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<正> 钢液含碳量低于临界值[C]_0时,脱碳反应速率由碳的传递所控制,这已为脱碳动力学理论和实验所证实.其数学表达式是下述确定性微分方程式(1)广泛应用于控制低碳区脱碳过程.但生产中有众多随机因素的干扰,如供氧条件的波动、喷溅及渣中乳化态的变化等等.为了表示随机因素的影响,应该用随机方法建立数学模型.假定各随机因素对脱碳速率的干扰是微小的,并且彼此相互独立,则可将它们的总

A mathematical model is proposed and solved for the after-decarbonization at a range of low carbon using the stochastic differential equation.Certain statisti- cal parameters of the solution process have been calculated and discussed.The reliability of the model is verified by experimental data taking the volumetric mass transfer coefficient to be a constant.The application of the model to con- trol the after-decarbonization of converter process is studied considering an exten- sion of the volumetric mass transfer coefficient into general stochastic parame- ter.

参考文献

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[4] 杜才难.北京钢铁学院学报,1984
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