{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T15:53:36Z","timestamp":1778774016121,"version":"3.51.4"},"reference-count":26,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2018,2,14]],"date-time":"2018-02-14T00:00:00Z","timestamp":1518566400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Changjiang Scholars and Innovative Research Team in University","award":["IRT1203"],"award-info":[{"award-number":["IRT1203"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573046"],"award-info":[{"award-number":["61573046"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This paper analyzes the measurement error, caused by the position of the current-carrying conductor, of a circular array of magnetic sensors for current measurement. The circular array of magnetic sensors is an effective approach for AC or DC non-contact measurement, as it is low-cost, light-weight, has a large linear range, wide bandwidth, and low noise. Especially, it has been claimed that such structure has excellent reduction ability for errors caused by the position of the current-carrying conductor, crosstalk current interference, shape of the conduction cross-section, and the Earth\u2019s magnetic field. However, the positions of the current-carrying conductor\u2014including un-centeredness and un-perpendicularity\u2014have not been analyzed in detail until now. In this paper, for the purpose of having minimum measurement error, a theoretical analysis has been proposed based on vector inner and exterior product. In the presented mathematical model of relative error, the un-center offset distance, the un-perpendicular angle, the radius of the circle, and the number of magnetic sensors are expressed in one equation. The comparison of the relative error caused by the position of the current-carrying conductor between four and eight sensors is conducted. Tunnel magnetoresistance (TMR) sensors are used in the experimental prototype to verify the mathematical model. The analysis results can be the reference to design the details of the circular array of magnetic sensors for current measurement in practical situations.<\/jats:p>","DOI":"10.3390\/s18020578","type":"journal-article","created":{"date-parts":[[2018,2,14]],"date-time":"2018-02-14T07:01:42Z","timestamp":1518591702000},"page":"578","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["Circular Array of Magnetic Sensors for Current Measurement: Analysis for Error Caused by Position of Conductor"],"prefix":"10.3390","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4692-3965","authenticated-orcid":false,"given":"Hao","family":"Yu","sequence":"first","affiliation":[{"name":"School of Instrumentation Science and Opto-Electronics Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zheng","family":"Qian","sequence":"additional","affiliation":[{"name":"School of Instrumentation Science and Opto-Electronics Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huayi","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Instrumentation Science and Opto-Electronics Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiaqi","family":"Qu","sequence":"additional","affiliation":[{"name":"School of Instrumentation Science and Opto-Electronics Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,2,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Ennen, I., Kappe, D., Rempel, T., Glenske, C., and Hu\u00a8tten, A. 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