Research of the Method For Measuring Temperature with a Two-Wire Connection of a Resistance Thermometer

O. G. Bondar, E. O. Brezhneva, K. A. Botikov
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Abstract

Purpose: study of a method for measuring temperature with a two-wire connection of a resistance thermometer (RT) using its mathematical model. Conduct model testing and research to evaluate the potential capabilities of the measurement information processing method, which is based on determining the resistance of the vehicle based on the results of integrating the transient process in the measuring circuit after turning off its power source, determine the parameters of the measuring circuit and the algorithm underlying the method . For a given range of measured temperatures, determine the type and parameters of the adaptive measurement algorithm model.Methods: methods of mathematical modeling, numerical methods. When developing a mathematical model of the method, the theory of electrical circuits was used, in particular, the analysis of transient processes. When analyzing the proposed solutions, the impact of electromagnetic interference and quantization effects was taken into account, and the effectiveness was assessed by the relative error () of measuring the resistance of the vehicle and comparison with analogues. The simulation was carried out in the MATLAB environment.Results: a mathematical model of an integrating method for measuring temperature using a TS was developed, the optimal value of the shunt capacitance was selected for the range of measured temperatures 0 ... 660 °C, providing within the range the calculated value of the root-mean-square error (RMS) of 0.02% -0.04%, the optimal value was determined first integration interval (4 ms). It is shown that for the adaptive measurement algorithm it is possible to select a linear model. The effectiveness of the method was assessed in comparison with the method of determining the resistance of the vehicle using two readings of the transient process.Conclusion: The results of mathematical modeling of a method for measuring temperature based on estimating the resistance value of a vehicle based on the results of numerical integration of the transient discharge process of a capacitor connected in parallel with a resistor are presented, making it possible to optimize the algorithms underlying its operation, as well as to judge the effectiveness of the proposed solution. The two-wire method, based on determining the resistance of the vehicle based on the results of integrating the transient process when the power of the measuring circuit is turned off, makes it possible to increase the accuracy of temperature measurement comparable to the accuracy of three and four-wire circuits, eliminating the disadvantages associated with their complexity and high cost.
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利用电阻温度计的双线连接测量温度的方法研究
目的:利用数学模型研究电阻温度计(RT)双线连接测量温度的方法。进行模型测试和研究,以评估测量信息处理方法的潜在能力,该方法的基础是在关闭电源后根据测量电路中瞬态过程的积分结果确定车辆的电阻,确定测量电路的参数和该方法的基本算法。对于给定的测量温度范围,确定自适应测量算法模型的类型和参数。方法:数学建模方法、数值方法。在建立该方法的数学模型时,使用了电路理论,特别是瞬态过程分析。在分析所提出的解决方案时,考虑了电磁干扰和量化效应的影响,并通过测量车辆电阻的相对误差 () 以及与类似方法的比较来评估其有效性。模拟在 MATLAB 环境中进行。结果:建立了使用 TS 测量温度的积分法数学模型,为测量温度范围 0 ... 选择了最佳并联电容值。660 °C 的范围内,均方根误差 (RMS) 的计算值为 0.02% -0.04%。结果表明,自适应测量算法可以选择线性模型。通过与使用瞬态过程的两个读数确定车辆阻力的方法进行比较,评估了该方法的有效性:本文介绍了根据与电阻器并联的电容器瞬态放电过程的数值积分结果估算车辆电阻值的温度测量方法的数学建模结果,从而可以优化其运行所依据的算法,并判断所提议解决方案的有效性。两线法是根据测量电路电源关闭时瞬态过程的积分结果来确定车辆电阻的,这种方法可以提高温度测量的精确度,与三线和四线电路的精确度相当,消除了其复杂性和高成本带来的缺点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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