{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T22:47:23Z","timestamp":1776811643268,"version":"3.51.2"},"reference-count":37,"publisher":"European Society of Computational Methods in Sciences and Engineering","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JCM"],"published-print":{"date-parts":[[2022,5,13]]},"abstract":"<jats:p>The constant current field of wide-area layered earth has adverse effects on many industries. But it presents a high degree of numerical singularity, resulting in difficulty in solving. In this paper, the derivation of Green\u2019s function and the fast Hankel transformation are presented based on the basic principle of linear filtering method for Green\u2019s function of wide-area layered earth. A method of Multi-Precision Fast Hankel Transformation (MP-FHT) is proposed, which solves the problem of numerical singularity of integral kernel function in Green\u2019s function by multi-precision algorithm, thus ensuring the accuracy of Hankel integral. The accuracy and reliability of the MP-FHT are proved by comparison of MP-FHT, commercial software CDEGS and improved version of high-order complex image method (HCIM). Compared with the existing algorithms, this method has high precision and low difficulty in algorithm implementation, which is a new method with high practical value.<\/jats:p>","DOI":"10.3233\/jcm-225941","type":"journal-article","created":{"date-parts":[[2022,3,1]],"date-time":"2022-03-01T13:27:02Z","timestamp":1646141222000},"page":"845-856","source":"Crossref","is-referenced-by-count":0,"title":["Using the multi-precision fast Hankel transformation to calculate the constant current field of wide-area layered earth"],"prefix":"10.66113","volume":"22","author":[{"given":"Bichuan","family":"Xu","sequence":"first","affiliation":[{"name":"State Grid Jiangxi Electric Power Research Institute, Nanchang, Jiangxi, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhuohong","family":"Pan","sequence":"additional","affiliation":[{"name":"North China Electric Power University (Baoding), Baoding, Hebei, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuting","family":"Liu","sequence":"additional","affiliation":[{"name":"State Grid Jiangxi Electric Power Research Institute, Nanchang, Jiangxi, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tao","family":"Tong","sequence":"additional","affiliation":[{"name":"State Grid Jiangxi Electric Power Research Institute, Nanchang, Jiangxi, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hua","family":"Wan","sequence":"additional","affiliation":[{"name":"State Grid Jiangxi Electric Power Research Institute, Nanchang, Jiangxi, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Leilei","family":"Zeng","sequence":"additional","affiliation":[{"name":"State Grid Jiangxi Electric Power Research Institute, Nanchang, Jiangxi, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tangbing","family":"Li","sequence":"additional","affiliation":[{"name":"State Grid Jiangxi Electric Power Research Institute, Nanchang, Jiangxi, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Tong","sequence":"additional","affiliation":[{"name":"State Grid Jiangxi Electric Power Research Institute, Nanchang, Jiangxi, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guohua","family":"Long","sequence":"additional","affiliation":[{"name":"State Grid Jiangxi Electric Power Research Institute, Nanchang, Jiangxi, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"55691","reference":[{"issue":"7","key":"10.3233\/JCM-225941_ref1","doi-asserted-by":"publisher","first-page":"2331","DOI":"10.13336\/j.1003-6520.hve.20170628031","article-title":"Computation for wide-area direct current distribution of power grids considering deep earth resistivity","volume":"43","author":"Wen","year":"2017","journal-title":"High Voltage Engineering."},{"issue":"2","key":"10.3233\/JCM-225941_ref2","doi-asserted-by":"publisher","first-page":"381","DOI":"10.13335\/j.1000-3673.pst.2017.2192","article-title":"Influence prediction and suppression research of dc bias in eastern Junggar-Southern Anhui \u00b1 1100\u00a0kV UHVDC receiving-end grid","volume":"42","author":"Yang","year":"2018","journal-title":"Power System Technology."},{"issue":"11","key":"10.3233\/JCM-225941_ref3","doi-asserted-by":"publisher","first-page":"3604","DOI":"10.13336\/j.1003-6520.hve.2015.11.012","article-title":"Influence of the track-to-earth resistance of subway on stray current distribution","volume":"41","author":"Cai","year":"2015","journal-title":"High Voltage Engineering."},{"issue":"5","key":"10.3233\/JCM-225941_ref4","doi-asserted-by":"publisher","first-page":"1295","DOI":"10.13335\/j.1000-3673.pst.2016.05.001","article-title":"Impact of geoelectric field direction and ac system structure on geomagnetically induced currents in \u00b1 800 kV Mengxi convertor station","volume":"40","author":"Liu","year":"2015","journal-title":"Power System Technology."},{"issue":"7","key":"10.3233\/JCM-225941_ref5","doi-asserted-by":"publisher","first-page":"2464","DOI":"10.13336\/j.1003-6520.hve.2015.03.012","article-title":"Mitigation of transformer dc bias in complicated operation conditions","volume":"41","author":"Quan","year":"2015","journal-title":"High Voltage Engineering."},{"issue":"12","key":"10.3233\/JCM-225941_ref6","doi-asserted-by":"publisher","first-page":"3900","DOI":"10.13336\/j.1003-6520.hve.20171127011","article-title":"Analysis of insulation methods to reduce influences of dc grounding electrode on pipeline","volume":"43","author":"Meng","year":"2017","journal-title":"High Voltage Engineering."},{"key":"10.3233\/JCM-225941_ref7","unstructured":"Zhang W. 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