关于离散化模型仿真方法某些问题的研究

Reasearch on the Simulation Method with Discritization Model

讨论了四种按系统离散化的仿真方法,即状态转移法、台劳级数法、R—K法以及改进转移矩阵法,分析了它们之间的关系,比较了它们的计算量,指出在某些特殊情况下进一步提高算法精度的途径。分析了按环节离散化仿真方法的精度和数值稳定性问题,指出由于受精度(不高于二阶)和数值稳定性的限制,该法的仿真步长不能太大,仿真速度较低。因此,对于可以采用按系统离散化方法的问题,应尽量不采用按环节离散化方法。

Four simulation methods of state transition method,Tayler' s series methool,R-K method and modified transi-ton matrix methool are discussed. The relations among them are analysed. The computing amount,every one of them,is evaluated. The method to raise the algorithm accuracy is given. And at last,the advantages of simulation based on system discretization are presented.