摘要
研究先进的数学工具——计算机代数系统在热力系统建模中的应用基础上 ,提出了用计算机代数系统辅助进行数值计算的建模方法。利用计算机代数和符号运算功能 ,可以替代常规数值建模中公式推导 ,导数和积分计算繁杂、耗时而且容易出错的手工过程。以 Mathematica计算机代数系统作为软件平台 ,以某气化炉为对象进行了化学反应速率推导的建模示范。示范结果表明 :新的建模方法有以下优点 :公式推导和后期修改工作量大大减少 ,易于实现高效、快速自动建模 ;避免了数值推导的误差 ,模型精度高 ,收敛性好 ;可以直接生成仿真程序代码 ,程序流程简洁 ,可读性好。随着热动力系统的日益大型化和复杂化 ,新方法有广阔的应用前景 ,值得继续深入研究。图 3表 1参
This paper endeavored to apply the advanced mathematical tool, computer algebra, to the modeling method is proposed. By using the symbolic and simulation of thermal power systems. A computer algebra aided numerical modeing calculation feature of computer algebra, the troublesome and easy wrong making manual deduction of formula, derivatives and intergral can be substituted. An example of modeling with the new method has is demonstrated by using Mathematica as the software platform and taking a gasifier as the modeling object. The example shows that the new method the following advantages. Firstly, the diffic ulties for formula deduction and potential model revision are eased greatly and the high efficiency automatic modeling can be realized. Secondly, the error caused by numerical treatment of derivatives and integral are avoided and thus the accuracy and convergence of the model improved. Finally, simulation code can be obtained automatically with simple, clear and highly readable structure. Along with the increase of scale and complexity of thermal power systems, the new method will play an important role in the modeling and simulation of such systems. Figs 3, table 1 and refs 11.
出处
《动力工程》
CSCD
北大核心
2001年第5期1469-1473,1410,共6页
Power Engineering
基金
国家基础研究项目专项资助
关键词
建模
计算机代数
热动力系统
符号运算
仿真
modeling
computer algebra
thermal power systems
symbolic calculation
