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Journal ArticleDOI

Fringing Field Formulas and Winding Loss Due to an Air Gap

W.A. Roshen
- 23 Jul 2007 - 
- Vol. 43, Iss: 8, pp 3387-3394
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TLDR
In this paper, a simple treatment for the fringing fields of an air gap in the core of a magnetic component such as an inductor or a transformer is described, and the authors verify the derived analytical formulas for the fields by using numerical (finite-element) calculations.
Abstract
The paper describes a simple treatment for the fringing fields of an air gap in the core of a magnetic component such as an inductor or a transformer. It verifies the derived analytical formulas for the fields by using numerical (finite-element) calculations. It then applies these formulas to the calculation of high-frequency eddy-current losses for two types of winding arrangements, both of which employ thin rectangular conductors. The rectangular conductors are commonly used in flex circuit windings, printed circuit windings, and thin-film windings. The two types of winding configurations are flat and barrel wound. Each behaves in a different way as a function of the position of the conductor.

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References
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TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
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Electromagnetic fields and waves

TL;DR: In this paper, the authors discuss Electromagnetic fields and waves and their relationship with the electromagnetic field and wave propagation, and propose a method to detect electromagnetic fields and wave formation.
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Soft ferrites: properties and applications

TL;DR: Ferrites - their nature, preparation and processing the expression of electrical and magnetic properties properties of some manganese zinc and nickel zinc ferrites magnetic circuit theory inductors high frequency inductors wide band transformers pulse transformers and inductors power transformers.