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 ε₀, the specified problem is solved using an additional insulation layer with the dielectric capacity ε > ε₀ limited by the radii r₀ and r_ε < 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 ε/ε₀ > 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.