The analysis of non-stationary thermal modes of overhead power lines with the non-linearity of heat transfer processes and climatic factors

Abstract

There is obtained analytical solution of nonlinear differential equations in nonstationary thermal mode of operation of the noninsulated wire under the conditions of forced convection. This solution produces a lowering of the degree of temperature of the wire by the method of least squares. One proposed the equations based on the solution for calculating the average temperature and energy losses for an arbitrary period of time in a non-insulated wire. A special feature of the analytical solutions is its general character. In contrast to the ways of numerical studies of thermal modes the analytical form simplifies the implementation of the processes of analysis tasks. A comparison of the wire temperature calculation results of the developed method with the data of experimental investigations of temperature at different wind speeds is completed. A satisfactory matching between the results subject to the same conditions of the providence of the experiment and calculation is completed. Comparison of results showed good agreement between them subject to the same conditions.