针对定日镜场有效能流密度计算问题,提出一种基于反向投影法的定日镜表面有效能流密度计算方法。应用辐照度函数代替余弦效率和截断效率,判断是否存在阴影遮挡,计算单面定日镜功率,进而累加出定日镜场总功率。再对定日镜场总功率进行换序,计算定日镜上的区域积分,可得吸热器表面能流密度分布函数。据此,该分布可计算在给定面积或其他约束条件下功率最高的定日镜形状,并快速评估不同形状与排列下定日镜场的光学效率。数值模拟结果显示,与传统矩形及多边形相比,所提算法得出的定日镜形状在达到相同功率输出时所需的镜面面积更小且具有较好的稳定性。
Abstract
To solve the problem of effective energy flux density calculation for heliostat fields, a calculation method based on the backward projection algorithm is proposed for effective energy flux density on heliostat facets. An irradiance function is used to replace cosine efficiency and truncation efficiency to judge judge whether there is shadow occlusion, calculate the output power of a single heliostat, and accumulate the total power of the heliostat field. By reordering the total power of the heliostat field and integrating the area above the heliostat, the distribution function of the surface energy flow density of the heat absorber can be obtained. With this distribution function, the heliostat contour with maximum power under fixed mirror area or other constraints can be optimized, and the optical efficiency of heliostat fields with various contours and layouts can be quickly assessed. Numerical simulation results indicate that compared with traditional rectangular and polygonal heliostats, the heliostat contours optimized by the proposed algorithm need smaller mirror area for equal power output and feature favorable stability.
关键词
塔式太阳能热发电站 /
能流密度 /
定日镜场 /
光学效率 /
定日镜 /
反向投影法 /
建模
Key words
solar tower power station /
energy flux density /
heliostat field /
optical efficiency /
heliostat /
back-projection method /
mathematical modeling
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参考文献
[1] 张茂龙, 卫慧敏, 杜小泽, 等. 塔式太阳能镜场阴影与遮挡效率的改进算法[J]. 太阳能学报, 2016, 37(8): 1998-2003.
Zhang M L, Wei H M, Du X Z, et al.Modified algorithm of shadow and blocking efficiency for heliostat field of solar power tower[J]. Acta Energiae Solaris Sinica, 2016, 37(8): 1998-2003.
[2] Rizvi A A, Danish S N, El-Leathy A, et al.A review and classification of layouts and optimization techniques used in design of heliostat fields in solar central receiver systems[J]. Solar Energy, 2021, 218: 296-311.
[3] Lipps F W, Vant-Hull L L. A cellwise method for the optimization of large central receiver systems[J]. Solar Energy, 1978, 20(6): 505-516.
[4] 林一鸣, 高菁, 赵永辉, 等. 塔式太阳能定日镜场双阶段遗传优化布局设计[J]. 太阳能学报, 2026, 47(4): 775-781.
Lin Y M, Gao J, Zhao Y H, et al.Two-stage genetic optimization layout design for heliostat field of tower solar power plants[J]. Acta Energiae Solaris Sinica, 2026, 47(4): 775-781.
[5] 杜宇航, 刘向民, 王兴平, 等. 塔式光热电站定日镜不同聚焦策略的影响分析[J]. 动力工程学报, 2020, 40(5): 426-432.
Du Y H, Liu X M, Wang X P, et al.Influence analysis on different concentrating strategies of heliostats in a tower solar thermal power station[J]. Journal of Chinese Society of Power Engineering, 2020, 40(5): 426-432.
[6] Wagner M J, Wendelin T.SolarPILOT: a power tower solar field layout and characterization tool[J]. Solar Energy, 2018, 171: 185-196.
[7] Collado F J, Guallar J.Campo: generation of regular heliostat fields[J]. Renewable Energy, 2012, 46: 49-59.
[8] Siala F M F, Elayeb M E. Mathematical formulation of a graphical method for a no-blocking heliostat field layout[J]. Renewable Energy, 2001, 23(1): 77-92.
[9] Noone C J, Torrilhon M, Mitsos A.Heliostat field optimization: a new computationally efficient model and biomimetic layout[J]. Solar Energy, 2012, 86(2): 792-803.
[10] Richter P, Laukamp D, Gerdes L, et al.Heliostat field layout optimization with evolutionary algorithms[J]. EPiC series in computing, 2016, 41(2): 240-252.
[11] 高博, 刘建兴, 孙浩, 等. 基于自适应引力搜索算法的定日镜场优化布置[J]. 太阳能学报, 2022, 43(10): 119-125.
Gao B, Liu J X, Sun H, et al.Optimization of a heliostat field layout using adaptive gravity search algorithm[J]. Acta Energiae Solaris Sinica, 2022, 43(10): 119-125.
[12] Belaid A, Filali A, Gama A, et al.Design optimization of a solar tower power plant heliostat field by considering different heliostat shapes[J]. International Journal of Energy Research, 2020, 44(14): 11524-11541.
[13] Belaid A, Filali A, Hassani S, et al.Heliostat field optimization and comparisons between biomimetic spiral and radial-staggered layouts for different heliostat shapes[J]. Solar Energy, 2022, 238: 162-177.
[14] 李彬, 颜健, 周炜, 等. 服役载荷与结构参数对塔式太阳能定日镜光学精度的影响[J]. 光学学报, 2024, 44(6): 0623001.
Li B, Yan J, Zhou W, et al.Influence of service load and structural parameters on optical accuracy of solar tower heliostat[J]. Acta Optica Sinica, 2024, 44(6): 0623001.
[15] 魏秀东, 张凡, 许英朝. 基于摄影测量的定日镜面形误差检测方法研究[J]. 中国光学(中英文), 2023, 16(2): 425-433.
Wei X D, Zhang F, Xu Y C.The measurement method of heliostat surface shape error based on photogrammetry[J]. Chinese Optics, 2023, 16(2): 425-433.
[16] 张俊峰, 彭怀午, 田家铭, 等. 塔式太阳能吸热器表面热流密度预测及优化[J]. 太阳能学报, 2023, 44(12): 136-142.
Zhang J F, Peng H W, Tian J M, et al.Prediction and optimization of heat flux of surface receiver in tower concentrating solar power systen[J]. Acta Energiae Solaris Sinica, 2023, 44(12): 136-142.
基金
黑龙江省自然科学基金（LH2021E013）; 东北石油大学优势科研方向培育专项项目（2024YSKYFX-05）; 东北石油大学基础研究科研能力提升专项项目（2023JCYJ-01）
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