线性热反馈控制的两变量放热化学模型的非线性分析

    Nonlinear Analysis of Two-variable Exothermic Chemical Reaction Model with Linear Heat Feedback Equipment

    • 摘要: 研究了具有平方自催化反应机制的两变量放热化学反应模型.在所研究的模型中加入了一个线性热反馈装置,通过这个内部的装置来调节反应物的浓度,控制反应的进行.研究结果表明,线性热反馈装置可以控制化学振荡的产生.浓度和热反馈控制之间的关系对反应历程具有决定作用.m0相同,控制温度θc取值不同时,获得相同的化学状态所需要的增益系数m1是不同的.适当的选择控制温度和增益系数,可使化学反应在预定的条件下进行,消除化工生产中不希望出现的极限环现象.

       

      Abstract: Two-variable exothermic chemical reaction model with quadratic auto-catalytic reactior mechanism are studied in this paper. A linear heat feedback equipment is added in this model. The concentration of reactant P and the reaction process are regulated and controlled by the interna equipment. It can be seen from the numerical result that the linear heat feedback equipment car control the generation of chemical oscillation, μ(θ)=m0+m1(θ-θc) can determine the reactioi process, in which μis the density of primary reactant, θC is,dimensionless temperature, θC is contro temperature, m1 is gain factor, mo is control parameter. When m0 is same and θc is different, thi same reaction state needs different mr Chemical reaction can be produced in schedule by choosing the appropriate θC and m1 It will avoid limit circle phenomena in the chemical production.

       

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