中压交联聚乙烯绝缘同轴电缆同心导体结构优化设计

    Optimization Design of Coaxial Cable with Medium Voltage Cross-Linked Polyethylene Insulation and Concentric Conductor Structure

    • 摘要: 针对当前中压交联聚乙烯绝缘同轴电缆同心导体设计中,因结构参数与导体前外径强耦合、缺乏标准方法而导致的盲目性问题,文中提出一种定量化的结构优化设计体系。该方法以绞入率(λ)和单线电阻率确定同心导体电阻率,结合GB/T 3956—2008《电缆的导体》规定的直流电阻计算理论截面积,并根据绞线层数、缆芯外径与理论截面积的几何关系,推导单线直径(d)与根数(n)的解析解。以240 mm2规格电缆为研究对象,应用该体系获得优化方案:n=33根,d=2.98 mm,λ=1.028。实测验证表明:导体实际截面积为236.1 mm2,直流电阻为0.0750 Ω·km−1,电阻率为17.698 Ω·mm2·km−1,各项指标均优于标准要求,且电阻率波动仅为0.15%。文中构建的“电-几何”一体化设计模型,明确了关键参数的量化关联,有效解决了传统经验设计的盲目性,为同轴电缆同心导体的标准化设计与工艺控制提供了可靠的理论依据和技术工具,具有显著的工程应用价值。

       

      Abstract: To address blind spots in current concentric conductor design of medium voltage cross-linked polyethylene insulated coaxial cables, caused by lack of standardized methods and strong coupling between structural parameters and outer diameter of the conductor, a quantitative structural optimization design system was proposed in the paper. The method determined concentric conductor resistivity based on lay factor (λ) and single wire resistivity, calculated theoretical cross-sectional area using DC resistance specified in Conductors of Insulated Cables (GB/T 3956—2008), and derived analytical solutions for single wire diameter (d) and the number of wires (n) based on geometric relationship between the number of layers, outer diameter of cable core, and theoretical cross-sectional area. Taking a 240 mm2 cable as the research object, the system yielded an optimized solution: n=33, d=2.98 mm, λ=1.028. Measured verification showed: actual conductor cross-sectional area was 236.1 mm2, DC resistance was 0.0750 Ω·km−1, and resistivity was 17.698 Ω·mm2·km−1. All indicators could exceed standard requirements, with resistivity fluctuation limited to only 0.15%. The "electrical-geometric" integrated design model developed in the paper clarified quantitative correlation of key parameters, effectively resolving blindness of traditional empirical design, which could provide a reliable theoretical basis and technical tool for standardized design and process control of coaxial cable concentric conductors, demonstrating significant engineering application value.

       

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