Temperature and Current Density Distribution in a Bimetallic Conductor Through a Coupled Model

摘要

In this paper, we analyze theoretically the conduction heat transfer that results from an alternating electrical current that flows continuously in an aluminum conductor steel reinforced (ACSR), taking into account that the electrical resistivity is a linear function of temperature. This effect, necessarily produce a situation that forces us to analyze simultaneously the electrical and thermal effects in both materials. In this way we obtain a thermo-electric model. In this way, and by simultaneous numerical solution of Maxwell's equations and heat diffusion equation, it is possible to determine both the current density distribution and the temperature gradients during its transient state. Also, we show the influence of the steel core on the current density and temperature distributions. The results are presented in dimensionless form, in order to reduce the number of physical variables involved. In particular, we show the influence of the skin effect and the variation of the resistivity with temperature on current density and temperature gradients. The above shows that the electrical operation of the networks is subject to several factors that may make more difficult the full utilization of electrical transport.