液压系统Stiff隐式状态方程的数值解法

The Numerical Solution for Stiff Implicit State Equation of Hydraulic System

本文论述了液压系统模块式建模法中隐式状态方程的Stiff问题和数值解法,计算了含有稳定参数s的四阶Runge-Kutta型公式的绝对稳定区间,通过实例检验表明直接代数解法具有稳定可靠、精度高等优点。采用含稳定参数s的Runge-Kutta法的直接代数解法是解决液压仿真中Stiff问题的可行途径。

The Stiff problem and numerical solution of implicit state equation are discussed in this paper using a modularity modelling method for hydraulic system simulation. The absolutely stable interval of four order Runge-Kutta type formula with stable parameter s is calculated. It is pointed out that the direct algebric solution has gained benefit on stability,reliability,and adequate calculution accuracy. It is a feasible way to solve Stiff problem of hydraulic simulation using the direct algebric solution with in the Runge-Kutta method with stable parameter.