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导光管传输效率与其长径比关系分析

Analysis of the Relationship between the Transmission Efficiency of Light Pipes and Its Aspect Ratio

  • 摘要: 目前,导光管传输效率与其长径比定量关系的研究尚不充分,导致在建筑设计阶段对最优长径比的选择缺乏明确依据。本文聚焦于导光管传输效率与长径比之间的函数关系,以广州地区的纬度特征和光气候条件为背景,在标准阴天环境下,利用HOLIGILM软件对16组不同长径比工况下的导光管传输效率进行模拟计算,并通过回归分析建立其数值关系模型。结果表明,导光管内壁反射率越高,光在多次反射过程中的能量损耗越小,越能有效抑制因长径比增大而导致传输效率的下降。导光管传输效率与长径比呈指数负相关,且拟合优度(决定系数R2)均高于0.99,显示出良好的模型解释能力。该结论为导光管在设计阶段的参数优化提供了理论支持,有助于提升其在建筑采光系统中的应用效果,研究结果为华南地区乃至相似纬度城市导光管设计提供了普适性参数。

     

    Abstract: Currently, research on the quantitative relationship between the transmission efficiency of light guide tubes and their aspect ratio is insufficient, leading to a lack of clear basis for selecting the optimal aspect ratio during the architectural design phase. This paper focuses on the functional relationship between the transmission efficiency of light guide tubes and their aspect ratio. Based on the latitude characteristics and light climate conditions of the Guangzhou region, under standard overcast conditions, the transmission efficiency of light guide tubes under 16 different aspect ratio conditions was simulated using HOLIGILM software, and a numerical relationship model was established through regression analysis. The results indicate that a higher internal reflectance of the light pipe reduces energy loss during multiple reflections, thereby effectively mitigating the decline in transmission efficiency caused by increasing aspect ratio (L/D). A strong exponential negative correlation is observed between transmission efficiency and aspect ratio, with coefficients of determination (R2) exceeding 0.99, demonstrating excellent model interpretability. These findings provide theoretical support for parameter optimization during the design phase and contribute to improving the performance of light pipes in building daylighting systems. The results offer valuable guidance for light pipe design in South China and other regions at similar latitudes.

     

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