{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:24:46Z","timestamp":1760239486587,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"22","license":[{"start":{"date-parts":[[2020,11,18]],"date-time":"2020-11-18T00:00:00Z","timestamp":1605657600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the Key Research &amp; Development Plan of Shandong Province","award":["2019JZZY010337"],"award-info":[{"award-number":["2019JZZY010337"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The eddy current displacement sensor (ECDS) is used to realize the precise detection of the rotor radial position in the magnetic suspension motor. The eccentricity between the probe axis and the measured surface normal reduces the measurement accuracy. An ECDS mathematical model is established to analyze the influence of the measured surface curvature and eccentricity on detection results. The eddy current density distribution law of the measured surface is obtained by using the finite element method (FEM). The experimental platform is set up based on the practical engineering structure, which contains two kinds structures of the single probe and the differential. The compensation method is introduced to reduce the error caused by the eccentricity. The displacement measurement error with and without compensation are tested separately. The results show that the largest full-scale error is less than 0.8% after compensation in the single probe structure, and 0.6% in the differential structure. For the engineering application, the orthogonal direction measured value is used as the eccentricity, and the compensation order of big then small is proposed. It is thus proved that the compensation method provides a guarantee for accurate feedback and control of the rotor radial position in the magnetic suspension motor system.<\/jats:p>","DOI":"10.3390\/s20226608","type":"journal-article","created":{"date-parts":[[2020,11,18]],"date-time":"2020-11-18T09:59:47Z","timestamp":1605693587000},"page":"6608","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["The Influence and Compensation Method of Eccentricity for Cylindrical Specimens in Eddy Current Displacement Measurement"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2656-4301","authenticated-orcid":false,"given":"Hao","family":"Zhan","sequence":"first","affiliation":[{"name":"School of Mechanical, Electrical &amp; Information Engineering, Shandong University, Weihai 264200, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mechanical, Electrical &amp; Information Engineering, Shandong University, Weihai 264200, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tingting","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mechanical, Electrical &amp; Information Engineering, Shandong University, Weihai 264200, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juntao","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Mechanical, Electrical &amp; Information Engineering, Shandong University, Weihai 264200, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,11,18]]},"reference":[{"key":"ref_1","first-page":"1441","article-title":"Maglev rotor axial displacement detection method using eddy current sensor","volume":"32","author":"Li","year":"2011","journal-title":"Chin. J. Sci. Instrum."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Fan, M.B., Wang, Q., Cao, B.H., Ye, B., Sunny, A.I., and Tian, G.Y. (2016). Frequency Optimization for Enhancement of Surface Defect Classification Using the Eddy Current Technique. Sensors, 16.","DOI":"10.3390\/s16050649"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1080\/10589759.2018.1428321","article-title":"Lift-off nulling and internal state inspection of multi-layer conductive structures by combined signal features in pulsed eddy current testing","volume":"33","author":"Huang","year":"2018","journal-title":"Nondestruct. Test. Eval."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/LSENS.2018.2822296","article-title":"Lift-Off Point of Intersection in Spectral Pulsed Eddy Current Signals for Thickness Measurement","volume":"2","author":"Wen","year":"2018","journal-title":"IEEE Sens. Lett."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1080\/10589759.2015.1081903","article-title":"Thickness measurement of multi-layer conductive coatings using multifrequency eddy current techniques","volume":"31","author":"Zhang","year":"2015","journal-title":"Nondestruct. Test. Eval."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1080\/10589759.2014.914209","article-title":"Defect classification using phase lag information of EC-GMR output","volume":"29","author":"Gao","year":"2014","journal-title":"Nondestruct. Test. Eval."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1080\/10589759.2014.992431","article-title":"New contactless eddy current non-destructive methodology for electric conductivity measurement","volume":"30","author":"Bouchala","year":"2015","journal-title":"Nondestruct. Test. Eval."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1109\/MIE.2013.2285240","article-title":"Measuring in the Subnanometer Range: Capacitive and Eddy Current Nanodisplacement Sensors","volume":"8","author":"Nihtianov","year":"2014","journal-title":"IEEE Ind. Electron. Mag."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1159","DOI":"10.1109\/TMAG.2011.2170084","article-title":"Evaluation of Eddy-Current Probe Signals Due to Cracks in Fastener Holes","volume":"48","author":"Bowler","year":"2012","journal-title":"IEEE Trans. Magn."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1016\/j.ndteint.2009.01.005","article-title":"Analytical modeling for transient probe response in pulsed eddy current testing","volume":"42","author":"Fan","year":"2009","journal-title":"NDT E Int."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1287","DOI":"10.1109\/JSEN.2014.2362072","article-title":"Modeling and Design Optimization of an Eddy Current Sensor for Superficial and Subsuperficial Crack Detection in Inconel Claddings","volume":"15","author":"Pereira","year":"2014","journal-title":"IEEE Sensors J."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2026","DOI":"10.1109\/20.376441","article-title":"Geometrical optimization of sensors for eddy currents. Non destructive testing and evaluation","volume":"31","author":"Thollon","year":"1995","journal-title":"IEEE Trans. Magn."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Wang, F., Men, C.H., Kong, X.W., and Meng, L.X. (2019). Optimum Design and Application Research of Eddy Current Sensor for Measurement of TBM Disc Cutter Wear. Sensors, 19.","DOI":"10.3390\/s19194230"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"10693","DOI":"10.3390\/s120810693","article-title":"A Wide Linear Range Eddy Current Displacement Sensor Equipped with Dual-Coil Probe Applied in the Magnetic Suspension Flywheel","volume":"12","author":"Fang","year":"2012","journal-title":"Sensors"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Liu, W., Liang, B., Jia, Z.Y., Feng, D., Jiang, X.T., Li, X., and Zhou, M.D. (2018). High-Accuracy Calibration Based on Linearity Adjustment for Eddy Current Displacement Sensor. Sensors, 18.","DOI":"10.3390\/s18092842"},{"key":"ref_16","first-page":"11","article-title":"Design for large range electric eddy current sensor","volume":"38","author":"Yang","year":"2009","journal-title":"Instrum. Tech. Sens."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1080\/10589759.2015.1081905","article-title":"Influence of tilt angle on eddy current displacement measurement","volume":"31","author":"Li","year":"2015","journal-title":"Nondestruct. Test. Eval."},{"key":"ref_18","first-page":"126","article-title":"Suppression method of a probe-coil\u2019s lift-off noise for the curved specimen with small curvature radius in eddy-current testing","volume":"29","author":"Zhang","year":"2009","journal-title":"Proc. CSEE"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"4167","DOI":"10.1109\/TMAG.2008.2002628","article-title":"Basic Characteristics of an Active Thrust Magnetic Bearing with a Cylindrical Rotor Core","volume":"44","author":"Hijikata","year":"2008","journal-title":"IEEE Trans. Magn."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1363","DOI":"10.1109\/TMAG.2006.871396","article-title":"Analysis of hybrid magnetic bearing with a permanent magnet in the rotor by FEM","volume":"42","author":"Xu","year":"2006","journal-title":"IEEE Trans. Magn."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"384","DOI":"10.1109\/TIM.2003.822705","article-title":"Impedance of the Eddy-Current Displacement Probe: The Transformer Model","volume":"53","author":"Vyroubal","year":"2004","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"476","DOI":"10.1007\/s11665-010-9697-y","article-title":"Investigation of Variables Affecting Impedance Plane in Eddy Current Testing of Carburized Steels","volume":"20","author":"Amiri","year":"2010","journal-title":"J. Mater. Eng. 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