Circuital modeling for cylinders with radial dependent conductivity and permittivity

For a cylinder with radially dependent permittivity and conductivity, we derive an equivalent circuit model whose elements are frequency independent resistances, inductances (self and mutual), and capacitances. The model is obtained by partitioning the system into shells which are thin enough so tha...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on magnetics 1994-09, Vol.30 (5), p.3044-3047
Main Author: Callarotti, R.C.
Format: Article
Language:English
Subjects:
Capacitance
Classical and quantum physics: mechanics and fields
Classical electromagnetism, maxwell equations
Classical field theories
Coils
Conductivity
Equivalent circuits
Exact sciences and technology
Frequency
Magnetic circuits
Magnetic fields
Permeability
Permittivity
Physics
Voltage
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:For a cylinder with radially dependent permittivity and conductivity, we derive an equivalent circuit model whose elements are frequency independent resistances, inductances (self and mutual), and capacitances. The model is obtained by partitioning the system into shells which are thin enough so that the spatial variation of electric and magnetic fields is negligible over their cross section. In order to validate the model, the electromagnetic response of the cylinder is determined from the field equations. These are solved numerically and the results are compared with the response of the equivalent circuits. As the number of shells is increased, the equivalent circuit response for sinusoidal excitations approaches the exact electromagnetic response for all values of exciting frequency.< >
ISSN:0018-9464
1941-0069
DOI:10.1109/20.312579