Mutual inductance calculation between arbitrarily positioned rectangular filaments

Article type: Research Article

Authors: Cheng, Yuhua^{a; *} | Shu, Yaming^a

Affiliations: [a] Education Ministry Key Lab of RF Circuits and Systems, Hangzhou Dianzi University, Hangzhou, Zhejiang, China

Correspondence: [*] Corresponding author: Yuhua Cheng, Education Ministry Key Lab of RF Circuits and Systems, Hangzhou Dianzi University, Hangzhou, Zhejiang, China. Tel.: +86 571 8691 9079; E-mail: chengyh@hdu.edu.cn

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.

Keywords: Mutual inductance, rectangular filament, arbitrary position

DOI: 10.3233/JAE-141779

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 46, no. 1, pp. 287-298, 2014