Mutual inductance calculation between arbitrarily positioned rectangular filaments

Abstract

The mutual inductance between the transmitted and received coils is an important parameter in the inductively coupled wireless power transmission system. The relative position between the linked coils may be arbitrary according to the applications. In this paper the analytical calculation of the mutual inductance between two arbitrarily positioned rectangular filaments is proposed based on a more general expression of mutual inductance calculation of two arbitrarily positioned straight filaments than Grover's. The calculation results are validated by using the finite element simulation tools. The previous published approximation methods for square coils in the coaxial, lateral misalignment or angular misalignment situations are verified that they are accurate when the two coils' relative distances are large.

Analytical solutions for the self‐ and mutual inductances of arbitrary triangular coils with rectangular cross‐section

“…It can be seen that the description of triangular coils in (18), (16) and (13) is obviously different from that of circular coils and rectangular coils in the existing literature. The triangular coils are described only by Λ, which is related to the vertex coordinate (x i , y i ) and edge direction (α i , β i ).…”

“…On the contrary, the research on another shape of coils is relatively less. The investigated object generally includes spiral rectangular coils [17], rectangular filamentary coils [18], air core square filamentary coils [19] and so on.…”

Planar Body-Mounted Sensors for Electromagnetic Tracking

“…In order to generalise Equation ( 6 ), and may be defined with a positive sign if the prolongation towards point P is directed as the filament, negative otherwise [ 38 ].…”