DataSheet1_Application of Transfer Function in Predicting the Temperature Field of Space Equipment Under Periodic External Heat Flow.pdf

The temperature state of outer space devices is influenced by the heat flow outside the space. Although traditional numerical simulation analysis methods are highly accurate, they are time-consuming and not conducive for researchers to quickly assess the effects of external heat flow variations and are difficult to apply to program optimization codes that require large-scale iterative calculations or to codes for on-board temperature control chips. This paper presents an analytical algorithm for heat transfer problems: The transfer function method is applied to the thermal control analysis of outer space equipment with a small computational effort and a simple and straightforward computational procedure. Although this analytical approach only considers a limited set of influencing parameters and the precision of the calculation cannot be compared with numerical methods, it can be applied to the early prediction of internal temperature changes caused by heat flow changes outside the modification of outer space devices, embedded in the optimization code of a design solution, or integrated into the code of an on-board temperature control chip with minimum computational effort. In general, the transfer function method is not suitable for solving the radiation term, whereas this paper excludes the radiation term from the time delay calculation based on the small time scale of the radiation term and solves the time delay of the internal temperature relative to the external surface temperature directly, whereas the amplitude decay of the internal temperature change relative to the external surface temperature fluctuation is solved by the steady-state method based on the long period of the external heat flow change. The practicality of the transfer function method in the design of thermal control of external space devices is evidenced by comparing the computational results with those of commercial software and experimental results.

航天器外部设备的温度状态受外部热流的影响。传统数值模拟分析方法虽精度较高，但耗时较长，不利于研究人员快速评估外部热流变化的影响，且难以应用于需要大规模迭代计算的程序优化代码，或是星载温度控制芯片的代码。本文提出一种用于传热问题的解析算法：将传递函数法（transfer function method）应用于航天器外部设备的热控分析，其计算量小、流程简洁直观。尽管该解析方法仅考虑了有限的一组影响参数，计算精度无法与数值方法相比，但可用于航天器外部设备改型后由外部热流变化引发的内部温度变化的早期预测，可嵌入设计方案的优化代码，或以极小的计算量集成至星载温度控制芯片的代码中。一般而言，传递函数法不适用于辐射项的求解，但本文基于辐射项的小时间尺度特性，将辐射项从延时计算中剔除，直接求解内部温度相对于外表面温度的延时；而针对外部热流变化的长周期特性，采用稳态法求解内部温度变化相对于外表面温度波动的幅值衰减。通过将计算结果与商用软件及实验结果进行对比，验证了传递函数法在航天器外部设备热控设计中的实用性。