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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
The decarburization reaction rate is controlled by the transfer of carbon when the carbon content in molten steel is lower than the critical value [C] _0, which has been verified by the theory and experiment of decarburization kinetics. The mathematical expression is the following deterministic differential equation (1) It is widely used to control the decarbonization process in low-carbon area, but there are many random factors such as fluctuation of oxygen supply conditions, changes of emulsification state in splashing and slag, etc. In order to show the influence of random factors, Stochastic methods should be used to establish the mathematical model. Assuming that the interferences of the decay rates by individual factors are small and independent of each other, their total