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日光温室内太阳直射辐射阴影模型构建

Modeling direct solar radiation shadows in Chinese solar greenhouses

  • 摘要: 为量化日光温室结构与作物共同作用下的动态遮阴过程,进而评估温室实际接收的太阳辐射,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,进一步印证了模型的可靠性。该模型突破离散近似法局限,揭示了阴影叠加机制,可精确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: Solar radiation can serve as the primary internal energy source for the winter production in the passive Chinese solar greenhouses (CSGs). 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, it is often required to accurately predict these shadings for the thermal environment and energy efficiency of the CSGs. In this study, a dynamic analytical model was established for the shadow area of the direct solar radiation in CSGs. The dynamic evolution of the shadow areas was determined to incorporate the structural parameters (span, ridge height, length, and azimuth), geographical factors (latitude and longitude), temporal variables (solar altitude and solar azimuth), and crop canopy height. A systematic investigation was implemented to quantitatively characterize the synergistic shading between the gable wall geometry and the dynamically changing crop canopy on the key heat storage surfaces, specifically the ground and north wall. The physical analytical solutions were derived for the shadow boundaries of the curved gable surfaces, thereby revealing the precise mechanism of the shadow superposition. The geometric simplification was employed to balance the computational accuracy and efficiency. Among them, the shadow of the gable wall on the ground was approximated as a triangle, while its shadow on the north wall was approximated as a trapezoid. Additionally, the crop population was assumed to be a homogeneous rectangular prism, according to the average canopy height. Both field-measured data and simulations were selected to validate the theoretical derivation using the commercial software SketchUp. The experimental CSG was 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 was 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 in 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. In crop shadows, the calculation on the rear aisle perfectly matched the measurement. The average relative error on the north wall was 1.6%. A comparison was made between the theoretical derivation and SketchUp simulation. The maximum relative errors for the gable wall shadows were 5.3% (ground) and 6.1% (north wall), with the average relative errors of 2.3% and 5.2%, respectively. The theoretical derivation for the crop shadows on the rear aisle was consistent with the software simulations. The future research directions were also outlined, including the north roof shading incorporation, boundary precision via high-precision 3D scanning or image recognition, and numerical integration to balance the computational efficiency with the accuracy. In conclusion, the discrete numerical simulations provided the mathematical solution. The computational efficiency was improved after the geometric simplifications. A robust theoretical tool was offered for the precise quantification of solar energy acquisition. These findings can also provide the reference data for the solar energy utilization facilities and the greenhouse structural optimization for thermal performance.

     

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