系统仿真动态数学模型的算法研究

Research on Computational Methods of Dynamic Mathematical Model for System Simulation

研究了系统仿真中具有代表性的既可描述微分环节又可描述惯性环节的动态数学模型的计算方法。通过理论分析,给出隐式欧拉法和梯形法的误差计算公式、误差符号及首次误差关系判断准则,找到影响计算精度的动态因子,给出动态因子的计算公式及计算方法,从而提高了此类模型的计算精度。

The computational methods of a typical dynamic mathematical model that can describe the differential element and inertial element for the system simulation are studied. By means of theoretical analysis, the error formulas, the error sign criteria and the error relationship criterion of implicit Euler method and trapezoidal method are given, the dynamic factor affecting the computational precision has been found, and the formula and the computational methods on the dynamic factor are given as well. The computational precision of the dynamic mathematical model like this can be improved by use of the dynamic factor.