高阶稀疏对称方程组在燃气管网计算中的应用

Application of Solving the Large Sparse Symmetric Equations in the Gas Network Analysis

针对燃气管网分析中常见的高阶稀疏对称正定方程组提出了一种变带宽法算法．文中分析了导纳矩阵庞大、稀疏、对称的特点，论述了对其压缩存储、方程求解的原理，并根据燃气管网的特点，提出了确定压缩矩阵的结构、直接生成导纳矩阵的方法．

This paper describes a calculation method of solving the system of large sparse symmetric positive infinite equations, which is common in gas network analysis. In this paper, the characteristics of admittance matrix of gas networks are analysed, the principles of storing admittance matrix and solving equations are deduced, and according to the characteristics of gas networks, the methods of obtaining the structure of matrix storage scheme and direct production of admittance matrix are presented.