Calculation of Capacitances and Inductances of Ring Conductors in a Stratified Medium

The paper presents an accurate and efficient method for calculating the capacitances and the inductances of thick-ring conductors in a stratified medium. These parameters are evaluated from the charges and the currents found from two separate surface integral equations using the Galerkin method. The relevant Green's functions are written in a spatial-spectral hybrid form, and the hybrid method is pursued further to the evaluation of the respective system matrix elements. The charges and the currents are estimated by using entire-domain basis functions including the physically correct edge behaviour of the distributions on the conductors with a rectangular cross-section.

Keywords:

• capacitance
• inductance
• ring conductor
• electrostatic surface integral equation
• magnetostatic surface integral equation
• spatial-spectral hybrid method
• entire-domain basis functions
• edge singularity

Acknowledgment

The authors would like to thank Professor J. Sarvas for insightful comments and valuable ideas.