{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,4]],"date-time":"2026-04-04T17:38:54Z","timestamp":1775324334960,"version":"3.50.1"},"reference-count":22,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2022,1,7]],"date-time":"2022-01-07T00:00:00Z","timestamp":1641513600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>An asymmetric, cross-coupling effect, as well as digital control delays, in a permanent-magnet synchronous motor (PMSM) will deteriorate its current-control performance in the high-speed range, especially for electric motors used in electric vehicles (EVs) with features such as high-power density and a low carrier\/modulation frequency ratio. In this paper, an angle-compensating, complex-coefficient, proportional-integrator (ACCC-PI) controller is proposed, which aims to provide an excellent decoupling performance even with considerable digital control delay. Firstly, the current open and closed loop complex-coefficient transfer functions were established in the synchronous rotation coordinate system. The proposed method, along with existing ones, were then evaluated and theoretically compared. On this basis, the parameter-tuning method of the ACCC-PI controller was presented. Finally, simulation and experimental results proved the correctness of the theoretical analysis and the proposed method.<\/jats:p>","DOI":"10.3390\/sym14010101","type":"journal-article","created":{"date-parts":[[2022,1,9]],"date-time":"2022-01-09T23:35:09Z","timestamp":1641771309000},"page":"101","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["An Angle-Compensating, Complex-Coefficient PI Controller Used for Decoupling Control of a Permanent-Magnet Synchronous Motor"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8049-9021","authenticated-orcid":false,"given":"Jing","family":"Guo","sequence":"first","affiliation":[{"name":"Advanced Optical Instrument Research Department, University of Chinese Academy of Sciences, Haidian District, Beijing 100049, China"},{"name":"Institute of Electrical Engineering, Chinese Academy of Sciences, Haidian District, Beijing 100190, China"}]},{"given":"Tao","family":"Fan","sequence":"additional","affiliation":[{"name":"Institute of Electrical Engineering, Chinese Academy of Sciences, Haidian District, Beijing 100190, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7257-5688","authenticated-orcid":false,"given":"Qi","family":"Li","sequence":"additional","affiliation":[{"name":"Institute of Electrical Engineering, Chinese Academy of Sciences, Haidian District, Beijing 100190, China"}]},{"given":"Xuhui","family":"Wen","sequence":"additional","affiliation":[{"name":"Advanced Optical Instrument Research Department, University of Chinese Academy of Sciences, Haidian District, Beijing 100049, China"},{"name":"Institute of Electrical Engineering, Chinese Academy of Sciences, Haidian District, Beijing 100190, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"7394","DOI":"10.1109\/TPEL.2016.2632065","article-title":"Stability Analysis and Controller Synthesis for Single-Loop Voltage-Controlled VSIs","volume":"32","author":"Wang","year":"2017","journal-title":"IEEE Trans. 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