Effect of a conducting shield on the inductance of an air-core solenoid

Author

Simpson, Ted L.

Author_Institution

Dept. of Electr. & Comput. Eng., South Carolina Univ., Columbia, SC, USA

Volume

35

Issue

1

fYear

1999

fDate

1/1/1999 12:00:00 AM

Firstpage

508

Lastpage

515

Abstract

A magnetostatic integral equation for the current induced by a solenoidal inductor in the conducting wall of a closed, perfectly conducting cylindrical shield was solved by the method of moments and point matching. The induced current was then used to determine the self-inductance of the solenoid. A chart of the ratio of the shielded inductance to that in free space was produced to aid in the design of practical air-core inductors. In addition, Wheeler´s well-known formula for the free-space inductance of a single-layer solenoid was shown to be sufficiently accurate to serve as a basis for the design of practical coils if the effect of the shield, available from the chart, is included

Keywords

inductance; inductors; integral equations; magnetostatics; method of moments; shielding; solenoids; Wheeler formula; air-core inductors; air-core solenoid; conducting shield; free-space inductance; induced current; magnetostatic integral equation; method of moments; perfectly conducting cylindrical shield; point matching; self inductance; shielded inductance; single-layer solenoid; Coils; Frequency; Inductance; Inductors; Integral equations; Magnetic flux; Magnetic shielding; Magnetostatics; Solenoids; Toroidal magnetic fields;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.737474

Filename

737474