Analytic solutions for capacitance of cylinders near a dielectric interface

Though there is no exact analytic solution for the capacitance between two cylinders near a dielectric interface, the method of images is used to derive analytic expressions that are accurate for widely separated cylinders, cylinders in close proximity, and widely separated cylinders near a dielectr...

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Bibliographic Details
Published in:IEEE transactions on dielectrics and electrical insulation 2010-12, Vol.17 (6), p.1877-1883
Main Author: Mazzeo, B A
Format: Article
Language:English
Subjects:
Approximation methods
Capacitance
Computer simulation
Cylinders
dielectric materials
dielectric measurements
Dielectrics
Electrical insulation
Equations
Exact solutions
Mathematical model
Mathematical models
Method of images
Numerical simulation
Permittivity
Solenoids
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Summary:Though there is no exact analytic solution for the capacitance between two cylinders near a dielectric interface, the method of images is used to derive analytic expressions that are accurate for widely separated cylinders, cylinders in close proximity, and widely separated cylinders near a dielectric interface. These solutions are compared with numerical simulations to verify the utility of the derived expressions. The necessity for numerical simulation in the general case is demonstrated. These analytic solutions can be incorporated into self-capacitance terms for solenoids and transmission lines.
ISSN:1070-9878
1558-4135
DOI:10.1109/TDEI.2010.5658241