Predicting the magnetic field from twisted three-phase arrangement

Author

Pettersson, Per ; Schonborg, Niclas

Author_Institution

Vattenfall Utveckling AB, Stockholm, Sweden

fYear

1997

fDate

18-22 Aug 1997

Firstpage

513

Lastpage

517

Abstract

The low-frequency magnetic field in the vicinity of a twisted three-conductor arrangement carrying balanced three-phase current is studied by analytical methods. Formulae are derived for the field vector as function of observation point location, with pitch and radius of the helix as parameters. Exact analytical expressions are given for the field as function of time as well as for the effective value of the field components and the total field in form of Bessel-function series. The field vector is expressed in helical coordinates. Approximations for the field far away from the arrangement are given. Verifying measurements have been performed on a rig

Keywords

Bessel functions; approximation theory; conductors (electric); magnetic fields; transmission line theory; Bessel-function series; balanced three-phase current; field vector; helical coordinates; helix pitch; helix radius; low-frequency magnetic field; magnetic field prediction; observation point location; twisted three-phase conductor arrangement; Azimuth; Coaxial components; Equations; Frequency; Magnetic fields; Wires;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetic Compatibility, 1997. IEEE 1997 International Symposium on

Conference_Location

Austin, TX

Print_ISBN

0-7803-4140-6

Type

conf

DOI

10.1109/ISEMC.1997.667734

Filename

667734