Analytic Solution for Variations of Magnetic Fields in Closed Circuits: Examination of Deviations from the 'Standard' Ampere's Law Equation

Umenei, A. E., Melikhov, Yevgen ORCID: https://orcid.org/0000-0002-9787-5238 and Jiles, David 2011. Analytic Solution for Variations of Magnetic Fields in Closed Circuits: Examination of Deviations from the 'Standard' Ampere's Law Equation. IEEE Transactions on Magnetics 47 (4) , pp. 734-737. 10.1109/TMAG.2011.2105884

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Abstract

The calculation of magnetic fields in devices with a nonuniform distribution of magnetomotive force (MMF) and with nonlinear magnetic components has proven problematic within electromagnetic systems. This is caused by insufficiently precise determination of the dependence of magnetic induction , on magnetic field . This paper develops a method for analytically calculating the variation of magnetic fields , in magnetic circuits by introducing a specific expression into to the Ampere’s circuital law formula to take into account nonuniform MMF. The new formula uses a conformal mapping procedure which allows calculation of the magnetic field at different displacements from the field generating coil. The analytic approximation proposed is developed for the specific problem of a closed circuit magnetic core. This analytic model gives accurate results faster than can be achieved in FEM software.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	Ampere’s law equation, FEM simulation, ferromagnetic cores, magnetic field distribution, magnetic modeling
Publisher:	Institute of Electrical and Electronics Engineers
ISSN:	0018-9464
Last Modified:	06 Jul 2023 02:16
URI:	https://orca.cardiff.ac.uk/id/eprint/17027

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