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Multilayer thermal object identification in frequency domain using IR thermography and vector fitting
International Journal of Circuit Theory and Applications ( IF 1.8 ) Pub Date : 2020-07-08 , DOI: 10.1002/cta.2845 Maria Strakowska 1 , Panagiotis Chatzipanagiotou 2 , Gilbert De Mey 3 , Vasilis Chatziathanasiou 2 , Bogusław Więcek 1
International Journal of Circuit Theory and Applications ( IF 1.8 ) Pub Date : 2020-07-08 , DOI: 10.1002/cta.2845 Maria Strakowska 1 , Panagiotis Chatzipanagiotou 2 , Gilbert De Mey 3 , Vasilis Chatziathanasiou 2 , Bogusław Więcek 1
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This paper deals with the identification of the thermal parameters of multilayer objects using the concept of thermal impedance. In order to perform such identification, temperature evolution in time is obtained by an infrared camera after power excitation is applied in the investigated structure. Infrared thermography offers the advantage of being a noncontact temperature detection and measurement method. In many practical cases, it is impossible to use contact temperature measurements. Typically, the power in the form of a step function is applied. In order to calculate the thermal impedance of an object, temperature and power are converted into the frequency domain using the Laplace transform for s = jω. Then, the poles of the thermal impedance are identified using vector fitting, which allows calculating the thermal impedance as a sum of partial fractions. This corresponds directly to the Foster network of a thermal object. In addition, the vector fitting method offers much better convergence in comparison with other methods using the polynomial rational approximation of thermal impedance. A considerable improvement of the numerical Laplace transform in high frequency range is proposed. In this approach, the variable s = jω is replaced by 
, and then, the integration result is corrected by the Taylor series. It leads to a kind of filtering of the temperature signal.
中文翻译：
红外热成像和矢量拟合在频域中多层热物体识别
本文利用热阻抗的概念来识别多层物体的热参数。为了进行这种识别，在将功率激励施加到所研究的结构中之后，通过红外摄像机获得温度随时间的变化。红外热成像技术具有作为非接触式温度检测和测量方法的优势。在许多实际情况下，不可能使用接触温度测量。通常，采用阶跃函数形式的功率。为了计算物体的热阻，使用s = jω的拉普拉斯变换将温度和功率转换到频域。然后，使用矢量拟合来识别热阻抗的极点，从而可以将热阻抗计算为部分分数的总和。这直接对应于热物体的Foster网络。此外，与采用热阻多项式有理逼近的其他方法相比，矢量拟合方法具有更好的收敛性。提出了在高频范围内数值拉普拉斯变换的显着改进。用这种方法，将变量s = jω替换为，然后用泰勒级数校正积分结果。这导致对温度信号的一种滤波。
更新日期：2020-07-08
, and then, the integration result is corrected by the Taylor series. It leads to a kind of filtering of the temperature signal.
中文翻译：
红外热成像和矢量拟合在频域中多层热物体识别
本文利用热阻抗的概念来识别多层物体的热参数。为了进行这种识别，在将功率激励施加到所研究的结构中之后，通过红外摄像机获得温度随时间的变化。红外热成像技术具有作为非接触式温度检测和测量方法的优势。在许多实际情况下，不可能使用接触温度测量。通常，采用阶跃函数形式的功率。为了计算物体的热阻，使用s = jω的拉普拉斯变换将温度和功率转换到频域。然后，使用矢量拟合来识别热阻抗的极点，从而可以将热阻抗计算为部分分数的总和。这直接对应于热物体的Foster网络。此外，与采用热阻多项式有理逼近的其他方法相比，矢量拟合方法具有更好的收敛性。提出了在高频范围内数值拉普拉斯变换的显着改进。用这种方法，将变量s = jω替换为
，然后用泰勒级数校正积分结果。这导致对温度信号的一种滤波。
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