Calculation of power losses in electrical networks with probabilistic specification of loads

Abstract

The paper considers the problem of calculating the power losses in a power transmission line with a probabilistic reference taking into account the temperature dependence of the resistance. A computational formula for power losses is constructed. There is constructed and analyzed dependence on power in the regime of deterministic and mathematical expectation of losses from the mathematical expectation of the current. As a result of the analysis of these dependencies, it is found that calculating the power losses in probabilistic form using the Rayleigh distribution gives the best results for not very large currents. At currents close to the allowed value, the effect of the curve begins to be predicted, where it is impossible to establish thermal equilibrium.