WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 24, 2025
A Novel Semi - analytical Regular and Singular Solution for Calculating Mutual Inductance between Inclined Solenoids in Crossing or Contact Positions
Authors: ,
Abstract: In this paper, we introduce new formulas for calculating the mutual inductance between two
inclined solenoids positioned in free space. We employ the filament method to derive these calculations and
explore the optimal number of subdivisions for coil representations, balancing computational efficiency and
accuracy. Notably, we present the first calculations in the literature addressing singular cases where solenoids
intersect, acknowledging the theoretical implications of these intersections despite their physical improbability.
Our results appear reasonable and may challenge engineers and physicists to evaluate their analytical and semianalytical
methods in this context. We provide examples illustrating both regular and singular cases,
demonstrating the applicability of our findings.
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Keywords: Inclined solenoids, mutual inductance, radial subdivisions of coils, axial subdivisions of coils,
singular cases, Gaussian numerical integration, complete elliptical integrals of the first and
second kind
Pages: 44-51
DOI: 10.37394/23202.2025.24.5