{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,5]],"date-time":"2026-06-05T04:28:03Z","timestamp":1780633683104,"version":"3.54.1"},"reference-count":27,"publisher":"Wiley","issue":"12","license":[{"start":{"date-parts":[[2025,5,1]],"date-time":"2025-05-01T00:00:00Z","timestamp":1746057600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/501100004735","name":"Hunan Provincial Natural Science Foundation","doi-asserted-by":"publisher","award":["2022JJ30226"],"award-info":[{"award-number":["2022JJ30226"]}],"id":[{"id":"10.13039\/501100004735","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Circuit Theory &amp;amp; Apps"],"published-print":{"date-parts":[[2025,12]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>Accurately calculating the mutual inductance between coils is crucial for achieving an efficient and reliable wireless power transmission system. However, when a double\u2010sided magnetic medium coil undergoes any positional change, it typically relies on simulation software to obtain the mutual inductance value, lacking a straightforward calculation method. To address this, this paper proposes a unilateral mirror current equivalent method to derive the mutual inductance formula for coils with double\u2010sided magnetic medium at arbitrary positions. This method replaces the magnetic medium on the receiving side with a mirror current coil, equating the mutual inductance to the sum of the mutual inductance when only the transmitting side magnetic medium is present and the mutual inductance when the mirror current is acting without magnetic media. By analyzing the variation of the mirror current coefficient, a formula for the mutual inductance between coils with double\u2010sided magnetic medium during positional changes is derived. An experimental setup with the same parameters as the simulation model was built using acrylic plates, copper wires, and other materials. The mutual inductance experimental values were measured using an impedance analyzer. Simulation and experimental results indicate that the calculated mutual inductance values have an error of no more than 5.30% compared to experimental values. This method remains applicable even when the parameters of the coils and magnetic media change, and it is 70 times faster than simulation, thereby validating the effectiveness and speed of the calculation method.<\/jats:p>","DOI":"10.1002\/cta.4581","type":"journal-article","created":{"date-parts":[[2025,5,1]],"date-time":"2025-05-01T03:55:49Z","timestamp":1746071749000},"page":"6907-6919","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Method for Calculating Mutual Inductance at Any Position Between Circular Coils With Bilateral Magnetic Medium in Wireless Power Transfer Systems"],"prefix":"10.1002","volume":"53","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-5452-3723","authenticated-orcid":false,"given":"Changxuan","family":"Hu","sequence":"first","affiliation":[{"name":"College of Rail Transportation Hunan University of Technology  Zhuzhou China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhongqi","family":"Li","sequence":"additional","affiliation":[{"name":"College of Rail Transportation Hunan University of Technology  Zhuzhou China"},{"name":"College of Electrical and Information Engineering Hunan University  Changsha China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yang","family":"Leng","sequence":"additional","affiliation":[{"name":"College of Electrical and Information Engineering Hunan University  Changsha China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lingjun","family":"Kong","sequence":"additional","affiliation":[{"name":"College of Electrical Engineering Hunan University of Technology  Zhuzhou China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2025,5]]},"reference":[{"key":"e_1_2_10_2_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2018.2808904"},{"key":"e_1_2_10_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2020.3038095"},{"key":"e_1_2_10_4_1","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4080"},{"key":"e_1_2_10_5_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2015.2417122"},{"key":"e_1_2_10_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIA.2023.3249146"},{"key":"e_1_2_10_7_1","doi-asserted-by":"publisher","DOI":"10.1109\/TMTT.2020.2989118"},{"key":"e_1_2_10_8_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2024.3401190"},{"key":"e_1_2_10_9_1","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2014.2346737"},{"key":"e_1_2_10_10_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41928-021-00636-3"},{"key":"e_1_2_10_11_1","doi-asserted-by":"publisher","DOI":"10.1109\/LAWP.2023.3298350"},{"key":"e_1_2_10_12_1","doi-asserted-by":"publisher","DOI":"10.1109\/TUFFC.2021.3103099"},{"key":"e_1_2_10_13_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2023.3303487"},{"key":"e_1_2_10_14_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2024.3446788"},{"key":"e_1_2_10_15_1","doi-asserted-by":"publisher","DOI":"10.1109\/LMWT.2023.3321615"},{"key":"e_1_2_10_16_1","doi-asserted-by":"publisher","DOI":"10.1002\/cta.3670"},{"key":"e_1_2_10_17_1","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2011.2125796"},{"key":"e_1_2_10_18_1","doi-asserted-by":"crossref","unstructured":"J. C.Compter \u201cMutual Inductance and Forces Between Two Non\u2010Coaxial Co\u2010Planar Circular Thin\u2010Wall Air Coils \u201d (2019) COMPEL \u2010 The International Journal for Computation and Mathematics in Electrical and Electronic Engineering.","DOI":"10.1108\/COMPEL-10-2017-0421"},{"key":"e_1_2_10_19_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2015.2413493"},{"key":"e_1_2_10_20_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2021.3061667"},{"issue":"16","key":"e_1_2_10_21_1","first-page":"1041","article-title":"Mutual Inductance Calculation for Coils With Misalignment in Wireless Power Transfer","volume":"2019","author":"Zhang X.","year":"2019","journal-title":"Journal of Engineering"},{"key":"e_1_2_10_22_1","doi-asserted-by":"publisher","DOI":"10.1049\/iet-pel.2020.0392"},{"key":"e_1_2_10_23_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2017.2723867"},{"key":"e_1_2_10_24_1","doi-asserted-by":"publisher","DOI":"10.1109\/TTE.2021.3054762"},{"key":"e_1_2_10_25_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2021.3082777"},{"key":"e_1_2_10_26_1","doi-asserted-by":"publisher","DOI":"10.1109\/TTE.2022.3187953"},{"issue":"4","key":"e_1_2_10_27_1","first-page":"1504","article-title":"Analytical Modeling Method for Inductance of Planar Magnetic Coupler in Wireless Power Transfer","volume":"43","author":"Chen Y.","year":"2023","journal-title":"Proceedings of the CSEE"},{"key":"e_1_2_10_28_1","doi-asserted-by":"publisher","DOI":"10.1109\/TTE.2023.3337436"}],"container-title":["International Journal of Circuit Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.4581","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,10]],"date-time":"2025-12-10T04:40:33Z","timestamp":1765341633000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/cta.4581"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5]]},"references-count":27,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2025,12]]}},"alternative-id":["10.1002\/cta.4581"],"URL":"https:\/\/doi.org\/10.1002\/cta.4581","archive":["Portico"],"relation":{},"ISSN":["0098-9886","1097-007X"],"issn-type":[{"value":"0098-9886","type":"print"},{"value":"1097-007X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,5]]},"assertion":[{"value":"2025-01-02","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-04-21","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-05-01","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}