Analytic Solution of the Magnetic Field and Inductance in a Coaxial Short Circuit

Author

Hogas, Marcus ; Rydler, Karl-Erik ; Stenarson, Jorgen ; Yhland, Klas

Author_Institution

SP Tech. Res. Inst. of Sweden, Boras, Sweden

Volume

64

Issue

6

fYear

2015

fDate

Jun-15

Firstpage

1582

Lastpage

1587

Abstract

In this paper, the analytic solution of the magnetic field and the inductance in a coaxial short circuit is derived from Maxwell´s equations with the appropriate boundary conditions on the short circuit. Helmholtz equation is thus derived for the magnetic field and is solved by a mode matching technique. By integrating the absolute square of the magnetic field the inductance is obtained. The solution is discussed in the light of earlier approximations and solutions and is evaluated both theoretically and through measurements.

Keywords

Helmholtz equations; Maxwell equations; electric impedance measurement; inductance measurement; magnetic fields; mode matching; short-circuit currents; Helmholtz equation; Maxwell´s equations; appropriate boundary conditions; coaxial short circuit; impedance measurement; inductance; magnetic field; mode matching technique; Approximation methods; Boundary conditions; Connectors; Frequency measurement; Inductance; Power transmission lines; Transmission line measurements; Analytic solution; coaxial; impedance; impedance measurements; impedance standards; inductance; short circuits; skin depth; skin depth.;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/TIM.2015.2416455

Filename

7087354