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首页> 外文期刊>Journal of Heat Transfer >Theoretical and Experimental Investigation of Thermal Dynamics of Steinhart-Hart Negative Temperature Coefficient Thermistors
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Theoretical and Experimental Investigation of Thermal Dynamics of Steinhart-Hart Negative Temperature Coefficient Thermistors

机译：Steinhart-Hart负温度系数热敏电阻热力学的理论和实验研究

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摘要

The temperature-dependent dynamics of a negative temperature coefficient (NTC) thermistor conducting variable electric current is modeled using the differential approach. The thermistor is assumed to follow the Steinhart-Hart resistance-temperature equation. The developed mathematical model consists of a nonlinear differential-algebraic equations system, and it was analyzed by the Adomian decomposition method (ADM) and its time-marching version known as the multistage Adomian decomposition method (MADM) as well as the Dormand-Prince (DP) numerical method. Five sets of experiments were conducted on five different NTC thermistors and the laboratory measurements were compared with the model predictions. It is demonstrated that the proposed model, when combined with the MADM, can accurately simulate the thermal behavior of the NTC thermistors. The MADM reproduces the experimental temperature dynamics of the five NTC thermistors with an average absolute relative error of about 2.601% while the corresponding errors for the DP method and the classic ADM are 8.122% and 51.255%, respectively. Also, it is shown that the MADM is highly efficient in terms of computational efficiency and it is approximately 6.5 times faster than the classic DP method, when tuned appropriately.
机译：使用差分方法对传导可变电流的负温度系数（NTC）热敏电阻的温度相关动力学进行建模。假定热敏电阻遵循Steinhart-Hart电阻温度方程式。所开发的数学模型由非线性微分-代数方程组组成，并通过Adomian分解方法（ADM）及其时间行进版本进行了分析，该模型称为多阶段Adomian分解方法（MADM）以及Dormand-Prince（ DP）数值方法。在五个不同的NTC热敏电阻上进行了五组实验，并将实验室测量值与模型预测值进行了比较。结果表明，所提出的模型与MADM结合使用时，可以准确地模拟NTC热敏电阻的热性能。 MADM再现了五个NTC热敏电阻的实验温度动态，平均绝对相对误差约为2.601％，而DP法和经典ADM的相应误差分别为8.122％和51.255％。此外，还显示出MADM在计算效率方面非常高效，并且在进行适当调整时，它比传统DP方法快大约6.5倍。

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