The use of a relaxation method to calculate the 3D magnetic field contribution of an iron yoke

PDF Version Also Available for Download.

Description

A computational procedure has been developed for calculating the three-dimensional field produced by an axisymmetric iron yoke of high permeability in the presence of a system of conductors. The procedure is particularly applicable to the end regions of multipole magnets of the sort used in particle accelerators. The field produced by the conductors is calculated using the Biot-Savart law. We speak of the field contribution of the yoke as an image field'' although it is associated with a distinctly diffuse distribution of image currents or magnetic moments. At every point on the boundary of the yoke the total scalar potential ... continued below

Physical Description

Pages: (4 p)

Creation Information

Caspi, S.; Helm, M. & Laslett, L.J. July 1, 1991.

Context

This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 15 times . More information about this article can be viewed below.

Who

People and organizations associated with either the creation of this article or its content.

Sponsor

Publisher

Provided By

UNT Libraries Government Documents Department

Serving as both a federal and a state depository library, the UNT Libraries Government Documents Department maintains millions of items in a variety of formats. The department is a member of the FDLP Content Partnerships Program and an Affiliated Archive of the National Archives.

Contact Us

What

Descriptive information to help identify this article. Follow the links below to find similar items on the Digital Library.

Description

A computational procedure has been developed for calculating the three-dimensional field produced by an axisymmetric iron yoke of high permeability in the presence of a system of conductors. The procedure is particularly applicable to the end regions of multipole magnets of the sort used in particle accelerators. The field produced by the conductors is calculated using the Biot-Savart law. We speak of the field contribution of the yoke as an image field'' although it is associated with a distinctly diffuse distribution of image currents or magnetic moments. At every point on the boundary of the yoke the total scalar potential is constant, so V{sup i} = -V{sup d} where i=image and d=direct contribution from the conductors. If we describe both potentials as a series of harmonic components'' with respect to azimuthal dependence, then the nature of the boundary condition is such that a de-coupling of one harmonic component from another is preserved and therefore it is also true that V{sup i}(n)=-V{sup d}(n) at the iron interface, where n is a harmonic number. If we solve the appropriate individual differential equations for the scalar potential functions V{sup i}(n) throughout the iron-free region, with the proper applied boundary condition for the scalar potential of each harmonic number, we shall achieve upon summation the appropriate potential function to describe the field contribution of the surrounding high-permeability iron. 2 refs., 3 figs.

Physical Description

Pages: (4 p)

Notes

OSTI; NTIS; INIS; GPO Dep.

Source

  • 8. conference on the computation of electromagnetic fields, Sorrento (Italy), 7-11 Jul 1991

Language

Item Type

Identifier

Unique identifying numbers for this article in the Digital Library or other systems.

  • Other: DE92000860
  • Report No.: LBL-29826
  • Report No.: SC-MAG--317
  • Report No.: CONF-910762--1
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 5232426
  • Archival Resource Key: ark:/67531/metadc1070602

Collections

This article is part of the following collection of related materials.

Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

What responsibilities do I have when using this article?

When

Dates and time periods associated with this article.

Creation Date

  • July 1, 1991

Added to The UNT Digital Library

  • Feb. 4, 2018, 10:51 a.m.

Description Last Updated

  • April 25, 2018, 7:11 p.m.

Usage Statistics

When was this article last used?

Yesterday: 0
Past 30 days: 3
Total Uses: 15

Interact With This Article

Here are some suggestions for what to do next.

Start Reading

PDF Version Also Available for Download.

International Image Interoperability Framework

IIF Logo

We support the IIIF Presentation API

Caspi, S.; Helm, M. & Laslett, L.J. The use of a relaxation method to calculate the 3D magnetic field contribution of an iron yoke, article, July 1, 1991; [Berkeley,] California. (digital.library.unt.edu/ark:/67531/metadc1070602/: accessed December 12, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.