Toward Optimization of Insulation between Two Concentric Spheres

Abstract

This article considers the problem of increasing the electric strength of a high-voltage structure corresponding to a segment of the concentric capacitor. In such a capacitor with radii r0 and r m > r0 determining the insulation clearance with the value r m –r0 with dielectric capacity e0, the specified problem is solved using an additional insulation layer with the dielectric capacity e > e0 limited by the radii r0 and re < r m . A simple algorithm of calculation of the optimal thickness of this layer minimizing maximum intensity E m in the function of radii r0 and r m and relative capacity e/e0 > 2 is obtained. According to the calculations, the decrease of min E m can achieve several tens of percent. The obtained algorithm is also transformed into a synthesis algorithm of the thickness of the aforementioned layer providing the predetermined value min E m . The calculations of the optimal values of all dimensions of the capacitor in the function of the dielectric capacity of the layer and degree of intensity reduction E m are given in a form appropriate for practical use.