{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,23]],"date-time":"2025-12-23T15:34:20Z","timestamp":1766504060125,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2015,5,11]],"date-time":"2015-05-11T00:00:00Z","timestamp":1431302400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This paper proposes a current sensor fault detection method based on a sliding mode observer for the torque closed-loop control system of interior permanent magnet synchronous motors. First, a sliding mode observer based on the extended flux linkage is built to simplify the motor model, which effectively eliminates the phenomenon of salient poles and the dependence on the direct axis inductance parameter, and can also be used for  real-time calculation of feedback torque. Then a sliding mode current observer is constructed in \u03b1\u03b2 coordinates to generate the fault residuals of the phase current sensors. The method can accurately identify abrupt gain faults and slow-variation offset faults in real time in faulty sensors, and the generated residuals of the designed fault detection system are not affected by the unknown input, the structure of the observer, and the theoretical derivation and the stability proof process are concise and simple. The RT-LAB real-time simulation is used to build a simulation model of the hardware in the loop. The simulation and experimental results demonstrate the feasibility and effectiveness of the proposed method.<\/jats:p>","DOI":"10.3390\/s150511027","type":"journal-article","created":{"date-parts":[[2015,5,11]],"date-time":"2015-05-11T10:09:28Z","timestamp":1431338968000},"page":"11027-11049","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["Current Sensor Fault Diagnosis Based on a Sliding Mode Observer for PMSM Driven Systems"],"prefix":"10.3390","volume":"15","author":[{"given":"Gang","family":"Huang","sequence":"first","affiliation":[{"name":"School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China"},{"name":"College of Electrical and Information Engineering, Hunan University of Technology,  Zhuzhou 412007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1396-5090","authenticated-orcid":false,"given":"Yi-Ping","family":"Luo","sequence":"additional","affiliation":[{"name":"School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chang-Fan","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Electrical and Information Engineering, Hunan University of Technology,  Zhuzhou 412007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yi-Shan","family":"Huang","sequence":"additional","affiliation":[{"name":"Hunan CSR Times Electric Vehicle Co., Ltd, Zhuzhou 412007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kai-Hui","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China"},{"name":"College of Electrical and Information Engineering, Hunan University of Technology,  Zhuzhou 412007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2015,5,11]]},"reference":[{"key":"ref_1","first-page":"111","article-title":"Comparison of Permanent Magnet Synchronous Motors Applied to Railway Vehicle Traction System","volume":"29","author":"Feng","year":"2007","journal-title":"J. China Railw. Soc."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1002\/tee.20121","article-title":"Development Trend of the Permanent Magnet Synchronous Motor for Railway Traction","volume":"2","author":"Matsuoka","year":"2007","journal-title":"IEEJ Trans. Electr. Electr."},{"key":"ref_3","first-page":"74","article-title":"Field Weakening Operation Control Strategies of Permanent Magnet Synchronous Motor for Railway Vehicle","volume":"30","author":"Sheng","year":"2010","journal-title":"Proc. CSEE"},{"key":"ref_4","first-page":"130","article-title":"Present Situation and Perspect of Applying Permanent Magnet Synchronous Motors to Railway Locomotives","volume":"27","author":"Xu","year":"2005","journal-title":"J. China Railw. Soc."},{"key":"ref_5","first-page":"1","article-title":"Development Overview and Application Challenges of Permanent Magnet Synchronous Traction System for Rail Transit","volume":"3","author":"Feng","year":"2012","journal-title":"High Power Convert. Technol."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"3485","DOI":"10.1109\/TIE.2013.2244537","article-title":"A Sensor Fault Detection and Isolation Method in Interior Permanent-Magnet Synchronous Motor Drives Based on an Extended Kalman Filter","volume":"60","author":"Foo","year":"2013","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1416","DOI":"10.1109\/TIE.2010.2050756","article-title":"Design of a fault-tolerant controller based on observers for a PMSM drive","volume":"58","author":"Akrad","year":"2011","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1968","DOI":"10.1109\/TIA.2012.2226192","article-title":"Sensorless vector control of PM synchronous motors during single-phase open-circuit faulted conditions","volume":"48","author":"Gaeta","year":"2012","journal-title":"IEEE Trans. Ind. Appl."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"3496","DOI":"10.1109\/TIE.2012.2188877","article-title":"A new algorithm for real-time multiple open-circuit fault diagnosis in voltage-fed PWM motor drives by the reference current errors","volume":"60","author":"Estima","year":"2013","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"985","DOI":"10.6113\/JPE.2013.13.6.985","article-title":"Open circuit fault diagnosis using stator resistance variation for permanent magnet synchronous motor drives","volume":"13","author":"Park","year":"2013","journal-title":"J. Power Electron."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"2550","DOI":"10.1109\/TPEL.2011.2173589","article-title":"Open-circuit fault diagnosis and fault-tolerant strategies for full-bridge DC-DC converters","volume":"27","author":"Pei","year":"2012","journal-title":"IEEE Trans. Power. Electr."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"4104","DOI":"10.1109\/TPEL.2012.2227808","article-title":"A new approach to fault diagnosis for permanent magnet synchronous machines using electromagnetic signature analysis","volume":"28","author":"Da","year":"2013","journal-title":"IEEE Trans. Power. Electr."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1205","DOI":"10.1109\/TIA.2013.2253081","article-title":"Application of artificial intelligence to real-time fault detection in permanent-magnet synchronous machines","volume":"49","author":"Nyanteh","year":"2013","journal-title":"IEEE Trans. Ind. Appl."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1016\/j.epsr.2012.02.012","article-title":"Application of the zero-sequence voltage component to detect stator winding inter-turn faults in PMSMs","volume":"89","author":"Urresty","year":"2012","journal-title":"Electr. Power Syst. Res."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1049\/iet-epa.2010.0159","article-title":"Magnetic field and vibration monitoring in permanent magnet synchronous motors under eccentricity fault","volume":"6","author":"Ebrahimi","year":"2012","journal-title":"IET Electr. Power Appl."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1109\/TIA.2004.840947","article-title":"Fault Detection and Fault-Tolerant Control of Interior Permanent-Magnet Motor Drive System for Electric Vehicle","volume":"41","author":"Jeong","year":"2005","journal-title":"IEEE Trans. Ind. Appl."},{"key":"ref_17","unstructured":"Liu, L. (2006). Robust Fault Detection and Diagnosis for Permanent Magnet Synchronous Motors. [Ph.D. Thesis, The Florida State University]."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Diao, S., Makni, Z., Bisson, J.-F., Diallo, D., and Marchand, C. (2013, January 10\u201214). Sensor fault diagnosis for improving the availability of electrical drives. Proceedings of the IECON 2013-39th Annual Conference of the IEEE Industrial Electronics Society, Vienna, Austria.","DOI":"10.1109\/IECON.2013.6699625"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Grouz, F., Sbita, L., and Boussak, M. (2013, January 18\u201221). Current sensors gain faults detection and isolation based on an adaptive observer for PMSM drives. Proceedings of the 2013 10th International Multi-Conference on Systems, Signals and Devices, Hammamet, Tunisia.","DOI":"10.1109\/SSD.2013.6564061"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Grouz, F., Sbita, L., and Boussak, M. (2013, January 21\u201223). Current sensors faults detection, isolation and control reconfiguration for PMSM drives. Proceedings of the 2013 International Conference on Electrical Engineering and Software Applications, Hammamet, Tunisia.","DOI":"10.1109\/ICEESA.2013.6578414"},{"key":"ref_21","first-page":"13","article-title":"Variable Structure Intelligent Control for PM Synchronous Servo Motor Drive","volume":"22","author":"Zhang","year":"2002","journal-title":"Proc. CSEE"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1815","DOI":"10.1016\/S0005-1098(02)00098-5","article-title":"Sliding Mode Observers for Detection and Reconstruction of Sensor Faults","volume":"38","author":"Tan","year":"2002","journal-title":"Automatica"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"23119","DOI":"10.3390\/s141223119","article-title":"Online Fault Detection of Permanent Magnet Demagnetization for IPMSMs by Nonsingular Fast Terminal-Sliding-Mode Observer","volume":"14","author":"Zhao","year":"2014","journal-title":"Sensors"},{"key":"ref_24","first-page":"80","article-title":"Torque Closed-loop Vector Control Based on Extended Flux Linkage Observer of Permanent Magnet Synchronous Motor","volume":"38","author":"Yang","year":"2014","journal-title":"Autom. Electr. Power Syst."},{"key":"ref_25","first-page":"112","article-title":"A Fault Detection Approach Based on Sliding Mode Observers","volume":"31","author":"He","year":"2009","journal-title":"J. Natl. Univ. Def. Technol."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/5\/11027\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T20:46:04Z","timestamp":1760215564000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/5\/11027"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,5,11]]},"references-count":25,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2015,5]]}},"alternative-id":["s150511027"],"URL":"https:\/\/doi.org\/10.3390\/s150511027","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2015,5,11]]}}}