基于多元回归分析的电缆烟密度结构尺寸影响因素及预测模型
Structural Size Influencing Factors and Predictive Model of Cable Smoke Density Based on Multiple Regression Analysis
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摘要: 为定量解析电缆结构尺寸对烟密度的影响机制并构建预测模型,本研究基于多元回归分析方法,以20 mm为临界尺寸划分数据集,系统探究了导体质量、硅橡胶质量及外径等参数的耦合作用规律。通过历史试验数据构建回归方程,结合F检验(p<0.05)与方差膨胀因子(VIF<5)筛选关键变量,结果表明:对于≥20 mm电缆,烟密度与导体质量呈正相关(β=0.011),与硅橡胶质量呈负相关(β=−0.045);对于<20 mm电缆,外径与硅橡胶质量的交互作用显著(β=−0.37),外径每增加1 mm需减少硅橡胶用量5%以抑制烟密度激增。模型验证显示预测误差≤2%(R2>0.97),可为企业材料选型与结构优化提供定量设计工具。本研究突破了传统定性分析的局限性,为智能算法驱动的电缆防火性能精准设计奠定了基础。Abstract: To quantitatively analyze the influence mechanisms of cable structural dimensions on smoke density and establish predictive models, this study employed multiple regression analysis, dividing datasets with a critical diameter threshold of 20 mm, and systematically investigated the coupling effects of conductor weight, silicone rubber weight, and outer diameter. Regression equations were constructed based on historical experimental data, with key variables screened through F-tests (p<0.01) and variance inflation factors (VIF<5). The results indicate that for cables ≥20 mm, smoke density exhibits a positive correlation with conductor weight (β=0.011) and a negative correlation with silicone rubber weight (β=−0.045). For cables <20mm, the interaction between outer diameter and silicone rubber weight is significant (β=−0.37), requiring a 5% reduction in silicone rubber usage per 1mm increase in outer diameter to suppress smoke density escalation. Model validation demonstrates prediction errors within ±2% (R2>0.97), providing enterprises with a quantitative design tool for material selection and structural optimization. This study transcends the limitations of traditional qualitative analysis and lays the foundation for intelligent algorithm-driven precision design of cable fire safety performance.
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