Electromagnetic interaction force between two noncoaxial circular coils

Benhaim, Alon; Shapira, Osher; Elata, David

doi:10.1016/j.mechatronics.2015.07.009

Cited by 3 publications

(1 citation statement)

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“…This is a rather time-consuming calculation due to the large number of filaments, and each interaction means a new integral to be calculated. Benhaim et al (2015) did not include the well-known expressions based on elliptic integrals for the field of a circular ring (Stafl, 1967), leading to a huge computational complexity. Hannakam (1967) found a solution for the mutual inductance of co-axial cylindrical coils based on Bessel-functions.…”

Section: Historymentioning

confidence: 99%

Mutual inductance and forces between two non-coaxial co-planar circular thin-wall air coils

Compter¹

2019

COMPEL

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Purpose This paper aims to present new analytical expressions for the mutual inductance and forces between non-coaxial co-planar circular thin-wall air coils. Design/methodology/approach The expressions are based on an integration method found in the literature, so far used only to describe mutual inductances. It is new to apply this method as a starting point to get the forces between non-coaxial co-planar rings and coils. The approach is further extended to include non-coaxial co-planar thin-wall cylindrical coils. Findings This new method enables interaction modelling between coils by solving integrals numerically, covering fully, partially and non-overlapping coils in a single form. The expressions are verified by comparing the results with alternatives methods. Research limitations/implications The forces and mutual inductances of non-coaxial co-planar circular coils are obtained with analytical expressions, fitted well for optimization studies. The study is limited to coils in free air. Practical implications A typical application is the interaction between coils in a wireless energy transfer system (as applied for battery loading for mobile phones and automotive). The expressions can be used to also predict the forces between two non-coaxial disk or ring magnets as used in magnetic levitation systems. Originality/value Maxwell described the coupling between two coaxial co-planar rings, and steadily more and more equations describing the interaction between circular coils became available in the past decades. The target of this study is to obtain compact equations for non-coaxial co-planar circular coils. This is realized with the combination of existing literature and mathematical modelling tools.

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Section: Historymentioning

confidence: 99%

Mutual inductance and forces between two non-coaxial co-planar circular thin-wall air coils

Compter¹

2019

COMPEL

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Improving the magnetic field homogeneity by varying magnetic field structure in a geophone

Wang

Yao

et al. 2018

Review of Scientific Instruments

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The magnetic field structure is a key factor that affects performance of the magneto-electric geophone. In order to enhance the magnetic field homogeneity and magnetic induction intensity of the magnetic field structure, this paper proposes a new magnetic field structure. It consists of two cylindrical permanent magnets: an H-type magnetic boot and an external magnetic yoke. The proposed magnetic field structure can broaden the range of a uniform magnetic field and increase the magnetic field intensity of working air-gap. To confirm the validity of the design, the finite element analysis and real measurement experiments were conducted. The finite element simulations using the ANASYS Electromagnetics Suite 17.2.0 showed that the air-gap magnetic induction intensity is increased and the work space with a uniform magnetic field is broadened. Meanwhile, the output voltage of the coil is increased, and the harmonic distortion rate of output voltage is reduced. According to the real measurement experimental results, compared with the traditional magnetic field structure, the uniform range of the magnetic field is improved 23% in the entire air-gap path, and the magnetic induction intensity enhances 24% over the proposed new magnetic field structure.

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