摘要
为了提高矿井通风网络解算软件的可靠性和求解大型风网时的性能,研究了通风网络雅可比矩阵的对称特性,引入并行计算方法求雅可比矩阵与回路风量修正值。分析了牛顿法求解矿井通风网络的原理,发现并证明了通风网络雅可比矩阵的对称特性,提出用LDLT分解法求解回路风量修正值以有效减少每次迭代的时间。根据多CPU计算机的特点,研究了通风网络雅可比矩阵以及回路风量修正值方程组的并行求解模型。采用VC语言的多线程开发技术实现了通风网络的并行求解,通过两个算例验证了本模型的正确性与高效性。
A parallel calculation and symmetry property of the Jacobian matrix deduced from a ventilation network is adopted in this study to enhance the reliability and the performance of software on calculating Coalmine＇s ventilation network. The theory of solving Coalmine＇s ventilation network by using Newtown method is presented in some details,and then the symmetry characteristic of the Jacobian matrix of a ventilation network is illustrated. A LDLTdecomposition method is put forward to solve the corrected value of flow rate in a circuit,which can save a lot of time during each iteration. To take the most advantages of a multi-CPU computer,a parallel model is employed to solve the Jacobian matrix and the equations of corrected values in circuits of a ventilation network. This parallel model is achieved using the technology of multi-threads in VC language,whose validity and performance are verified by running it in two ventilation network samples.
出处
《煤炭学报》
EI
CAS
CSCD
北大核心
2016年第6期1454-1459,共6页
Journal of China Coal Society
基金
国家自然科学基金青年基金资助项目(51204135
51104116)
关键词
矿井通风网络解算
并行计算
牛顿法
雅可比矩阵
对称矩阵
mine ventilation network calculation
parallel calculation
Newtown method
Jacobian matrix
symmetric matrix
