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矿井通风网络计算的牛顿法

THE NEWTON METHOD FOR CALCULATING THE MINE VENTILATION NETWORKS

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【作者】 李恕和王义章

【Author】 Li Shuhe and Wang Yizhang(Guizhou Polytechnic College)

【机构】 贵州工学院贵州工学院

【摘要】 本文对矿井通风网络计算的传统方法——斯考德-恒斯雷法——进行了分析之后,提出了更为严密的适用于电子计算机计算矿井通风网络的新方法——牛顿法。通过理论分析及若干实例计算,证明了斯考德-恒斯雷法在理论上是不够严格的,其收敛速度及精度受所选树和独立回路结构的影响很大,而牛顿法却无这些问题。实例证明所提出的数学模型和算法是正确的。

【Abstract】 In this paper, the conventional Scott-Hinsley method for calculating the mine ventilation network is analyzed. And a new method, the Newton system, which is more accurate and suitable for computer calculations is proposed. It is proved by theoretical analysis and by sample calculations that the former is not accurate enough and its convergence rate and accuracy is affected greatly by the "tree" selected and by the type of individual circuit. The Newton method does not have such problems. The examples indicated that the mathematical model and calculation method proposed by the authors are correct.

  • 【文献出处】 煤炭学报 ,Journl of China Coal Society , 编辑部邮箱 ,1982年04期
  • 【被引频次】22
  • 【下载频次】170
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