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A calculation method of the mutual and self‐inductances generated by currents on a cylinder
Author(s) -
Yoda Kiyoshi
Publication year - 1991
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.4391110401
Subject(s) - solenoidal vector field , inductance , fourier series , bessel function , cylinder , mathematical analysis , fourier transform , mathematics , neumann series , physics , geometry , quantum mechanics , voltage , vector field
Conventional calculation methods of aircore inductance utilized Neumann's equation for solenoidal coils and Fourier series for saddle coils. However, inductance formulas for arbitrarily shaped coils on a cylinder have not been well known. In this paper, mutual and self‐inductances generated by any currents on a cylinder are expressed using Fourier‐Bessel expansion of the vector potential. An experiment shows the validity of the proposed formulas.