[{"name":"Universidad Aut\u00f3noma de Quer\u00e9taro, Divisi\u00f3n de Estudios de Posgrado, Facultad de Ingenier\u00eda, Cerro de las Campanas s\/n, C.P. 76010, Santiago de Quer\u00e9taro, Qro., Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8598-5600","authenticated-orcid":false,"given":"Juvenal","family":"Rodr\u00edguez-Res\u00e9ndiz","sequence":"additional","affiliation":[{"name":"Universidad Aut\u00f3noma de Quer\u00e9taro, Divisi\u00f3n de Estudios de Posgrado, Facultad de Ingenier\u00eda, Cerro de las Campanas s\/n, C.P. 76010, Santiago de Quer\u00e9taro, Qro., Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gilberto","family":"Herrera-Ru\u00edz","sequence":"additional","affiliation":[{"name":"Universidad Aut\u00f3noma de Quer\u00e9taro, Divisi\u00f3n de Estudios de Posgrado, Facultad de Ingenier\u00eda, Cerro de las Campanas s\/n, C.P. 76010, Santiago de Quer\u00e9taro, Qro., Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2013,3,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"6901","DOI":"10.3390\/s100706901","article-title":"Position and speed control of brushless DC motors using sensorless techniques and application trends","volume":"10","year":"2010","journal-title":"Sensors"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"D\u00f6nmezer, Y., and Ergene, L.T. 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