减少基于结构-功能的有效导热系数测定中的主观误差
Reducing the Possibility of Subjective Error in the Determination of the Structure-Function-Based Effective Thermal Conductivity of Boards
摘要：
给出的单位阶跃耗散的热响应函数精确地表征了热系统。通常使用所谓的结构函数来代替热响应函数，该结构函数将三维描述为一维热扩散的等效模型，该结构函数借助于复杂的数学过程从热响应函数创建。利用该结构函数可以确定热力系统中某些元件的部分热容和部分热阻。对于几何形状简单、材料均质的热力系统（如均质杆或板等），若采用几何测量方法，则需进行热力系统的几何测量。已知，所讨论的材料的导热系数可以从结构函数的两个点以2- 5%的精度确定。本文提出了一种用宽范围/区间代替累积结构函数中的两点来确定热系数的方法，从而减少了因选择两点而带来的主观误差。上述方法被提出并在模拟以及测量的热瞬态响应中示出。
英文摘要：
The thermal response function given to a unit-step dissipation accurately characterizes the thermal system. Instead of the thermal response function the so-called structure function describing three-dimensional as the equivalent model of one-dimensional heat-spreading, created from the thermal response function with the help of complex mathematical procedures, is often used. Using the structure function the partial thermal capacity and partial heat resistance of certain elements of the thermal system can be identified. If the geometrical measurements of a thermal system of simple geometry and homogeneous material (such as a homogeneous rod or board, etc.) are known, the coefficient of thermal conductivity of the material in question can be determined from two points of the structure function at 2-5 per cent of accuracy. In this paper a method is presented which applies a wide range/section instead of two points of the cumulative structure function to determine the thermal coefficient, thus reducing the subjective error deriving from the selection of the two points. The above method is presented and illustrated in simulated as well as measured thermal transient responses.
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