| 系统仿真动态数学模型的算法研究 |
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| 引用本文： | 老大中,杨策,孙智杰,蒋滋康. 系统仿真动态数学模型的算法研究[J]. 系统仿真学报, 2003, 15(1): 104-107,112 |
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| 作者姓名： | 老大中 杨策 孙智杰 蒋滋康 |
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| 作者单位： | 1. 北京理工大学机电工程学院,北京,100081
2. 清华大学热能工程系,北京,100084 |
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| 摘 要： | 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，给出了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。
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| 关 键 词： | 系统仿真 动态数学模型 算法 计算机仿真 计算方法 动态因子 |
| 文章编号： | 1004-731X(2003)01-0104-04 |
Research on Computational Methods of Dynamic Mathematical Model for System Simulation |
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| LAO Da-zhong,YANG Ce,SUN Zhi-jie,JIANG Zi-kang. Research on Computational Methods of Dynamic Mathematical Model for System Simulation[J]. Journal of System Simulation, 2003, 15(1): 104-107,112 |
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| Authors: | LAO Da-zhong YANG Ce SUN Zhi-jie JIANG Zi-kang |
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| Affiliation: | LAO Da-zhong1,YANG Ce1,SUN Zhi-jie1,JIANG Zi-kang2 |
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| Abstract: | 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. |
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| Keywords: | system simulation dynamic mathematical model computional method dynamic factor |
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