Mathematical Modeling of Permissible Thermoelastic Stress Distribution in Optical Elements of Electrical Power Systems

Mathematical models have been developed to describe the thermal influence of a strip electron beam (SEB) on optical elements, taking into account the results of beam sensing, the geometric shape and dimensions of the elements, as well as the temperature dependence of the thermophysical properties of the optical material (volumetric heat capacity and thermal conductivity coefficient), which makes it possible to more accurately calculate the temperature and thermoelastic stress distributions across the thickness of the optical element in the regions of maximum external SEB influence. The proposed models make it possible to more accurately calculate the effect of controllable parameters of the electron-beam installation (beam current, accelerating voltage, distance to the treated surface, and SEB scanning speed) on the distribution of thermoelastic stresses across the thickness of the elements and to determine the permissible ranges of their variation, the exceedance of which leads to the destruction of the elements and failure of electrical power system components based on them. This makes it possible to increase the efficiency of final surface treatment of optical components made of optical ceramics using SEB technology, with the aim of improving the mechanical strength of their surface layers, which ultimately enhances the reliability, safety, and stable operation of electrical power system components under extreme electrical and thermal loads.