摘要
为解决牛顿-拉夫逊法和拟牛顿法进行天然气管网稳态分析时对初始值较敏感的问题,应用延拓法进行天然气管网稳态分析。3种方法应用到同一算例进行比较,延拓法比牛顿-拉夫逊法和拟牛顿法的计算效率有明显的提高,计算时间分别从牛顿-拉夫逊法和拟牛顿法的4.062 s和0.120 s降低到延拓法的0.110 s,迭代次数分别从1 790次和187次降低到41次。将延拓法应用到实例,计算结果与实测结果相对误差很小,符合工程实际要求。
Considering Newton-Raphson method and Quasi-Newton method being sensitive to initial value,homotopy method was proposed in this paper to be applied to the steady analysis of nature gas pipe network. And it turned out to be very effective in increasing the efficiency of calculation, in the same mathematical model, the time spent on calculation with the use of homotopy method was minimized from 4.062 seconds and 0.120 seconds（ with the use of Newton-Raphson method and Quasi-Newton meth- od） to 0. 110 seconds, and the iterations were reduced from 1 790 times and 187 times to 41 times. Applied to practical example, the relative error between the result of homotopy method and actual measurement is very small, and its resuh meets practical needs.
出处
《管道技术与设备》
CAS
2015年第2期4-6,共3页
Pipeline Technique and Equipment
关键词
天然气管网
稳态分析
算法
牛顿-拉夫逊法
拟牛顿法
延拓法
nature gas pipe network
steady analysis
algorithm
Newton-Raphson method
Quasi-Newton method
homotopymethod
