线性多步量化状态系统算法及在溢流阀上应用

A linear multi-step quantized state system algorithm for stiff ordinary differential equations

传统数值积分方法难以计算溢流阀仿真过程中的刚性问题。为此,提出一种线性多步量化状态系统算法。对状态变量进行离散,通过预估量化变量值,将隐式算法以显式形式来表达,避免了迭代求解;根据多变量耦合情况来确定状态变量的跃迁条件,同时根据已知信息对下一时刻的计算结果进行修正,提高了整体计算的速度和精度。通过求解典型刚性算例,验证了算法的可行性。工程实例仿真结果表明,提出算法的性能优于传统算法和量化状态系统(Quantized State System,QSS)算法。

It has always been difficult for traditional numerical integration methods to solve stiff problem in the process of relief valve simulation.In this paper,a linear multi-step quantized state system algorithm(LMSQSS)is proposed.It discretizes the state variables,and expresses the implicit algorithm through explicit expression by the method of predicting the value of quantitative variables to avoid iterative solution.It confirms the transition condition of the state variable about coupling multiple variables,obtains results which will be used to correct the solution results at the next moment,and effectively improve the solution efficiency and accuracy.The feasibility of this algorithm is verified by the simulation of the typical stiff example.The simulation results of the engineering example show that the performance of the proposed method is better than the traditional methods and QSS method.