Modelling of maximum temperatures in aerial bundled cables feeding domestic loads using the beta probability distribution function

A method for the thermal sizing of aerial bundled cables (ABCs) feeding stochastic domestic electrical loads is presented in this paper. This method is based on an algorithm from an International Electrotechnical Commission (IEC) publication, but uses an adapted form of Morganʹs method for calculating the external thermal resistance. The beta distribution of grouped loads is incorporated in the thermal sizing algorithm. A beta thermal model is calculated, from which size selections of ABCs can be made. The resulting approach is an improvement on previous methods which use the after-diversity maximum demand for describing the load.