基于流态随机Petri网的工业混合系统模型分析

Analysis of Industrial Hybrid Systems Based on Fluid Stochastic Petri Nets

工业中的混合动态系统模型所隐含的是连续与离散相混合的随机过程,使得对模型的数值分析和性能评价变得十分困难。针对此类系统,采用二阶流态随机Petri网进行模型的描述,将模型抽象为二阶偏微分方程组,并采用数值分析方法对模型进行求解。实例仿真表明,该方法能对工业中连续和离散相混合系统进行有效的建模与分析,具有重要实际价值。

An analysis method of industrial hybrid systems was proposed. Fluid stochastic Petri nets were put forward to model and analyze the systems. The dynamics of the resulting models were described by second order partial differential equations. The process of solving the equations on the basis of Crank-Nicolson scheme was described As an example, a mixing tank with modulated arrival and departure stream was used. The analysis results of fluid levels in the mixing tank were given.