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利用塔板理论建立混合气体色谱柱分离的数学模型;分析了半导体气敏传感器的稳态、暂态响应与恢复特性,提出了关于传感器响应与恢复特性的3个假设:传感器稳态输出电阻的对数与气体浓度的对数服从正切关系,暂态响应特性取决于传感器当前的阻值状态和当前时刻的气体浓度, 恢复特性取决于传感器当前阻值状态和下一时刻的气体浓度。采用实验与数值逼近等数学方法确定所需参数。最后设计了验证实验,结果表明将3个假设用于油中气体监测系统的半导体传感器能够满足要求。
Based on the plate theory, a mathematical model for the separation of mixed gas columns was established. The steady-state transient response and recovery characteristics of the semiconductor gas sensor were analyzed. Three hypotheses about the response and recovery characteristics of the sensor were put forward: the steady-state output resistance of the sensor The logarithm of gas concentration follows a tangent relationship. The transient response depends on the current resistance state of the sensor and the current gas concentration. The recovery characteristic depends on the current resistance state of the sensor and the gas concentration at the next moment. Use mathematical methods such as experiment and numerical approximation to determine the required parameters. Finally, a verification experiment is designed. The results show that the three hypotheses can be satisfied by the semiconductor sensors used in the oil gas monitoring system.