The statistical enlargement law for HVDC cable lines part 1: theory and application to the enlargement in length

In this investigation the innovative enlargement law for HVDC cables, developed by the authors, is illustrated and applied extensively. In the present Part 1 of the investigation, the theoretical approach to the derivation of the enlargement law for HVDC cables is reported, with a broader and more rigorous formulation and a deeper insight compared to the first proposals by the same authors. Later on, the theoretical approach is applied to different volume enlargements relevant to mass impregnated and extruded cables, focusing mainly on cable line length. These are typical examples of the enlargements that designers may be asked to consider in practice when dealing with R&D activities that have a particular HVDC cable line project as their ultimate goal. Such examples also lead to single out some important aspects relevant to the complex function H<;sub>DC<;/sub>, associated with the enlargement over cable radius. This latter enlargement is deeply analyzed via several case-studies in paper Part 2 of this study.