仿真系统中DAE求解技术现状

Current Situation of DAE Solution Technology in Simulation System

目的 通过对仿真系统中微分代数方程(Differential Algebraic Equations,DAE)求解过程的描述,协助开发人员在仿真建模求解方面有更加深入的理解,便于分析和查找仿真建模中的问题。方法 利用指标约简技术将DAE方程的求解问题转化为ODE方程的求解问题,并利用数值求解和误差估计等现有技术进行求解。结果 通过对现有技术进行分析和归纳概括,总结了DAE系统现有技术在指标约简、数值求解和误差分析等关键环节中存在的优点和不足。结论 指出了仿真建模领域未来需要重点研究的方向。

This paper aims to help developers have a deeper understanding of simulation modeling and solving through the description for the solution process of Differential Algebraic Equations(DAE) in the simulation system,which is convenient to analyze and find the problems in simulation modeling. Using the index reduction technology, the solving problem of DAE equation was transformed into the solving problem of ODE equation, and the existing technologies such as numerical solution and error estimation were used to solve it. The advantages and disadvantages of the existing technologies of DAE system in key links such as index reduction, numerical solution and error analysis were summarized by analyzing and summarizing the existing technologies. The key research directions in the field of simulation modeling in the future are pointed out.