Synthesis and Parameterization of Gas Sensor Models

O. Bondar’, E. O. Brezhneva, O. Dobroserdov, K. Andreev, N. Polyakov
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Abstract

Purpose of research: search and analysis of existing models of gas-sensitive sensors. Development of mathematical models of gas-sensitive sensors of various types (semiconductor, thermocatalytic, optical, electrochemical) for their subsequent use in the training of artificial neural networks (INS). Investigation of main physicochemical patterns underlying the principles of sensor operation, consideration of the influence of environmental factors and cross-sensitivity on the sensor output signal. Comparison of simulation results with actual characteristics produced by the sensor industry. The concept of creating mathematical models is described. Their parameterization, research and assessment of adequacy are carried out.Methods. Numerical methods, computer modeling methods, electrical circuit theory, the theory of chemosorption and heterogeneous catalysis, the Freundlich and Langmuir equations, the Buger-Lambert-Behr law, the foundations of electrochemistry were used in creating mathematical models. Standard deviation (MSE) and relative error were calculated to assess the adequacy of the models.Results. The concept of creating mathematical models of sensors based on physicochemical patterns is described. This concept allows the process of data generation for training artificial neural networks used in multi-component gas analyzers for the purpose of joint information processing to be automated. Models of semiconductor, thermocatalytic, optical and electrochemical sensors were obtained and upgraded, considering the influence of additional factors on the sensor signal. Parameterization and assessment of adequacy and extrapolation properties of models by graphical dependencies presented in technical documentation of sensors were carried out. Errors (relative and RMS) of discrepancy of real data and results of simulation of gas-sensitive sensors by basic parameters are determined. The standard error of reproduction of the main characteristics of the sensors did not exceed 0.5%.Conclusion. Multivariable mathematical models of gas-sensitive sensors are synthesized, considering the influence of main gas and external factors (pressure, temperature, humidity, cross-sensitivity) on the output signal and allowing to generate training data for sensors of various types.
气体传感器模型的综合与参数化
研究目的:对现有的气敏传感器型号进行搜索和分析。开发各种类型(半导体、热催化、光学、电化学)气敏传感器的数学模型,用于人工神经网络(INS)的训练。研究传感器工作原理背后的主要物理化学模式,考虑环境因素和交叉灵敏度对传感器输出信号的影响。传感器行业生产的仿真结果与实际特性的比较。描述了创建数学模型的概念。对其进行参数化、充分性研究和评价。数值方法、计算机建模方法、电路理论、化学吸附理论和多相催化理论、Freundlich和Langmuir方程、berger - lambert - behr定律、电化学基础都被用于创建数学模型。计算标准偏差(MSE)和相对误差,以评估模型的充分性。描述了基于物理化学模式创建传感器数学模型的概念。这一概念允许在多组分气体分析仪中用于联合信息处理目的的训练人工神经网络的数据生成过程实现自动化。考虑附加因素对传感器信号的影响,获得并升级了半导体、热催化、光学和电化学传感器的模型。通过传感器技术文档中的图形依赖关系对模型的充分性和外推性进行了参数化和评估。确定了气敏传感器实际数据与仿真结果基本参数差异的相对误差和均方根误差。传感器主要特征再现的标准误差不超过0.5%。综合气敏传感器的多变量数学模型,考虑主要气体和外界因素(压力、温度、湿度、交叉灵敏度)对输出信号的影响,生成各种类型传感器的训练数据。
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