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日光温室内太阳直射辐射阴影模型构建

Modeling of direct solar radiation shadows in Chinese solar greenhouses

  • 摘要: 太阳光线被日光温室围护结构及室内作物遮挡产生的阴影影响了温室太阳能的获取和贮存,准确预测此类遮阴影响对于日光温室热环境研究尤为重要。该研究综合温室结构参数、作物冠层高度与太阳运行规律,构建了山墙与作物在关键蓄热面(地面、北墙面)的协同阴影计算框架,提出了基于几何光学的阴影面积动态解析模型;采用实测数据对模型的计算结果进行了验证,并与商业软件SketchUp的模拟结果进行对比。结果表明:模型计算所得山墙在地面阴影面积与实测值相比,平均相对误差为0.3%;山墙在北墙面阴影面积的平均相对误差为6.8%;作物在温室过道阴影面积的计算结果与实测值完全吻合,作物在北墙面阴影面积的平均相对误差为1.6%。与SketchUp软件模拟结果对比显示:山墙在地面和北墙面阴影面积计算值与模拟值的最大相对误差分别为5.3%和6.1%,平均相对误差分别为2.3%和5.2%;作物在北墙面阴影面积的计算值与软件模拟值吻合度高,最大相对误差和平均相对误差分别为0.5%和0.2%;作物在温室过道阴影面积的计算结果与软件模拟结果一致。本模型突破离散近似法局限,揭示了阴影叠加机制,可精准量化太阳直射辐射在日光温室内的阴影,模拟结果可靠,为准确评估日光温室内太阳能的实际获取量及合理布置太阳能利用设施提供参考。

     

    Abstract: For passive Chinese solar greenhouses (CSGs), solar radiation serves as the primary internal energy source for winter production. The acquisition and storage of solar energy are significantly influenced by the complex, dynamic shadows cast by the greenhouse envelope (particularly the gable walls) and the growing crops inside. Therefore, accurately predicting these shading effects is critical for optimizing the thermal environment and energy efficiency of CSGs. This study established a comprehensive dynamic analytical model for the shadow area of direct solar radiation in CSGs. The model incorporates structural parameters (span, ridge height, length, azimuth), geographical factors (latitude, longitude), temporal variables (solar altitude, solar azimuth), and crop canopy height to simulate the dynamic evolution of shadow areas. It quantitatively characterizes the synergistic shading effects between the gable wall geometry and the dynamically changing crop canopy on key heat storage surfaces, specifically the ground and north wall. A key innovation of this study is the derivation of physical analytical solutions for the shadow boundaries of curved gable surfaces, thereby revealing the precise mechanism of shadow superposition. To balance calculation accuracy with computational efficiency, the model employs geometric simplification strategies: the shadow of the gable wall on the ground is approximated as a triangle, while its shadow on the north wall is approximated as a trapezoid. Additionally, the crop population is modeled as a homogeneous rectangular prism based on average canopy height. The theoretical results were rigorously cross-validated against both field measured data and simulations from the commercial software SketchUp. The experimental CSG is 60 m in length, 10.3 m in width, and 5 m in ridge height, with a north wall height of 3.2 m and an azimuth of 5° west of south. The south roof curve of the greenhouse is composed of two tangent arcs. Observation experiments on the gable wall and crop shadow were conducted on December 18, 2023 and December 11, 2024 from 09:00 to 12:00 respectively. Results indicated that for the gable wall shadow, the average relative errors between calculated and measured values were 0.3% on the ground and 6.8% on the north wall. For crop shadows, the calculated values on the rear aisle matched the measured values perfectly, while the average relative error on the north wall was 1.6%. Comparisons between the theoretical calculations and SketchUp simulations showed that the maximum relative errors for gable wall shadows were 5.3% (ground) and 6.1% (north wall), with average relative errors of 2.3% and 5.2%, respectively. The theoretical calculations for crop shadows on the rear aisle were consistent with the software simulations. The study also outlines future research directions, including incorporating north roof shading, improving boundary precision via high-precision 3D scanning or image recognition, and employing numerical integration methods to balance computational efficiency with accuracy. In conclusion, this study overcomes the inherent limitations of discrete numerical simulations by providing a deterministic mathematical solution. The proposed model not only improves computational efficiency through valid geometric simplifications but also offers a robust theoretical tool for the precise quantification of solar energy acquisition. These findings provide critical reference data for the rational arrangement of solar energy utilization facilities and the optimization of greenhouse structural designs to maximize thermal performance.

     

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