Concentration error analysis of space-based thin-film reflectors

Dongxu Wang, Guanheng Fan, Xintong Li, Yinchun Du, Kunpeng Liu
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Abstract

Among numerous space solar power systems, the concentrator systems is more favored due to the size of the battery array and the emission cost. Space concentrators generally consider using low-quality thin film structures, which, although lightweight, have large deformation errors. When studying the concentration characteristics, slope error is generally used to describe the error, but the surface error of thin film structures is generally measured by the root mean square value (RMS). We found that the deformation of thin film structures has characteristic dimensions, that is, the deformation within a certain size range shows monotonic changes. We can use the quotient of surface error and feature size instead of slope error for optical calculations. In addition, within a certain deviation range of light distribution, we can use a plane instead of a surface to simplify the model when modeling. Based on these theories, we conducted numerical examples to verify and obtained analysis results.
天基薄膜反射器的集中误差分析
在众多的空间太阳能发电系统中,聚光系统因其电池阵列的尺寸和发射成本而更受青睐。空间聚光器一般考虑采用质量较低的薄膜结构,这种结构虽然重量轻,但变形误差大。在研究浓度特性时,一般采用斜率误差来描述误差,而薄膜结构的表面误差一般采用均方根值(RMS)来测量。我们发现薄膜结构的变形具有特征尺寸,即在一定尺寸范围内的变形呈现单调变化。我们可以用表面误差和特征尺寸的商来代替斜率误差进行光学计算。另外,在一定的光分布偏差范围内,我们可以在建模时用平面代替曲面来简化模型。基于这些理论,我们进行了数值算例验证并得到了分析结果。
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