Nonlinear three-port magnetic-circuit elements for simulating bending magnets
ISSN: 0332-1649
Article publication date: 2 January 2018
Abstract
Purpose
The purpose of this paper is to show that constructing magnetic equivalent circuits (MECs) for simulating accelerator magnets is possible by defining a three-port magnetic element for modelling the T-shape field distribution, where the flux leaves the yoke and enters the aperture.
Design/methodology/approach
A linear three-port magnetic element is extracted from an analytical field solution and can be represented by a number of two-port elements. Its nonlinear counterpart is obtained as a combination of the corresponding nonlinear two-port elements. An improved nonlinear three-port element is developed on the basis of an embedded nonlinear one-dimensional finite element model.
Findings
The T-shaped field distribution comes together with a complicated interplay between the saturation of the ferromagnetic yoke parts and flux leaking to the aperture. This is more accurately modelled by the improved nonlinear three-port magnetic element.
Research limitations/implications
MECs have a limited validity range, especially for configurations where a high saturation level and fringing flux effects coexist.
Practical implications
The results of the paper appeal to be careful with applying nonlinear MECs for simulating bending magnets.
Originality/value
A new nonlinear three-port magnetic element for ferromagnetic yoke parts with T-shaped flux distribution has been developed.
Keywords
Acknowledgements
The authors thank Sebastian Schöps and Idoia Cortes Garcia for support with the OCS software. The authors also thank Radoslav Jankoski for the careful proofreading of the manuscript.
Citation
De Gersem, H., Srinivasan, V. and Muehle, C. (2018), "Nonlinear three-port magnetic-circuit elements for simulating bending magnets", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 37 No. 1, pp. 266-279. https://doi.org/10.1108/COMPEL-12-2016-0526
Publisher
:Emerald Publishing Limited
Copyright © 2018, Emerald Publishing Limited