化工过程动态分布参数模型的空间时间分步离散化实时仿真

根据动态仿真的实时性要求，对化工过程动态分布参数模型，提出了空间时间分步离散化的处理方法，即先只对空间自变量作离散化处理，将动态分布参数模型中的偏微分方程化成以时间为自变量的初值条件常微分方程组，然后采用ＲｕｎｇｅＫｕｔａ等方法求解。空间时间分步离散化差分格式与空间时间同时离散化的显式差分格式和ＣｒａｎｋＮｉｃｏｌｓｏｎ隐式差分格式相比较，该方法具有较高的准确性和较好的稳定性，并可适用于线性系统和非线性系统

REAL-TIME SIMULATION OF MODELS FOR DYNAMIC DISTRIBUTED PARAMETERS IN CHEMICAL PROCESS

A new method of stepwise discretization in space and time for the models of dynamic distributed parameters in chemical process is proposed to meet the need of real|time simulation. The space discretization by using the finite difference technique is applied to the partial differential equation to obtain the dynamic ordinary differential equations. The numerical methods are used to solve the ordinary differential equations with initial conditions, and the solution is carried forward in time which is an independent variable. This method has been successfully applied to the linear and nonlinear systems.