Babic, S. Mutual-Inductance Computation between Coaxial Thin Conical Sheet Inductor and the Circular Loop in Air. Appl. Sci.2023, 13, 6416.
Babic, S. Mutual-Inductance Computation between Coaxial Thin Conical Sheet Inductor and the Circular Loop in Air. Appl. Sci. 2023, 13, 6416.
Babic, S. Mutual-Inductance Computation between Coaxial Thin Conical Sheet Inductor and the Circular Loop in Air. Appl. Sci.2023, 13, 6416.
Babic, S. Mutual-Inductance Computation between Coaxial Thin Conical Sheet Inductor and the Circular Loop in Air. Appl. Sci. 2023, 13, 6416.
Abstract
The paper describes a new formula for calculating the mutual inductance between a thin conical sheet inductor and a filamentary circular loop, which are coaxial. The presented formula is derived semi-analytically using the complete elliptic integrals of the first, second, and the third kind, along with the integral term which will be solved numerically. The results are validated using double and single integration methods, as well as the semi-analytical formula. The mutual inductance between a thin wall solenoid and a filamentary circular loop can be obtained using the new formula for the conical coil and circular loop. Presented formulas can be useful in various applications, such as broadband RF and wireless power transfer systems that utilize conical inductors. Overall, the paper presents a valuable contribution to the field of inductor design and can be useful in various applications involving conical inductors.
Keywords
Mutual-inductance; Thin conical sheet inductor; Filamentary circular loop; Complete elliptical integrals of the first; second and third kind; Heuman Lambda function
Subject
Engineering, Electrical and Electronic Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
