{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T00:14:48Z","timestamp":1769559288865,"version":"3.49.0"},"reference-count":23,"publisher":"MDPI AG","issue":"24","license":[{"start":{"date-parts":[[2021,12,8]],"date-time":"2021-12-08T00:00:00Z","timestamp":1638921600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002858","name":"China postdoctoral science foundation","doi-asserted-by":"publisher","award":["2015M572729"],"award-info":[{"award-number":["2015M572729"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Aiming at the problem that the measured accuracy of the electric field intensity which is affected by the coupling interference by sensor output signal from the component of a three dimensional electric field, the causes of the coupling error was analyzed, and a decoupled calibration method based on support vector regression algorithm for three-dimensional electric field sensor is proposed. The solution of the decoupled calibration matrix was regarded as a multi-objective optimization process, and the optimal decoupling calibration matrix was obtained by the \u03bd-SVR algorithm. The complex inverse calculation of the matrix was avoided, and the calculation error was reduced. A rotary calibration device was designed to accurately measure the angle between the induction electrode of the sensor and the electric-field vector, and an accurate calculation model of the theoretical electric field was established. The experimental results showed that the error between the calculated and theoretical values of the electric-field components obtained by the proposed method were smaller than those obtained by the traditional inverse matrix calibration method, the accuracy of the calibration was improved, the rationality of the calibration method was proven, and the accuracy of the three-dimensional electric-field intensity measurements was further improved.<\/jats:p>","DOI":"10.3390\/s21248196","type":"journal-article","created":{"date-parts":[[2021,12,8]],"date-time":"2021-12-08T23:30:00Z","timestamp":1639006200000},"page":"8196","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A Decoupled Calibration Method Based on the Multi-Output Support Vector Regression Algorithm for Three-Dimensional Electric-Field Sensors"],"prefix":"10.3390","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5949-1068","authenticated-orcid":false,"given":"Wei","family":"Zhao","sequence":"first","affiliation":[{"name":"National Defense Engineering College, Army Engineering University of PLA, Nanjing 210007, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3148-7048","authenticated-orcid":false,"given":"Zhizhong","family":"Li","sequence":"additional","affiliation":[{"name":"National Defense Engineering College, Army Engineering University of PLA, Nanjing 210007, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8088-7187","authenticated-orcid":false,"given":"Haitao","family":"Zhang","sequence":"additional","affiliation":[{"name":"National Defense Engineering College, Army Engineering University of PLA, Nanjing 210007, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3461-3003","authenticated-orcid":false,"given":"Yuan","family":"Yuan","sequence":"additional","affiliation":[{"name":"National Defense Engineering College, Army Engineering University of PLA, Nanjing 210007, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6333-4743","authenticated-orcid":false,"given":"Ziwei","family":"Zhao","sequence":"additional","affiliation":[{"name":"National Defense Engineering College, Army Engineering University of PLA, Nanjing 210007, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,12,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1016\/j.jastp.2013.03.029","article-title":"Non-stationary corona around multi-point system in atmospheric electric field: I. 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