{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:28:21Z","timestamp":1760243301341,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2014,7,31]],"date-time":"2014-07-31T00:00:00Z","timestamp":1406764800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"The National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61175075","61104088"],"award-info":[{"award-number":["61175075","61104088"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"The National High Technology Research and Development Program of China","award":["2012AA111004"],"award-info":[{"award-number":["2012AA111004"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In the last few years, rotary encoders based on two-dimensional complementary metal oxide semiconductors (CMOS) Hall plates with a magnetic concentrator have been developed to measure contactless absolute angle. There are various error factors influencing the measuring accuracy, which are difficult to locate after the assembly of encoder. In this paper, a model-based rapid diagnosis method is presented. Based on an analysis of the error mechanism, an error model is built to compare minimum residual angle error and to quantify the error factors. Additionally, a modified particle swarm optimization (PSO) algorithm is used to reduce the calculated amount. The simulation and experimental results show that this diagnosis method is feasible to quantify the causes of the error and to reduce iteration significantly.<\/jats:p>","DOI":"10.3390\/s140813980","type":"journal-article","created":{"date-parts":[[2014,8,4]],"date-time":"2014-08-04T08:06:18Z","timestamp":1407139578000},"page":"13980-13998","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["A Novel Diagnosis Method for a Hall Plates-Based Rotary Encoder with a Magnetic Concentrator"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1266-6913","authenticated-orcid":false,"given":"Bumin","family":"Meng","sequence":"first","affiliation":[{"name":"The College of Electrical and Information Engineering, Hunan University, 410082 Changsha, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yaonan","family":"Wang","sequence":"additional","affiliation":[{"name":"The College of Electrical and Information Engineering, Hunan University, 410082 Changsha, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Sun","sequence":"additional","affiliation":[{"name":"The College of Electrical and Information Engineering, Hunan University, 410082 Changsha, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaofang","family":"Yuan","sequence":"additional","affiliation":[{"name":"The College of Electrical and Information Engineering, Hunan University, 410082 Changsha, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2014,7,31]]},"reference":[{"key":"ref_1","unstructured":"Lequesne, B., and Schroeder, T. 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