Analytical Solution of a Multi-Winding Coil Problem With an Air Core in Spherical Coordinates

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YILDIZ H., UZAL E., Calik H.

JOURNAL OF POLYTECHNIC-POLITEKNIK DERGISI, cilt.27, ss.255-261, 2024 (ESCI, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2339/politeknik.1052918
  • Dergi Adı: JOURNAL OF POLYTECHNIC-POLITEKNIK DERGISI
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.255-261
  • Anahtar Kelimeler: Magnetic field, Maxwell?s equations, mutual inductance, spherical coordinates, MUTUAL INDUCTANCE, CIRCULAR COILS, MAGNETIC-FIELD, MOTOR
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

In this study, electromagnetic fields and mutual inductance of two interacting coils were computed analytically, and the results were compared with numerical solutions and measurements. For the analytical solution, the fields were expressed in spherical coordinates in each coil's frame. The total field due to two coils was calculated using superposition, resulting in infinite series involving associated Legendre functions. The numerical computations were carried out by finite element analysis capabilities of ANSYS Maxwell. At the end, the self-inductances and the mutual inductance coefficients between the coils (which depend on the angle between the coils) were computed. The results (analytical, finite element method, and the measurements) were compared, obtaining good agreement for various relative positions of the coils.