Second and Third Order Electric Field Formulae Induced by Uniform ELF Magnetic Field in Eccentric Two Spherical Conductors

• Masutani Keigo

  Kyoto University

• Hamada Shoji

  Kyoto University

• Kobayashi Tetsuo

  Kyoto University

Bibliographic Information

Other Title

• 低周波一様磁界中における偏心二導体球内の誘導電界二次・三次解析式
• テイシュウハ イチヨウ ジカイチュウ ニ オケル ヘンシン 2 ドウタイキュウナイ ノ ユウドウ デンカイ 2ジ 3ジ カイセキシキ

Abstract

This paper describes analyses of electric fields in eccentric two spherical conductors induced by a uniform ELF magnetic field utilizing the equivalent multipole-moment method with re-expansion technique (RE-EMMM). Although an approximated formula has already been derived by Tarao in this situation, it has been limited to the first order approximation. Here, the authors mathematically derive a general expression of governing linear equation for unknown multipole and local coefficients. Furthermore, we derived the first, second, and third order electric field formulae by manually solving the linear equations. It is confirmed that the accuracy of the first order formula is almost the same to that of Tarao's. On the other hand, the accuracies of the second and third order formulae are confirmed to be more precise.

Journal

• IEEJ Transactions on Fundamentals and Materials

  IEEJ Transactions on Fundamentals and Materials 128 (12), 710-720, 2008

  The Institute of Electrical Engineers of Japan

Keywords

• ELF magnetic field
• induced electric field
• analytic formulae
• eccentric spheres

Details

• CRID: 1390282679569806848
• NII Article ID: 10024470342
• NII Book ID: AN10136312
• DOI: 10.1541/ieejfms.128.710
• ISSN: 13475533
• ISSN: 03854205
• NDL BIB ID: 9730777
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9730777
• Web Site: http://www.jstage.jst.go.jp/article/ieejfms/128/12/128_12_710/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed