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Analytical expression of equivalent transverse magnetic permeability for three-core wire armoured submarine cables

机译：三芯铠装海底电缆等效横向磁导率的解析表达式

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As three-core wire-armoured submarine cables become progressively more relevant, the need for refined modelling techniques grows likewise. IEC Standard 60287 indications though are still widely recognized to be insufficiently accurate, since several effects due to the presence of the collective wire armour are ignored. This paper therefore offers an insight into the induced losses mechanism as a function of the armour wires electromagnetic properties. The analysis is focused on the influence of the armour transverse permeability, whose overall resultant value is estimated by means of a simplified yet effective formulation. Such analytical approach is tested in a 2D FEM environment in terms of power losses distribution and compared both to the IEC indications and to an existing formula in the literature. It is found that the values of permeability proposed by the IEC Standard underestimate the induced sheath power losses due to the presence of the armour, whereas the proposed approach improves the accuracy, as the magnetic flux density enhancement within the cable is accounted for.
机译：随着三芯钢丝铠装海底电缆变得越来越重要，对精巧建模技术的需求也在增长。虽然仍然忽略了IEC标准60287指示的准确性，因为忽略了由于集体电线铠装的存在而产生的多种影响。因此，本文提供了有关作为铠装线电磁特性的函数的感应损耗机理的见解。分析集中在装甲横向渗透率的影响上，该装甲横向渗透率的总结果通过简化而有效的公式估算。这种分析方法已在2D FEM环境中进行了功率损耗分布测试，并与IEC指示和文献中的现有公式进行了比较。已经发现，IEC标准提出的磁导率值低估了由于铠装的存在而引起的护套功率损耗，而提出的方法则提高了准确性，因为考虑了电缆内的磁通密度增加。

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