Evaluation of capacitance with prescribed accuracy adaptive method based on exact error estimation

Abstract

This paper presented an adaptive method for a two-dimensional electrostatic analysis of air-filled two-conductor lines. The method is based on exact error estimates, and thus enables the evaluation of capacitance within prescribed accuracy limits. For the example of a transmission line consisting of square conductors considered, the characteristic impedance was estimated to be Z=75 ohms with a predefined relative error of less than /spl delta//sub max/=10/sup -6/. The method can be generalized to two-dimensional and three-dimensional electrostatic analysis of arbitrary systems of conducting bodies in free space.