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RESEARCH PRODUCT
Mutual inductance for an explicitly finite number of turns
J. T. Conwaysubject
analytical expressions exponential factors finite number geometric progressions mutual inductance numerical results representative case thin solenoids bessel functions electric windings solenoids inductanceVDP::Technology: 500::Electrotechnical disciplines: 540description
Published version of an article published in Progress In Electromagnetics Research B, 28, 273-287. Also available from the publisher at http://www.jpier.org/pierb/pier.php?paper=10110103 Non coaxial mutual inductance calculations, based on a Bessel function formulation, are presented for coils modelled by an explicitly finite number of circular turns. The mutual inductance of two such turns can be expressed as an integral of a product of three Bessel functions and an exponential factor, and it is shown that the exponential factors can be analytically summed as a simple geometric progression, or other related sums. This allows the mutual inductance of two thin solenoids to be expressed as an integral of a single analytical expression. Sample numerical results are given for some representative cases and the approach to the limit where the turns are considered to be smeared out over the solenoid windings is explored.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 |