牛顿管段方程法的燃气管网稳态分析

Steady-state Analysis of Gas Network Based on Newton Method for Pipeline Section Equation

分析了燃气管网稳态分析的节点法数学模型,在此基础上建立了牛顿法求解管段方程的数学模型。研究表明,牛顿管段方程法在计算量、初值要求、原始数据准备等方面与其他节点法相当,但在计算效率、收敛性、收敛速度等方面较好,具有环路法的特点。

The mathematical model of node method for steady-state analysis of gas network is analyzed, and on the basis of that, the mathematical model for solving pipeline section equation with Newton method is established. The study shows that Newton method for pipeline section equation is about equal to other node methods in terms of calculated amount, initial value requirement, original data preparation, etc. but it has the characteristics of loop method, such as better calculation efficiency, convergence, convergent rate, etc.